A-groups

An A-group is a group all of whose Sylow subgroups are abelian. See also Z-groups.

Groups of order 1

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C1Trivial group11+C11,1

Groups of order 2

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C2Cyclic group21+C22,1

Groups of order 3

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C3Cyclic group; = A3 = triangle rotations31C33,1

Groups of order 4

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C4Cyclic group; = square rotations41C44,1
C22Klein 4-group V4 = elementary abelian group of type [2,2]; = rectangle symmetries4C2^24,2

Groups of order 5

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C5Cyclic group; = pentagon rotations51C55,1

Groups of order 6

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C6Cyclic group; = hexagon rotations61C66,2
S3Symmetric group on 3 letters; = D3 = GL2(F2) = triangle symmetries = 1st non-abelian group32+S36,1

Groups of order 7

dρLabelID
C7Cyclic group71C77,1

Groups of order 8

dρLabelID
C8Cyclic group81C88,1
C23Elementary abelian group of type [2,2,2]8C2^38,5
C2xC4Abelian group of type [2,4]8C2xC48,2

Groups of order 9

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C9Cyclic group91C99,1
C32Elementary abelian group of type [3,3]9C3^29,2

Groups of order 10

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C10Cyclic group101C1010,2
D5Dihedral group; = pentagon symmetries52+D510,1

Groups of order 11

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C11Cyclic group111C1111,1

Groups of order 12

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C12Cyclic group121C1212,2
A4Alternating group on 4 letters; = PSL2(F3) = L2(3) = tetrahedron rotations43+A412,3
D6Dihedral group; = C2xS3 = hexagon symmetries62+D612,4
Dic3Dicyclic group; = C3:C4122-Dic312,1
C2xC6Abelian group of type [2,6]12C2xC612,5

Groups of order 13

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C13Cyclic group131C1313,1

Groups of order 14

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C14Cyclic group141C1414,2
D7Dihedral group72+D714,1

Groups of order 15

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C15Cyclic group151C1515,1

Groups of order 16

dρLabelID
C16Cyclic group161C1616,1
C42Abelian group of type [4,4]16C4^216,2
C24Elementary abelian group of type [2,2,2,2]16C2^416,14
C2xC8Abelian group of type [2,8]16C2xC816,5
C22xC4Abelian group of type [2,2,4]16C2^2xC416,10

Groups of order 17

dρLabelID
C17Cyclic group171C1717,1

Groups of order 18

dρLabelID
C18Cyclic group181C1818,2
D9Dihedral group92+D918,1
C3:S3The semidirect product of C3 and S3 acting via S3/C3=C29C3:S318,4
C3xC6Abelian group of type [3,6]18C3xC618,5
C3xS3Direct product of C3 and S3; = U2(F2)62C3xS318,3

Groups of order 19

dρLabelID
C19Cyclic group191C1919,1

Groups of order 20

dρLabelID
C20Cyclic group201C2020,2
D10Dihedral group; = C2xD5102+D1020,4
F5Frobenius group; = C5:C4 = AGL1(F5) = Aut(D5) = Hol(C5) = Sz(2)54+F520,3
Dic5Dicyclic group; = C5:2C4202-Dic520,1
C2xC10Abelian group of type [2,10]20C2xC1020,5

Groups of order 21

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C21Cyclic group211C2121,2
C7:C3The semidirect product of C7 and C3 acting faithfully73C7:C321,1

Groups of order 22

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C22Cyclic group221C2222,2
D11Dihedral group112+D1122,1

Groups of order 23

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C23Cyclic group231C2323,1

Groups of order 24

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C24Cyclic group241C2424,2
C3:C8The semidirect product of C3 and C8 acting via C8/C4=C2242C3:C824,1
C2xC12Abelian group of type [2,12]24C2xC1224,9
C22xC6Abelian group of type [2,2,6]24C2^2xC624,15
C2xA4Direct product of C2 and A4; = AΣL1(F8)63+C2xA424,13
C4xS3Direct product of C4 and S3122C4xS324,5
C22xS3Direct product of C22 and S312C2^2xS324,14
C2xDic3Direct product of C2 and Dic324C2xDic324,7

Groups of order 25

dρLabelID
C25Cyclic group251C2525,1
C52Elementary abelian group of type [5,5]25C5^225,2

Groups of order 26

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C26Cyclic group261C2626,2
D13Dihedral group132+D1326,1

Groups of order 27

dρLabelID
C27Cyclic group271C2727,1
C33Elementary abelian group of type [3,3,3]27C3^327,5
C3xC9Abelian group of type [3,9]27C3xC927,2

Groups of order 28

dρLabelID
C28Cyclic group281C2828,2
D14Dihedral group; = C2xD7142+D1428,3
Dic7Dicyclic group; = C7:C4282-Dic728,1
C2xC14Abelian group of type [2,14]28C2xC1428,4

Groups of order 29

dρLabelID
C29Cyclic group291C2929,1

Groups of order 30

dρLabelID
C30Cyclic group301C3030,4
D15Dihedral group152+D1530,3
C5xS3Direct product of C5 and S3152C5xS330,1
C3xD5Direct product of C3 and D5152C3xD530,2

Groups of order 31

dρLabelID
C31Cyclic group311C3131,1

Groups of order 32

dρLabelID
C32Cyclic group321C3232,1
C25Elementary abelian group of type [2,2,2,2,2]32C2^532,51
C4xC8Abelian group of type [4,8]32C4xC832,3
C2xC16Abelian group of type [2,16]32C2xC1632,16
C2xC42Abelian group of type [2,4,4]32C2xC4^232,21
C22xC8Abelian group of type [2,2,8]32C2^2xC832,36
C23xC4Abelian group of type [2,2,2,4]32C2^3xC432,45

Groups of order 33

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C33Cyclic group331C3333,1

Groups of order 34

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C34Cyclic group341C3434,2
D17Dihedral group172+D1734,1

Groups of order 35

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C35Cyclic group351C3535,1

Groups of order 36

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C36Cyclic group361C3636,2
D18Dihedral group; = C2xD9182+D1836,4
Dic9Dicyclic group; = C9:C4362-Dic936,1
C32:C4The semidirect product of C32 and C4 acting faithfully64+C3^2:C436,9
C3:Dic3The semidirect product of C3 and Dic3 acting via Dic3/C6=C236C3:Dic336,7
C3.A4The central extension by C3 of A4183C3.A436,3
C62Abelian group of type [6,6]36C6^236,14
C2xC18Abelian group of type [2,18]36C2xC1836,5
C3xC12Abelian group of type [3,12]36C3xC1236,8
S32Direct product of S3 and S3; = Spin+4(F2) = Hol(S3)64+S3^236,10
S3xC6Direct product of C6 and S3122S3xC636,12
C3xA4Direct product of C3 and A4123C3xA436,11
C3xDic3Direct product of C3 and Dic3122C3xDic336,6
C2xC3:S3Direct product of C2 and C3:S318C2xC3:S336,13

Groups of order 37

dρLabelID
C37Cyclic group371C3737,1

Groups of order 38

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C38Cyclic group381C3838,2
D19Dihedral group192+D1938,1

Groups of order 39

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C39Cyclic group391C3939,2
C13:C3The semidirect product of C13 and C3 acting faithfully133C13:C339,1

Groups of order 40

dρLabelID
C40Cyclic group401C4040,2
C5:C8The semidirect product of C5 and C8 acting via C8/C2=C4404-C5:C840,3
C5:2C8The semidirect product of C5 and C8 acting via C8/C4=C2402C5:2C840,1
C2xC20Abelian group of type [2,20]40C2xC2040,9
C22xC10Abelian group of type [2,2,10]40C2^2xC1040,14
C2xF5Direct product of C2 and F5; = Aut(D10) = Hol(C10)104+C2xF540,12
C4xD5Direct product of C4 and D5202C4xD540,5
C22xD5Direct product of C22 and D520C2^2xD540,13
C2xDic5Direct product of C2 and Dic540C2xDic540,7

Groups of order 41

dρLabelID
C41Cyclic group411C4141,1

Groups of order 42

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C42Cyclic group421C4242,6
D21Dihedral group212+D2142,5
F7Frobenius group; = C7:C6 = AGL1(F7) = Aut(D7) = Hol(C7)76+F742,1
S3xC7Direct product of C7 and S3212S3xC742,3
C3xD7Direct product of C3 and D7212C3xD742,4
C2xC7:C3Direct product of C2 and C7:C3143C2xC7:C342,2

Groups of order 43

dρLabelID
C43Cyclic group431C4343,1

Groups of order 44

dρLabelID
C44Cyclic group441C4444,2
D22Dihedral group; = C2xD11222+D2244,3
Dic11Dicyclic group; = C11:C4442-Dic1144,1
C2xC22Abelian group of type [2,22]44C2xC2244,4

Groups of order 45

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C45Cyclic group451C4545,1
C3xC15Abelian group of type [3,15]45C3xC1545,2

Groups of order 46

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C46Cyclic group461C4646,2
D23Dihedral group232+D2346,1

Groups of order 47

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C47Cyclic group471C4747,1

Groups of order 48

dρLabelID
C48Cyclic group481C4848,2
C42:C3The semidirect product of C42 and C3 acting faithfully123C4^2:C348,3
C22:A4The semidirect product of C22 and A4 acting via A4/C22=C312C2^2:A448,50
C3:C16The semidirect product of C3 and C16 acting via C16/C8=C2482C3:C1648,1
C4xC12Abelian group of type [4,12]48C4xC1248,20
C2xC24Abelian group of type [2,24]48C2xC2448,23
C23xC6Abelian group of type [2,2,2,6]48C2^3xC648,52
C22xC12Abelian group of type [2,2,12]48C2^2xC1248,44
C4xA4Direct product of C4 and A4123C4xA448,31
C22xA4Direct product of C22 and A412C2^2xA448,49
S3xC8Direct product of C8 and S3242S3xC848,4
S3xC23Direct product of C23 and S324S3xC2^348,51
C4xDic3Direct product of C4 and Dic348C4xDic348,11
C22xDic3Direct product of C22 and Dic348C2^2xDic348,42
S3xC2xC4Direct product of C2xC4 and S324S3xC2xC448,35
C2xC3:C8Direct product of C2 and C3:C848C2xC3:C848,9

Groups of order 49

dρLabelID
C49Cyclic group491C4949,1
C72Elementary abelian group of type [7,7]49C7^249,2

Groups of order 50

dρLabelID
C50Cyclic group501C5050,2
D25Dihedral group252+D2550,1
C5:D5The semidirect product of C5 and D5 acting via D5/C5=C225C5:D550,4
C5xC10Abelian group of type [5,10]50C5xC1050,5
C5xD5Direct product of C5 and D5; = AΣL1(F25)102C5xD550,3

Groups of order 51

dρLabelID
C51Cyclic group511C5151,1

Groups of order 52

dρLabelID
C52Cyclic group521C5252,2
D26Dihedral group; = C2xD13262+D2652,4
Dic13Dicyclic group; = C13:2C4522-Dic1352,1
C13:C4The semidirect product of C13 and C4 acting faithfully134+C13:C452,3
C2xC26Abelian group of type [2,26]52C2xC2652,5

Groups of order 53

dρLabelID
C53Cyclic group531C5353,1

Groups of order 54

dρLabelID
C54Cyclic group541C5454,2
D27Dihedral group272+D2754,1
C9:S3The semidirect product of C9 and S3 acting via S3/C3=C227C9:S354,7
C33:C23rd semidirect product of C33 and C2 acting faithfully27C3^3:C254,14
C3xC18Abelian group of type [3,18]54C3xC1854,9
C32xC6Abelian group of type [3,3,6]54C3^2xC654,15
S3xC9Direct product of C9 and S3182S3xC954,4
C3xD9Direct product of C3 and D9182C3xD954,3
S3xC32Direct product of C32 and S318S3xC3^254,12
C3xC3:S3Direct product of C3 and C3:S318C3xC3:S354,13

Groups of order 55

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C55Cyclic group551C5555,2
C11:C5The semidirect product of C11 and C5 acting faithfully115C11:C555,1

Groups of order 56

dρLabelID
C56Cyclic group561C5656,2
F8Frobenius group; = C23:C7 = AGL1(F8)87+F856,11
C7:C8The semidirect product of C7 and C8 acting via C8/C4=C2562C7:C856,1
C2xC28Abelian group of type [2,28]56C2xC2856,8
C22xC14Abelian group of type [2,2,14]56C2^2xC1456,13
C4xD7Direct product of C4 and D7282C4xD756,4
C22xD7Direct product of C22 and D728C2^2xD756,12
C2xDic7Direct product of C2 and Dic756C2xDic756,6

Groups of order 57

dρLabelID
C57Cyclic group571C5757,2
C19:C3The semidirect product of C19 and C3 acting faithfully193C19:C357,1

Groups of order 58

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C58Cyclic group581C5858,2
D29Dihedral group292+D2958,1

Groups of order 59

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C59Cyclic group591C5959,1

Groups of order 60

dρLabelID
C60Cyclic group601C6060,4
A5Alternating group on 5 letters; = SL2(F4) = L2(5) = L2(4) = icosahedron/dodecahedron rotations; 1st non-abelian simple53+A560,5
D30Dihedral group; = C2xD15302+D3060,12
Dic15Dicyclic group; = C3:Dic5602-Dic1560,3
C3:F5The semidirect product of C3 and F5 acting via F5/D5=C2154C3:F560,7
C2xC30Abelian group of type [2,30]60C2xC3060,13
S3xD5Direct product of S3 and D5154+S3xD560,8
C3xF5Direct product of C3 and F5154C3xF560,6
C5xA4Direct product of C5 and A4203C5xA460,9
C6xD5Direct product of C6 and D5302C6xD560,10
S3xC10Direct product of C10 and S3302S3xC1060,11
C5xDic3Direct product of C5 and Dic3602C5xDic360,1
C3xDic5Direct product of C3 and Dic5602C3xDic560,2

Groups of order 61

dρLabelID
C61Cyclic group611C6161,1

Groups of order 62

dρLabelID
C62Cyclic group621C6262,2
D31Dihedral group312+D3162,1

Groups of order 63

dρLabelID
C63Cyclic group631C6363,2
C7:C9The semidirect product of C7 and C9 acting via C9/C3=C3633C7:C963,1
C3xC21Abelian group of type [3,21]63C3xC2163,4
C3xC7:C3Direct product of C3 and C7:C3213C3xC7:C363,3

Groups of order 64

dρLabelID
C64Cyclic group641C6464,1
C82Abelian group of type [8,8]64C8^264,2
C43Abelian group of type [4,4,4]64C4^364,55
C26Elementary abelian group of type [2,2,2,2,2,2]64C2^664,267
C4xC16Abelian group of type [4,16]64C4xC1664,26
C2xC32Abelian group of type [2,32]64C2xC3264,50
C23xC8Abelian group of type [2,2,2,8]64C2^3xC864,246
C24xC4Abelian group of type [2,2,2,2,4]64C2^4xC464,260
C22xC16Abelian group of type [2,2,16]64C2^2xC1664,183
C22xC42Abelian group of type [2,2,4,4]64C2^2xC4^264,192
C2xC4xC8Abelian group of type [2,4,8]64C2xC4xC864,83

Groups of order 65

dρLabelID
C65Cyclic group651C6565,1

Groups of order 66

dρLabelID
C66Cyclic group661C6666,4
D33Dihedral group332+D3366,3
S3xC11Direct product of C11 and S3332S3xC1166,1
C3xD11Direct product of C3 and D11332C3xD1166,2

Groups of order 67

dρLabelID
C67Cyclic group671C6767,1

Groups of order 68

dρLabelID
C68Cyclic group681C6868,2
D34Dihedral group; = C2xD17342+D3468,4
Dic17Dicyclic group; = C17:2C4682-Dic1768,1
C17:C4The semidirect product of C17 and C4 acting faithfully174+C17:C468,3
C2xC34Abelian group of type [2,34]68C2xC3468,5

Groups of order 69

dρLabelID
C69Cyclic group691C6969,1

Groups of order 70

dρLabelID
C70Cyclic group701C7070,4
D35Dihedral group352+D3570,3
C7xD5Direct product of C7 and D5352C7xD570,1
C5xD7Direct product of C5 and D7352C5xD770,2

Groups of order 71

dρLabelID
C71Cyclic group711C7171,1

Groups of order 72

dρLabelID
C72Cyclic group721C7272,2
F9Frobenius group; = C32:C8 = AGL1(F9)98+F972,39
C32:2C8The semidirect product of C32 and C8 acting via C8/C2=C4244-C3^2:2C872,19
C9:C8The semidirect product of C9 and C8 acting via C8/C4=C2722C9:C872,1
C32:4C82nd semidirect product of C32 and C8 acting via C8/C4=C272C3^2:4C872,13
C6.D62nd non-split extension by C6 of D6 acting via D6/S3=C2124+C6.D672,21
C2xC36Abelian group of type [2,36]72C2xC3672,9
C3xC24Abelian group of type [3,24]72C3xC2472,14
C6xC12Abelian group of type [6,12]72C6xC1272,36
C2xC62Abelian group of type [2,6,6]72C2xC6^272,50
C22xC18Abelian group of type [2,2,18]72C2^2xC1872,18
S3xA4Direct product of S3 and A4126+S3xA472,44
C6xA4Direct product of C6 and A4183C6xA472,47
S3xC12Direct product of C12 and S3242S3xC1272,27
S3xDic3Direct product of S3 and Dic3244-S3xDic372,20
C6xDic3Direct product of C6 and Dic324C6xDic372,29
C4xD9Direct product of C4 and D9362C4xD972,5
C22xD9Direct product of C22 and D936C2^2xD972,17
C2xDic9Direct product of C2 and Dic972C2xDic972,7
C2xS32Direct product of C2, S3 and S3124+C2xS3^272,46
C2xC32:C4Direct product of C2 and C32:C4124+C2xC3^2:C472,45
C2xC3.A4Direct product of C2 and C3.A4183C2xC3.A472,16
C3xC3:C8Direct product of C3 and C3:C8242C3xC3:C872,12
S3xC2xC6Direct product of C2xC6 and S324S3xC2xC672,48
C4xC3:S3Direct product of C4 and C3:S336C4xC3:S372,32
C22xC3:S3Direct product of C22 and C3:S336C2^2xC3:S372,49
C2xC3:Dic3Direct product of C2 and C3:Dic372C2xC3:Dic372,34

Groups of order 73

dρLabelID
C73Cyclic group731C7373,1

Groups of order 74

dρLabelID
C74Cyclic group741C7474,2
D37Dihedral group372+D3774,1

Groups of order 75

dρLabelID
C75Cyclic group751C7575,1
C52:C3The semidirect product of C52 and C3 acting faithfully153C5^2:C375,2
C5xC15Abelian group of type [5,15]75C5xC1575,3

Groups of order 76

dρLabelID
C76Cyclic group761C7676,2
D38Dihedral group; = C2xD19382+D3876,3
Dic19Dicyclic group; = C19:C4762-Dic1976,1
C2xC38Abelian group of type [2,38]76C2xC3876,4

Groups of order 77

dρLabelID
C77Cyclic group771C7777,1

Groups of order 78

dρLabelID
C78Cyclic group781C7878,6
D39Dihedral group392+D3978,5
C13:C6The semidirect product of C13 and C6 acting faithfully136+C13:C678,1
S3xC13Direct product of C13 and S3392S3xC1378,3
C3xD13Direct product of C3 and D13392C3xD1378,4
C2xC13:C3Direct product of C2 and C13:C3263C2xC13:C378,2

Groups of order 79

dρLabelID
C79Cyclic group791C7979,1

Groups of order 80

dρLabelID
C80Cyclic group801C8080,2
C24:C5The semidirect product of C24 and C5 acting faithfully105+C2^4:C580,49
D5:C8The semidirect product of D5 and C8 acting via C8/C4=C2404D5:C880,28
C5:C16The semidirect product of C5 and C16 acting via C16/C4=C4804C5:C1680,3
C5:2C16The semidirect product of C5 and C16 acting via C16/C8=C2802C5:2C1680,1
C4xC20Abelian group of type [4,20]80C4xC2080,20
C2xC40Abelian group of type [2,40]80C2xC4080,23
C22xC20Abelian group of type [2,2,20]80C2^2xC2080,45
C23xC10Abelian group of type [2,2,2,10]80C2^3xC1080,52
C4xF5Direct product of C4 and F5204C4xF580,30
C22xF5Direct product of C22 and F520C2^2xF580,50
C8xD5Direct product of C8 and D5402C8xD580,4
C23xD5Direct product of C23 and D540C2^3xD580,51
C4xDic5Direct product of C4 and Dic580C4xDic580,11
C22xDic5Direct product of C22 and Dic580C2^2xDic580,43
C2xC4xD5Direct product of C2xC4 and D540C2xC4xD580,36
C2xC5:C8Direct product of C2 and C5:C880C2xC5:C880,32
C2xC5:2C8Direct product of C2 and C5:2C880C2xC5:2C880,9

Groups of order 81

dρLabelID
C81Cyclic group811C8181,1
C92Abelian group of type [9,9]81C9^281,2
C34Elementary abelian group of type [3,3,3,3]81C3^481,15
C3xC27Abelian group of type [3,27]81C3xC2781,5
C32xC9Abelian group of type [3,3,9]81C3^2xC981,11

Groups of order 82

dρLabelID
C82Cyclic group821C8282,2
D41Dihedral group412+D4182,1

Groups of order 83

dρLabelID
C83Cyclic group831C8383,1

Groups of order 84

dρLabelID
C84Cyclic group841C8484,6
D42Dihedral group; = C2xD21422+D4284,14
Dic21Dicyclic group; = C3:Dic7842-Dic2184,5
C7:A4The semidirect product of C7 and A4 acting via A4/C22=C3283C7:A484,11
C7:C12The semidirect product of C7 and C12 acting via C12/C2=C6286-C7:C1284,1
C2xC42Abelian group of type [2,42]84C2xC4284,15
C2xF7Direct product of C2 and F7; = Aut(D14) = Hol(C14)146+C2xF784,7
S3xD7Direct product of S3 and D7214+S3xD784,8
C7xA4Direct product of C7 and A4283C7xA484,10
C6xD7Direct product of C6 and D7422C6xD784,12
S3xC14Direct product of C14 and S3422S3xC1484,13
C7xDic3Direct product of C7 and Dic3842C7xDic384,3
C3xDic7Direct product of C3 and Dic7842C3xDic784,4
C4xC7:C3Direct product of C4 and C7:C3283C4xC7:C384,2
C22xC7:C3Direct product of C22 and C7:C328C2^2xC7:C384,9

Groups of order 85

dρLabelID
C85Cyclic group851C8585,1

Groups of order 86

dρLabelID
C86Cyclic group861C8686,2
D43Dihedral group432+D4386,1

Groups of order 87

dρLabelID
C87Cyclic group871C8787,1

Groups of order 88

dρLabelID
C88Cyclic group881C8888,2
C11:C8The semidirect product of C11 and C8 acting via C8/C4=C2882C11:C888,1
C2xC44Abelian group of type [2,44]88C2xC4488,8
C22xC22Abelian group of type [2,2,22]88C2^2xC2288,12
C4xD11Direct product of C4 and D11442C4xD1188,4
C22xD11Direct product of C22 and D1144C2^2xD1188,11
C2xDic11Direct product of C2 and Dic1188C2xDic1188,6

Groups of order 89

dρLabelID
C89Cyclic group891C8989,1

Groups of order 90

dρLabelID
C90Cyclic group901C9090,4
D45Dihedral group452+D4590,3
C3:D15The semidirect product of C3 and D15 acting via D15/C15=C245C3:D1590,9
C3xC30Abelian group of type [3,30]90C3xC3090,10
S3xC15Direct product of C15 and S3302S3xC1590,6
C3xD15Direct product of C3 and D15302C3xD1590,7
C5xD9Direct product of C5 and D9452C5xD990,1
C9xD5Direct product of C9 and D5452C9xD590,2
C32xD5Direct product of C32 and D545C3^2xD590,5
C5xC3:S3Direct product of C5 and C3:S345C5xC3:S390,8

Groups of order 91

dρLabelID
C91Cyclic group911C9191,1

Groups of order 92

dρLabelID
C92Cyclic group921C9292,2
D46Dihedral group; = C2xD23462+D4692,3
Dic23Dicyclic group; = C23:C4922-Dic2392,1
C2xC46Abelian group of type [2,46]92C2xC4692,4

Groups of order 93

dρLabelID
C93Cyclic group931C9393,2
C31:C3The semidirect product of C31 and C3 acting faithfully313C31:C393,1

Groups of order 94

dρLabelID
C94Cyclic group941C9494,2
D47Dihedral group472+D4794,1

Groups of order 95

dρLabelID
C95Cyclic group951C9595,1

Groups of order 96

dρLabelID
C96Cyclic group961C9696,2
C3:C32The semidirect product of C3 and C32 acting via C32/C16=C2962C3:C3296,1
C4xC24Abelian group of type [4,24]96C4xC2496,46
C2xC48Abelian group of type [2,48]96C2xC4896,59
C24xC6Abelian group of type [2,2,2,2,6]96C2^4xC696,231
C22xC24Abelian group of type [2,2,24]96C2^2xC2496,176
C23xC12Abelian group of type [2,2,2,12]96C2^3xC1296,220
C2xC4xC12Abelian group of type [2,4,12]96C2xC4xC1296,161
C8xA4Direct product of C8 and A4243C8xA496,73
C23xA4Direct product of C23 and A424C2^3xA496,228
S3xC16Direct product of C16 and S3482S3xC1696,4
S3xC42Direct product of C42 and S348S3xC4^296,78
S3xC24Direct product of C24 and S348S3xC2^496,230
C8xDic3Direct product of C8 and Dic396C8xDic396,20
C23xDic3Direct product of C23 and Dic396C2^3xDic396,218
C2xC42:C3Direct product of C2 and C42:C3123C2xC4^2:C396,68
C2xC22:A4Direct product of C2 and C22:A412C2xC2^2:A496,229
C2xC4xA4Direct product of C2xC4 and A424C2xC4xA496,196
S3xC2xC8Direct product of C2xC8 and S348S3xC2xC896,106
S3xC22xC4Direct product of C22xC4 and S348S3xC2^2xC496,206
C4xC3:C8Direct product of C4 and C3:C896C4xC3:C896,9
C2xC3:C16Direct product of C2 and C3:C1696C2xC3:C1696,18
C22xC3:C8Direct product of C22 and C3:C896C2^2xC3:C896,127
C2xC4xDic3Direct product of C2xC4 and Dic396C2xC4xDic396,129

Groups of order 97

dρLabelID
C97Cyclic group971C9797,1

Groups of order 98

dρLabelID
C98Cyclic group981C9898,2
D49Dihedral group492+D4998,1
C7:D7The semidirect product of C7 and D7 acting via D7/C7=C249C7:D798,4
C7xC14Abelian group of type [7,14]98C7xC1498,5
C7xD7Direct product of C7 and D7; = AΣL1(F49)142C7xD798,3

Groups of order 99

dρLabelID
C99Cyclic group991C9999,1
C3xC33Abelian group of type [3,33]99C3xC3399,2

Groups of order 100

dρLabelID
C100Cyclic group1001C100100,2
D50Dihedral group; = C2xD25502+D50100,4
Dic25Dicyclic group; = C25:2C41002-Dic25100,1
C52:C44th semidirect product of C52 and C4 acting faithfully104+C5^2:C4100,12
C25:C4The semidirect product of C25 and C4 acting faithfully254+C25:C4100,3
C5:F51st semidirect product of C5 and F5 acting via F5/C5=C425C5:F5100,11
C52:6C42nd semidirect product of C52 and C4 acting via C4/C2=C2100C5^2:6C4100,7
D5.D5The non-split extension by D5 of D5 acting via D5/C5=C2204D5.D5100,10
C102Abelian group of type [10,10]100C10^2100,16
C2xC50Abelian group of type [2,50]100C2xC50100,5
C5xC20Abelian group of type [5,20]100C5xC20100,8
D52Direct product of D5 and D5104+D5^2100,13
C5xF5Direct product of C5 and F5204C5xF5100,9
D5xC10Direct product of C10 and D5202D5xC10100,14
C5xDic5Direct product of C5 and Dic5202C5xDic5100,6
C2xC5:D5Direct product of C2 and C5:D550C2xC5:D5100,15

Groups of order 101

dρLabelID
C101Cyclic group1011C101101,1

Groups of order 102

dρLabelID
C102Cyclic group1021C102102,4
D51Dihedral group512+D51102,3
S3xC17Direct product of C17 and S3512S3xC17102,1
C3xD17Direct product of C3 and D17512C3xD17102,2

Groups of order 103

dρLabelID
C103Cyclic group1031C103103,1

Groups of order 104

dρLabelID
C104Cyclic group1041C104104,2
C13:C8The semidirect product of C13 and C8 acting via C8/C2=C41044-C13:C8104,3
C13:2C8The semidirect product of C13 and C8 acting via C8/C4=C21042C13:2C8104,1
C2xC52Abelian group of type [2,52]104C2xC52104,9
C22xC26Abelian group of type [2,2,26]104C2^2xC26104,14
C4xD13Direct product of C4 and D13522C4xD13104,5
C22xD13Direct product of C22 and D1352C2^2xD13104,13
C2xDic13Direct product of C2 and Dic13104C2xDic13104,7
C2xC13:C4Direct product of C2 and C13:C4264+C2xC13:C4104,12

Groups of order 105

dρLabelID
C105Cyclic group1051C105105,2
C5xC7:C3Direct product of C5 and C7:C3353C5xC7:C3105,1

Groups of order 106

dρLabelID
C106Cyclic group1061C106106,2
D53Dihedral group532+D53106,1

Groups of order 107

dρLabelID
C107Cyclic group1071C107107,1

Groups of order 108

dρLabelID
C108Cyclic group1081C108108,2
D54Dihedral group; = C2xD27542+D54108,4
Dic27Dicyclic group; = C27:C41082-Dic27108,1
C33:C42nd semidirect product of C33 and C4 acting faithfully124C3^3:C4108,37
C32:4D6The semidirect product of C32 and D6 acting via D6/C3=C22124C3^2:4D6108,40
C9:Dic3The semidirect product of C9 and Dic3 acting via Dic3/C6=C2108C9:Dic3108,10
C33:5C43rd semidirect product of C33 and C4 acting via C4/C2=C2108C3^3:5C4108,34
C9.A4The central extension by C9 of A4543C9.A4108,3
C2xC54Abelian group of type [2,54]108C2xC54108,5
C3xC36Abelian group of type [3,36]108C3xC36108,12
C6xC18Abelian group of type [6,18]108C6xC18108,29
C3xC62Abelian group of type [3,6,6]108C3xC6^2108,45
C32xC12Abelian group of type [3,3,12]108C3^2xC12108,35
S3xD9Direct product of S3 and D9184+S3xD9108,16
C9xA4Direct product of C9 and A4363C9xA4108,18
C6xD9Direct product of C6 and D9362C6xD9108,23
S3xC18Direct product of C18 and S3362S3xC18108,24
C32xA4Direct product of C32 and A436C3^2xA4108,41
C3xDic9Direct product of C3 and Dic9362C3xDic9108,6
C9xDic3Direct product of C9 and Dic3362C9xDic3108,7
C32xDic3Direct product of C32 and Dic336C3^2xDic3108,32
C3xS32Direct product of C3, S3 and S3124C3xS3^2108,38
C3xC32:C4Direct product of C3 and C32:C4124C3xC3^2:C4108,36
S3xC3:S3Direct product of S3 and C3:S318S3xC3:S3108,39
S3xC3xC6Direct product of C3xC6 and S336S3xC3xC6108,42
C6xC3:S3Direct product of C6 and C3:S336C6xC3:S3108,43
C3xC3:Dic3Direct product of C3 and C3:Dic336C3xC3:Dic3108,33
C2xC9:S3Direct product of C2 and C9:S354C2xC9:S3108,27
C3xC3.A4Direct product of C3 and C3.A454C3xC3.A4108,20
C2xC33:C2Direct product of C2 and C33:C254C2xC3^3:C2108,44

Groups of order 109

dρLabelID
C109Cyclic group1091C109109,1

Groups of order 110

dρLabelID
C110Cyclic group1101C110110,6
D55Dihedral group552+D55110,5
F11Frobenius group; = C11:C10 = AGL1(F11) = Aut(D11) = Hol(C11)1110+F11110,1
D5xC11Direct product of C11 and D5552D5xC11110,3
C5xD11Direct product of C5 and D11552C5xD11110,4
C2xC11:C5Direct product of C2 and C11:C5225C2xC11:C5110,2

Groups of order 111

dρLabelID
C111Cyclic group1111C111111,2
C37:C3The semidirect product of C37 and C3 acting faithfully373C37:C3111,1

Groups of order 112

dρLabelID
C112Cyclic group1121C112112,2
C7:C16The semidirect product of C7 and C16 acting via C16/C8=C21122C7:C16112,1
C4xC28Abelian group of type [4,28]112C4xC28112,19
C2xC56Abelian group of type [2,56]112C2xC56112,22
C22xC28Abelian group of type [2,2,28]112C2^2xC28112,37
C23xC14Abelian group of type [2,2,2,14]112C2^3xC14112,43
C2xF8Direct product of C2 and F8147+C2xF8112,41
C8xD7Direct product of C8 and D7562C8xD7112,3
C23xD7Direct product of C23 and D756C2^3xD7112,42
C4xDic7Direct product of C4 and Dic7112C4xDic7112,10
C22xDic7Direct product of C22 and Dic7112C2^2xDic7112,35
C2xC4xD7Direct product of C2xC4 and D756C2xC4xD7112,28
C2xC7:C8Direct product of C2 and C7:C8112C2xC7:C8112,8

Groups of order 113

dρLabelID
C113Cyclic group1131C113113,1

Groups of order 114

dρLabelID
C114Cyclic group1141C114114,6
D57Dihedral group572+D57114,5
C19:C6The semidirect product of C19 and C6 acting faithfully196+C19:C6114,1
S3xC19Direct product of C19 and S3572S3xC19114,3
C3xD19Direct product of C3 and D19572C3xD19114,4
C2xC19:C3Direct product of C2 and C19:C3383C2xC19:C3114,2

Groups of order 115

dρLabelID
C115Cyclic group1151C115115,1

Groups of order 116

dρLabelID
C116Cyclic group1161C116116,2
D58Dihedral group; = C2xD29582+D58116,4
Dic29Dicyclic group; = C29:2C41162-Dic29116,1
C29:C4The semidirect product of C29 and C4 acting faithfully294+C29:C4116,3
C2xC58Abelian group of type [2,58]116C2xC58116,5

Groups of order 117

dρLabelID
C117Cyclic group1171C117117,2
C13:C9The semidirect product of C13 and C9 acting via C9/C3=C31173C13:C9117,1
C3xC39Abelian group of type [3,39]117C3xC39117,4
C3xC13:C3Direct product of C3 and C13:C3393C3xC13:C3117,3

Groups of order 118

dρLabelID
C118Cyclic group1181C118118,2
D59Dihedral group592+D59118,1

Groups of order 119

dρLabelID
C119Cyclic group1191C119119,1

Groups of order 120

dρLabelID
C120Cyclic group1201C120120,4
C15:3C81st semidirect product of C15 and C8 acting via C8/C4=C21202C15:3C8120,3
C15:C81st semidirect product of C15 and C8 acting via C8/C2=C41204C15:C8120,7
D30.C2The non-split extension by D30 of C2 acting faithfully604+D30.C2120,10
C2xC60Abelian group of type [2,60]120C2xC60120,31
C22xC30Abelian group of type [2,2,30]120C2^2xC30120,47
C2xA5Direct product of C2 and A5; = icosahedron/dodecahedron symmetries103+C2xA5120,35
S3xF5Direct product of S3 and F5; = Aut(D15) = Hol(C15)158+S3xF5120,36
D5xA4Direct product of D5 and A4206+D5xA4120,39
C6xF5Direct product of C6 and F5304C6xF5120,40
C10xA4Direct product of C10 and A4303C10xA4120,43
S3xC20Direct product of C20 and S3602S3xC20120,22
D5xC12Direct product of C12 and D5602D5xC12120,17
C4xD15Direct product of C4 and D15602C4xD15120,27
D5xDic3Direct product of D5 and Dic3604-D5xDic3120,8
S3xDic5Direct product of S3 and Dic5604-S3xDic5120,9
C22xD15Direct product of C22 and D1560C2^2xD15120,46
C6xDic5Direct product of C6 and Dic5120C6xDic5120,19
C10xDic3Direct product of C10 and Dic3120C10xDic3120,24
C2xDic15Direct product of C2 and Dic15120C2xDic15120,29
C2xS3xD5Direct product of C2, S3 and D5304+C2xS3xD5120,42
C2xC3:F5Direct product of C2 and C3:F5304C2xC3:F5120,41
D5xC2xC6Direct product of C2xC6 and D560D5xC2xC6120,44
S3xC2xC10Direct product of C2xC10 and S360S3xC2xC10120,45
C5xC3:C8Direct product of C5 and C3:C81202C5xC3:C8120,1
C3xC5:C8Direct product of C3 and C5:C81204C3xC5:C8120,6
C3xC5:2C8Direct product of C3 and C5:2C81202C3xC5:2C8120,2

Groups of order 121

dρLabelID
C121Cyclic group1211C121121,1
C112Elementary abelian group of type [11,11]121C11^2121,2

Groups of order 122

dρLabelID
C122Cyclic group1221C122122,2
D61Dihedral group612+D61122,1

Groups of order 123

dρLabelID
C123Cyclic group1231C123123,1

Groups of order 124

dρLabelID
C124Cyclic group1241C124124,2
D62Dihedral group; = C2xD31622+D62124,3
Dic31Dicyclic group; = C31:C41242-Dic31124,1
C2xC62Abelian group of type [2,62]124C2xC62124,4

Groups of order 125

dρLabelID
C125Cyclic group1251C125125,1
C53Elementary abelian group of type [5,5,5]125C5^3125,5
C5xC25Abelian group of type [5,25]125C5xC25125,2

Groups of order 126

dρLabelID
C126Cyclic group1261C126126,6
D63Dihedral group632+D63126,5
C3:F7The semidirect product of C3 and F7 acting via F7/C7:C3=C2216+C3:F7126,9
C7:C18The semidirect product of C7 and C18 acting via C18/C3=C6636C7:C18126,1
C3:D21The semidirect product of C3 and D21 acting via D21/C21=C263C3:D21126,15
C3xC42Abelian group of type [3,42]126C3xC42126,16
C3xF7Direct product of C3 and F7216C3xF7126,7
S3xC21Direct product of C21 and S3422S3xC21126,12
C3xD21Direct product of C3 and D21422C3xD21126,13
C7xD9Direct product of C7 and D9632C7xD9126,3
C9xD7Direct product of C9 and D7632C9xD7126,4
C32xD7Direct product of C32 and D763C3^2xD7126,11
S3xC7:C3Direct product of S3 and C7:C3216S3xC7:C3126,8
C6xC7:C3Direct product of C6 and C7:C3423C6xC7:C3126,10
C7xC3:S3Direct product of C7 and C3:S363C7xC3:S3126,14
C2xC7:C9Direct product of C2 and C7:C91263C2xC7:C9126,2

Groups of order 127

dρLabelID
C127Cyclic group1271C127127,1

Groups of order 128

dρLabelID
C128Cyclic group1281C128128,1
C27Elementary abelian group of type [2,2,2,2,2,2,2]128C2^7128,2328
C8xC16Abelian group of type [8,16]128C8xC16128,42
C4xC32Abelian group of type [4,32]128C4xC32128,128
C2xC64Abelian group of type [2,64]128C2xC64128,159
C2xC82Abelian group of type [2,8,8]128C2xC8^2128,179
C42xC8Abelian group of type [4,4,8]128C4^2xC8128,456
C2xC43Abelian group of type [2,4,4,4]128C2xC4^3128,997
C24xC8Abelian group of type [2,2,2,2,8]128C2^4xC8128,2301
C25xC4Abelian group of type [2,2,2,2,2,4]128C2^5xC4128,2319
C22xC32Abelian group of type [2,2,32]128C2^2xC32128,988
C23xC16Abelian group of type [2,2,2,16]128C2^3xC16128,2136
C23xC42Abelian group of type [2,2,2,4,4]128C2^3xC4^2128,2150
C2xC4xC16Abelian group of type [2,4,16]128C2xC4xC16128,837
C22xC4xC8Abelian group of type [2,2,4,8]128C2^2xC4xC8128,1601

Groups of order 129

dρLabelID
C129Cyclic group1291C129129,2
C43:C3The semidirect product of C43 and C3 acting faithfully433C43:C3129,1

Groups of order 130

dρLabelID
C130Cyclic group1301C130130,4
D65Dihedral group652+D65130,3
D5xC13Direct product of C13 and D5652D5xC13130,1
C5xD13Direct product of C5 and D13652C5xD13130,2

Groups of order 131

dρLabelID
C131Cyclic group1311C131131,1

Groups of order 132

dρLabelID
C132Cyclic group1321C132132,4
D66Dihedral group; = C2xD33662+D66132,9
Dic33Dicyclic group; = C33:1C41322-Dic33132,3
C2xC66Abelian group of type [2,66]132C2xC66132,10
S3xD11Direct product of S3 and D11334+S3xD11132,5
C11xA4Direct product of C11 and A4443C11xA4132,6
S3xC22Direct product of C22 and S3662S3xC22132,8
C6xD11Direct product of C6 and D11662C6xD11132,7
C11xDic3Direct product of C11 and Dic31322C11xDic3132,1
C3xDic11Direct product of C3 and Dic111322C3xDic11132,2

Groups of order 133

dρLabelID
C133Cyclic group1331C133133,1

Groups of order 134

dρLabelID
C134Cyclic group1341C134134,2
D67Dihedral group672+D67134,1

Groups of order 135

dρLabelID
C135Cyclic group1351C135135,1
C3xC45Abelian group of type [3,45]135C3xC45135,2
C32xC15Abelian group of type [3,3,15]135C3^2xC15135,5

Groups of order 136

dρLabelID
C136Cyclic group1361C136136,2
C17:C8The semidirect product of C17 and C8 acting faithfully178+C17:C8136,12
C17:3C8The semidirect product of C17 and C8 acting via C8/C4=C21362C17:3C8136,1
C17:2C8The semidirect product of C17 and C8 acting via C8/C2=C41364-C17:2C8136,3
C2xC68Abelian group of type [2,68]136C2xC68136,9
C22xC34Abelian group of type [2,2,34]136C2^2xC34136,15
C4xD17Direct product of C4 and D17682C4xD17136,5
C22xD17Direct product of C22 and D1768C2^2xD17136,14
C2xDic17Direct product of C2 and Dic17136C2xDic17136,7
C2xC17:C4Direct product of C2 and C17:C4344+C2xC17:C4136,13

Groups of order 137

dρLabelID
C137Cyclic group1371C137137,1

Groups of order 138

dρLabelID
C138Cyclic group1381C138138,4
D69Dihedral group692+D69138,3
S3xC23Direct product of C23 and S3692S3xC23138,1
C3xD23Direct product of C3 and D23692C3xD23138,2

Groups of order 139

dρLabelID
C139Cyclic group1391C139139,1

Groups of order 140

dρLabelID
C140Cyclic group1401C140140,4
D70Dihedral group; = C2xD35702+D70140,10
Dic35Dicyclic group; = C7:Dic51402-Dic35140,3
C7:F5The semidirect product of C7 and F5 acting via F5/D5=C2354C7:F5140,6
C2xC70Abelian group of type [2,70]140C2xC70140,11
D5xD7Direct product of D5 and D7354+D5xD7140,7
C7xF5Direct product of C7 and F5354C7xF5140,5
C10xD7Direct product of C10 and D7702C10xD7140,8
D5xC14Direct product of C14 and D5702D5xC14140,9
C7xDic5Direct product of C7 and Dic51402C7xDic5140,1
C5xDic7Direct product of C5 and Dic71402C5xDic7140,2

Groups of order 141

dρLabelID
C141Cyclic group1411C141141,1

Groups of order 142

dρLabelID
C142Cyclic group1421C142142,2
D71Dihedral group712+D71142,1

Groups of order 143

dρLabelID
C143Cyclic group1431C143143,1

Groups of order 144

dρLabelID
C144Cyclic group1441C144144,2
C42:C9The semidirect product of C42 and C9 acting via C9/C3=C3363C4^2:C9144,3
C24:C92nd semidirect product of C24 and C9 acting via C9/C3=C336C2^4:C9144,111
C32:2C16The semidirect product of C32 and C16 acting via C16/C4=C4484C3^2:2C16144,51
C9:C16The semidirect product of C9 and C16 acting via C16/C8=C21442C9:C16144,1
C3:S3:3C82nd semidirect product of C3:S3 and C8 acting via C8/C4=C2244C3:S3:3C8144,130
C12.29D63rd non-split extension by C12 of D6 acting via D6/S3=C2244C12.29D6144,53
C2.F9The central extension by C2 of F9488-C2.F9144,114
C24.S39th non-split extension by C24 of S3 acting via S3/C3=C2144C24.S3144,29
C122Abelian group of type [12,12]144C12^2144,101
C4xC36Abelian group of type [4,36]144C4xC36144,20
C2xC72Abelian group of type [2,72]144C2xC72144,23
C3xC48Abelian group of type [3,48]144C3xC48144,30
C6xC24Abelian group of type [6,24]144C6xC24144,104
C22xC36Abelian group of type [2,2,36]144C2^2xC36144,47
C23xC18Abelian group of type [2,2,2,18]144C2^3xC18144,113
C22xC62Abelian group of type [2,2,6,6]144C2^2xC6^2144,197
C2xC6xC12Abelian group of type [2,6,12]144C2xC6xC12144,178
A42Direct product of A4 and A4; = PΩ+4(F3)129+A4^2144,184
C2xF9Direct product of C2 and F9188+C2xF9144,185
C12xA4Direct product of C12 and A4363C12xA4144,155
Dic3xA4Direct product of Dic3 and A4366-Dic3xA4144,129
S3xC24Direct product of C24 and S3482S3xC24144,69
Dic32Direct product of Dic3 and Dic348Dic3^2144,63
Dic3xC12Direct product of C12 and Dic348Dic3xC12144,76
C8xD9Direct product of C8 and D9722C8xD9144,5
C23xD9Direct product of C23 and D972C2^3xD9144,112
C4xDic9Direct product of C4 and Dic9144C4xDic9144,11
C22xDic9Direct product of C22 and Dic9144C2^2xDic9144,45
C2xS3xA4Direct product of C2, S3 and A4186+C2xS3xA4144,190
C4xS32Direct product of C4, S3 and S3244C4xS3^2144,143
C22xS32Direct product of C22, S3 and S324C2^2xS3^2144,192
C4xC32:C4Direct product of C4 and C32:C4244C4xC3^2:C4144,132
C2xC6.D6Direct product of C2 and C6.D624C2xC6.D6144,149
C22xC32:C4Direct product of C22 and C32:C424C2^2xC3^2:C4144,191
A4xC2xC6Direct product of C2xC6 and A436A4xC2xC6144,193
C4xC3.A4Direct product of C4 and C3.A4363C4xC3.A4144,34
C3xC42:C3Direct product of C3 and C42:C3363C3xC4^2:C3144,68
C3xC22:A4Direct product of C3 and C22:A436C3xC2^2:A4144,194
C22xC3.A4Direct product of C22 and C3.A436C2^2xC3.A4144,110
C6xC3:C8Direct product of C6 and C3:C848C6xC3:C8144,74
S3xC3:C8Direct product of S3 and C3:C8484S3xC3:C8144,52
C3xC3:C16Direct product of C3 and C3:C16482C3xC3:C16144,28
S3xC2xC12Direct product of C2xC12 and S348S3xC2xC12144,159
S3xC22xC6Direct product of C22xC6 and S348S3xC2^2xC6144,195
C2xS3xDic3Direct product of C2, S3 and Dic348C2xS3xDic3144,146
Dic3xC2xC6Direct product of C2xC6 and Dic348Dic3xC2xC6144,166
C2xC32:2C8Direct product of C2 and C32:2C848C2xC3^2:2C8144,134
C2xC4xD9Direct product of C2xC4 and D972C2xC4xD9144,38
C8xC3:S3Direct product of C8 and C3:S372C8xC3:S3144,85
C23xC3:S3Direct product of C23 and C3:S372C2^3xC3:S3144,196
C2xC9:C8Direct product of C2 and C9:C8144C2xC9:C8144,9
C4xC3:Dic3Direct product of C4 and C3:Dic3144C4xC3:Dic3144,92
C2xC32:4C8Direct product of C2 and C32:4C8144C2xC3^2:4C8144,90
C22xC3:Dic3Direct product of C22 and C3:Dic3144C2^2xC3:Dic3144,176
C2xC4xC3:S3Direct product of C2xC4 and C3:S372C2xC4xC3:S3144,169

Groups of order 145

dρLabelID
C145Cyclic group1451C145145,1

Groups of order 146

dρLabelID
C146Cyclic group1461C146146,2
D73Dihedral group732+D73146,1

Groups of order 147

dρLabelID
C147Cyclic group1471C147147,2
C72:3C33rd semidirect product of C72 and C3 acting faithfully213C7^2:3C3147,5
C49:C3The semidirect product of C49 and C3 acting faithfully493C49:C3147,1
C72:C32nd semidirect product of C72 and C3 acting faithfully49C7^2:C3147,4
C7xC21Abelian group of type [7,21]147C7xC21147,6
C7xC7:C3Direct product of C7 and C7:C3213C7xC7:C3147,3

Groups of order 148

dρLabelID
C148Cyclic group1481C148148,2
D74Dihedral group; = C2xD37742+D74148,4
Dic37Dicyclic group; = C37:2C41482-Dic37148,1
C37:C4The semidirect product of C37 and C4 acting faithfully374+C37:C4148,3
C2xC74Abelian group of type [2,74]148C2xC74148,5

Groups of order 149

dρLabelID
C149Cyclic group1491C149149,1

Groups of order 150

dρLabelID
C150Cyclic group1501C150150,4
D75Dihedral group752+D75150,3
C52:S3The semidirect product of C52 and S3 acting faithfully153C5^2:S3150,5
C52:C6The semidirect product of C52 and C6 acting faithfully156+C5^2:C6150,6
C5:D15The semidirect product of C5 and D15 acting via D15/C15=C275C5:D15150,12
C5xC30Abelian group of type [5,30]150C5xC30150,13
D5xC15Direct product of C15 and D5302D5xC15150,8
C5xD15Direct product of C5 and D15302C5xD15150,11
S3xC25Direct product of C25 and S3752S3xC25150,1
C3xD25Direct product of C3 and D25752C3xD25150,2
S3xC52Direct product of C52 and S375S3xC5^2150,10
C2xC52:C3Direct product of C2 and C52:C3303C2xC5^2:C3150,7
C3xC5:D5Direct product of C3 and C5:D575C3xC5:D5150,9

Groups of order 151

dρLabelID
C151Cyclic group1511C151151,1

Groups of order 152

dρLabelID
C152Cyclic group1521C152152,2
C19:C8The semidirect product of C19 and C8 acting via C8/C4=C21522C19:C8152,1
C2xC76Abelian group of type [2,76]152C2xC76152,8
C22xC38Abelian group of type [2,2,38]152C2^2xC38152,12
C4xD19Direct product of C4 and D19762C4xD19152,4
C22xD19Direct product of C22 and D1976C2^2xD19152,11
C2xDic19Direct product of C2 and Dic19152C2xDic19152,6

Groups of order 153

dρLabelID
C153Cyclic group1531C153153,1
C3xC51Abelian group of type [3,51]153C3xC51153,2

Groups of order 154

dρLabelID
C154Cyclic group1541C154154,4
D77Dihedral group772+D77154,3
C11xD7Direct product of C11 and D7772C11xD7154,1
C7xD11Direct product of C7 and D11772C7xD11154,2

Groups of order 155

dρLabelID
C155Cyclic group1551C155155,2
C31:C5The semidirect product of C31 and C5 acting faithfully315C31:C5155,1

Groups of order 156

dρLabelID
C156Cyclic group1561C156156,6
D78Dihedral group; = C2xD39782+D78156,17
F13Frobenius group; = C13:C12 = AGL1(F13) = Aut(D13) = Hol(C13)1312+F13156,7
Dic39Dicyclic group; = C39:3C41562-Dic39156,5
C39:C41st semidirect product of C39 and C4 acting faithfully394C39:C4156,10
C13:A4The semidirect product of C13 and A4 acting via A4/C22=C3523C13:A4156,14
C26.C6The non-split extension by C26 of C6 acting faithfully526-C26.C6156,1
C2xC78Abelian group of type [2,78]156C2xC78156,18
S3xD13Direct product of S3 and D13394+S3xD13156,11
A4xC13Direct product of C13 and A4523A4xC13156,13
S3xC26Direct product of C26 and S3782S3xC26156,16
C6xD13Direct product of C6 and D13782C6xD13156,15
Dic3xC13Direct product of C13 and Dic31562Dic3xC13156,3
C3xDic13Direct product of C3 and Dic131562C3xDic13156,4
C2xC13:C6Direct product of C2 and C13:C6266+C2xC13:C6156,8
C3xC13:C4Direct product of C3 and C13:C4394C3xC13:C4156,9
C4xC13:C3Direct product of C4 and C13:C3523C4xC13:C3156,2
C22xC13:C3Direct product of C22 and C13:C352C2^2xC13:C3156,12

Groups of order 157

dρLabelID
C157Cyclic group1571C157157,1

Groups of order 158

dρLabelID
C158Cyclic group1581C158158,2
D79Dihedral group792+D79158,1

Groups of order 159

dρLabelID
C159Cyclic group1591C159159,1

Groups of order 160

dρLabelID
C160Cyclic group1601C160160,2
D5:C16The semidirect product of D5 and C16 acting via C16/C8=C2804D5:C16160,64
C5:C32The semidirect product of C5 and C32 acting via C32/C8=C41604C5:C32160,3
C5:2C32The semidirect product of C5 and C32 acting via C32/C16=C21602C5:2C32160,1
C4xC40Abelian group of type [4,40]160C4xC40160,46
C2xC80Abelian group of type [2,80]160C2xC80160,59
C22xC40Abelian group of type [2,2,40]160C2^2xC40160,190
C23xC20Abelian group of type [2,2,2,20]160C2^3xC20160,228
C24xC10Abelian group of type [2,2,2,2,10]160C2^4xC10160,238
C2xC4xC20Abelian group of type [2,4,20]160C2xC4xC20160,175
C8xF5Direct product of C8 and F5404C8xF5160,66
C23xF5Direct product of C23 and F540C2^3xF5160,236
D5xC16Direct product of C16 and D5802D5xC16160,4
D5xC42Direct product of C42 and D580D5xC4^2160,92
D5xC24Direct product of C24 and D580D5xC2^4160,237
C8xDic5Direct product of C8 and Dic5160C8xDic5160,20
C23xDic5Direct product of C23 and Dic5160C2^3xDic5160,226
C2xC24:C5Direct product of C2 and C24:C5; = AΣL1(F32)105+C2xC2^4:C5160,235
C2xC4xF5Direct product of C2xC4 and F540C2xC4xF5160,203
D5xC2xC8Direct product of C2xC8 and D580D5xC2xC8160,120
C2xD5:C8Direct product of C2 and D5:C880C2xD5:C8160,200
D5xC22xC4Direct product of C22xC4 and D580D5xC2^2xC4160,214
C4xC5:C8Direct product of C4 and C5:C8160C4xC5:C8160,75
C2xC5:C16Direct product of C2 and C5:C16160C2xC5:C16160,72
C4xC5:2C8Direct product of C4 and C5:2C8160C4xC5:2C8160,9
C22xC5:C8Direct product of C22 and C5:C8160C2^2xC5:C8160,210
C2xC4xDic5Direct product of C2xC4 and Dic5160C2xC4xDic5160,143
C2xC5:2C16Direct product of C2 and C5:2C16160C2xC5:2C16160,18
C22xC5:2C8Direct product of C22 and C5:2C8160C2^2xC5:2C8160,141

Groups of order 161

dρLabelID
C161Cyclic group1611C161161,1

Groups of order 162

dρLabelID
C162Cyclic group1621C162162,2
D81Dihedral group812+D81162,1
C9:D9The semidirect product of C9 and D9 acting via D9/C9=C281C9:D9162,16
C27:S3The semidirect product of C27 and S3 acting via S3/C3=C281C27:S3162,18
C34:C24th semidirect product of C34 and C2 acting faithfully81C3^4:C2162,54
C32:4D92nd semidirect product of C32 and D9 acting via D9/C9=C281C3^2:4D9162,45
C9xC18Abelian group of type [9,18]162C9xC18162,23
C3xC54Abelian group of type [3,54]162C3xC54162,26
C33xC6Abelian group of type [3,3,3,6]162C3^3xC6162,55
C32xC18Abelian group of type [3,3,18]162C3^2xC18162,47
C9xD9Direct product of C9 and D9182C9xD9162,3
S3xC27Direct product of C27 and S3542S3xC27162,8
C3xD27Direct product of C3 and D27542C3xD27162,7
S3xC33Direct product of C33 and S354S3xC3^3162,51
C32xD9Direct product of C32 and D954C3^2xD9162,32
C32xC3:S3Direct product of C32 and C3:S318C3^2xC3:S3162,52
S3xC3xC9Direct product of C3xC9 and S354S3xC3xC9162,33
C3xC9:S3Direct product of C3 and C9:S354C3xC9:S3162,38
C9xC3:S3Direct product of C9 and C3:S354C9xC3:S3162,39
C3xC33:C2Direct product of C3 and C33:C254C3xC3^3:C2162,53

Groups of order 163

dρLabelID
C163Cyclic group1631C163163,1

Groups of order 164

dρLabelID
C164Cyclic group1641C164164,2
D82Dihedral group; = C2xD41822+D82164,4
Dic41Dicyclic group; = C41:2C41642-Dic41164,1
C41:C4The semidirect product of C41 and C4 acting faithfully414+C41:C4164,3
C2xC82Abelian group of type [2,82]164C2xC82164,5

Groups of order 165

dρLabelID
C165Cyclic group1651C165165,2
C3xC11:C5Direct product of C3 and C11:C5335C3xC11:C5165,1

Groups of order 166

dρLabelID
C166Cyclic group1661C166166,2
D83Dihedral group832+D83166,1

Groups of order 167

dρLabelID
C167Cyclic group1671C167167,1

Groups of order 168

dρLabelID
C168Cyclic group1681C168168,6
AΓL1(F8)Affine semilinear group on F81; = F8:C3 = Aut(F8)87+AGammaL(1,8)168,43
D7:A4The semidirect product of D7 and A4 acting via A4/C22=C3286+D7:A4168,49
C7:C24The semidirect product of C7 and C24 acting via C24/C4=C6566C7:C24168,1
D21:C4The semidirect product of D21 and C4 acting via C4/C2=C2844+D21:C4168,14
C21:C81st semidirect product of C21 and C8 acting via C8/C4=C21682C21:C8168,5
C2xC84Abelian group of type [2,84]168C2xC84168,39
C22xC42Abelian group of type [2,2,42]168C2^2xC42168,57
C3xF8Direct product of C3 and F8247C3xF8168,44
A4xD7Direct product of A4 and D7286+A4xD7168,48
C4xF7Direct product of C4 and F7286C4xF7168,8
C22xF7Direct product of C22 and F728C2^2xF7168,47
A4xC14Direct product of C14 and A4423A4xC14168,52
S3xC28Direct product of C28 and S3842S3xC28168,30
C12xD7Direct product of C12 and D7842C12xD7168,25
C4xD21Direct product of C4 and D21842C4xD21168,35
Dic3xD7Direct product of Dic3 and D7844-Dic3xD7168,12
S3xDic7Direct product of S3 and Dic7844-S3xDic7168,13
C22xD21Direct product of C22 and D2184C2^2xD21168,56
C6xDic7Direct product of C6 and Dic7168C6xDic7168,27
Dic3xC14Direct product of C14 and Dic3168Dic3xC14168,32
C2xDic21Direct product of C2 and Dic21168C2xDic21168,37
C2xC7:A4Direct product of C2 and C7:A4423C2xC7:A4168,53
C2xS3xD7Direct product of C2, S3 and D7424+C2xS3xD7168,50
C8xC7:C3Direct product of C8 and C7:C3563C8xC7:C3168,2
C2xC7:C12Direct product of C2 and C7:C1256C2xC7:C12168,10
C23xC7:C3Direct product of C23 and C7:C356C2^3xC7:C3168,51
C2xC6xD7Direct product of C2xC6 and D784C2xC6xD7168,54
S3xC2xC14Direct product of C2xC14 and S384S3xC2xC14168,55
C7xC3:C8Direct product of C7 and C3:C81682C7xC3:C8168,3
C3xC7:C8Direct product of C3 and C7:C81682C3xC7:C8168,4
C2xC4xC7:C3Direct product of C2xC4 and C7:C356C2xC4xC7:C3168,19

Groups of order 169

dρLabelID
C169Cyclic group1691C169169,1
C132Elementary abelian group of type [13,13]169C13^2169,2

Groups of order 170

dρLabelID
C170Cyclic group1701C170170,4
D85Dihedral group852+D85170,3
D5xC17Direct product of C17 and D5852D5xC17170,1
C5xD17Direct product of C5 and D17852C5xD17170,2

Groups of order 171

dρLabelID
C171Cyclic group1711C171171,2
C19:C9The semidirect product of C19 and C9 acting faithfully199C19:C9171,3
C19:2C9The semidirect product of C19 and C9 acting via C9/C3=C31713C19:2C9171,1
C3xC57Abelian group of type [3,57]171C3xC57171,5
C3xC19:C3Direct product of C3 and C19:C3573C3xC19:C3171,4

Groups of order 172

dρLabelID
C172Cyclic group1721C172172,2
D86Dihedral group; = C2xD43862+D86172,3
Dic43Dicyclic group; = C43:C41722-Dic43172,1
C2xC86Abelian group of type [2,86]172C2xC86172,4

Groups of order 173

dρLabelID
C173Cyclic group1731C173173,1

Groups of order 174

dρLabelID
C174Cyclic group1741C174174,4
D87Dihedral group872+D87174,3
S3xC29Direct product of C29 and S3872S3xC29174,1
C3xD29Direct product of C3 and D29872C3xD29174,2

Groups of order 175

dρLabelID
C175Cyclic group1751C175175,1
C5xC35Abelian group of type [5,35]175C5xC35175,2

Groups of order 176

dρLabelID
C176Cyclic group1761C176176,2
C11:C16The semidirect product of C11 and C16 acting via C16/C8=C21762C11:C16176,1
C4xC44Abelian group of type [4,44]176C4xC44176,19
C2xC88Abelian group of type [2,88]176C2xC88176,22
C22xC44Abelian group of type [2,2,44]176C2^2xC44176,37
C23xC22Abelian group of type [2,2,2,22]176C2^3xC22176,42
C8xD11Direct product of C8 and D11882C8xD11176,3
C23xD11Direct product of C23 and D1188C2^3xD11176,41
C4xDic11Direct product of C4 and Dic11176C4xDic11176,10
C22xDic11Direct product of C22 and Dic11176C2^2xDic11176,35
C2xC4xD11Direct product of C2xC4 and D1188C2xC4xD11176,28
C2xC11:C8Direct product of C2 and C11:C8176C2xC11:C8176,8

Groups of order 177

dρLabelID
C177Cyclic group1771C177177,1

Groups of order 178

dρLabelID
C178Cyclic group1781C178178,2
D89Dihedral group892+D89178,1

Groups of order 179

dρLabelID
C179Cyclic group1791C179179,1

Groups of order 180

dρLabelID
C180Cyclic group1801C180180,4
D90Dihedral group; = C2xD45902+D90180,11
Dic45Dicyclic group; = C9:Dic51802-Dic45180,3
C32:F5The semidirect product of C32 and F5 acting via F5/C5=C4304+C3^2:F5180,25
D15:S3The semidirect product of D15 and S3 acting via S3/C3=C2304D15:S3180,30
C32:Dic5The semidirect product of C32 and Dic5 acting via Dic5/C5=C4304C3^2:Dic5180,24
C9:F5The semidirect product of C9 and F5 acting via F5/D5=C2454C9:F5180,6
C32:3F52nd semidirect product of C32 and F5 acting via F5/D5=C245C3^2:3F5180,22
C3:Dic15The semidirect product of C3 and Dic15 acting via Dic15/C30=C2180C3:Dic15180,17
C2xC90Abelian group of type [2,90]180C2xC90180,12
C3xC60Abelian group of type [3,60]180C3xC60180,18
C6xC30Abelian group of type [6,30]180C6xC30180,37
C3xA5Direct product of C3 and A5; = GL2(F4)153C3xA5180,19
S3xD15Direct product of S3 and D15304+S3xD15180,29
D5xD9Direct product of D5 and D9454+D5xD9180,7
C9xF5Direct product of C9 and F5454C9xF5180,5
C32xF5Direct product of C32 and F545C3^2xF5180,20
S3xC30Direct product of C30 and S3602S3xC30180,33
A4xC15Direct product of C15 and A4603A4xC15180,31
C6xD15Direct product of C6 and D15602C6xD15180,34
Dic3xC15Direct product of C15 and Dic3602Dic3xC15180,14
C3xDic15Direct product of C3 and Dic15602C3xDic15180,15
D5xC18Direct product of C18 and D5902D5xC18180,9
C10xD9Direct product of C10 and D9902C10xD9180,10
C5xDic9Direct product of C5 and Dic91802C5xDic9180,1
C9xDic5Direct product of C9 and Dic51802C9xDic5180,2
C32xDic5Direct product of C32 and Dic5180C3^2xDic5180,13
C5xS32Direct product of C5, S3 and S3304C5xS3^2180,28
C3xS3xD5Direct product of C3, S3 and D5304C3xS3xD5180,26
C3xC3:F5Direct product of C3 and C3:F5304C3xC3:F5180,21
C5xC32:C4Direct product of C5 and C32:C4304C5xC3^2:C4180,23
D5xC3:S3Direct product of D5 and C3:S345D5xC3:S3180,27
D5xC3xC6Direct product of C3xC6 and D590D5xC3xC6180,32
C10xC3:S3Direct product of C10 and C3:S390C10xC3:S3180,35
C2xC3:D15Direct product of C2 and C3:D1590C2xC3:D15180,36
C5xC3.A4Direct product of C5 and C3.A4903C5xC3.A4180,8
C5xC3:Dic3Direct product of C5 and C3:Dic3180C5xC3:Dic3180,16

Groups of order 181

dρLabelID
C181Cyclic group1811C181181,1

Groups of order 182

dρLabelID
C182Cyclic group1821C182182,4
D91Dihedral group912+D91182,3
C13xD7Direct product of C13 and D7912C13xD7182,1
C7xD13Direct product of C7 and D13912C7xD13182,2

Groups of order 183

dρLabelID
C183Cyclic group1831C183183,2
C61:C3The semidirect product of C61 and C3 acting faithfully613C61:C3183,1

Groups of order 184

dρLabelID
C184Cyclic group1841C184184,2
C23:C8The semidirect product of C23 and C8 acting via C8/C4=C21842C23:C8184,1
C2xC92Abelian group of type [2,92]184C2xC92184,8
C22xC46Abelian group of type [2,2,46]184C2^2xC46184,12
C4xD23Direct product of C4 and D23922C4xD23184,4
C22xD23Direct product of C22 and D2392C2^2xD23184,11
C2xDic23Direct product of C2 and Dic23184C2xDic23184,6

Groups of order 185

dρLabelID
C185Cyclic group1851C185185,1

Groups of order 186

dρLabelID
C186Cyclic group1861C186186,6
D93Dihedral group932+D93186,5
C31:C6The semidirect product of C31 and C6 acting faithfully316+C31:C6186,1
S3xC31Direct product of C31 and S3932S3xC31186,3
C3xD31Direct product of C3 and D31932C3xD31186,4
C2xC31:C3Direct product of C2 and C31:C3623C2xC31:C3186,2

Groups of order 187

dρLabelID
C187Cyclic group1871C187187,1

Groups of order 188

dρLabelID
C188Cyclic group1881C188188,2
D94Dihedral group; = C2xD47942+D94188,3
Dic47Dicyclic group; = C47:C41882-Dic47188,1
C2xC94Abelian group of type [2,94]188C2xC94188,4

Groups of order 189

dρLabelID
C189Cyclic group1891C189189,2
C7:C27The semidirect product of C7 and C27 acting via C27/C9=C31893C7:C27189,1
C3xC63Abelian group of type [3,63]189C3xC63189,9
C32xC21Abelian group of type [3,3,21]189C3^2xC21189,13
C9xC7:C3Direct product of C9 and C7:C3633C9xC7:C3189,3
C32xC7:C3Direct product of C32 and C7:C363C3^2xC7:C3189,12
C3xC7:C9Direct product of C3 and C7:C9189C3xC7:C9189,6

Groups of order 190

dρLabelID
C190Cyclic group1901C190190,4
D95Dihedral group952+D95190,3
D5xC19Direct product of C19 and D5952D5xC19190,1
C5xD19Direct product of C5 and D19952C5xD19190,2

Groups of order 191

dρLabelID
C191Cyclic group1911C191191,1

Groups of order 192

dρLabelID
C192Cyclic group1921C192192,2
C82:C3The semidirect product of C82 and C3 acting faithfully243C8^2:C3192,3
C26:C33rd semidirect product of C26 and C3 acting faithfully24C2^6:C3192,1541
C42:2A4The semidirect product of C42 and A4 acting via A4/C22=C324C4^2:2A4192,1020
C3:C64The semidirect product of C3 and C64 acting via C64/C32=C21922C3:C64192,1
C8xC24Abelian group of type [8,24]192C8xC24192,127
C4xC48Abelian group of type [4,48]192C4xC48192,151
C2xC96Abelian group of type [2,96]192C2xC96192,175
C25xC6Abelian group of type [2,2,2,2,2,6]192C2^5xC6192,1543
C42xC12Abelian group of type [4,4,12]192C4^2xC12192,807
C22xC48Abelian group of type [2,2,48]192C2^2xC48192,935
C23xC24Abelian group of type [2,2,2,24]192C2^3xC24192,1454
C24xC12Abelian group of type [2,2,2,2,12]192C2^4xC12192,1530
C2xC4xC24Abelian group of type [2,4,24]192C2xC4xC24192,835
C22xC4xC12Abelian group of type [2,2,4,12]192C2^2xC4xC12192,1400
A4xC16Direct product of C16 and A4483A4xC16192,203
A4xC42Direct product of C42 and A448A4xC4^2192,993
A4xC24Direct product of C24 and A448A4xC2^4192,1539
S3xC32Direct product of C32 and S3962S3xC32192,5
S3xC25Direct product of C25 and S396S3xC2^5192,1542
Dic3xC16Direct product of C16 and Dic3192Dic3xC16192,59
Dic3xC42Direct product of C42 and Dic3192Dic3xC4^2192,489
Dic3xC24Direct product of C24 and Dic3192Dic3xC2^4192,1528
C4xC42:C3Direct product of C4 and C42:C3123C4xC4^2:C3192,188
C22xC22:A4Direct product of C22 and C22:A412C2^2xC2^2:A4192,1540
C4xC22:A4Direct product of C4 and C22:A424C4xC2^2:A4192,1505
C22xC42:C3Direct product of C22 and C42:C324C2^2xC4^2:C3192,992
A4xC2xC8Direct product of C2xC8 and A448A4xC2xC8192,1010
A4xC22xC4Direct product of C22xC4 and A448A4xC2^2xC4192,1496
S3xC4xC8Direct product of C4xC8 and S396S3xC4xC8192,243
S3xC2xC16Direct product of C2xC16 and S396S3xC2xC16192,458
S3xC2xC42Direct product of C2xC42 and S396S3xC2xC4^2192,1030
S3xC22xC8Direct product of C22xC8 and S396S3xC2^2xC8192,1295
S3xC23xC4Direct product of C23xC4 and S396S3xC2^3xC4192,1511
C8xC3:C8Direct product of C8 and C3:C8192C8xC3:C8192,12
C4xC3:C16Direct product of C4 and C3:C16192C4xC3:C16192,19
C2xC3:C32Direct product of C2 and C3:C32192C2xC3:C32192,57
C23xC3:C8Direct product of C23 and C3:C8192C2^3xC3:C8192,1339
Dic3xC2xC8Direct product of C2xC8 and Dic3192Dic3xC2xC8192,657
C22xC3:C16Direct product of C22 and C3:C16192C2^2xC3:C16192,655
Dic3xC22xC4Direct product of C22xC4 and Dic3192Dic3xC2^2xC4192,1341
C2xC4xC3:C8Direct product of C2xC4 and C3:C8192C2xC4xC3:C8192,479

Groups of order 193

dρLabelID
C193Cyclic group1931C193193,1

Groups of order 194

dρLabelID
C194Cyclic group1941C194194,2
D97Dihedral group972+D97194,1

Groups of order 195

dρLabelID
C195Cyclic group1951C195195,2
C5xC13:C3Direct product of C5 and C13:C3653C5xC13:C3195,1

Groups of order 196

dρLabelID
C196Cyclic group1961C196196,2
D98Dihedral group; = C2xD49982+D98196,3
Dic49Dicyclic group; = C49:C41962-Dic49196,1
C72:C4The semidirect product of C72 and C4 acting faithfully144+C7^2:C4196,8
C7:Dic7The semidirect product of C7 and Dic7 acting via Dic7/C14=C2196C7:Dic7196,6
C142Abelian group of type [14,14]196C14^2196,12
C2xC98Abelian group of type [2,98]196C2xC98196,4
C7xC28Abelian group of type [7,28]196C7xC28196,7
D72Direct product of D7 and D7144+D7^2196,9
D7xC14Direct product of C14 and D7282D7xC14196,10
C7xDic7Direct product of C7 and Dic7282C7xDic7196,5
C2xC7:D7Direct product of C2 and C7:D798C2xC7:D7196,11

Groups of order 197

dρLabelID
C197Cyclic group1971C197197,1

Groups of order 198

dρLabelID
C198Cyclic group1981C198198,4
D99Dihedral group992+D99198,3
C3:D33The semidirect product of C3 and D33 acting via D33/C33=C299C3:D33198,9
C3xC66Abelian group of type [3,66]198C3xC66198,10
S3xC33Direct product of C33 and S3662S3xC33198,6
C3xD33Direct product of C3 and D33662C3xD33198,7
C11xD9Direct product of C11 and D9992C11xD9198,1
C9xD11Direct product of C9 and D11992C9xD11198,2
C32xD11Direct product of C32 and D1199C3^2xD11198,5
C11xC3:S3Direct product of C11 and C3:S399C11xC3:S3198,8

Groups of order 199

dρLabelID
C199Cyclic group1991C199199,1

Groups of order 200

dρLabelID
C200Cyclic group2001C200200,2
D5:F5The semidirect product of D5 and F5 acting via F5/D5=C2; = Hol(D5)108+D5:F5200,42
C52:C8The semidirect product of C52 and C8 acting faithfully108+C5^2:C8200,40
Dic5:2D5The semidirect product of Dic5 and D5 acting through Inn(Dic5)204+Dic5:2D5200,23
C52:3C82nd semidirect product of C52 and C8 acting via C8/C2=C4404C5^2:3C8200,19
C52:5C84th semidirect product of C52 and C8 acting via C8/C2=C4404-C5^2:5C8200,21
C25:C8The semidirect product of C25 and C8 acting via C8/C2=C42004-C25:C8200,3
C25:2C8The semidirect product of C25 and C8 acting via C8/C4=C22002C25:2C8200,1
C52:7C82nd semidirect product of C52 and C8 acting via C8/C4=C2200C5^2:7C8200,16
C52:4C83rd semidirect product of C52 and C8 acting via C8/C2=C4200C5^2:4C8200,20
C5xC40Abelian group of type [5,40]200C5xC40200,17
C2xC100Abelian group of type [2,100]200C2xC100200,9
C10xC20Abelian group of type [10,20]200C10xC20200,37
C22xC50Abelian group of type [2,2,50]200C2^2xC50200,14
C2xC102Abelian group of type [2,10,10]200C2xC10^2200,52
D5xF5Direct product of D5 and F5208+D5xF5200,41
D5xC20Direct product of C20 and D5402D5xC20200,28
C10xF5Direct product of C10 and F5404C10xF5200,45
D5xDic5Direct product of D5 and Dic5404-D5xDic5200,22
C10xDic5Direct product of C10 and Dic540C10xDic5200,30
C4xD25Direct product of C4 and D251002C4xD25200,5
C22xD25Direct product of C22 and D25100C2^2xD25200,13
C2xDic25Direct product of C2 and Dic25200C2xDic25200,7
C2xD52Direct product of C2, D5 and D5204+C2xD5^2200,49
C2xC52:C4Direct product of C2 and C52:C4204+C2xC5^2:C4200,48
C5xC5:C8Direct product of C5 and C5:C8404C5xC5:C8200,18
D5xC2xC10Direct product of C2xC10 and D540D5xC2xC10200,50
C5xC5:2C8Direct product of C5 and C5:2C8402C5xC5:2C8200,15
C2xD5.D5Direct product of C2 and D5.D5404C2xD5.D5200,46
C2xC25:C4Direct product of C2 and C25:C4504+C2xC25:C4200,12
C2xC5:F5Direct product of C2 and C5:F550C2xC5:F5200,47
C4xC5:D5Direct product of C4 and C5:D5100C4xC5:D5200,33
C22xC5:D5Direct product of C22 and C5:D5100C2^2xC5:D5200,51
C2xC52:6C4Direct product of C2 and C52:6C4200C2xC5^2:6C4200,35

Groups of order 201

dρLabelID
C201Cyclic group2011C201201,2
C67:C3The semidirect product of C67 and C3 acting faithfully673C67:C3201,1

Groups of order 202

dρLabelID
C202Cyclic group2021C202202,2
D101Dihedral group1012+D101202,1

Groups of order 203

dρLabelID
C203Cyclic group2031C203203,2
C29:C7The semidirect product of C29 and C7 acting faithfully297C29:C7203,1

Groups of order 204

dρLabelID
C204Cyclic group2041C204204,4
D102Dihedral group; = C2xD511022+D102204,11
Dic51Dicyclic group; = C51:3C42042-Dic51204,3
C51:C41st semidirect product of C51 and C4 acting faithfully514C51:C4204,6
C2xC102Abelian group of type [2,102]204C2xC102204,12
S3xD17Direct product of S3 and D17514+S3xD17204,7
A4xC17Direct product of C17 and A4683A4xC17204,8
S3xC34Direct product of C34 and S31022S3xC34204,10
C6xD17Direct product of C6 and D171022C6xD17204,9
Dic3xC17Direct product of C17 and Dic32042Dic3xC17204,1
C3xDic17Direct product of C3 and Dic172042C3xDic17204,2
C3xC17:C4Direct product of C3 and C17:C4514C3xC17:C4204,5

Groups of order 205

dρLabelID
C205Cyclic group2051C205205,2
C41:C5The semidirect product of C41 and C5 acting faithfully415C41:C5205,1

Groups of order 206

dρLabelID
C206Cyclic group2061C206206,2
D103Dihedral group1032+D103206,1

Groups of order 207

dρLabelID
C207Cyclic group2071C207207,1
C3xC69Abelian group of type [3,69]207C3xC69207,2

Groups of order 208

dρLabelID
C208Cyclic group2081C208208,2
D13:C8The semidirect product of D13 and C8 acting via C8/C4=C21044D13:C8208,28
C13:C16The semidirect product of C13 and C16 acting via C16/C4=C42084C13:C16208,3
C13:2C16The semidirect product of C13 and C16 acting via C16/C8=C22082C13:2C16208,1
C4xC52Abelian group of type [4,52]208C4xC52208,20
C2xC104Abelian group of type [2,104]208C2xC104208,23
C22xC52Abelian group of type [2,2,52]208C2^2xC52208,45
C23xC26Abelian group of type [2,2,2,26]208C2^3xC26208,51
C8xD13Direct product of C8 and D131042C8xD13208,4
C23xD13Direct product of C23 and D13104C2^3xD13208,50
C4xDic13Direct product of C4 and Dic13208C4xDic13208,11
C22xDic13Direct product of C22 and Dic13208C2^2xDic13208,43
C4xC13:C4Direct product of C4 and C13:C4524C4xC13:C4208,30
C22xC13:C4Direct product of C22 and C13:C452C2^2xC13:C4208,49
C2xC4xD13Direct product of C2xC4 and D13104C2xC4xD13208,36
C2xC13:C8Direct product of C2 and C13:C8208C2xC13:C8208,32
C2xC13:2C8Direct product of C2 and C13:2C8208C2xC13:2C8208,9

Groups of order 209

dρLabelID
C209Cyclic group2091C209209,1

Groups of order 210

dρLabelID
C210Cyclic group2101C210210,12
D105Dihedral group1052+D105210,11
C5:F7The semidirect product of C5 and F7 acting via F7/C7:C3=C2356+C5:F7210,3
C5xF7Direct product of C5 and F7356C5xF7210,1
S3xC35Direct product of C35 and S31052S3xC35210,8
D7xC15Direct product of C15 and D71052D7xC15210,5
D5xC21Direct product of C21 and D51052D5xC21210,6
C3xD35Direct product of C3 and D351052C3xD35210,7
C5xD21Direct product of C5 and D211052C5xD21210,9
C7xD15Direct product of C7 and D151052C7xD15210,10
D5xC7:C3Direct product of D5 and C7:C3356D5xC7:C3210,2
C10xC7:C3Direct product of C10 and C7:C3703C10xC7:C3210,4

Groups of order 211

dρLabelID
C211Cyclic group2111C211211,1

Groups of order 212

dρLabelID
C212Cyclic group2121C212212,2
D106Dihedral group; = C2xD531062+D106212,4
Dic53Dicyclic group; = C53:2C42122-Dic53212,1
C53:C4The semidirect product of C53 and C4 acting faithfully534+C53:C4212,3
C2xC106Abelian group of type [2,106]212C2xC106212,5

Groups of order 213

dρLabelID
C213Cyclic group2131C213213,1

Groups of order 214

dρLabelID
C214Cyclic group2141C214214,2
D107Dihedral group1072+D107214,1

Groups of order 215

dρLabelID
C215Cyclic group2151C215215,1

Groups of order 216

dρLabelID
C216Cyclic group2161C216216,2
C3:F9The semidirect product of C3 and F9 acting via F9/C32:C4=C2248C3:F9216,155
C33:4C82nd semidirect product of C33 and C8 acting via C8/C2=C4244C3^3:4C8216,118
C27:C8The semidirect product of C27 and C8 acting via C8/C4=C22162C27:C8216,1
C33:7C83rd semidirect product of C33 and C8 acting via C8/C4=C2216C3^3:7C8216,84
C33:9(C2xC4)6th semidirect product of C33 and C2xC4 acting via C2xC4/C2=C22244C3^3:9(C2xC4)216,131
C33:8(C2xC4)5th semidirect product of C33 and C2xC4 acting via C2xC4/C2=C2236C3^3:8(C2xC4)216,126
C18.D63rd non-split extension by C18 of D6 acting via D6/S3=C2364+C18.D6216,28
C36.S36th non-split extension by C36 of S3 acting via S3/C3=C2216C36.S3216,16
C63Abelian group of type [6,6,6]216C6^3216,177
C3xC72Abelian group of type [3,72]216C3xC72216,18
C6xC36Abelian group of type [6,36]216C6xC36216,73
C2xC108Abelian group of type [2,108]216C2xC108216,9
C22xC54Abelian group of type [2,2,54]216C2^2xC54216,24
C32xC24Abelian group of type [3,3,24]216C3^2xC24216,85
C2xC6xC18Abelian group of type [2,6,18]216C2xC6xC18216,114
C3xC6xC12Abelian group of type [3,6,12]216C3xC6xC12216,150
C3xF9Direct product of C3 and F9248C3xF9216,154
A4xD9Direct product of A4 and D9366+A4xD9216,97
A4xC18Direct product of C18 and A4543A4xC18216,103
S3xC36Direct product of C36 and S3722S3xC36216,47
C12xD9Direct product of C12 and D9722C12xD9216,45
S3xC62Direct product of C62 and S372S3xC6^2216,174
Dic3xD9Direct product of Dic3 and D9724-Dic3xD9216,27
S3xDic9Direct product of S3 and Dic9724-S3xDic9216,30
C6xDic9Direct product of C6 and Dic972C6xDic9216,55
Dic3xC18Direct product of C18 and Dic372Dic3xC18216,56
C4xD27Direct product of C4 and D271082C4xD27216,5
C22xD27Direct product of C22 and D27108C2^2xD27216,23
C2xDic27Direct product of C2 and Dic27216C2xDic27216,7
S33Direct product of S3, S3 and S3; = Hol(C3xS3)128+S3^3216,162
S3xC32:C4Direct product of S3 and C32:C4128+S3xC3^2:C4216,156
S32xC6Direct product of C6, S3 and S3244S3^2xC6216,170
C3xS3xA4Direct product of C3, S3 and A4246C3xS3xA4216,166
C6xC32:C4Direct product of C6 and C32:C4244C6xC3^2:C4216,168
C3xS3xDic3Direct product of C3, S3 and Dic3244C3xS3xDic3216,119
C2xC33:C4Direct product of C2 and C33:C4244C2xC3^3:C4216,169
C3xC6.D6Direct product of C3 and C6.D6244C3xC6.D6216,120
C3xC32:2C8Direct product of C3 and C32:2C8244C3xC3^2:2C8216,117
C2xC32:4D6Direct product of C2 and C32:4D6244C2xC3^2:4D6216,172
C2xS3xD9Direct product of C2, S3 and D9364+C2xS3xD9216,101
A4xC3:S3Direct product of A4 and C3:S336A4xC3:S3216,167
S3xC3.A4Direct product of S3 and C3.A4366S3xC3.A4216,98
A4xC3xC6Direct product of C3xC6 and A454A4xC3xC6216,173
C2xC9.A4Direct product of C2 and C9.A4543C2xC9.A4216,22
C6xC3.A4Direct product of C6 and C3.A454C6xC3.A4216,105
C3xC9:C8Direct product of C3 and C9:C8722C3xC9:C8216,12
C9xC3:C8Direct product of C9 and C3:C8722C9xC3:C8216,13
C2xC6xD9Direct product of C2xC6 and D972C2xC6xD9216,108
S3xC2xC18Direct product of C2xC18 and S372S3xC2xC18216,109
S3xC3xC12Direct product of C3xC12 and S372S3xC3xC12216,136
C12xC3:S3Direct product of C12 and C3:S372C12xC3:S3216,141
C32xC3:C8Direct product of C32 and C3:C872C3^2xC3:C8216,82
Dic3xC3xC6Direct product of C3xC6 and Dic372Dic3xC3xC6216,138
S3xC3:Dic3Direct product of S3 and C3:Dic372S3xC3:Dic3216,124
Dic3xC3:S3Direct product of Dic3 and C3:S372Dic3xC3:S3216,125
C6xC3:Dic3Direct product of C6 and C3:Dic372C6xC3:Dic3216,143
C3xC32:4C8Direct product of C3 and C32:4C872C3xC3^2:4C8216,83
C4xC9:S3Direct product of C4 and C9:S3108C4xC9:S3216,64
C22xC9:S3Direct product of C22 and C9:S3108C2^2xC9:S3216,112
C4xC33:C2Direct product of C4 and C33:C2108C4xC3^3:C2216,146
C22xC33:C2Direct product of C22 and C33:C2108C2^2xC3^3:C2216,176
C2xC9:Dic3Direct product of C2 and C9:Dic3216C2xC9:Dic3216,69
C2xC33:5C4Direct product of C2 and C33:5C4216C2xC3^3:5C4216,148
C2xS3xC3:S3Direct product of C2, S3 and C3:S336C2xS3xC3:S3216,171
C2xC6xC3:S3Direct product of C2xC6 and C3:S372C2xC6xC3:S3216,175

Groups of order 217

dρLabelID
C217Cyclic group2171C217217,1

Groups of order 218

dρLabelID
C218Cyclic group2181C218218,2
D109Dihedral group1092+D109218,1

Groups of order 219

dρLabelID
C219Cyclic group2191C219219,2
C73:C3The semidirect product of C73 and C3 acting faithfully733C73:C3219,1

Groups of order 220

dρLabelID
C220Cyclic group2201C220220,6
D110Dihedral group; = C2xD551102+D110220,14
Dic55Dicyclic group; = C55:3C42202-Dic55220,5
C11:C20The semidirect product of C11 and C20 acting via C20/C2=C104410-C11:C20220,1
C11:F5The semidirect product of C11 and F5 acting via F5/D5=C2554C11:F5220,10
C2xC110Abelian group of type [2,110]220C2xC110220,15
C2xF11Direct product of C2 and F11; = Aut(D22) = Hol(C22)2210+C2xF11220,7
D5xD11Direct product of D5 and D11554+D5xD11220,11
C11xF5Direct product of C11 and F5554C11xF5220,9
D5xC22Direct product of C22 and D51102D5xC22220,13
C10xD11Direct product of C10 and D111102C10xD11220,12
C11xDic5Direct product of C11 and Dic52202C11xDic5220,3
C5xDic11Direct product of C5 and Dic112202C5xDic11220,4
C4xC11:C5Direct product of C4 and C11:C5445C4xC11:C5220,2
C22xC11:C5Direct product of C22 and C11:C544C2^2xC11:C5220,8

Groups of order 221

dρLabelID
C221Cyclic group2211C221221,1

Groups of order 222

dρLabelID
C222Cyclic group2221C222222,6
D111Dihedral group1112+D111222,5
C37:C6The semidirect product of C37 and C6 acting faithfully376+C37:C6222,1
S3xC37Direct product of C37 and S31112S3xC37222,3
C3xD37Direct product of C3 and D371112C3xD37222,4
C2xC37:C3Direct product of C2 and C37:C3743C2xC37:C3222,2

Groups of order 223

dρLabelID
C223Cyclic group2231C223223,1

Groups of order 224

dρLabelID
C224Cyclic group2241C224224,2
C7:C32The semidirect product of C7 and C32 acting via C32/C16=C22242C7:C32224,1
C4xC56Abelian group of type [4,56]224C4xC56224,45
C2xC112Abelian group of type [2,112]224C2xC112224,58
C22xC56Abelian group of type [2,2,56]224C2^2xC56224,164
C23xC28Abelian group of type [2,2,2,28]224C2^3xC28224,189
C24xC14Abelian group of type [2,2,2,2,14]224C2^4xC14224,197
C2xC4xC28Abelian group of type [2,4,28]224C2xC4xC28224,149
C4xF8Direct product of C4 and F8287C4xF8224,173
C22xF8Direct product of C22 and F828C2^2xF8224,195
D7xC16Direct product of C16 and D71122D7xC16224,3
D7xC42Direct product of C42 and D7112D7xC4^2224,66
D7xC24Direct product of C24 and D7112D7xC2^4224,196
C8xDic7Direct product of C8 and Dic7224C8xDic7224,19
C23xDic7Direct product of C23 and Dic7224C2^3xDic7224,187
D7xC2xC8Direct product of C2xC8 and D7112D7xC2xC8224,94
D7xC22xC4Direct product of C22xC4 and D7112D7xC2^2xC4224,175
C4xC7:C8Direct product of C4 and C7:C8224C4xC7:C8224,8
C2xC7:C16Direct product of C2 and C7:C16224C2xC7:C16224,17
C22xC7:C8Direct product of C22 and C7:C8224C2^2xC7:C8224,115
C2xC4xDic7Direct product of C2xC4 and Dic7224C2xC4xDic7224,117

Groups of order 225

dρLabelID
C225Cyclic group2251C225225,1
C52:C9The semidirect product of C52 and C9 acting via C9/C3=C3453C5^2:C9225,3
C152Abelian group of type [15,15]225C15^2225,6
C3xC75Abelian group of type [3,75]225C3xC75225,2
C5xC45Abelian group of type [5,45]225C5xC45225,4
C3xC52:C3Direct product of C3 and C52:C3453C3xC5^2:C3225,5

Groups of order 226

dρLabelID
C226Cyclic group2261C226226,2
D113Dihedral group1132+D113226,1

Groups of order 227

dρLabelID
C227Cyclic group2271C227227,1

Groups of order 228

dρLabelID
C228Cyclic group2281C228228,6
D114Dihedral group; = C2xD571142+D114228,14
Dic57Dicyclic group; = C57:1C42282-Dic57228,5
C19:A4The semidirect product of C19 and A4 acting via A4/C22=C3763C19:A4228,11
C19:C12The semidirect product of C19 and C12 acting via C12/C2=C6766-C19:C12228,1
C2xC114Abelian group of type [2,114]228C2xC114228,15
S3xD19Direct product of S3 and D19574+S3xD19228,8
A4xC19Direct product of C19 and A4763A4xC19228,10
S3xC38Direct product of C38 and S31142S3xC38228,13
C6xD19Direct product of C6 and D191142C6xD19228,12
Dic3xC19Direct product of C19 and Dic32282Dic3xC19228,3
C3xDic19Direct product of C3 and Dic192282C3xDic19228,4
C2xC19:C6Direct product of C2 and C19:C6386+C2xC19:C6228,7
C4xC19:C3Direct product of C4 and C19:C3763C4xC19:C3228,2
C22xC19:C3Direct product of C22 and C19:C376C2^2xC19:C3228,9

Groups of order 229

dρLabelID
C229Cyclic group2291C229229,1

Groups of order 230

dρLabelID
C230Cyclic group2301C230230,4
D115Dihedral group1152+D115230,3
D5xC23Direct product of C23 and D51152D5xC23230,1
C5xD23Direct product of C5 and D231152C5xD23230,2

Groups of order 231

dρLabelID
C231Cyclic group2311C231231,2
C11xC7:C3Direct product of C11 and C7:C3773C11xC7:C3231,1

Groups of order 232

dρLabelID
C232Cyclic group2321C232232,2
C29:C8The semidirect product of C29 and C8 acting via C8/C2=C42324-C29:C8232,3
C29:2C8The semidirect product of C29 and C8 acting via C8/C4=C22322C29:2C8232,1
C2xC116Abelian group of type [2,116]232C2xC116232,9
C22xC58Abelian group of type [2,2,58]232C2^2xC58232,14
C4xD29Direct product of C4 and D291162C4xD29232,5
C22xD29Direct product of C22 and D29116C2^2xD29232,13
C2xDic29Direct product of C2 and Dic29232C2xDic29232,7
C2xC29:C4Direct product of C2 and C29:C4584+C2xC29:C4232,12

Groups of order 233

dρLabelID
C233Cyclic group2331C233233,1

Groups of order 234

dρLabelID
C234Cyclic group2341C234234,6
D117Dihedral group1172+D117234,5
D39:C3The semidirect product of D39 and C3 acting faithfully396+D39:C3234,9
C13:C18The semidirect product of C13 and C18 acting via C18/C3=C61176C13:C18234,1
C3:D39The semidirect product of C3 and D39 acting via D39/C39=C2117C3:D39234,15
C3xC78Abelian group of type [3,78]234C3xC78234,16
S3xC39Direct product of C39 and S3782S3xC39234,12
C3xD39Direct product of C3 and D39782C3xD39234,13
C13xD9Direct product of C13 and D91172C13xD9234,3
C9xD13Direct product of C9 and D131172C9xD13234,4
C32xD13Direct product of C32 and D13117C3^2xD13234,11
C3xC13:C6Direct product of C3 and C13:C6396C3xC13:C6234,7
S3xC13:C3Direct product of S3 and C13:C3396S3xC13:C3234,8
C6xC13:C3Direct product of C6 and C13:C3783C6xC13:C3234,10
C13xC3:S3Direct product of C13 and C3:S3117C13xC3:S3234,14
C2xC13:C9Direct product of C2 and C13:C92343C2xC13:C9234,2

Groups of order 235

dρLabelID
C235Cyclic group2351C235235,1

Groups of order 236

dρLabelID
C236Cyclic group2361C236236,2
D118Dihedral group; = C2xD591182+D118236,3
Dic59Dicyclic group; = C59:C42362-Dic59236,1
C2xC118Abelian group of type [2,118]236C2xC118236,4

Groups of order 237

dρLabelID
C237Cyclic group2371C237237,2
C79:C3The semidirect product of C79 and C3 acting faithfully793C79:C3237,1

Groups of order 238

dρLabelID
C238Cyclic group2381C238238,4
D119Dihedral group1192+D119238,3
D7xC17Direct product of C17 and D71192D7xC17238,1
C7xD17Direct product of C7 and D171192C7xD17238,2

Groups of order 239

dρLabelID
C239Cyclic group2391C239239,1

Groups of order 240

dρLabelID
C240Cyclic group2401C240240,4
F16Frobenius group; = C24:C15 = AGL1(F16)1615+F16240,191
D15:C8The semidirect product of D15 and C8 acting via C8/C2=C41208+D15:C8240,99
D15:2C8The semidirect product of D15 and C8 acting via C8/C4=C21204D15:2C8240,9
C15:3C161st semidirect product of C15 and C16 acting via C16/C8=C22402C15:3C16240,3
C15:C161st semidirect product of C15 and C16 acting via C16/C4=C42404C15:C16240,6
C60.C43rd non-split extension by C60 of C4 acting faithfully1204C60.C4240,118
C4xC60Abelian group of type [4,60]240C4xC60240,81
C2xC120Abelian group of type [2,120]240C2xC120240,84
C22xC60Abelian group of type [2,2,60]240C2^2xC60240,185
C23xC30Abelian group of type [2,2,2,30]240C2^3xC30240,208
C4xA5Direct product of C4 and A5203C4xA5240,92
A4xF5Direct product of A4 and F52012+A4xF5240,193
C22xA5Direct product of C22 and A520C2^2xA5240,190
A4xC20Direct product of C20 and A4603A4xC20240,152
C12xF5Direct product of C12 and F5604C12xF5240,113
Dic3xF5Direct product of Dic3 and F5608-Dic3xF5240,95
A4xDic5Direct product of A4 and Dic5606-A4xDic5240,110
S3xC40Direct product of C40 and S31202S3xC40240,49
D5xC24Direct product of C24 and D51202D5xC24240,33
C8xD15Direct product of C8 and D151202C8xD15240,65
C23xD15Direct product of C23 and D15120C2^3xD15240,207
C12xDic5Direct product of C12 and Dic5240C12xDic5240,40
Dic3xC20Direct product of C20 and Dic3240Dic3xC20240,56
C4xDic15Direct product of C4 and Dic15240C4xDic15240,72
Dic3xDic5Direct product of Dic3 and Dic5240Dic3xDic5240,25
C22xDic15Direct product of C22 and Dic15240C2^2xDic15240,183
C2xD5xA4Direct product of C2, D5 and A4306+C2xD5xA4240,198
C2xS3xF5Direct product of C2, S3 and F5; = Aut(D30) = Hol(C30)308+C2xS3xF5240,195
C3xC24:C5Direct product of C3 and C24:C5305C3xC2^4:C5240,199
C4xS3xD5Direct product of C4, S3 and D5604C4xS3xD5240,135
C4xC3:F5Direct product of C4 and C3:F5604C4xC3:F5240,120
C2xC6xF5Direct product of C2xC6 and F560C2xC6xF5240,200
A4xC2xC10Direct product of C2xC10 and A460A4xC2xC10240,203
C5xC42:C3Direct product of C5 and C42:C3603C5xC4^2:C3240,32
C22xS3xD5Direct product of C22, S3 and D560C2^2xS3xD5240,202
C22xC3:F5Direct product of C22 and C3:F560C2^2xC3:F5240,201
C5xC22:A4Direct product of C5 and C22:A460C5xC2^2:A4240,204
S3xC5:C8Direct product of S3 and C5:C81208-S3xC5:C8240,98
D5xC3:C8Direct product of D5 and C3:C81204D5xC3:C8240,7
S3xC2xC20Direct product of C2xC20 and S3120S3xC2xC20240,166
D5xC2xC12Direct product of C2xC12 and D5120D5xC2xC12240,156
C2xC4xD15Direct product of C2xC4 and D15120C2xC4xD15240,176
S3xC5:2C8Direct product of S3 and C5:2C81204S3xC5:2C8240,8
C3xD5:C8Direct product of C3 and D5:C81204C3xD5:C8240,111
C2xD5xDic3Direct product of C2, D5 and Dic3120C2xD5xDic3240,139
C2xS3xDic5Direct product of C2, S3 and Dic5120C2xS3xDic5240,142
D5xC22xC6Direct product of C22xC6 and D5120D5xC2^2xC6240,205
S3xC22xC10Direct product of C22xC10 and S3120S3xC2^2xC10240,206
C2xD30.C2Direct product of C2 and D30.C2120C2xD30.C2240,144
C6xC5:C8Direct product of C6 and C5:C8240C6xC5:C8240,115
C5xC3:C16Direct product of C5 and C3:C162402C5xC3:C16240,1
C3xC5:C16Direct product of C3 and C5:C162404C3xC5:C16240,5
C10xC3:C8Direct product of C10 and C3:C8240C10xC3:C8240,54
C6xC5:2C8Direct product of C6 and C5:2C8240C6xC5:2C8240,38
C2xC15:C8Direct product of C2 and C15:C8240C2xC15:C8240,122
C2xC6xDic5Direct product of C2xC6 and Dic5240C2xC6xDic5240,163
C3xC5:2C16Direct product of C3 and C5:2C162402C3xC5:2C16240,2
C2xC15:3C8Direct product of C2 and C15:3C8240C2xC15:3C8240,70
Dic3xC2xC10Direct product of C2xC10 and Dic3240Dic3xC2xC10240,173

Groups of order 241

dρLabelID
C241Cyclic group2411C241241,1

Groups of order 242

dρLabelID
C242Cyclic group2421C242242,2
D121Dihedral group1212+D121242,1
C11:D11The semidirect product of C11 and D11 acting via D11/C11=C2121C11:D11242,4
C11xC22Abelian group of type [11,22]242C11xC22242,5
C11xD11Direct product of C11 and D11; = AΣL1(F121)222C11xD11242,3

Groups of order 243

dρLabelID
C243Cyclic group2431C243243,1
C35Elementary abelian group of type [3,3,3,3,3]243C3^5243,67
C9xC27Abelian group of type [9,27]243C9xC27243,10
C3xC81Abelian group of type [3,81]243C3xC81243,23
C3xC92Abelian group of type [3,9,9]243C3xC9^2243,31
C33xC9Abelian group of type [3,3,3,9]243C3^3xC9243,61
C32xC27Abelian group of type [3,3,27]243C3^2xC27243,48

Groups of order 244

dρLabelID
C244Cyclic group2441C244244,2
D122Dihedral group; = C2xD611222+D122244,4
Dic61Dicyclic group; = C61:2C42442-Dic61244,1
C61:C4The semidirect product of C61 and C4 acting faithfully614+C61:C4244,3
C2xC122Abelian group of type [2,122]244C2xC122244,5

Groups of order 245

dρLabelID
C245Cyclic group2451C245245,1
C7xC35Abelian group of type [7,35]245C7xC35245,2

Groups of order 246

dρLabelID
C246Cyclic group2461C246246,4
D123Dihedral group1232+D123246,3
S3xC41Direct product of C41 and S31232S3xC41246,1
C3xD41Direct product of C3 and D411232C3xD41246,2

Groups of order 247

dρLabelID
C247Cyclic group2471C247247,1

Groups of order 248

dρLabelID
C248Cyclic group2481C248248,2
C31:C8The semidirect product of C31 and C8 acting via C8/C4=C22482C31:C8248,1
C2xC124Abelian group of type [2,124]248C2xC124248,8
C22xC62Abelian group of type [2,2,62]248C2^2xC62248,12
C4xD31Direct product of C4 and D311242C4xD31248,4
C22xD31Direct product of C22 and D31124C2^2xD31248,11
C2xDic31Direct product of C2 and Dic31248C2xDic31248,6

Groups of order 249

dρLabelID
C249Cyclic group2491C249249,1

Groups of order 250

dρLabelID
C250Cyclic group2501C250250,2
D125Dihedral group1252+D125250,1
C25:D5The semidirect product of C25 and D5 acting via D5/C5=C2125C25:D5250,7
C53:C23rd semidirect product of C53 and C2 acting faithfully125C5^3:C2250,14
C5xC50Abelian group of type [5,50]250C5xC50250,9
C52xC10Abelian group of type [5,5,10]250C5^2xC10250,15
C5xD25Direct product of C5 and D25502C5xD25250,3
D5xC25Direct product of C25 and D5502D5xC25250,4
D5xC52Direct product of C52 and D550D5xC5^2250,12
C5xC5:D5Direct product of C5 and C5:D550C5xC5:D5250,13

Groups of order 251

dρLabelID
C251Cyclic group2511C251251,1

Groups of order 252

dρLabelID
C252Cyclic group2521C252252,6
D126Dihedral group; = C2xD631262+D126252,14
Dic63Dicyclic group; = C9:Dic72522-Dic63252,5
D21:S3The semidirect product of D21 and S3 acting via S3/C3=C2424D21:S3252,37
C32:Dic7The semidirect product of C32 and Dic7 acting via Dic7/C7=C4424C3^2:Dic7252,32
C7:C36The semidirect product of C7 and C36 acting via C36/C6=C62526C7:C36252,1
C3:Dic21The semidirect product of C3 and Dic21 acting via Dic21/C42=C2252C3:Dic21252,24
C6.F7The non-split extension by C6 of F7 acting via F7/C7:C3=C2846-C6.F7252,18
C21.A4The non-split extension by C21 of A4 acting via A4/C22=C31263C21.A4252,11
C3xC84Abelian group of type [3,84]252C3xC84252,25
C6xC42Abelian group of type [6,42]252C6xC42252,46
C2xC126Abelian group of type [2,126]252C2xC126252,15
S3xF7Direct product of S3 and F7; = Aut(D21) = Hol(C21)2112+S3xF7252,26
C6xF7Direct product of C6 and F7426C6xF7252,28
S3xD21Direct product of S3 and D21424+S3xD21252,36
D7xD9Direct product of D7 and D9634+D7xD9252,8
S3xC42Direct product of C42 and S3842S3xC42252,42
A4xC21Direct product of C21 and A4843A4xC21252,39
C6xD21Direct product of C6 and D21842C6xD21252,43
Dic3xC21Direct product of C21 and Dic3842Dic3xC21252,21
C3xDic21Direct product of C3 and Dic21842C3xDic21252,22
D7xC18Direct product of C18 and D71262D7xC18252,12
C14xD9Direct product of C14 and D91262C14xD9252,13
C7xDic9Direct product of C7 and Dic92522C7xDic9252,3
C9xDic7Direct product of C9 and Dic72522C9xDic7252,4
C32xDic7Direct product of C32 and Dic7252C3^2xDic7252,20
A4xC7:C3Direct product of A4 and C7:C3289A4xC7:C3252,27
S32xC7Direct product of C7, S3 and S3424S3^2xC7252,35
C3xS3xD7Direct product of C3, S3 and D7424C3xS3xD7252,33
C2xC3:F7Direct product of C2 and C3:F7426+C2xC3:F7252,30
C7xC32:C4Direct product of C7 and C32:C4424C7xC3^2:C4252,31
D7xC3:S3Direct product of D7 and C3:S363D7xC3:S3252,34
C3xC7:A4Direct product of C3 and C7:A4843C3xC7:A4252,40
C3xC7:C12Direct product of C3 and C7:C12846C3xC7:C12252,16
C12xC7:C3Direct product of C12 and C7:C3843C12xC7:C3252,19
Dic3xC7:C3Direct product of Dic3 and C7:C3846Dic3xC7:C3252,17
D7xC3xC6Direct product of C3xC6 and D7126D7xC3xC6252,41
C2xC7:C18Direct product of C2 and C7:C181266C2xC7:C18252,7
C14xC3:S3Direct product of C14 and C3:S3126C14xC3:S3252,44
C2xC3:D21Direct product of C2 and C3:D21126C2xC3:D21252,45
C7xC3.A4Direct product of C7 and C3.A41263C7xC3.A4252,10
C4xC7:C9Direct product of C4 and C7:C92523C4xC7:C9252,2
C22xC7:C9Direct product of C22 and C7:C9252C2^2xC7:C9252,9
C7xC3:Dic3Direct product of C7 and C3:Dic3252C7xC3:Dic3252,23
C2xS3xC7:C3Direct product of C2, S3 and C7:C3426C2xS3xC7:C3252,29
C2xC6xC7:C3Direct product of C2xC6 and C7:C384C2xC6xC7:C3252,38

Groups of order 253

dρLabelID
C253Cyclic group2531C253253,2
C23:C11The semidirect product of C23 and C11 acting faithfully2311C23:C11253,1

Groups of order 254

dρLabelID
C254Cyclic group2541C254254,2
D127Dihedral group1272+D127254,1

Groups of order 255

dρLabelID
C255Cyclic group2551C255255,1

Groups of order 257

dρLabelID
C257Cyclic group2571C257257,1

Groups of order 258

dρLabelID
C258Cyclic group2581C258258,6
D129Dihedral group1292+D129258,5
C43:C6The semidirect product of C43 and C6 acting faithfully436+C43:C6258,1
S3xC43Direct product of C43 and S31292S3xC43258,3
C3xD43Direct product of C3 and D431292C3xD43258,4
C2xC43:C3Direct product of C2 and C43:C3863C2xC43:C3258,2

Groups of order 259

dρLabelID
C259Cyclic group2591C259259,1

Groups of order 260

dρLabelID
C260Cyclic group2601C260260,4
D130Dihedral group; = C2xD651302+D130260,14
Dic65Dicyclic group; = C65:7C42602-Dic65260,3
C65:C43rd semidirect product of C65 and C4 acting faithfully654C65:C4260,6
C65:2C42nd semidirect product of C65 and C4 acting faithfully654+C65:2C4260,10
C13:3F5The semidirect product of C13 and F5 acting via F5/D5=C2654C13:3F5260,8
C13:F51st semidirect product of C13 and F5 acting via F5/C5=C4654+C13:F5260,9
C2xC130Abelian group of type [2,130]260C2xC130260,15
D5xD13Direct product of D5 and D13654+D5xD13260,11
C13xF5Direct product of C13 and F5654C13xF5260,7
D5xC26Direct product of C26 and D51302D5xC26260,13
C10xD13Direct product of C10 and D131302C10xD13260,12
C13xDic5Direct product of C13 and Dic52602C13xDic5260,1
C5xDic13Direct product of C5 and Dic132602C5xDic13260,2
C5xC13:C4Direct product of C5 and C13:C4654C5xC13:C4260,5

Groups of order 261

dρLabelID
C261Cyclic group2611C261261,1
C3xC87Abelian group of type [3,87]261C3xC87261,2

Groups of order 262

dρLabelID
C262Cyclic group2621C262262,2
D131Dihedral group1312+D131262,1

Groups of order 263

dρLabelID
C263Cyclic group2631C263263,1

Groups of order 264

dρLabelID
C264Cyclic group2641C264264,4
D33:C4The semidirect product of D33 and C4 acting via C4/C2=C21324+D33:C4264,7
C33:C81st semidirect product of C33 and C8 acting via C8/C4=C22642C33:C8264,3
C2xC132Abelian group of type [2,132]264C2xC132264,28
C22xC66Abelian group of type [2,2,66]264C2^2xC66264,39
A4xD11Direct product of A4 and D11446+A4xD11264,33
A4xC22Direct product of C22 and A4663A4xC22264,35
S3xC44Direct product of C44 and S31322S3xC44264,19
C4xD33Direct product of C4 and D331322C4xD33264,24
C12xD11Direct product of C12 and D111322C12xD11264,14
Dic3xD11Direct product of Dic3 and D111324-Dic3xD11264,5
S3xDic11Direct product of S3 and Dic111324-S3xDic11264,6
C22xD33Direct product of C22 and D33132C2^2xD33264,38
C6xDic11Direct product of C6 and Dic11264C6xDic11264,16
Dic3xC22Direct product of C22 and Dic3264Dic3xC22264,21
C2xDic33Direct product of C2 and Dic33264C2xDic33264,26
C2xS3xD11Direct product of C2, S3 and D11664+C2xS3xD11264,34
S3xC2xC22Direct product of C2xC22 and S3132S3xC2xC22264,37
C2xC6xD11Direct product of C2xC6 and D11132C2xC6xD11264,36
C11xC3:C8Direct product of C11 and C3:C82642C11xC3:C8264,1
C3xC11:C8Direct product of C3 and C11:C82642C3xC11:C8264,2

Groups of order 265

dρLabelID
C265Cyclic group2651C265265,1

Groups of order 266

dρLabelID
C266Cyclic group2661C266266,4
D133Dihedral group1332+D133266,3
D7xC19Direct product of C19 and D71332D7xC19266,1
C7xD19Direct product of C7 and D191332C7xD19266,2

Groups of order 267

dρLabelID
C267Cyclic group2671C267267,1

Groups of order 268

dρLabelID
C268Cyclic group2681C268268,2
D134Dihedral group; = C2xD671342+D134268,3
Dic67Dicyclic group; = C67:C42682-Dic67268,1
C2xC134Abelian group of type [2,134]268C2xC134268,4

Groups of order 269

dρLabelID
C269Cyclic group2691C269269,1

Groups of order 270

dρLabelID
C270Cyclic group2701C270270,4
D135Dihedral group1352+D135270,3
C3:D45The semidirect product of C3 and D45 acting via D45/C45=C2135C3:D45270,18
C33:D53rd semidirect product of C33 and D5 acting via D5/C5=C2135C3^3:D5270,29
C3xC90Abelian group of type [3,90]270C3xC90270,20
C32xC30Abelian group of type [3,3,30]270C3^2xC30270,30
S3xC45Direct product of C45 and S3902S3xC45270,9
C15xD9Direct product of C15 and D9902C15xD9270,8
C3xD45Direct product of C3 and D45902C3xD45270,12
C9xD15Direct product of C9 and D15902C9xD15270,13
C32xD15Direct product of C32 and D1590C3^2xD15270,25
C5xD27Direct product of C5 and D271352C5xD27270,1
D5xC27Direct product of C27 and D51352D5xC27270,2
D5xC33Direct product of C33 and D5135D5xC3^3270,23
S3xC3xC15Direct product of C3xC15 and S390S3xC3xC15270,24
C15xC3:S3Direct product of C15 and C3:S390C15xC3:S3270,26
C3xC3:D15Direct product of C3 and C3:D1590C3xC3:D15270,27
D5xC3xC9Direct product of C3xC9 and D5135D5xC3xC9270,5
C5xC9:S3Direct product of C5 and C9:S3135C5xC9:S3270,16
C5xC33:C2Direct product of C5 and C33:C2135C5xC3^3:C2270,28

Groups of order 271

dρLabelID
C271Cyclic group2711C271271,1

Groups of order 272

dρLabelID
C272Cyclic group2721C272272,2
F17Frobenius group; = C17:C16 = AGL1(F17) = Aut(D17) = Hol(C17)1716+F17272,50
C17:4C16The semidirect product of C17 and C16 acting via C16/C8=C22722C17:4C16272,1
C17:3C16The semidirect product of C17 and C16 acting via C16/C4=C42724C17:3C16272,3
C68.C43rd non-split extension by C68 of C4 acting faithfully1364C68.C4272,29
C34.C8The non-split extension by C34 of C8 acting faithfully2728-C34.C8272,28
C4xC68Abelian group of type [4,68]272C4xC68272,20
C2xC136Abelian group of type [2,136]272C2xC136272,23
C22xC68Abelian group of type [2,2,68]272C2^2xC68272,46
C23xC34Abelian group of type [2,2,2,34]272C2^3xC34272,54
C8xD17Direct product of C8 and D171362C8xD17272,4
C23xD17Direct product of C23 and D17136C2^3xD17272,53
C4xDic17Direct product of C4 and Dic17272C4xDic17272,11
C22xDic17Direct product of C22 and Dic17272C2^2xDic17272,44
C2xC17:C8Direct product of C2 and C17:C8348+C2xC17:C8272,51
C4xC17:C4Direct product of C4 and C17:C4684C4xC17:C4272,31
C22xC17:C4Direct product of C22 and C17:C468C2^2xC17:C4272,52
C2xC4xD17Direct product of C2xC4 and D17136C2xC4xD17272,37
C2xC17:3C8Direct product of C2 and C17:3C8272C2xC17:3C8272,9
C2xC17:2C8Direct product of C2 and C17:2C8272C2xC17:2C8272,33

Groups of order 273

dρLabelID
C273Cyclic group2731C273273,5
C91:C33rd semidirect product of C91 and C3 acting faithfully913C91:C3273,3
C91:4C34th semidirect product of C91 and C3 acting faithfully913C91:4C3273,4
C13xC7:C3Direct product of C13 and C7:C3913C13xC7:C3273,1
C7xC13:C3Direct product of C7 and C13:C3913C7xC13:C3273,2

Groups of order 274

dρLabelID
C274Cyclic group2741C274274,2
D137Dihedral group1372+D137274,1

Groups of order 275

dρLabelID
C275Cyclic group2751C275275,2
C11:C25The semidirect product of C11 and C25 acting via C25/C5=C52755C11:C25275,1
C5xC55Abelian group of type [5,55]275C5xC55275,4
C5xC11:C5Direct product of C5 and C11:C5555C5xC11:C5275,3

Groups of order 276

dρLabelID
C276Cyclic group2761C276276,4
D138Dihedral group; = C2xD691382+D138276,9
Dic69Dicyclic group; = C69:1C42762-Dic69276,3
C2xC138Abelian group of type [2,138]276C2xC138276,10
S3xD23Direct product of S3 and D23694+S3xD23276,5
A4xC23Direct product of C23 and A4923A4xC23276,6
S3xC46Direct product of C46 and S31382S3xC46276,8
C6xD23Direct product of C6 and D231382C6xD23276,7
Dic3xC23Direct product of C23 and Dic32762Dic3xC23276,1
C3xDic23Direct product of C3 and Dic232762C3xDic23276,2

Groups of order 277

dρLabelID
C277Cyclic group2771C277277,1

Groups of order 278

dρLabelID
C278Cyclic group2781C278278,2
D139Dihedral group1392+D139278,1

Groups of order 279

dρLabelID
C279Cyclic group2791C279279,2
C31:C9The semidirect product of C31 and C9 acting via C9/C3=C32793C31:C9279,1
C3xC93Abelian group of type [3,93]279C3xC93279,4
C3xC31:C3Direct product of C3 and C31:C3933C3xC31:C3279,3

Groups of order 280

dρLabelID
C280Cyclic group2801C280280,4
C35:3C81st semidirect product of C35 and C8 acting via C8/C4=C22802C35:3C8280,3
C35:C81st semidirect product of C35 and C8 acting via C8/C2=C42804C35:C8280,6
D70.C2The non-split extension by D70 of C2 acting faithfully1404+D70.C2280,9
C2xC140Abelian group of type [2,140]280C2xC140280,29
C22xC70Abelian group of type [2,2,70]280C2^2xC70280,40
D7xF5Direct product of D7 and F5358+D7xF5280,32
C5xF8Direct product of C5 and F8407C5xF8280,33
C14xF5Direct product of C14 and F5704C14xF5280,34
D7xC20Direct product of C20 and D71402D7xC20280,15
D5xC28Direct product of C28 and D51402D5xC28280,20
C4xD35Direct product of C4 and D351402C4xD35280,25
D7xDic5Direct product of D7 and Dic51404-D7xDic5280,7
D5xDic7Direct product of D5 and Dic71404-D5xDic7280,8
C22xD35Direct product of C22 and D35140C2^2xD35280,39
C10xDic7Direct product of C10 and Dic7280C10xDic7280,17
C14xDic5Direct product of C14 and Dic5280C14xDic5280,22
C2xDic35Direct product of C2 and Dic35280C2xDic35280,27
C2xD5xD7Direct product of C2, D5 and D7704+C2xD5xD7280,36
C2xC7:F5Direct product of C2 and C7:F5704C2xC7:F5280,35
D7xC2xC10Direct product of C2xC10 and D7140D7xC2xC10280,37
D5xC2xC14Direct product of C2xC14 and D5140D5xC2xC14280,38
C5xC7:C8Direct product of C5 and C7:C82802C5xC7:C8280,2
C7xC5:C8Direct product of C7 and C5:C82804C7xC5:C8280,5
C7xC5:2C8Direct product of C7 and C5:2C82802C7xC5:2C8280,1

Groups of order 281

dρLabelID
C281Cyclic group2811C281281,1

Groups of order 282

dρLabelID
C282Cyclic group2821C282282,4
D141Dihedral group1412+D141282,3
S3xC47Direct product of C47 and S31412S3xC47282,1
C3xD47Direct product of C3 and D471412C3xD47282,2

Groups of order 283

dρLabelID
C283Cyclic group2831C283283,1

Groups of order 284

dρLabelID
C284Cyclic group2841C284284,2
D142Dihedral group; = C2xD711422+D142284,3
Dic71Dicyclic group; = C71:C42842-Dic71284,1
C2xC142Abelian group of type [2,142]284C2xC142284,4

Groups of order 285

dρLabelID
C285Cyclic group2851C285285,2
C5xC19:C3Direct product of C5 and C19:C3953C5xC19:C3285,1

Groups of order 286

dρLabelID
C286Cyclic group2861C286286,4
D143Dihedral group1432+D143286,3
C13xD11Direct product of C13 and D111432C13xD11286,1
C11xD13Direct product of C11 and D131432C11xD13286,2

Groups of order 287

dρLabelID
C287Cyclic group2871C287287,1

Groups of order 288

dρLabelID
C288Cyclic group2881C288288,2
C32:C32The semidirect product of C32 and C32 acting via C32/C4=C8968C3^2:C32288,373
C32:2C32The semidirect product of C32 and C32 acting via C32/C8=C4964C3^2:2C32288,188
C9:C32The semidirect product of C9 and C32 acting via C32/C16=C22882C9:C32288,1
C3:S3:3C162nd semidirect product of C3:S3 and C16 acting via C16/C8=C2484C3:S3:3C16288,412
C4.3F92nd central extension by C4 of F9488C4.3F9288,861
C24.60D613rd non-split extension by C24 of D6 acting via D6/S3=C2484C24.60D6288,190
C48.S39th non-split extension by C48 of S3 acting via S3/C3=C2288C48.S3288,65
C6.(S3xC8)3rd non-split extension by C6 of S3xC8 acting via S3xC8/C3:C8=C296C6.(S3xC8)288,201
C4xC72Abelian group of type [4,72]288C4xC72288,46
C3xC96Abelian group of type [3,96]288C3xC96288,66
C6xC48Abelian group of type [6,48]288C6xC48288,327
C2xC144Abelian group of type [2,144]288C2xC144288,59
C12xC24Abelian group of type [12,24]288C12xC24288,314
C22xC72Abelian group of type [2,2,72]288C2^2xC72288,179
C23xC36Abelian group of type [2,2,2,36]288C2^3xC36288,367
C2xC122Abelian group of type [2,12,12]288C2xC12^2288,811
C24xC18Abelian group of type [2,2,2,2,18]288C2^4xC18288,840
C23xC62Abelian group of type [2,2,2,6,6]288C2^3xC6^2288,1045
C2xC4xC36Abelian group of type [2,4,36]288C2xC4xC36288,164
C2xC6xC24Abelian group of type [2,6,24]288C2xC6xC24288,826
C22xC6xC12Abelian group of type [2,2,6,12]288C2^2xC6xC12288,1018
C4xF9Direct product of C4 and F9368C4xF9288,863
C22xF9Direct product of C22 and F936C2^2xF9288,1030
A4xC24Direct product of C24 and A4723A4xC24288,637
S3xC48Direct product of C48 and S3962S3xC48288,231
Dic3xC24Direct product of C24 and Dic396Dic3xC24288,247
C16xD9Direct product of C16 and D91442C16xD9288,4
C42xD9Direct product of C42 and D9144C4^2xD9288,81
C24xD9Direct product of C24 and D9144C2^4xD9288,839
C8xDic9Direct product of C8 and Dic9288C8xDic9288,21
C23xDic9Direct product of C23 and Dic9288C2^3xDic9288,365
C2xA42Direct product of C2, A4 and A4189+C2xA4^2288,1029
C4xS3xA4Direct product of C4, S3 and A4366C4xS3xA4288,919
C2xC42:C9Direct product of C2 and C42:C9363C2xC4^2:C9288,71
S3xC42:C3Direct product of S3 and C42:C3366S3xC4^2:C3288,407
C6xC42:C3Direct product of C6 and C42:C3363C6xC4^2:C3288,632
C22xS3xA4Direct product of C22, S3 and A436C2^2xS3xA4288,1037
S3xC22:A4Direct product of S3 and C22:A436S3xC2^2:A4288,1038
C6xC22:A4Direct product of C6 and C22:A436C6xC2^2:A4288,1042
C2xC24:C9Direct product of C2 and C24:C936C2xC2^4:C9288,838
S32xC8Direct product of C8, S3 and S3484S3^2xC8288,437
S32xC23Direct product of C23, S3 and S348S3^2xC2^3288,1040
C8xC32:C4Direct product of C8 and C32:C4484C8xC3^2:C4288,414
C4xC6.D6Direct product of C4 and C6.D648C4xC6.D6288,530
C23xC32:C4Direct product of C23 and C32:C448C2^3xC3^2:C4288,1039
C22xC6.D6Direct product of C22 and C6.D648C2^2xC6.D6288,972
C2xC12.29D6Direct product of C2 and C12.29D648C2xC12.29D6288,464
A4xC3:C8Direct product of A4 and C3:C8726A4xC3:C8288,408
A4xC2xC12Direct product of C2xC12 and A472A4xC2xC12288,979
C8xC3.A4Direct product of C8 and C3.A4723C8xC3.A4288,76
A4xC22xC6Direct product of C22xC6 and A472A4xC2^2xC6288,1041
C2xDic3xA4Direct product of C2, Dic3 and A472C2xDic3xA4288,927
C23xC3.A4Direct product of C23 and C3.A472C2^3xC3.A4288,837
C3xC3:C32Direct product of C3 and C3:C32962C3xC3:C32288,64
C12xC3:C8Direct product of C12 and C3:C896C12xC3:C8288,236
C6xC3:C16Direct product of C6 and C3:C1696C6xC3:C16288,245
S3xC3:C16Direct product of S3 and C3:C16964S3xC3:C16288,189
S3xC4xC12Direct product of C4xC12 and S396S3xC4xC12288,642
S3xC2xC24Direct product of C2xC24 and S396S3xC2xC24288,670
C2xDic32Direct product of C2, Dic3 and Dic396C2xDic3^2288,602
S3xC23xC6Direct product of C23xC6 and S396S3xC2^3xC6288,1043
Dic3xC3:C8Direct product of Dic3 and C3:C896Dic3xC3:C8288,200
C4xS3xDic3Direct product of C4, S3 and Dic396C4xS3xDic3288,523
C2xC2.F9Direct product of C2 and C2.F996C2xC2.F9288,865
S3xC22xC12Direct product of C22xC12 and S396S3xC2^2xC12288,989
Dic3xC2xC12Direct product of C2xC12 and Dic396Dic3xC2xC12288,693
C4xC32:2C8Direct product of C4 and C32:2C896C4xC3^2:2C8288,423
C22xS3xDic3Direct product of C22, S3 and Dic396C2^2xS3xDic3288,969
Dic3xC22xC6Direct product of C22xC6 and Dic396Dic3xC2^2xC6288,1001
C2xC32:2C16Direct product of C2 and C32:2C1696C2xC3^2:2C16288,420
C22xC32:2C8Direct product of C22 and C32:2C896C2^2xC3^2:2C8288,939
C2xC8xD9Direct product of C2xC8 and D9144C2xC8xD9288,110
C16xC3:S3Direct product of C16 and C3:S3144C16xC3:S3288,272
C22xC4xD9Direct product of C22xC4 and D9144C2^2xC4xD9288,353
C42xC3:S3Direct product of C42 and C3:S3144C4^2xC3:S3288,728
C24xC3:S3Direct product of C24 and C3:S3144C2^4xC3:S3288,1044
C4xC9:C8Direct product of C4 and C9:C8288C4xC9:C8288,9
C2xC9:C16Direct product of C2 and C9:C16288C2xC9:C16288,18
C22xC9:C8Direct product of C22 and C9:C8288C2^2xC9:C8288,130
C2xC4xDic9Direct product of C2xC4 and Dic9288C2xC4xDic9288,132
C8xC3:Dic3Direct product of C8 and C3:Dic3288C8xC3:Dic3288,288
C2xC24.S3Direct product of C2 and C24.S3288C2xC24.S3288,286
C4xC32:4C8Direct product of C4 and C32:4C8288C4xC3^2:4C8288,277
C23xC3:Dic3Direct product of C23 and C3:Dic3288C2^3xC3:Dic3288,1016
C22xC32:4C8Direct product of C22 and C32:4C8288C2^2xC3^2:4C8288,777
S32xC2xC4Direct product of C2xC4, S3 and S348S3^2xC2xC4288,950
C2xC4xC32:C4Direct product of C2xC4 and C32:C448C2xC4xC3^2:C4288,932
C2xC3:S3:3C8Direct product of C2 and C3:S3:3C848C2xC3:S3:3C8288,929
C2xC4xC3.A4Direct product of C2xC4 and C3.A472C2xC4xC3.A4288,343
C2xS3xC3:C8Direct product of C2, S3 and C3:C896C2xS3xC3:C8288,460
C2xC6xC3:C8Direct product of C2xC6 and C3:C896C2xC6xC3:C8288,691
C2xC8xC3:S3Direct product of C2xC8 and C3:S3144C2xC8xC3:S3288,756
C22xC4xC3:S3Direct product of C22xC4 and C3:S3144C2^2xC4xC3:S3288,1004
C2xC4xC3:Dic3Direct product of C2xC4 and C3:Dic3288C2xC4xC3:Dic3288,779

Groups of order 289

dρLabelID
C289Cyclic group2891C289289,1
C172Elementary abelian group of type [17,17]289C17^2289,2

Groups of order 290

dρLabelID
C290Cyclic group2901C290290,4
D145Dihedral group1452+D145290,3
D5xC29Direct product of C29 and D51452D5xC29290,1
C5xD29Direct product of C5 and D291452C5xD29290,2

Groups of order 291

dρLabelID
C291Cyclic group2911C291291,2
C97:C3The semidirect product of C97 and C3 acting faithfully973C97:C3291,1

Groups of order 292

dρLabelID
C292Cyclic group2921C292292,2
D146Dihedral group; = C2xD731462+D146292,4
Dic73Dicyclic group; = C73:2C42922-Dic73292,1
C73:C4The semidirect product of C73 and C4 acting faithfully734+C73:C4292,3
C2xC146Abelian group of type [2,146]292C2xC146292,5

Groups of order 293

dρLabelID
C293Cyclic group2931C293293,1

Groups of order 294

dρLabelID
C294Cyclic group2941C294294,6
D147Dihedral group1472+D147294,5
C72:S3The semidirect product of C72 and S3 acting faithfully143C7^2:S3294,7
C7:4F72nd semidirect product of C7 and F7 acting via F7/D7=C3146C7:4F7294,12
C7:5F7The semidirect product of C7 and F7 acting via F7/C7:C3=C2216+C7:5F7294,10
C72:C67th semidirect product of C72 and C6 acting faithfully216+C7^2:C6294,14
C7:3F71st semidirect product of C7 and F7 acting via F7/D7=C3426C7:3F7294,11
C49:C6The semidirect product of C49 and C6 acting faithfully496+C49:C6294,1
C7:F71st semidirect product of C7 and F7 acting via F7/C7=C649C7:F7294,13
C7:D21The semidirect product of C7 and D21 acting via D21/C21=C2147C7:D21294,22
C7xC42Abelian group of type [7,42]294C7xC42294,23
C7xF7Direct product of C7 and F7426C7xF7294,8
D7xC21Direct product of C21 and D7422D7xC21294,18
C7xD21Direct product of C7 and D21422C7xD21294,21
S3xC49Direct product of C49 and S31472S3xC49294,3
C3xD49Direct product of C3 and D491472C3xD49294,4
S3xC72Direct product of C72 and S3147S3xC7^2294,20
D7xC7:C3Direct product of D7 and C7:C3426D7xC7:C3294,9
C14xC7:C3Direct product of C14 and C7:C3423C14xC7:C3294,15
C2xC72:3C3Direct product of C2 and C72:3C3423C2xC7^2:3C3294,17
C2xC49:C3Direct product of C2 and C49:C3983C2xC49:C3294,2
C2xC72:C3Direct product of C2 and C72:C398C2xC7^2:C3294,16
C3xC7:D7Direct product of C3 and C7:D7147C3xC7:D7294,19

Groups of order 295

dρLabelID
C295Cyclic group2951C295295,1

Groups of order 296

dρLabelID
C296Cyclic group2961C296296,2
C37:C8The semidirect product of C37 and C8 acting via C8/C2=C42964-C37:C8296,3
C37:2C8The semidirect product of C37 and C8 acting via C8/C4=C22962C37:2C8296,1
C2xC148Abelian group of type [2,148]296C2xC148296,9
C22xC74Abelian group of type [2,2,74]296C2^2xC74296,14
C4xD37Direct product of C4 and D371482C4xD37296,5
C22xD37Direct product of C22 and D37148C2^2xD37296,13
C2xDic37Direct product of C2 and Dic37296C2xDic37296,7
C2xC37:C4Direct product of C2 and C37:C4744+C2xC37:C4296,12

Groups of order 297

dρLabelID
C297Cyclic group2971C297297,1
C3xC99Abelian group of type [3,99]297C3xC99297,2
C32xC33Abelian group of type [3,3,33]297C3^2xC33297,5

Groups of order 298

dρLabelID
C298Cyclic group2981C298298,2
D149Dihedral group1492+D149298,1

Groups of order 299

dρLabelID
C299Cyclic group2991C299299,1

Groups of order 300

dρLabelID
C300Cyclic group3001C300300,4
D150Dihedral group; = C2xD751502+D150300,11
Dic75Dicyclic group; = C75:3C43002-Dic75300,3
C52:D6The semidirect product of C52 and D6 acting faithfully156+C5^2:D6300,25
C52:C12The semidirect product of C52 and C12 acting faithfully1512+C5^2:C12300,24
C52:Dic3The semidirect product of C52 and Dic3 acting faithfully1512+C5^2:Dic3300,23
C52:A4The semidirect product of C52 and A4 acting via A4/C22=C3303C5^2:A4300,43
D15:D5The semidirect product of D15 and D5 acting via D5/C5=C2304D15:D5300,40
C15:2F52nd semidirect product of C15 and F5 acting via F5/C5=C4304C15:2F5300,35
C52:2C12The semidirect product of C52 and C12 acting via C12/C2=C6606-C5^2:2C12300,14
C52:2Dic3The semidirect product of C52 and Dic3 acting via Dic3/C2=S3603C5^2:2Dic3300,13
C75:C41st semidirect product of C75 and C4 acting faithfully754C75:C4300,6
C15:F51st semidirect product of C15 and F5 acting via F5/C5=C475C15:F5300,34
D5.D15The non-split extension by D5 of D15 acting via D15/C15=C2604D5.D15300,33
C30.D53rd non-split extension by C30 of D5 acting via D5/C5=C2300C30.D5300,20
C5xC60Abelian group of type [5,60]300C5xC60300,21
C2xC150Abelian group of type [2,150]300C2xC150300,12
C10xC30Abelian group of type [10,30]300C10xC30300,49
C5xA5Direct product of C5 and A5; = U2(F4)253C5xA5300,22
D5xD15Direct product of D5 and D15304+D5xD15300,39
D5xC30Direct product of C30 and D5602D5xC30300,44
C15xF5Direct product of C15 and F5604C15xF5300,28
C10xD15Direct product of C10 and D15602C10xD15300,47
C15xDic5Direct product of C15 and Dic5602C15xDic5300,16
C5xDic15Direct product of C5 and Dic15602C5xDic15300,19
S3xD25Direct product of S3 and D25754+S3xD25300,7
A4xC25Direct product of C25 and A41003A4xC25300,8
A4xC52Direct product of C52 and A4100A4xC5^2300,42
S3xC50Direct product of C50 and S31502S3xC50300,10
C6xD25Direct product of C6 and D251502C6xD25300,9
Dic3xC25Direct product of C25 and Dic33002Dic3xC25300,1
C3xDic25Direct product of C3 and Dic253002C3xDic25300,2
Dic3xC52Direct product of C52 and Dic3300Dic3xC5^2300,18
C3xD52Direct product of C3, D5 and D5304C3xD5^2300,36
C5xS3xD5Direct product of C5, S3 and D5304C5xS3xD5300,37
C2xC52:S3Direct product of C2 and C52:S3303C2xC5^2:S3300,26
C2xC52:C6Direct product of C2 and C52:C6306+C2xC5^2:C6300,27
C3xC52:C4Direct product of C3 and C52:C4304C3xC5^2:C4300,31
C5xC3:F5Direct product of C5 and C3:F5604C5xC3:F5300,32
C4xC52:C3Direct product of C4 and C52:C3603C4xC5^2:C3300,15
C3xD5.D5Direct product of C3 and D5.D5604C3xD5.D5300,29
C22xC52:C3Direct product of C22 and C52:C360C2^2xC5^2:C3300,41
C3xC25:C4Direct product of C3 and C25:C4754C3xC25:C4300,5
S3xC5:D5Direct product of S3 and C5:D575S3xC5:D5300,38
C3xC5:F5Direct product of C3 and C5:F575C3xC5:F5300,30
S3xC5xC10Direct product of C5xC10 and S3150S3xC5xC10300,46
C6xC5:D5Direct product of C6 and C5:D5150C6xC5:D5300,45
C2xC5:D15Direct product of C2 and C5:D15150C2xC5:D15300,48
C3xC52:6C4Direct product of C3 and C52:6C4300C3xC5^2:6C4300,17

Groups of order 301

dρLabelID
C301Cyclic group3011C301301,2
C43:C7The semidirect product of C43 and C7 acting faithfully437C43:C7301,1

Groups of order 302

dρLabelID
C302Cyclic group3021C302302,2
D151Dihedral group1512+D151302,1

Groups of order 303

dρLabelID
C303Cyclic group3031C303303,1

Groups of order 304

dρLabelID
C304Cyclic group3041C304304,2
C19:C16The semidirect product of C19 and C16 acting via C16/C8=C23042C19:C16304,1
C4xC76Abelian group of type [4,76]304C4xC76304,19
C2xC152Abelian group of type [2,152]304C2xC152304,22
C22xC76Abelian group of type [2,2,76]304C2^2xC76304,37
C23xC38Abelian group of type [2,2,2,38]304C2^3xC38304,42
C8xD19Direct product of C8 and D191522C8xD19304,3
C23xD19Direct product of C23 and D19152C2^3xD19304,41
C4xDic19Direct product of C4 and Dic19304C4xDic19304,10
C22xDic19Direct product of C22 and Dic19304C2^2xDic19304,35
C2xC4xD19Direct product of C2xC4 and D19152C2xC4xD19304,28
C2xC19:C8Direct product of C2 and C19:C8304C2xC19:C8304,8

Groups of order 305

dρLabelID
C305Cyclic group3051C305305,2
C61:C5The semidirect product of C61 and C5 acting faithfully615C61:C5305,1

Groups of order 306

dρLabelID
C306Cyclic group3061C306306,4
D153Dihedral group1532+D153306,3
C3:D51The semidirect product of C3 and D51 acting via D51/C51=C2153C3:D51306,9
C3xC102Abelian group of type [3,102]306C3xC102306,10
S3xC51Direct product of C51 and S31022S3xC51306,6
C3xD51Direct product of C3 and D511022C3xD51306,7
C17xD9Direct product of C17 and D91532C17xD9306,1
C9xD17Direct product of C9 and D171532C9xD17306,2
C32xD17Direct product of C32 and D17153C3^2xD17306,5
C17xC3:S3Direct product of C17 and C3:S3153C17xC3:S3306,8

Groups of order 307

dρLabelID
C307Cyclic group3071C307307,1

Groups of order 308

dρLabelID
C308Cyclic group3081C308308,4
D154Dihedral group; = C2xD771542+D154308,8
Dic77Dicyclic group; = C77:1C43082-Dic77308,3
C2xC154Abelian group of type [2,154]308C2xC154308,9
D7xD11Direct product of D7 and D11774+D7xD11308,5
D7xC22Direct product of C22 and D71542D7xC22308,7
C14xD11Direct product of C14 and D111542C14xD11308,6
C11xDic7Direct product of C11 and Dic73082C11xDic7308,1
C7xDic11Direct product of C7 and Dic113082C7xDic11308,2

Groups of order 309

dρLabelID
C309Cyclic group3091C309309,2
C103:C3The semidirect product of C103 and C3 acting faithfully1033C103:C3309,1

Groups of order 310

dρLabelID
C310Cyclic group3101C310310,6
D155Dihedral group1552+D155310,5
C31:C10The semidirect product of C31 and C10 acting faithfully3110+C31:C10310,1
D5xC31Direct product of C31 and D51552D5xC31310,3
C5xD31Direct product of C5 and D311552C5xD31310,4
C2xC31:C5Direct product of C2 and C31:C5625C2xC31:C5310,2

Groups of order 311

dρLabelID
C311Cyclic group3111C311311,1

Groups of order 312

dρLabelID
C312Cyclic group3121C312312,6
D13:A4The semidirect product of D13 and A4 acting via A4/C22=C3526+D13:A4312,51
C13:C24The semidirect product of C13 and C24 acting via C24/C2=C1210412-C13:C24312,7
C13:2C24The semidirect product of C13 and C24 acting via C24/C4=C61046C13:2C24312,1
C39:3C81st semidirect product of C39 and C8 acting via C8/C4=C23122C39:3C8312,5
C39:C81st semidirect product of C39 and C8 acting via C8/C2=C43124C39:C8312,14
D78.C2The non-split extension by D78 of C2 acting faithfully1564+D78.C2312,17
C2xC156Abelian group of type [2,156]312C2xC156312,42
C22xC78Abelian group of type [2,2,78]312C2^2xC78312,61
C2xF13Direct product of C2 and F13; = Aut(D26) = Hol(C26)2612+C2xF13312,45
A4xD13Direct product of A4 and D13526+A4xD13312,50
A4xC26Direct product of C26 and A4783A4xC26312,56
S3xC52Direct product of C52 and S31562S3xC52312,33
C4xD39Direct product of C4 and D391562C4xD39312,38
C12xD13Direct product of C12 and D131562C12xD13312,28
Dic3xD13Direct product of Dic3 and D131564-Dic3xD13312,15
S3xDic13Direct product of S3 and Dic131564-S3xDic13312,16
C22xD39Direct product of C22 and D39156C2^2xD39312,60
C6xDic13Direct product of C6 and Dic13312C6xDic13312,30
Dic3xC26Direct product of C26 and Dic3312Dic3xC26312,35
C2xDic39Direct product of C2 and Dic39312C2xDic39312,40
S3xC13:C4Direct product of S3 and C13:C4398+S3xC13:C4312,46
C4xC13:C6Direct product of C4 and C13:C6526C4xC13:C6312,9
C22xC13:C6Direct product of C22 and C13:C652C2^2xC13:C6312,49
C6xC13:C4Direct product of C6 and C13:C4784C6xC13:C4312,52
C2xC13:A4Direct product of C2 and C13:A4783C2xC13:A4312,57
C2xS3xD13Direct product of C2, S3 and D13784+C2xS3xD13312,54
C2xC39:C4Direct product of C2 and C39:C4784C2xC39:C4312,53
C8xC13:C3Direct product of C8 and C13:C31043C8xC13:C3312,2
C2xC26.C6Direct product of C2 and C26.C6104C2xC26.C6312,11
C23xC13:C3Direct product of C23 and C13:C3104C2^3xC13:C3312,55
S3xC2xC26Direct product of C2xC26 and S3156S3xC2xC26312,59
C2xC6xD13Direct product of C2xC6 and D13156C2xC6xD13312,58
C13xC3:C8Direct product of C13 and C3:C83122C13xC3:C8312,3
C3xC13:C8Direct product of C3 and C13:C83124C3xC13:C8312,13
C3xC13:2C8Direct product of C3 and C13:2C83122C3xC13:2C8312,4
C2xC4xC13:C3Direct product of C2xC4 and C13:C3104C2xC4xC13:C3312,22

Groups of order 313

dρLabelID
C313Cyclic group3131C313313,1

Groups of order 314

dρLabelID
C314Cyclic group3141C314314,2
D157Dihedral group1572+D157314,1

Groups of order 315

dρLabelID
C315Cyclic group3151C315315,2
C3xC105Abelian group of type [3,105]315C3xC105315,4
C15xC7:C3Direct product of C15 and C7:C31053C15xC7:C3315,3
C5xC7:C9Direct product of C5 and C7:C93153C5xC7:C9315,1

Groups of order 316

dρLabelID
C316Cyclic group3161C316316,2
D158Dihedral group; = C2xD791582+D158316,3
Dic79Dicyclic group; = C79:C43162-Dic79316,1
C2xC158Abelian group of type [2,158]316C2xC158316,4

Groups of order 317

dρLabelID
C317Cyclic group3171C317317,1

Groups of order 318

dρLabelID
C318Cyclic group3181C318318,4
D159Dihedral group1592+D159318,3
S3xC53Direct product of C53 and S31592S3xC53318,1
C3xD53Direct product of C3 and D531592C3xD53318,2

Groups of order 319

dρLabelID
C319Cyclic group3191C319319,1

Groups of order 320

dρLabelID
C320Cyclic group3201C320320,2
D5:C32The semidirect product of D5 and C32 acting via C32/C16=C21604D5:C32320,179
C5:C64The semidirect product of C5 and C64 acting via C64/C16=C43204C5:C64320,3
C5:2C64The semidirect product of C5 and C64 acting via C64/C32=C23202C5:2C64320,1
Dic5:C162nd semidirect product of Dic5 and C16 acting via C16/C8=C2320Dic5:C16320,223
C8xC40Abelian group of type [8,40]320C8xC40320,126
C4xC80Abelian group of type [4,80]320C4xC80320,150
C2xC160Abelian group of type [2,160]320C2xC160320,174
C42xC20Abelian group of type [4,4,20]320C4^2xC20320,875
C22xC80Abelian group of type [2,2,80]320C2^2xC80320,1003
C23xC40Abelian group of type [2,2,2,40]320C2^3xC40320,1567
C24xC20Abelian group of type [2,2,2,2,20]320C2^4xC20320,1628
C25xC10Abelian group of type [2,2,2,2,2,10]320C2^5xC10320,1640
C2xC4xC40Abelian group of type [2,4,40]320C2xC4xC40320,903
C22xC4xC20Abelian group of type [2,2,4,20]320C2^2xC4xC20320,1513
C16xF5Direct product of C16 and F5804C16xF5320,181
C42xF5Direct product of C42 and F580C4^2xF5320,1023
C24xF5Direct product of C24 and F580C2^4xF5320,1638
D5xC32Direct product of C32 and D51602D5xC32320,4
D5xC25Direct product of C25 and D5160D5xC2^5320,1639
C16xDic5Direct product of C16 and Dic5320C16xDic5320,58
C42xDic5Direct product of C42 and Dic5320C4^2xDic5320,557
C24xDic5Direct product of C24 and Dic5320C2^4xDic5320,1626
C4xC24:C5Direct product of C4 and C24:C5205C4xC2^4:C5320,1584
C22xC24:C5Direct product of C22 and C24:C520C2^2xC2^4:C5320,1637
C2xC8xF5Direct product of C2xC8 and F580C2xC8xF5320,1054
C22xC4xF5Direct product of C22xC4 and F580C2^2xC4xF5320,1590
D5xC4xC8Direct product of C4xC8 and D5160D5xC4xC8320,311
D5xC2xC16Direct product of C2xC16 and D5160D5xC2xC16320,526
C4xD5:C8Direct product of C4 and D5:C8160C4xD5:C8320,1013
D5xC2xC42Direct product of C2xC42 and D5160D5xC2xC4^2320,1143
D5xC22xC8Direct product of C22xC8 and D5160D5xC2^2xC8320,1408
D5xC23xC4Direct product of C23xC4 and D5160D5xC2^3xC4320,1609
C2xD5:C16Direct product of C2 and D5:C16160C2xD5:C16320,1051
C22xD5:C8Direct product of C22 and D5:C8160C2^2xD5:C8320,1587
C8xC5:C8Direct product of C8 and C5:C8320C8xC5:C8320,216
C4xC5:C16Direct product of C4 and C5:C16320C4xC5:C16320,195
C2xC5:C32Direct product of C2 and C5:C32320C2xC5:C32320,214
C8xC5:2C8Direct product of C8 and C5:2C8320C8xC5:2C8320,11
C23xC5:C8Direct product of C23 and C5:C8320C2^3xC5:C8320,1605
C2xC8xDic5Direct product of C2xC8 and Dic5320C2xC8xDic5320,725
C4xC5:2C16Direct product of C4 and C5:2C16320C4xC5:2C16320,18
C2xC5:2C32Direct product of C2 and C5:2C32320C2xC5:2C32320,56
C22xC5:C16Direct product of C22 and C5:C16320C2^2xC5:C16320,1080
C23xC5:2C8Direct product of C23 and C5:2C8320C2^3xC5:2C8320,1452
C22xC4xDic5Direct product of C22xC4 and Dic5320C2^2xC4xDic5320,1454
C22xC5:2C16Direct product of C22 and C5:2C16320C2^2xC5:2C16320,723
C2xC4xC5:C8Direct product of C2xC4 and C5:C8320C2xC4xC5:C8320,1084
C2xC4xC5:2C8Direct product of C2xC4 and C5:2C8320C2xC4xC5:2C8320,547

Groups of order 321

dρLabelID
C321Cyclic group3211C321321,1

Groups of order 322

dρLabelID
C322Cyclic group3221C322322,4
D161Dihedral group1612+D161322,3
D7xC23Direct product of C23 and D71612D7xC23322,1
C7xD23Direct product of C7 and D231612C7xD23322,2

Groups of order 323

dρLabelID
C323Cyclic group3231C323323,1

Groups of order 324

dρLabelID
C324Cyclic group3241C324324,2
D162Dihedral group; = C2xD811622+D162324,4
Dic81Dicyclic group; = C81:C43242-Dic81324,1
C92:C4The semidirect product of C92 and C4 acting faithfully184+C9^2:C4324,35
C34:4C44th semidirect product of C34 and C4 acting faithfully18C3^4:4C4324,164
C34:C43rd semidirect product of C34 and C4 acting faithfully36C3^4:C4324,163
C32:5D182nd semidirect product of C32 and D18 acting via D18/C9=C22364C3^2:5D18324,123
C33:17D65th semidirect product of C33 and D6 acting via D6/C3=C2236C3^3:17D6324,170
C32:3Dic9The semidirect product of C32 and Dic9 acting via Dic9/C9=C4364C3^2:3Dic9324,112
C9:Dic9The semidirect product of C9 and Dic9 acting via Dic9/C18=C2324C9:Dic9324,19
C27:Dic3The semidirect product of C27 and Dic3 acting via Dic3/C6=C2324C27:Dic3324,21
C34:8C44th semidirect product of C34 and C4 acting via C4/C2=C2324C3^4:8C4324,158
C32:5Dic92nd semidirect product of C32 and Dic9 acting via Dic9/C18=C2324C3^2:5Dic9324,103
C27.A4The central extension by C27 of A41623C27.A4324,3
C182Abelian group of type [18,18]324C18^2324,81
C9xC36Abelian group of type [9,36]324C9xC36324,26
C6xC54Abelian group of type [6,54]324C6xC54324,84
C2xC162Abelian group of type [2,162]324C2xC162324,5
C3xC108Abelian group of type [3,108]324C3xC108324,29
C32xC36Abelian group of type [3,3,36]324C3^2xC36324,105
C33xC12Abelian group of type [3,3,3,12]324C3^3xC12324,159
C32xC62Abelian group of type [3,3,6,6]324C3^2xC6^2324,176
C3xC6xC18Abelian group of type [3,6,18]324C3xC6xC18324,151
D92Direct product of D9 and D9184+D9^2324,36
D9xC18Direct product of C18 and D9362D9xC18324,61
C9xDic9Direct product of C9 and Dic9362C9xDic9324,6
S3xD27Direct product of S3 and D27544+S3xD27324,38
S3xC54Direct product of C54 and S31082S3xC54324,66
A4xC27Direct product of C27 and A41083A4xC27324,42
C6xD27Direct product of C6 and D271082C6xD27324,65
A4xC33Direct product of C33 and A4108A4xC3^3324,171
C3xDic27Direct product of C3 and Dic271082C3xDic27324,10
Dic3xC27Direct product of C27 and Dic31082Dic3xC27324,11
C32xDic9Direct product of C32 and Dic9108C3^2xDic9324,90
Dic3xC33Direct product of C33 and Dic3108Dic3xC3^3324,155
C3xC33:C4Direct product of C3 and C33:C4; = AΣL1(F81)124C3xC3^3:C4324,162
C3xC32:4D6Direct product of C3 and C32:4D6124C3xC3^2:4D6324,167
S32xC9Direct product of C9, S3 and S3364S3^2xC9324,115
C3xS3xD9Direct product of C3, S3 and D9364C3xS3xD9324,114
S32xC32Direct product of C32, S3 and S336S3^2xC3^2324,165
C9xC32:C4Direct product of C9 and C32:C4364C9xC3^2:C4324,109
C32xC32:C4Direct product of C32 and C32:C436C3^2xC3^2:C4324,161
C32xC3:Dic3Direct product of C32 and C3:Dic336C3^2xC3:Dic3324,156
S3xC9:S3Direct product of S3 and C9:S354S3xC9:S3324,120
D9xC3:S3Direct product of D9 and C3:S354D9xC3:S3324,119
S3xC33:C2Direct product of S3 and C33:C254S3xC3^3:C2324,168
A4xC3xC9Direct product of C3xC9 and A4108A4xC3xC9324,126
D9xC3xC6Direct product of C3xC6 and D9108D9xC3xC6324,136
C6xC9:S3Direct product of C6 and C9:S3108C6xC9:S3324,142
S3xC3xC18Direct product of C3xC18 and S3108S3xC3xC18324,137
C18xC3:S3Direct product of C18 and C3:S3108C18xC3:S3324,143
S3xC32xC6Direct product of C32xC6 and S3108S3xC3^2xC6324,172
Dic3xC3xC9Direct product of C3xC9 and Dic3108Dic3xC3xC9324,91
C3xC9:Dic3Direct product of C3 and C9:Dic3108C3xC9:Dic3324,96
C9xC3:Dic3Direct product of C9 and C3:Dic3108C9xC3:Dic3324,97
C6xC33:C2Direct product of C6 and C33:C2108C6xC3^3:C2324,174
C3xC33:5C4Direct product of C3 and C33:5C4108C3xC3^3:5C4324,157
C2xC9:D9Direct product of C2 and C9:D9162C2xC9:D9324,74
C2xC27:S3Direct product of C2 and C27:S3162C2xC27:S3324,76
C3xC9.A4Direct product of C3 and C9.A4162C3xC9.A4324,44
C9xC3.A4Direct product of C9 and C3.A4162C9xC3.A4324,46
C2xC34:C2Direct product of C2 and C34:C2162C2xC3^4:C2324,175
C32xC3.A4Direct product of C32 and C3.A4162C3^2xC3.A4324,133
C2xC32:4D9Direct product of C2 and C32:4D9162C2xC3^2:4D9324,149
C3:S32Direct product of C3:S3 and C3:S318C3:S3^2324,169
C3xS3xC3:S3Direct product of C3, S3 and C3:S336C3xS3xC3:S3324,166
C3:S3xC3xC6Direct product of C3xC6 and C3:S336C3:S3xC3xC6324,173

Groups of order 325

dρLabelID
C325Cyclic group3251C325325,1
C5xC65Abelian group of type [5,65]325C5xC65325,2

Groups of order 326

dρLabelID
C326Cyclic group3261C326326,2
D163Dihedral group1632+D163326,1

Groups of order 327

dρLabelID
C327Cyclic group3271C327327,2
C109:C3The semidirect product of C109 and C3 acting faithfully1093C109:C3327,1

Groups of order 328

dρLabelID
C328Cyclic group3281C328328,2
C41:C8The semidirect product of C41 and C8 acting faithfully418+C41:C8328,12
C41:3C8The semidirect product of C41 and C8 acting via C8/C4=C23282C41:3C8328,1
C41:2C8The semidirect product of C41 and C8 acting via C8/C2=C43284-C41:2C8328,3
C2xC164Abelian group of type [2,164]328C2xC164328,9
C22xC82Abelian group of type [2,2,82]328C2^2xC82328,15
C4xD41Direct product of C4 and D411642C4xD41328,5
C22xD41Direct product of C22 and D41164C2^2xD41328,14
C2xDic41Direct product of C2 and Dic41328C2xDic41328,7
C2xC41:C4Direct product of C2 and C41:C4824+C2xC41:C4328,13

Groups of order 329

dρLabelID
C329Cyclic group3291C329329,1

Groups of order 330

dρLabelID
C330Cyclic group3301C330330,12
D165Dihedral group1652+D165330,11
C3:F11The semidirect product of C3 and F11 acting via F11/C11:C5=C23310+C3:F11330,3
C3xF11Direct product of C3 and F113310C3xF11330,1
S3xC55Direct product of C55 and S31652S3xC55330,8
D5xC33Direct product of C33 and D51652D5xC33330,6
C3xD55Direct product of C3 and D551652C3xD55330,7
C5xD33Direct product of C5 and D331652C5xD33330,9
C15xD11Direct product of C15 and D111652C15xD11330,5
C11xD15Direct product of C11 and D151652C11xD15330,10
S3xC11:C5Direct product of S3 and C11:C53310S3xC11:C5330,2
C6xC11:C5Direct product of C6 and C11:C5665C6xC11:C5330,4

Groups of order 331

dρLabelID
C331Cyclic group3311C331331,1

Groups of order 332

dρLabelID
C332Cyclic group3321C332332,2
D166Dihedral group; = C2xD831662+D166332,3
Dic83Dicyclic group; = C83:C43322-Dic83332,1
C2xC166Abelian group of type [2,166]332C2xC166332,4

Groups of order 333

dρLabelID
C333Cyclic group3331C333333,2
C37:C9The semidirect product of C37 and C9 acting faithfully379C37:C9333,3
C37:2C9The semidirect product of C37 and C9 acting via C9/C3=C33333C37:2C9333,1
C3xC111Abelian group of type [3,111]333C3xC111333,5
C3xC37:C3Direct product of C3 and C37:C31113C3xC37:C3333,4

Groups of order 334

dρLabelID
C334Cyclic group3341C334334,2
D167Dihedral group1672+D167334,1

Groups of order 335

dρLabelID
C335Cyclic group3351C335335,1

Groups of order 336

dρLabelID
C336Cyclic group3361C336336,6
Dic7:A4The semidirect product of Dic7 and A4 acting via A4/C22=C3846-Dic7:A4336,136
C7:C48The semidirect product of C7 and C48 acting via C48/C8=C61126C7:C48336,1
D21:C8The semidirect product of D21 and C8 acting via C8/C4=C21684D21:C8336,25
C21:C161st semidirect product of C21 and C16 acting via C16/C8=C23362C21:C16336,5
C42:(C7:C3)The semidirect product of C42 and C7:C3 acting via C7:C3/C7=C3843C4^2:(C7:C3)336,57
C7:(C22:A4)The semidirect product of C7 and C22:A4 acting via C22:A4/C24=C384C7:(C2^2:A4)336,224
C4xC84Abelian group of type [4,84]336C4xC84336,106
C2xC168Abelian group of type [2,168]336C2xC168336,109
C22xC84Abelian group of type [2,2,84]336C2^2xC84336,204
C23xC42Abelian group of type [2,2,2,42]336C2^3xC42336,228
C2xAΓL1(F8)Direct product of C2 and AΓL1(F8)147+C2xAGammaL(1,8)336,210
S3xF8Direct product of S3 and F82414+S3xF8336,211
C6xF8Direct product of C6 and F8427C6xF8336,213
C8xF7Direct product of C8 and F7566C8xF7336,7
C23xF7Direct product of C23 and F756C2^3xF7336,216
A4xC28Direct product of C28 and A4843A4xC28336,168
A4xDic7Direct product of A4 and Dic7846-A4xDic7336,133
S3xC56Direct product of C56 and S31682S3xC56336,74
D7xC24Direct product of C24 and D71682D7xC24336,58
C8xD21Direct product of C8 and D211682C8xD21336,90
C23xD21Direct product of C23 and D21168C2^3xD21336,227
C12xDic7Direct product of C12 and Dic7336C12xDic7336,65
Dic3xC28Direct product of C28 and Dic3336Dic3xC28336,81
C4xDic21Direct product of C4 and Dic21336C4xDic21336,97
Dic3xDic7Direct product of Dic3 and Dic7336Dic3xDic7336,41
C22xDic21Direct product of C22 and Dic21336C2^2xDic21336,202
C2xA4xD7Direct product of C2, A4 and D7426+C2xA4xD7336,217
C2xD7:A4Direct product of C2 and D7:A4426+C2xD7:A4336,218
C2xC4xF7Direct product of C2xC4 and F756C2xC4xF7336,122
C4xC7:A4Direct product of C4 and C7:A4843C4xC7:A4336,171
C4xS3xD7Direct product of C4, S3 and D7844C4xS3xD7336,147
A4xC2xC14Direct product of C2xC14 and A484A4xC2xC14336,221
C7xC42:C3Direct product of C7 and C42:C3843C7xC4^2:C3336,56
C22xC7:A4Direct product of C22 and C7:A484C2^2xC7:A4336,222
C22xS3xD7Direct product of C22, S3 and D784C2^2xS3xD7336,219
C7xC22:A4Direct product of C7 and C22:A484C7xC2^2:A4336,223
C16xC7:C3Direct product of C16 and C7:C31123C16xC7:C3336,2
C2xC7:C24Direct product of C2 and C7:C24112C2xC7:C24336,12
C4xC7:C12Direct product of C4 and C7:C12112C4xC7:C12336,14
C42xC7:C3Direct product of C42 and C7:C3112C4^2xC7:C3336,48
C24xC7:C3Direct product of C24 and C7:C3112C2^4xC7:C3336,220
C22xC7:C12Direct product of C22 and C7:C12112C2^2xC7:C12336,129
S3xC7:C8Direct product of S3 and C7:C81684S3xC7:C8336,24
D7xC3:C8Direct product of D7 and C3:C81684D7xC3:C8336,23
S3xC2xC28Direct product of C2xC28 and S3168S3xC2xC28336,185
D7xC2xC12Direct product of C2xC12 and D7168D7xC2xC12336,175
C2xC4xD21Direct product of C2xC4 and D21168C2xC4xD21336,195
C2xDic3xD7Direct product of C2, Dic3 and D7168C2xDic3xD7336,151
C2xS3xDic7Direct product of C2, S3 and Dic7168C2xS3xDic7336,154
D7xC22xC6Direct product of C22xC6 and D7168D7xC2^2xC6336,225
C2xD21:C4Direct product of C2 and D21:C4168C2xD21:C4336,156
S3xC22xC14Direct product of C22xC14 and S3168S3xC2^2xC14336,226
C6xC7:C8Direct product of C6 and C7:C8336C6xC7:C8336,63
C7xC3:C16Direct product of C7 and C3:C163362C7xC3:C16336,3
C3xC7:C16Direct product of C3 and C7:C163362C3xC7:C16336,4
C14xC3:C8Direct product of C14 and C3:C8336C14xC3:C8336,79
C2xC21:C8Direct product of C2 and C21:C8336C2xC21:C8336,95
C2xC6xDic7Direct product of C2xC6 and Dic7336C2xC6xDic7336,182
Dic3xC2xC14Direct product of C2xC14 and Dic3336Dic3xC2xC14336,192
C2xC8xC7:C3Direct product of C2xC8 and C7:C3112C2xC8xC7:C3336,51
C22xC4xC7:C3Direct product of C22xC4 and C7:C3112C2^2xC4xC7:C3336,164

Groups of order 337

dρLabelID
C337Cyclic group3371C337337,1

Groups of order 338

dρLabelID
C338Cyclic group3381C338338,2
D169Dihedral group1692+D169338,1
C13:D13The semidirect product of C13 and D13 acting via D13/C13=C2169C13:D13338,4
C13xC26Abelian group of type [13,26]338C13xC26338,5
C13xD13Direct product of C13 and D13; = AΣL1(F169)262C13xD13338,3

Groups of order 339

dρLabelID
C339Cyclic group3391C339339,1

Groups of order 340

dρLabelID
C340Cyclic group3401C340340,4
D170Dihedral group; = C2xD851702+D170340,14
Dic85Dicyclic group; = C85:7C43402-Dic85340,3
C85:C43rd semidirect product of C85 and C4 acting faithfully854C85:C4340,6
C85:2C42nd semidirect product of C85 and C4 acting faithfully854+C85:2C4340,10
C17:3F5The semidirect product of C17 and F5 acting via F5/D5=C2854C17:3F5340,8
C17:F51st semidirect product of C17 and F5 acting via F5/C5=C4854+C17:F5340,9
C2xC170Abelian group of type [2,170]340C2xC170340,15
D5xD17Direct product of D5 and D17854+D5xD17340,11
C17xF5Direct product of C17 and F5854C17xF5340,7
D5xC34Direct product of C34 and D51702D5xC34340,13
C10xD17Direct product of C10 and D171702C10xD17340,12
C17xDic5Direct product of C17 and Dic53402C17xDic5340,1
C5xDic17Direct product of C5 and Dic173402C5xDic17340,2
C5xC17:C4Direct product of C5 and C17:C4854C5xC17:C4340,5

Groups of order 341

dρLabelID
C341Cyclic group3411C341341,1

Groups of order 342

dρLabelID
C342Cyclic group3421C342342,6
D171Dihedral group1712+D171342,5
F19Frobenius group; = C19:C18 = AGL1(F19) = Aut(D19) = Hol(C19)1918+F19342,7
D57:C3The semidirect product of D57 and C3 acting faithfully576+D57:C3342,11
C3:D57The semidirect product of C3 and D57 acting via D57/C57=C2171C3:D57342,17
C57.C6The non-split extension by C57 of C6 acting faithfully1716C57.C6342,1
C3xC114Abelian group of type [3,114]342C3xC114342,18
S3xC57Direct product of C57 and S31142S3xC57342,14
C3xD57Direct product of C3 and D571142C3xD57342,15
D9xC19Direct product of C19 and D91712D9xC19342,3
C9xD19Direct product of C9 and D191712C9xD19342,4
C32xD19Direct product of C32 and D19171C3^2xD19342,13
C2xC19:C9Direct product of C2 and C19:C9389C2xC19:C9342,8
C3xC19:C6Direct product of C3 and C19:C6576C3xC19:C6342,9
S3xC19:C3Direct product of S3 and C19:C3576S3xC19:C3342,10
C6xC19:C3Direct product of C6 and C19:C31143C6xC19:C3342,12
C3:S3xC19Direct product of C19 and C3:S3171C3:S3xC19342,16
C2xC19:2C9Direct product of C2 and C19:2C93423C2xC19:2C9342,2

Groups of order 343

dρLabelID
C343Cyclic group3431C343343,1
C73Elementary abelian group of type [7,7,7]343C7^3343,5
C7xC49Abelian group of type [7,49]343C7xC49343,2

Groups of order 344

dρLabelID
C344Cyclic group3441C344344,2
C43:C8The semidirect product of C43 and C8 acting via C8/C4=C23442C43:C8344,1
C2xC172Abelian group of type [2,172]344C2xC172344,8
C22xC86Abelian group of type [2,2,86]344C2^2xC86344,12
C4xD43Direct product of C4 and D431722C4xD43344,4
C22xD43Direct product of C22 and D43172C2^2xD43344,11
C2xDic43Direct product of C2 and Dic43344C2xDic43344,6

Groups of order 345

dρLabelID
C345Cyclic group3451C345345,1

Groups of order 346

dρLabelID
C346Cyclic group3461C346346,2
D173Dihedral group1732+D173346,1

Groups of order 347

dρLabelID
C347Cyclic group3471C347347,1

Groups of order 348

dρLabelID
C348Cyclic group3481C348348,4
D174Dihedral group; = C2xD871742+D174348,11
Dic87Dicyclic group; = C87:3C43482-Dic87348,3
C87:C41st semidirect product of C87 and C4 acting faithfully874C87:C4348,6
C2xC174Abelian group of type [2,174]348C2xC174348,12
S3xD29Direct product of S3 and D29874+S3xD29348,7
A4xC29Direct product of C29 and A41163A4xC29348,8
S3xC58Direct product of C58 and S31742S3xC58348,10
C6xD29Direct product of C6 and D291742C6xD29348,9
Dic3xC29Direct product of C29 and Dic33482Dic3xC29348,1
C3xDic29Direct product of C3 and Dic293482C3xDic29348,2
C3xC29:C4Direct product of C3 and C29:C4874C3xC29:C4348,5

Groups of order 349

dρLabelID
C349Cyclic group3491C349349,1

Groups of order 350

dρLabelID
C350Cyclic group3501C350350,4
D175Dihedral group1752+D175350,3
C5:D35The semidirect product of C5 and D35 acting via D35/C35=C2175C5:D35350,9
C5xC70Abelian group of type [5,70]350C5xC70350,10
D5xC35Direct product of C35 and D5702D5xC35350,6
C5xD35Direct product of C5 and D35702C5xD35350,7
C7xD25Direct product of C7 and D251752C7xD25350,1
D7xC25Direct product of C25 and D71752D7xC25350,2
D7xC52Direct product of C52 and D7175D7xC5^2350,5
C7xC5:D5Direct product of C7 and C5:D5175C7xC5:D5350,8

Groups of order 351

dρLabelID
C351Cyclic group3511C351351,2
C33:C13The semidirect product of C33 and C13 acting faithfully2713C3^3:C13351,12
C13:C27The semidirect product of C13 and C27 acting via C27/C9=C33513C13:C27351,1
C3xC117Abelian group of type [3,117]351C3xC117351,9
C32xC39Abelian group of type [3,3,39]351C3^2xC39351,14
C9xC13:C3Direct product of C9 and C13:C31173C9xC13:C3351,3
C32xC13:C3Direct product of C32 and C13:C3117C3^2xC13:C3351,13
C3xC13:C9Direct product of C3 and C13:C9351C3xC13:C9351,6

Groups of order 352

dρLabelID
C352Cyclic group3521C352352,2
C11:C32The semidirect product of C11 and C32 acting via C32/C16=C23522C11:C32352,1
C4xC88Abelian group of type [4,88]352C4xC88352,45
C2xC176Abelian group of type [2,176]352C2xC176352,58
C22xC88Abelian group of type [2,2,88]352C2^2xC88352,164
C23xC44Abelian group of type [2,2,2,44]352C2^3xC44352,188
C24xC22Abelian group of type [2,2,2,2,22]352C2^4xC22352,195
C2xC4xC44Abelian group of type [2,4,44]352C2xC4xC44352,149
C16xD11Direct product of C16 and D111762C16xD11352,3
C42xD11Direct product of C42 and D11176C4^2xD11352,66
C24xD11Direct product of C24 and D11176C2^4xD11352,194
C8xDic11Direct product of C8 and Dic11352C8xDic11352,19
C23xDic11Direct product of C23 and Dic11352C2^3xDic11352,186
C2xC8xD11Direct product of C2xC8 and D11176C2xC8xD11352,94
C22xC4xD11Direct product of C22xC4 and D11176C2^2xC4xD11352,174
C4xC11:C8Direct product of C4 and C11:C8352C4xC11:C8352,8
C2xC11:C16Direct product of C2 and C11:C16352C2xC11:C16352,17
C22xC11:C8Direct product of C22 and C11:C8352C2^2xC11:C8352,115
C2xC4xDic11Direct product of C2xC4 and Dic11352C2xC4xDic11352,117

Groups of order 353

dρLabelID
C353Cyclic group3531C353353,1

Groups of order 354

dρLabelID
C354Cyclic group3541C354354,4
D177Dihedral group1772+D177354,3
S3xC59Direct product of C59 and S31772S3xC59354,1
C3xD59Direct product of C3 and D591772C3xD59354,2

Groups of order 355

dρLabelID
C355Cyclic group3551C355355,2
C71:C5The semidirect product of C71 and C5 acting faithfully715C71:C5355,1

Groups of order 356

dρLabelID
C356Cyclic group3561C356356,2
D178Dihedral group; = C2xD891782+D178356,4
Dic89Dicyclic group; = C89:2C43562-Dic89356,1
C89:C4The semidirect product of C89 and C4 acting faithfully894+C89:C4356,3
C2xC178Abelian group of type [2,178]356C2xC178356,5

Groups of order 357

dρLabelID
C357Cyclic group3571C357357,2
C17xC7:C3Direct product of C17 and C7:C31193C17xC7:C3357,1

Groups of order 358

dρLabelID
C358Cyclic group3581C358358,2
D179Dihedral group1792+D179358,1

Groups of order 359

dρLabelID
C359Cyclic group3591C359359,1

Groups of order 360

dρLabelID
C360Cyclic group3601C360360,4
C5:F9The semidirect product of C5 and F9 acting via F9/C3:S3=C4458C5:F9360,125
C5:2F9The semidirect product of C5 and F9 acting via F9/C32:C4=C2458C5:2F9360,124
Dic15:S33rd semidirect product of Dic15 and S3 acting via S3/C3=C2604Dic15:S3360,85
C45:3C81st semidirect product of C45 and C8 acting via C8/C4=C23602C45:3C8360,3
C45:C81st semidirect product of C45 and C8 acting via C8/C2=C43604C45:C8360,6
C3:F5:S3The semidirect product of C3:F5 and S3 acting via S3/C3=C2308+C3:F5:S3360,129
C32:F5:C2The semidirect product of C32:F5 and C2 acting faithfully308+C3^2:F5:C2360,131
(C3xC15):9C86th semidirect product of C3xC15 and C8 acting via C8/C2=C41204(C3xC15):9C8360,56
C6.D303rd non-split extension by C6 of D30 acting via D30/D15=C2604+C6.D30360,79
D30.S3The non-split extension by D30 of S3 acting via S3/C3=C21204D30.S3360,84
D90.C2The non-split extension by D90 of C2 acting faithfully1804+D90.C2360,9
C30.D611st non-split extension by C30 of D6 acting via D6/C3=C22180C30.D6360,67
C60.S36th non-split extension by C60 of S3 acting via S3/C3=C2360C60.S3360,37
C30.Dic33rd non-split extension by C30 of Dic3 acting via Dic3/C3=C4360C30.Dic3360,54
(C3xC6).F5The non-split extension by C3xC6 of F5 acting via F5/C5=C41204-(C3xC6).F5360,57
C6xC60Abelian group of type [6,60]360C6xC60360,115
C2xC180Abelian group of type [2,180]360C2xC180360,30
C3xC120Abelian group of type [3,120]360C3xC120360,38
C22xC90Abelian group of type [2,2,90]360C2^2xC90360,50
C2xC6xC30Abelian group of type [2,6,30]360C2xC6xC30360,162
S3xA5Direct product of S3 and A5156+S3xA5360,121
C6xA5Direct product of C6 and A5303C6xA5360,122
D9xF5Direct product of D9 and F5458+D9xF5360,39
C5xF9Direct product of C5 and F9458C5xF9360,123
A4xD15Direct product of A4 and D15606+A4xD15360,144
A4xC30Direct product of C30 and A4903A4xC30360,156
C18xF5Direct product of C18 and F5904C18xF5360,43
S3xC60Direct product of C60 and S31202S3xC60360,96
C12xD15Direct product of C12 and D151202C12xD15360,101
Dic3xD15Direct product of Dic3 and D151204-Dic3xD15360,77
S3xDic15Direct product of S3 and Dic151204-S3xDic15360,78
Dic3xC30Direct product of C30 and Dic3120Dic3xC30360,98
C6xDic15Direct product of C6 and Dic15120C6xDic15360,103
D5xC36Direct product of C36 and D51802D5xC36360,16
D9xC20Direct product of C20 and D91802D9xC20360,21
C4xD45Direct product of C4 and D451802C4xD45360,26
D9xDic5Direct product of D9 and Dic51804-D9xDic5360,8
D5xDic9Direct product of D5 and Dic91804-D5xDic9360,11
D5xC62Direct product of C62 and D5180D5xC6^2360,157
C22xD45Direct product of C22 and D45180C2^2xD45360,49
C18xDic5Direct product of C18 and Dic5360C18xDic5360,18
C10xDic9Direct product of C10 and Dic9360C10xDic9360,23
C2xDic45Direct product of C2 and Dic45360C2xDic45360,28
S32xD5Direct product of S3, S3 and D5308+S3^2xD5360,137
S3xC3:F5Direct product of S3 and C3:F5308S3xC3:F5360,128
C3xS3xF5Direct product of C3, S3 and F5308C3xS3xF5360,126
D5xC32:C4Direct product of D5 and C32:C4308+D5xC3^2:C4360,130
C3:S3xF5Direct product of C3:S3 and F545C3:S3xF5360,127
C5xS3xA4Direct product of C5, S3 and A4606C5xS3xA4360,143
C3xD5xA4Direct product of C3, D5 and A4606C3xD5xA4360,142
S3xC6xD5Direct product of C6, S3 and D5604S3xC6xD5360,151
C6xC3:F5Direct product of C6 and C3:F5604C6xC3:F5360,146
S32xC10Direct product of C10, S3 and S3604S3^2xC10360,153
C2xS3xD15Direct product of C2, S3 and D15604+C2xS3xD15360,154
C3xD5xDic3Direct product of C3, D5 and Dic3604C3xD5xDic3360,58
C2xC32:F5Direct product of C2 and C32:F5604+C2xC3^2:F5360,150
C2xD15:S3Direct product of C2 and D15:S3604C2xD15:S3360,155
C10xC32:C4Direct product of C10 and C32:C4604C10xC3^2:C4360,148
C5xC6.D6Direct product of C5 and C6.D6604C5xC6.D6360,73
C2xC32:Dic5Direct product of C2 and C32:Dic5604C2xC3^2:Dic5360,149
C2xD5xD9Direct product of C2, D5 and D9904+C2xD5xD9360,45
C2xC9:F5Direct product of C2 and C9:F5904C2xC9:F5360,44
C3xC6xF5Direct product of C3xC6 and F590C3xC6xF5360,145
D5xC3.A4Direct product of D5 and C3.A4906D5xC3.A4360,42
C10xC3.A4Direct product of C10 and C3.A4903C10xC3.A4360,46
C2xC32:3F5Direct product of C2 and C32:3F590C2xC3^2:3F5360,147
C15xC3:C8Direct product of C15 and C3:C81202C15xC3:C8360,34
S3xC2xC30Direct product of C2xC30 and S3120S3xC2xC30360,158
C2xC6xD15Direct product of C2xC6 and D15120C2xC6xD15360,159
C3xC15:C8Direct product of C3 and C15:C81204C3xC15:C8360,53
C3xS3xDic5Direct product of C3, S3 and Dic51204C3xS3xDic5360,59
C5xS3xDic3Direct product of C5, S3 and Dic31204C5xS3xDic3360,72
C3xC15:3C8Direct product of C3 and C15:3C81202C3xC15:3C8360,35
C3xD30.C2Direct product of C3 and D30.C21204C3xD30.C2360,60
C5xC32:2C8Direct product of C5 and C32:2C81204C5xC3^2:2C8360,55
D5xC2xC18Direct product of C2xC18 and D5180D5xC2xC18360,47
D9xC2xC10Direct product of C2xC10 and D9180D9xC2xC10360,48
D5xC3xC12Direct product of C3xC12 and D5180D5xC3xC12360,91
C3:S3xC20Direct product of C20 and C3:S3180C3:S3xC20360,106
C4xC3:D15Direct product of C4 and C3:D15180C4xC3:D15360,111
D5xC3:Dic3Direct product of D5 and C3:Dic3180D5xC3:Dic3360,65
C3:S3xDic5Direct product of C3:S3 and Dic5180C3:S3xDic5360,66
C22xC3:D15Direct product of C22 and C3:D15180C2^2xC3:D15360,161
C5xC9:C8Direct product of C5 and C9:C83602C5xC9:C8360,1
C9xC5:C8Direct product of C9 and C5:C83604C9xC5:C8360,5
C9xC5:2C8Direct product of C9 and C5:2C83602C9xC5:2C8360,2
C32xC5:C8Direct product of C32 and C5:C8360C3^2xC5:C8360,52
C3xC6xDic5Direct product of C3xC6 and Dic5360C3xC6xDic5360,93
C10xC3:Dic3Direct product of C10 and C3:Dic3360C10xC3:Dic3360,108
C2xC3:Dic15Direct product of C2 and C3:Dic15360C2xC3:Dic15360,113
C32xC5:2C8Direct product of C32 and C5:2C8360C3^2xC5:2C8360,33
C5xC32:4C8Direct product of C5 and C32:4C8360C5xC3^2:4C8360,36
C2xD5xC3:S3Direct product of C2, D5 and C3:S390C2xD5xC3:S3360,152
C3:S3xC2xC10Direct product of C2xC10 and C3:S3180C3:S3xC2xC10360,160

Groups of order 361

dρLabelID
C361Cyclic group3611C361361,1
C192Elementary abelian group of type [19,19]361C19^2361,2

Groups of order 362

dρLabelID
C362Cyclic group3621C362362,2
D181Dihedral group1812+D181362,1

Groups of order 363

dρLabelID
C363Cyclic group3631C363363,1
C112:C3The semidirect product of C112 and C3 acting faithfully333C11^2:C3363,2
C11xC33Abelian group of type [11,33]363C11xC33363,3

Groups of order 364

dρLabelID
C364Cyclic group3641C364364,4
D182Dihedral group; = C2xD911822+D182364,10
Dic91Dicyclic group; = C91:3C43642-Dic91364,3
C91:C41st semidirect product of C91 and C4 acting faithfully914C91:C4364,6
C2xC182Abelian group of type [2,182]364C2xC182364,11
D7xD13Direct product of D7 and D13914+D7xD13364,7
D7xC26Direct product of C26 and D71822D7xC26364,9
C14xD13Direct product of C14 and D131822C14xD13364,8
C13xDic7Direct product of C13 and Dic73642C13xDic7364,1
C7xDic13Direct product of C7 and Dic133642C7xDic13364,2
C7xC13:C4Direct product of C7 and C13:C4914C7xC13:C4364,5

Groups of order 365

dρLabelID
C365Cyclic group3651C365365,1

Groups of order 366

dρLabelID
C366Cyclic group3661C366366,6
D183Dihedral group1832+D183366,5
C61:C6The semidirect product of C61 and C6 acting faithfully616+C61:C6366,1
S3xC61Direct product of C61 and S31832S3xC61366,3
C3xD61Direct product of C3 and D611832C3xD61366,4
C2xC61:C3Direct product of C2 and C61:C31223C2xC61:C3366,2

Groups of order 367

dρLabelID
C367Cyclic group3671C367367,1

Groups of order 368

dρLabelID
C368Cyclic group3681C368368,2
C23:C16The semidirect product of C23 and C16 acting via C16/C8=C23682C23:C16368,1
C4xC92Abelian group of type [4,92]368C4xC92368,19
C2xC184Abelian group of type [2,184]368C2xC184368,22
C22xC92Abelian group of type [2,2,92]368C2^2xC92368,37
C23xC46Abelian group of type [2,2,2,46]368C2^3xC46368,42
C8xD23Direct product of C8 and D231842C8xD23368,3
C23xD23Direct product of C23 and D23184C2^3xD23368,41
C4xDic23Direct product of C4 and Dic23368C4xDic23368,10
C22xDic23Direct product of C22 and Dic23368C2^2xDic23368,35
C2xC4xD23Direct product of C2xC4 and D23184C2xC4xD23368,28
C2xC23:C8Direct product of C2 and C23:C8368C2xC23:C8368,8

Groups of order 369

dρLabelID
C369Cyclic group3691C369369,1
C3xC123Abelian group of type [3,123]369C3xC123369,2

Groups of order 370

dρLabelID
C370Cyclic group3701C370370,4
D185Dihedral group1852+D185370,3
D5xC37Direct product of C37 and D51852D5xC37370,1
C5xD37Direct product of C5 and D371852C5xD37370,2

Groups of order 371

dρLabelID
C371Cyclic group3711C371371,1

Groups of order 372

dρLabelID
C372Cyclic group3721C372372,6
D186Dihedral group; = C2xD931862+D186372,14
Dic93Dicyclic group; = C93:1C43722-Dic93372,5
C31:A4The semidirect product of C31 and A4 acting via A4/C22=C31243C31:A4372,11
C31:C12The semidirect product of C31 and C12 acting via C12/C2=C61246-C31:C12372,1
C2xC186Abelian group of type [2,186]372C2xC186372,15
S3xD31Direct product of S3 and D31934+S3xD31372,8
A4xC31Direct product of C31 and A41243A4xC31372,10
S3xC62Direct product of C62 and S31862S3xC62372,13
C6xD31Direct product of C6 and D311862C6xD31372,12
Dic3xC31Direct product of C31 and Dic33722Dic3xC31372,3
C3xDic31Direct product of C3 and Dic313722C3xDic31372,4
C2xC31:C6Direct product of C2 and C31:C6626+C2xC31:C6372,7
C4xC31:C3Direct product of C4 and C31:C31243C4xC31:C3372,2
C22xC31:C3Direct product of C22 and C31:C3124C2^2xC31:C3372,9

Groups of order 373

dρLabelID
C373Cyclic group3731C373373,1

Groups of order 374

dρLabelID
C374Cyclic group3741C374374,4
D187Dihedral group1872+D187374,3
C17xD11Direct product of C17 and D111872C17xD11374,1
C11xD17Direct product of C11 and D171872C11xD17374,2

Groups of order 375

dρLabelID
C375Cyclic group3751C375375,1
C5xC75Abelian group of type [5,75]375C5xC75375,3
C52xC15Abelian group of type [5,5,15]375C5^2xC15375,7
C5xC52:C3Direct product of C5 and C52:C3; = AΣL1(F125)153C5xC5^2:C3375,6

Groups of order 376

dρLabelID
C376Cyclic group3761C376376,2
C47:C8The semidirect product of C47 and C8 acting via C8/C4=C23762C47:C8376,1
C2xC188Abelian group of type [2,188]376C2xC188376,8
C22xC94Abelian group of type [2,2,94]376C2^2xC94376,12
C4xD47Direct product of C4 and D471882C4xD47376,4
C22xD47Direct product of C22 and D47188C2^2xD47376,11
C2xDic47Direct product of C2 and Dic47376C2xDic47376,6

Groups of order 377

dρLabelID
C377Cyclic group3771C377377,1

Groups of order 378

dρLabelID
C378Cyclic group3781C378378,6
D189Dihedral group1892+D189378,5
C9:5F7The semidirect product of C9 and F7 acting via F7/C7:C3=C2636+C9:5F7378,20
C32:4F72nd semidirect product of C32 and F7 acting via F7/C7:C3=C263C3^2:4F7378,51
D21:C9The semidirect product of D21 and C9 acting via C9/C3=C31266D21:C9378,21
C7:C54The semidirect product of C7 and C54 acting via C54/C9=C61896C7:C54378,1
C3:D63The semidirect product of C3 and D63 acting via D63/C63=C2189C3:D63378,42
C33:D73rd semidirect product of C33 and D7 acting via D7/C7=C2189C3^3:D7378,59
C3xC126Abelian group of type [3,126]378C3xC126378,44
C32xC42Abelian group of type [3,3,42]378C3^2xC42378,60
C9xF7Direct product of C9 and F7636C9xF7378,7
C32xF7Direct product of C32 and F763C3^2xF7378,47
S3xC63Direct product of C63 and S31262S3xC63378,33
D9xC21Direct product of C21 and D91262D9xC21378,32
C3xD63Direct product of C3 and D631262C3xD63378,36
C9xD21Direct product of C9 and D211262C9xD21378,37
C32xD21Direct product of C32 and D21126C3^2xD21378,55
C7xD27Direct product of C7 and D271892C7xD27378,3
D7xC27Direct product of C27 and D71892D7xC27378,4
D7xC33Direct product of C33 and D7189D7xC3^3378,53
C3xC3:F7Direct product of C3 and C3:F7426C3xC3:F7378,49
D9xC7:C3Direct product of D9 and C7:C3636D9xC7:C3378,15
S3xC7:C9Direct product of S3 and C7:C91266S3xC7:C9378,16
C18xC7:C3Direct product of C18 and C7:C31263C18xC7:C3378,23
S3xC3xC21Direct product of C3xC21 and S3126S3xC3xC21378,54
C3:S3xC21Direct product of C21 and C3:S3126C3:S3xC21378,56
C3xC3:D21Direct product of C3 and C3:D21126C3xC3:D21378,57
D7xC3xC9Direct product of C3xC9 and D7189D7xC3xC9378,29
C3xC7:C18Direct product of C3 and C7:C18189C3xC7:C18378,10
C7xC9:S3Direct product of C7 and C9:S3189C7xC9:S3378,40
C7xC33:C2Direct product of C7 and C33:C2189C7xC3^3:C2378,58
C6xC7:C9Direct product of C6 and C7:C9378C6xC7:C9378,26
C2xC7:C27Direct product of C2 and C7:C273783C2xC7:C27378,2
C3xS3xC7:C3Direct product of C3, S3 and C7:C3426C3xS3xC7:C3378,48
C3:S3xC7:C3Direct product of C3:S3 and C7:C363C3:S3xC7:C3378,50
C3xC6xC7:C3Direct product of C3xC6 and C7:C3126C3xC6xC7:C3378,52

Groups of order 379

dρLabelID
C379Cyclic group3791C379379,1

Groups of order 380

dρLabelID
C380Cyclic group3801C380380,4
D190Dihedral group; = C2xD951902+D190380,10
Dic95Dicyclic group; = C95:3C43802-Dic95380,3
C19:F5The semidirect product of C19 and F5 acting via F5/D5=C2954C19:F5380,6
C2xC190Abelian group of type [2,190]380C2xC190380,11
D5xD19Direct product of D5 and D19954+D5xD19380,7
C19xF5Direct product of C19 and F5954C19xF5380,5
D5xC38Direct product of C38 and D51902D5xC38380,9
C10xD19Direct product of C10 and D191902C10xD19380,8
C19xDic5Direct product of C19 and Dic53802C19xDic5380,1
C5xDic19Direct product of C5 and Dic193802C5xDic19380,2

Groups of order 381

dρLabelID
C381Cyclic group3811C381381,2
C127:C3The semidirect product of C127 and C3 acting faithfully1273C127:C3381,1

Groups of order 382

dρLabelID
C382Cyclic group3821C382382,2
D191Dihedral group1912+D191382,1

Groups of order 383

dρLabelID
C383Cyclic group3831C383383,1

Groups of order 385

dρLabelID
C385Cyclic group3851C385385,2
C7xC11:C5Direct product of C7 and C11:C5775C7xC11:C5385,1

Groups of order 386

dρLabelID
C386Cyclic group3861C386386,2
D193Dihedral group1932+D193386,1

Groups of order 387

dρLabelID
C387Cyclic group3871C387387,2
C43:C9The semidirect product of C43 and C9 acting via C9/C3=C33873C43:C9387,1
C3xC129Abelian group of type [3,129]387C3xC129387,4
C3xC43:C3Direct product of C3 and C43:C31293C3xC43:C3387,3

Groups of order 388

dρLabelID
C388Cyclic group3881C388388,2
D194Dihedral group; = C2xD971942+D194388,4
Dic97Dicyclic group; = C97:2C43882-Dic97388,1
C97:C4The semidirect product of C97 and C4 acting faithfully974+C97:C4388,3
C2xC194Abelian group of type [2,194]388C2xC194388,5

Groups of order 389

dρLabelID
C389Cyclic group3891C389389,1

Groups of order 390

dρLabelID
C390Cyclic group3901C390390,12
D195Dihedral group1952+D195390,11
D65:C3The semidirect product of D65 and C3 acting faithfully656+D65:C3390,3
S3xC65Direct product of C65 and S31952S3xC65390,8
D5xC39Direct product of C39 and D51952D5xC39390,6
C3xD65Direct product of C3 and D651952C3xD65390,7
C5xD39Direct product of C5 and D391952C5xD39390,9
C15xD13Direct product of C15 and D131952C15xD13390,5
C13xD15Direct product of C13 and D151952C13xD15390,10
C5xC13:C6Direct product of C5 and C13:C6656C5xC13:C6390,1
D5xC13:C3Direct product of D5 and C13:C3656D5xC13:C3390,2
C10xC13:C3Direct product of C10 and C13:C31303C10xC13:C3390,4

Groups of order 391

dρLabelID
C391Cyclic group3911C391391,1

Groups of order 392

dρLabelID
C392Cyclic group3921C392392,2
C72:C8The semidirect product of C72 and C8 acting faithfully288+C7^2:C8392,36
Dic7:2D7The semidirect product of Dic7 and D7 acting through Inn(Dic7)284+Dic7:2D7392,19
C72:2C8The semidirect product of C72 and C8 acting via C8/C2=C4564-C7^2:2C8392,17
C49:C8The semidirect product of C49 and C8 acting via C8/C4=C23922C49:C8392,1
C72:4C82nd semidirect product of C72 and C8 acting via C8/C4=C2392C7^2:4C8392,15
C7.F8The central extension by C7 of F8987C7.F8392,11
C7xC56Abelian group of type [7,56]392C7xC56392,16
C2xC196Abelian group of type [2,196]392C2xC196392,8
C14xC28Abelian group of type [14,28]392C14xC28392,33
C22xC98Abelian group of type [2,2,98]392C2^2xC98392,13
C2xC142Abelian group of type [2,14,14]392C2xC14^2392,44
C7xF8Direct product of C7 and F8567C7xF8392,39
D7xC28Direct product of C28 and D7562D7xC28392,24
D7xDic7Direct product of D7 and Dic7564-D7xDic7392,18
C14xDic7Direct product of C14 and Dic756C14xDic7392,26
C4xD49Direct product of C4 and D491962C4xD49392,4
C22xD49Direct product of C22 and D49196C2^2xD49392,12
C2xDic49Direct product of C2 and Dic49392C2xDic49392,6
C2xD72Direct product of C2, D7 and D7284+C2xD7^2392,41
C2xC72:C4Direct product of C2 and C72:C4284+C2xC7^2:C4392,40
C7xC7:C8Direct product of C7 and C7:C8562C7xC7:C8392,14
D7xC2xC14Direct product of C2xC14 and D756D7xC2xC14392,42
C4xC7:D7Direct product of C4 and C7:D7196C4xC7:D7392,29
C22xC7:D7Direct product of C22 and C7:D7196C2^2xC7:D7392,43
C2xC7:Dic7Direct product of C2 and C7:Dic7392C2xC7:Dic7392,31

Groups of order 393

dρLabelID
C393Cyclic group3931C393393,1

Groups of order 394

dρLabelID
C394Cyclic group3941C394394,2
D197Dihedral group1972+D197394,1

Groups of order 395

dρLabelID
C395Cyclic group3951C395395,1

Groups of order 396

dρLabelID
C396Cyclic group3961C396396,4
D198Dihedral group; = C2xD991982+D198396,9
Dic99Dicyclic group; = C99:1C43962-Dic99396,3
D33:S3The semidirect product of D33 and S3 acting via S3/C3=C2664D33:S3396,23
C32:Dic11The semidirect product of C32 and Dic11 acting via Dic11/C11=C4664C3^2:Dic11396,18
C3:Dic33The semidirect product of C3 and Dic33 acting via Dic33/C66=C2396C3:Dic33396,15
C6xC66Abelian group of type [6,66]396C6xC66396,30
C2xC198Abelian group of type [2,198]396C2xC198396,10
C3xC132Abelian group of type [3,132]396C3xC132396,16
S3xD33Direct product of S3 and D33664+S3xD33396,22
D9xD11Direct product of D9 and D11994+D9xD11396,5
S3xC66Direct product of C66 and S31322S3xC66396,26
A4xC33Direct product of C33 and A41323A4xC33396,24
C6xD33Direct product of C6 and D331322C6xD33396,27
Dic3xC33Direct product of C33 and Dic31322Dic3xC33396,12
C3xDic33Direct product of C3 and Dic331322C3xDic33396,13
D9xC22Direct product of C22 and D91982D9xC22396,8
C18xD11Direct product of C18 and D111982C18xD11396,7
C11xDic9Direct product of C11 and Dic93962C11xDic9396,1
C9xDic11Direct product of C9 and Dic113962C9xDic11396,2
C32xDic11Direct product of C32 and Dic11396C3^2xDic11396,11
S32xC11Direct product of C11, S3 and S3664S3^2xC11396,21
C3xS3xD11Direct product of C3, S3 and D11664C3xS3xD11396,19
C11xC32:C4Direct product of C11 and C32:C4664C11xC3^2:C4396,17
C3:S3xD11Direct product of C3:S3 and D1199C3:S3xD11396,20
C3xC6xD11Direct product of C3xC6 and D11198C3xC6xD11396,25
C3:S3xC22Direct product of C22 and C3:S3198C3:S3xC22396,28
C2xC3:D33Direct product of C2 and C3:D33198C2xC3:D33396,29
C11xC3.A4Direct product of C11 and C3.A41983C11xC3.A4396,6
C11xC3:Dic3Direct product of C11 and C3:Dic3396C11xC3:Dic3396,14

Groups of order 397

dρLabelID
C397Cyclic group3971C397397,1

Groups of order 398

dρLabelID
C398Cyclic group3981C398398,2
D199Dihedral group1992+D199398,1

Groups of order 399

dρLabelID
C399Cyclic group3991C399399,5
C133:C33rd semidirect product of C133 and C3 acting faithfully1333C133:C3399,3
C133:4C34th semidirect product of C133 and C3 acting faithfully1333C133:4C3399,4
C19xC7:C3Direct product of C19 and C7:C31333C19xC7:C3399,1
C7xC19:C3Direct product of C7 and C19:C31333C7xC19:C3399,2

Groups of order 400

dρLabelID
C400Cyclic group4001C400400,2
C52:3C422nd semidirect product of C52 and C42 acting via C42/C2=C2xC4208+C5^2:3C4^2400,124
C24:C25The semidirect product of C24 and C25 acting via C25/C5=C5505C2^4:C25400,52
C52:C16The semidirect product of C52 and C16 acting via C16/C2=C8808-C5^2:C16400,116
C52:3C162nd semidirect product of C52 and C16 acting via C16/C4=C4804C5^2:3C16400,57
C52:5C164th semidirect product of C52 and C16 acting via C16/C4=C4804C5^2:5C16400,59
D25:C8The semidirect product of D25 and C8 acting via C8/C4=C22004D25:C8400,28
C25:C16The semidirect product of C25 and C16 acting via C16/C4=C44004C25:C16400,3
C25:2C16The semidirect product of C25 and C16 acting via C16/C8=C24002C25:2C16400,1
C52:7C162nd semidirect product of C52 and C16 acting via C16/C8=C2400C5^2:7C16400,50
C52:4C163rd semidirect product of C52 and C16 acting via C16/C4=C4400C5^2:4C16400,58
C20.11F511st non-split extension by C20 of F5 acting via F5/C5=C4404C20.11F5400,156
C20.29D103rd non-split extension by C20 of D10 acting via D10/D5=C2404C20.29D10400,61
Dic5.4F5The non-split extension by Dic5 of F5 acting through Inn(Dic5)408+Dic5.4F5400,121
D10.2F52nd non-split extension by D10 of F5 acting via F5/D5=C2808-D10.2F5400,127
C20.14F53rd non-split extension by C20 of F5 acting via F5/D5=C2804C20.14F5400,142
C20.F510th non-split extension by C20 of F5 acting via F5/C5=C4200C20.F5400,149
C202Abelian group of type [20,20]400C20^2400,108
C5xC80Abelian group of type [5,80]400C5xC80400,51
C4xC100Abelian group of type [4,100]400C4xC100400,20
C2xC200Abelian group of type [2,200]400C2xC200400,23
C10xC40Abelian group of type [10,40]400C10xC40400,111
C23xC50Abelian group of type [2,2,2,50]400C2^3xC50400,55
C22xC100Abelian group of type [2,2,100]400C2^2xC100400,45
C22xC102Abelian group of type [2,2,10,10]400C2^2xC10^2400,221
C2xC10xC20Abelian group of type [2,10,20]400C2xC10xC20400,201
F52Direct product of F5 and F5; = Hol(F5)2016+F5^2400,205
D5xC40Direct product of C40 and D5802D5xC40400,76
C20xF5Direct product of C20 and F5804C20xF5400,137
Dic52Direct product of Dic5 and Dic580Dic5^2400,71
Dic5xF5Direct product of Dic5 and F5808-Dic5xF5400,117
Dic5xC20Direct product of C20 and Dic580Dic5xC20400,83
C8xD25Direct product of C8 and D252002C8xD25400,5
C23xD25Direct product of C23 and D25200C2^3xD25400,54
C4xDic25Direct product of C4 and Dic25400C4xDic25400,11
C22xDic25Direct product of C22 and Dic25400C2^2xDic25400,43
C2xD5:F5Direct product of C2 and D5:F5208+C2xD5:F5400,210
C2xC52:C8Direct product of C2 and C52:C8208+C2xC5^2:C8400,208
C4xD52Direct product of C4, D5 and D5404C4xD5^2400,169
C2xD5xF5Direct product of C2, D5 and F5408+C2xD5xF5400,209
C22xD52Direct product of C22, D5 and D540C2^2xD5^2400,218
C4xC52:C4Direct product of C4 and C52:C4404C4xC5^2:C4400,158
C22xC52:C4Direct product of C22 and C52:C440C2^2xC5^2:C4400,217
C2xDic5:2D5Direct product of C2 and Dic5:2D540C2xDic5:2D5400,175
C5xC24:C5Direct product of C5 and C24:C5505C5xC2^4:C5400,213
D5xC5:C8Direct product of D5 and C5:C8808-D5xC5:C8400,120
C5xC5:C16Direct product of C5 and C5:C16804C5xC5:C16400,56
C10xC5:C8Direct product of C10 and C5:C880C10xC5:C8400,139
D5xC2xC20Direct product of C2xC20 and D580D5xC2xC20400,182
F5xC2xC10Direct product of C2xC10 and F580F5xC2xC10400,214
C5xD5:C8Direct product of C5 and D5:C8804C5xD5:C8400,135
D5xC5:2C8Direct product of D5 and C5:2C8804D5xC5:2C8400,60
C2xD5xDic5Direct product of C2, D5 and Dic580C2xD5xDic5400,172
C5xC5:2C16Direct product of C5 and C5:2C16802C5xC5:2C16400,49
C10xC5:2C8Direct product of C10 and C5:2C880C10xC5:2C8400,81
C4xD5.D5Direct product of C4 and D5.D5804C4xD5.D5400,144
Dic5xC2xC10Direct product of C2xC10 and Dic580Dic5xC2xC10400,189
D5xC22xC10Direct product of C22xC10 and D580D5xC2^2xC10400,219
C2xC52:3C8Direct product of C2 and C52:3C880C2xC5^2:3C8400,146
C2xC52:5C8Direct product of C2 and C52:5C880C2xC5^2:5C8400,160
C22xD5.D5Direct product of C22 and D5.D580C2^2xD5.D5400,215
C4xC25:C4Direct product of C4 and C25:C41004C4xC25:C4400,30
C4xC5:F5Direct product of C4 and C5:F5100C4xC5:F5400,151
C22xC25:C4Direct product of C22 and C25:C4100C2^2xC25:C4400,53
C22xC5:F5Direct product of C22 and C5:F5100C2^2xC5:F5400,216
C8xC5:D5Direct product of C8 and C5:D5200C8xC5:D5400,92
C2xC4xD25Direct product of C2xC4 and D25200C2xC4xD25400,36
C23xC5:D5Direct product of C23 and C5:D5200C2^3xC5:D5400,220
C2xC25:C8Direct product of C2 and C25:C8400C2xC25:C8400,32
C2xC25:2C8Direct product of C2 and C25:2C8400C2xC25:2C8400,9
C2xC52:7C8Direct product of C2 and C52:7C8400C2xC5^2:7C8400,97
C4xC52:6C4Direct product of C4 and C52:6C4400C4xC5^2:6C4400,99
C2xC52:4C8Direct product of C2 and C52:4C8400C2xC5^2:4C8400,153
C22xC52:6C4Direct product of C22 and C52:6C4400C2^2xC5^2:6C4400,199
C2xC4xC5:D5Direct product of C2xC4 and C5:D5200C2xC4xC5:D5400,192

Groups of order 401

dρLabelID
C401Cyclic group4011C401401,1

Groups of order 402

dρLabelID
C402Cyclic group4021C402402,6
D201Dihedral group2012+D201402,5
C67:C6The semidirect product of C67 and C6 acting faithfully676+C67:C6402,1
S3xC67Direct product of C67 and S32012S3xC67402,3
C3xD67Direct product of C3 and D672012C3xD67402,4
C2xC67:C3Direct product of C2 and C67:C31343C2xC67:C3402,2

Groups of order 403

dρLabelID
C403Cyclic group4031C403403,1

Groups of order 404

dρLabelID
C404Cyclic group4041C404404,2
D202Dihedral group; = C2xD1012022+D202404,4
Dic101Dicyclic group; = C101:2C44042-Dic101404,1
C101:C4The semidirect product of C101 and C4 acting faithfully1014+C101:C4404,3
C2xC202Abelian group of type [2,202]404C2xC202404,5

Groups of order 405

dρLabelID
C405Cyclic group4051C405405,1
C34:C5The semidirect product of C34 and C5 acting faithfully155C3^4:C5405,15
C9xC45Abelian group of type [9,45]405C9xC45405,2
C3xC135Abelian group of type [3,135]405C3xC135405,5
C32xC45Abelian group of type [3,3,45]405C3^2xC45405,11
C33xC15Abelian group of type [3,3,3,15]405C3^3xC15405,16

Groups of order 406

dρLabelID
C406Cyclic group4061C406406,6
D203Dihedral group2032+D203406,5
C29:C14The semidirect product of C29 and C14 acting faithfully2914+C29:C14406,1
D7xC29Direct product of C29 and D72032D7xC29406,3
C7xD29Direct product of C7 and D292032C7xD29406,4
C2xC29:C7Direct product of C2 and C29:C7587C2xC29:C7406,2

Groups of order 407

dρLabelID
C407Cyclic group4071C407407,1

Groups of order 408

dρLabelID
C408Cyclic group4081C408408,4
C51:C81st semidirect product of C51 and C8 acting faithfully518C51:C8408,34
D51:2C4The semidirect product of D51 and C4 acting via C4/C2=C22044+D51:2C4408,9
C51:5C81st semidirect product of C51 and C8 acting via C8/C4=C24082C51:5C8408,3
C51:3C81st semidirect product of C51 and C8 acting via C8/C2=C44084C51:3C8408,6
C2xC204Abelian group of type [2,204]408C2xC204408,30
C22xC102Abelian group of type [2,2,102]408C2^2xC102408,46
A4xD17Direct product of A4 and D17686+A4xD17408,38
A4xC34Direct product of C34 and A41023A4xC34408,42
S3xC68Direct product of C68 and S32042S3xC68408,21
C4xD51Direct product of C4 and D512042C4xD51408,26
C12xD17Direct product of C12 and D172042C12xD17408,16
Dic3xD17Direct product of Dic3 and D172044-Dic3xD17408,7
S3xDic17Direct product of S3 and Dic172044-S3xDic17408,8
C22xD51Direct product of C22 and D51204C2^2xD51408,45
C6xDic17Direct product of C6 and Dic17408C6xDic17408,18
Dic3xC34Direct product of C34 and Dic3408Dic3xC34408,23
C2xDic51Direct product of C2 and Dic51408C2xDic51408,28
C3xC17:C8Direct product of C3 and C17:C8518C3xC17:C8408,33
S3xC17:C4Direct product of S3 and C17:C4518+S3xC17:C4408,35
C6xC17:C4Direct product of C6 and C17:C41024C6xC17:C4408,39
C2xS3xD17Direct product of C2, S3 and D171024+C2xS3xD17408,41
C2xC51:C4Direct product of C2 and C51:C41024C2xC51:C4408,40
S3xC2xC34Direct product of C2xC34 and S3204S3xC2xC34408,44
C2xC6xD17Direct product of C2xC6 and D17204C2xC6xD17408,43
C17xC3:C8Direct product of C17 and C3:C84082C17xC3:C8408,1
C3xC17:3C8Direct product of C3 and C17:3C84082C3xC17:3C8408,2
C3xC17:2C8Direct product of C3 and C17:2C84084C3xC17:2C8408,5

Groups of order 409

dρLabelID
C409Cyclic group4091C409409,1

Groups of order 410

dρLabelID
C410Cyclic group4101C410410,6
D205Dihedral group2052+D205410,5
C41:C10The semidirect product of C41 and C10 acting faithfully4110+C41:C10410,1
D5xC41Direct product of C41 and D52052D5xC41410,3
C5xD41Direct product of C5 and D412052C5xD41410,4
C2xC41:C5Direct product of C2 and C41:C5825C2xC41:C5410,2

Groups of order 411

dρLabelID
C411Cyclic group4111C411411,1

Groups of order 412

dρLabelID
C412Cyclic group4121C412412,2
D206Dihedral group; = C2xD1032062+D206412,3
Dic103Dicyclic group; = C103:C44122-Dic103412,1
C2xC206Abelian group of type [2,206]412C2xC206412,4

Groups of order 413

dρLabelID
C413Cyclic group4131C413413,1

Groups of order 414

dρLabelID
C414Cyclic group4141C414414,4
D207Dihedral group2072+D207414,3
C3:D69The semidirect product of C3 and D69 acting via D69/C69=C2207C3:D69414,9
C3xC138Abelian group of type [3,138]414C3xC138414,10
S3xC69Direct product of C69 and S31382S3xC69414,6
C3xD69Direct product of C3 and D691382C3xD69414,7
D9xC23Direct product of C23 and D92072D9xC23414,1
C9xD23Direct product of C9 and D232072C9xD23414,2
C32xD23Direct product of C32 and D23207C3^2xD23414,5
C3:S3xC23Direct product of C23 and C3:S3207C3:S3xC23414,8

Groups of order 415

dρLabelID
C415Cyclic group4151C415415,1

Groups of order 416

dρLabelID
C416Cyclic group4161C416416,2
D13:C16The semidirect product of D13 and C16 acting via C16/C8=C22084D13:C16416,64
C13:C32The semidirect product of C13 and C32 acting via C32/C8=C44164C13:C32416,3
C13:2C32The semidirect product of C13 and C32 acting via C32/C16=C24162C13:2C32416,1
C4xC104Abelian group of type [4,104]416C4xC104416,46
C2xC208Abelian group of type [2,208]416C2xC208416,59
C23xC52Abelian group of type [2,2,2,52]416C2^3xC52416,227
C24xC26Abelian group of type [2,2,2,2,26]416C2^4xC26416,235
C22xC104Abelian group of type [2,2,104]416C2^2xC104416,190
C2xC4xC52Abelian group of type [2,4,52]416C2xC4xC52416,175
C16xD13Direct product of C16 and D132082C16xD13416,4
C42xD13Direct product of C42 and D13208C4^2xD13416,92
C24xD13Direct product of C24 and D13208C2^4xD13416,234
C8xDic13Direct product of C8 and Dic13416C8xDic13416,20
C23xDic13Direct product of C23 and Dic13416C2^3xDic13416,225
C8xC13:C4Direct product of C8 and C13:C41044C8xC13:C4416,66
C23xC13:C4Direct product of C23 and C13:C4104C2^3xC13:C4416,233
C2xC8xD13Direct product of C2xC8 and D13208C2xC8xD13416,120
C2xD13:C8Direct product of C2 and D13:C8208C2xD13:C8416,199
C22xC4xD13Direct product of C22xC4 and D13208C2^2xC4xD13416,213
C4xC13:C8Direct product of C4 and C13:C8416C4xC13:C8416,75
C2xC13:C16Direct product of C2 and C13:C16416C2xC13:C16416,72
C4xC13:2C8Direct product of C4 and C13:2C8416C4xC13:2C8416,9
C22xC13:C8Direct product of C22 and C13:C8416C2^2xC13:C8416,209
C2xC4xDic13Direct product of C2xC4 and Dic13416C2xC4xDic13416,143
C2xC13:2C16Direct product of C2 and C13:2C16416C2xC13:2C16416,18
C22xC13:2C8Direct product of C22 and C13:2C8416C2^2xC13:2C8416,141
C2xC4xC13:C4Direct product of C2xC4 and C13:C4104C2xC4xC13:C4416,202

Groups of order 417

dρLabelID
C417Cyclic group4171C417417,2
C139:C3The semidirect product of C139 and C3 acting faithfully1393C139:C3417,1

Groups of order 418

dρLabelID
C418Cyclic group4181C418418,4
D209Dihedral group2092+D209418,3
C19xD11Direct product of C19 and D112092C19xD11418,1
C11xD19Direct product of C11 and D192092C11xD19418,2

Groups of order 419

dρLabelID
C419Cyclic group4191C419419,1

Groups of order 420

dρLabelID
C420Cyclic group4201C420420,12
D210Dihedral group; = C2xD1052102+D210420,40
Dic105Dicyclic group; = C3:Dic354202-Dic105420,11
C35:C121st semidirect product of C35 and C12 acting faithfully3512C35:C12420,15
D15:D7The semidirect product of D15 and D7 acting via D7/C7=C21054D15:D7420,30
C5:Dic21The semidirect product of C5 and Dic21 acting via Dic21/C21=C41054C5:Dic21420,23
C35:3C121st semidirect product of C35 and C12 acting via C12/C2=C61406-C35:3C12420,3
C2xC210Abelian group of type [2,210]420C2xC210420,41
C7xA5Direct product of C7 and A5353C7xA5420,13
D5xF7Direct product of D5 and F73512+D5xF7420,16
C10xF7Direct product of C10 and F7706C10xF7420,17
D7xD15Direct product of D7 and D151054+D7xD15420,26
D5xD21Direct product of D5 and D211054+D5xD21420,28
S3xD35Direct product of S3 and D351054+S3xD35420,29
F5xC21Direct product of C21 and F51054F5xC21420,20
A4xC35Direct product of C35 and A41403A4xC35420,32
S3xC70Direct product of C70 and S32102S3xC70420,37
D7xC30Direct product of C30 and D72102D7xC30420,34
D5xC42Direct product of C42 and D52102D5xC42420,35
C6xD35Direct product of C6 and D352102C6xD35420,36
C10xD21Direct product of C10 and D212102C10xD21420,38
C14xD15Direct product of C14 and D152102C14xD15420,39
C15xDic7Direct product of C15 and Dic74202C15xDic7420,5
Dic5xC21Direct product of C21 and Dic54202Dic5xC21420,6
C3xDic35Direct product of C3 and Dic354202C3xDic35420,7
Dic3xC35Direct product of C35 and Dic34202Dic3xC35420,8
C5xDic21Direct product of C5 and Dic214202C5xDic21420,9
C7xDic15Direct product of C7 and Dic154202C7xDic15420,10
F5xC7:C3Direct product of F5 and C7:C33512F5xC7:C3420,14
C2xC5:F7Direct product of C2 and C5:F7706+C2xC5:F7420,19
C3xD5xD7Direct product of C3, D5 and D71054C3xD5xD7420,24
C5xS3xD7Direct product of C5, S3 and D71054C5xS3xD7420,25
S3xC7xD5Direct product of C7, S3 and D51054S3xC7xD5420,27
C3xC7:F5Direct product of C3 and C7:F51054C3xC7:F5420,21
C7xC3:F5Direct product of C7 and C3:F51054C7xC3:F5420,22
C5xC7:A4Direct product of C5 and C7:A41403C5xC7:A4420,33
C5xC7:C12Direct product of C5 and C7:C121406C5xC7:C12420,1
C20xC7:C3Direct product of C20 and C7:C31403C20xC7:C3420,4
Dic5xC7:C3Direct product of Dic5 and C7:C31406Dic5xC7:C3420,2
C2xD5xC7:C3Direct product of C2, D5 and C7:C3706C2xD5xC7:C3420,18
C2xC10xC7:C3Direct product of C2xC10 and C7:C3140C2xC10xC7:C3420,31

Groups of order 421

dρLabelID
C421Cyclic group4211C421421,1

Groups of order 422

dρLabelID
C422Cyclic group4221C422422,2
D211Dihedral group2112+D211422,1

Groups of order 423

dρLabelID
C423Cyclic group4231C423423,1
C3xC141Abelian group of type [3,141]423C3xC141423,2

Groups of order 424

dρLabelID
C424Cyclic group4241C424424,2
C53:C8The semidirect product of C53 and C8 acting via C8/C2=C44244-C53:C8424,3
C53:2C8The semidirect product of C53 and C8 acting via C8/C4=C24242C53:2C8424,1
C2xC212Abelian group of type [2,212]424C2xC212424,9
C22xC106Abelian group of type [2,2,106]424C2^2xC106424,14
C4xD53Direct product of C4 and D532122C4xD53424,5
C22xD53Direct product of C22 and D53212C2^2xD53424,13
C2xDic53Direct product of C2 and Dic53424C2xDic53424,7
C2xC53:C4Direct product of C2 and C53:C41064+C2xC53:C4424,12

Groups of order 425

dρLabelID
C425Cyclic group4251C425425,1
C5xC85Abelian group of type [5,85]425C5xC85425,2

Groups of order 426

dρLabelID
C426Cyclic group4261C426426,4
D213Dihedral group2132+D213426,3
S3xC71Direct product of C71 and S32132S3xC71426,1
C3xD71Direct product of C3 and D712132C3xD71426,2

Groups of order 427

dρLabelID
C427Cyclic group4271C427427,1

Groups of order 428

dρLabelID
C428Cyclic group4281C428428,2
D214Dihedral group; = C2xD1072142+D214428,3
Dic107Dicyclic group; = C107:C44282-Dic107428,1
C2xC214Abelian group of type [2,214]428C2xC214428,4

Groups of order 429

dρLabelID
C429Cyclic group4291C429429,2
C11xC13:C3Direct product of C11 and C13:C31433C11xC13:C3429,1

Groups of order 430

dρLabelID
C430Cyclic group4301C430430,4
D215Dihedral group2152+D215430,3
D5xC43Direct product of C43 and D52152D5xC43430,1
C5xD43Direct product of C5 and D432152C5xD43430,2

Groups of order 431

dρLabelID
C431Cyclic group4311C431431,1

Groups of order 432

dρLabelID
C432Cyclic group4321C432432,2
C33:4C162nd semidirect product of C33 and C16 acting via C16/C4=C4484C3^3:4C16432,413
C33:6C423rd semidirect product of C33 and C42 acting via C42/C22=C2248C3^3:6C4^2432,460
C42:C27The semidirect product of C42 and C27 acting via C27/C9=C31083C4^2:C27432,3
C24:C272nd semidirect product of C24 and C27 acting via C27/C9=C3108C2^4:C27432,226
C27:C16The semidirect product of C27 and C16 acting via C16/C8=C24322C27:C16432,1
C33:7C163rd semidirect product of C33 and C16 acting via C16/C8=C2432C3^3:7C16432,231
C33:5(C2xC8)2nd semidirect product of C33 and C2xC8 acting via C2xC8/C2=C2xC4248+C3^3:5(C2xC8)432,571
Dic3:6S322nd semidirect product of Dic3 and S32 acting through Inn(Dic3)488-Dic3:6S3^2432,596
C33:7(C2xC8)2nd semidirect product of C33 and C2xC8 acting via C2xC8/C4=C4484C3^3:7(C2xC8)432,635
C6.F93rd non-split extension by C6 of F9 acting via F9/C32:C4=C2488C6.F9432,566
C36.38D69th non-split extension by C36 of D6 acting via D6/S3=C2724C36.38D6432,59
C72.S38th non-split extension by C72 of S3 acting via S3/C3=C2432C72.S3432,32
C3.A422nd central extension by C3 of A42369C3.A4^2432,525
C12.93S3213rd non-split extension by C12 of S32 acting via S32/C3:S3=C2484C12.93S3^2432,455
C12.69S3226th non-split extension by C12 of S32 acting via S32/C3xS3=C272C12.69S3^2432,432
C6xC72Abelian group of type [6,72]432C6xC72432,209
C4xC108Abelian group of type [4,108]432C4xC108432,20
C2xC216Abelian group of type [2,216]432C2xC216432,23
C3xC144Abelian group of type [3,144]432C3xC144432,34
C12xC36Abelian group of type [12,36]432C12xC36432,200
C2xC63Abelian group of type [2,6,6,6]432C2xC6^3432,775
C23xC54Abelian group of type [2,2,2,54]432C2^3xC54432,228
C32xC48Abelian group of type [3,3,48]432C3^2xC48432,232
C3xC122Abelian group of type [3,12,12]432C3xC12^2432,512
C62xC12Abelian group of type [6,6,12]432C6^2xC12432,730
C22xC108Abelian group of type [2,2,108]432C2^2xC108432,53
C2xC6xC36Abelian group of type [2,6,36]432C2xC6xC36432,400
C3xC6xC24Abelian group of type [3,6,24]432C3xC6xC24432,515
C22xC6xC18Abelian group of type [2,2,6,18]432C2^2xC6xC18432,562
S3xF9Direct product of S3 and F92416+S3xF9432,736
C6xF9Direct product of C6 and F9488C6xF9432,751
A4xC36Direct product of C36 and A41083A4xC36432,325
A4xC62Direct product of C62 and A4108A4xC6^2432,770
A4xDic9Direct product of A4 and Dic91086-A4xDic9432,266
S3xC72Direct product of C72 and S31442S3xC72432,109
D9xC24Direct product of C24 and D91442D9xC24432,105
C12xDic9Direct product of C12 and Dic9144C12xDic9432,128
Dic3xC36Direct product of C36 and Dic3144Dic3xC36432,131
Dic3xDic9Direct product of Dic3 and Dic9144Dic3xDic9432,87
Dic3xC62Direct product of C62 and Dic3144Dic3xC6^2432,708
C8xD27Direct product of C8 and D272162C8xD27432,5
C23xD27Direct product of C23 and D27216C2^3xD27432,227
C4xDic27Direct product of C4 and Dic27432C4xDic27432,11
C22xDic27Direct product of C22 and Dic27432C2^2xDic27432,51
S32xA4Direct product of S3, S3 and A42412+S3^2xA4432,749
A4xC32:C4Direct product of A4 and C32:C42412+A4xC3^2:C4432,744
S3xC6.D6Direct product of S3 and C6.D6248+S3xC6.D6432,595
C3xA42Direct product of C3, A4 and A4369C3xA4^2432,750
S3xC6xA4Direct product of C6, S3 and A4366S3xC6xA4432,763
C3xDic3xA4Direct product of C3, Dic3 and A4366C3xDic3xA4432,624
Dic3xC3.A4Direct product of Dic3 and C3.A4366Dic3xC3.A4432,271
S32xC12Direct product of C12, S3 and S3484S3^2xC12432,648
C2xC3:F9Direct product of C2 and C3:F9488C2xC3:F9432,752
C3xDic32Direct product of C3, Dic3 and Dic348C3xDic3^2432,425
S32xDic3Direct product of S3, S3 and Dic3488-S3^2xDic3432,594
S3xC6xDic3Direct product of C6, S3 and Dic348S3xC6xDic3432,651
C3xC2.F9Direct product of C3 and C2.F9488C3xC2.F9432,565
C12xC32:C4Direct product of C12 and C32:C4484C12xC3^2:C4432,630
C4xC33:C4Direct product of C4 and C33:C4484C4xC3^3:C4432,637
C6xC6.D6Direct product of C6 and C6.D648C6xC6.D6432,654
S3xC32:2C8Direct product of S3 and C32:2C8488-S3xC3^2:2C8432,570
C6xC32:2C8Direct product of C6 and C32:2C848C6xC3^2:2C8432,632
C2xC33:4C8Direct product of C2 and C33:4C848C2xC3^3:4C8432,639
Dic3xC32:C4Direct product of Dic3 and C32:C4488-Dic3xC3^2:C4432,567
C3xC32:2C16Direct product of C3 and C32:2C16484C3xC3^2:2C16432,412
C4xC32:4D6Direct product of C4 and C32:4D6484C4xC3^2:4D6432,690
C22xC33:C4Direct product of C22 and C33:C448C2^2xC3^3:C4432,766
C3xC12.29D6Direct product of C3 and C12.29D6484C3xC12.29D6432,415
C22xC32:4D6Direct product of C22 and C32:4D648C2^2xC3^2:4D6432,769
C2xA4xD9Direct product of C2, A4 and D9546+C2xA4xD9432,540
A4xC3.A4Direct product of A4 and C3.A4549A4xC3.A4432,524
C4xS3xD9Direct product of C4, S3 and D9724C4xS3xD9432,290
C22xS3xD9Direct product of C22, S3 and D972C2^2xS3xD9432,544
C2xC18.D6Direct product of C2 and C18.D672C2xC18.D6432,306
A4xC2xC18Direct product of C2xC18 and A4108A4xC2xC18432,546
A4xC3xC12Direct product of C3xC12 and A4108A4xC3xC12432,697
C4xC9.A4Direct product of C4 and C9.A41083C4xC9.A4432,40
C9xC42:C3Direct product of C9 and C42:C31083C9xC4^2:C3432,99
C3xC42:C9Direct product of C3 and C42:C9108C3xC4^2:C9432,101
C12xC3.A4Direct product of C12 and C3.A4108C12xC3.A4432,331
C9xC22:A4Direct product of C9 and C22:A4108C9xC2^2:A4432,551
A4xC3:Dic3Direct product of A4 and C3:Dic3108A4xC3:Dic3432,627
C3xC24:C9Direct product of C3 and C24:C9108C3xC2^4:C9432,553
C22xC9.A4Direct product of C22 and C9.A4108C2^2xC9.A4432,225
C32xC42:C3Direct product of C32 and C42:C3108C3^2xC4^2:C3432,463
C32xC22:A4Direct product of C32 and C22:A4108C3^2xC2^2:A4432,771
C6xC9:C8Direct product of C6 and C9:C8144C6xC9:C8432,124
S3xC9:C8Direct product of S3 and C9:C81444S3xC9:C8432,66
D9xC3:C8Direct product of D9 and C3:C81444D9xC3:C8432,58
C3xC9:C16Direct product of C3 and C9:C161442C3xC9:C16432,28
C9xC3:C16Direct product of C9 and C3:C161442C9xC3:C16432,29
C18xC3:C8Direct product of C18 and C3:C8144C18xC3:C8432,126
S3xC2xC36Direct product of C2xC36 and S3144S3xC2xC36432,345
S3xC3xC24Direct product of C3xC24 and S3144S3xC3xC24432,464
S3xC6xC12Direct product of C6xC12 and S3144S3xC6xC12432,701
D9xC2xC12Direct product of C2xC12 and D9144D9xC2xC12432,342
C3:S3xC24Direct product of C24 and C3:S3144C3:S3xC24432,480
S3xC2xC62Direct product of C2xC62 and S3144S3xC2xC6^2432,772
C2xDic3xD9Direct product of C2, Dic3 and D9144C2xDic3xD9432,304
C2xS3xDic9Direct product of C2, S3 and Dic9144C2xS3xDic9432,308
C2xC6xDic9Direct product of C2xC6 and Dic9144C2xC6xDic9432,372
D9xC22xC6Direct product of C22xC6 and D9144D9xC2^2xC6432,556
C32xC3:C16Direct product of C32 and C3:C16144C3^2xC3:C16432,229
S3xC22xC18Direct product of C22xC18 and S3144S3xC2^2xC18432,557
Dic3xC2xC18Direct product of C2xC18 and Dic3144Dic3xC2xC18432,373
Dic3xC3xC12Direct product of C3xC12 and Dic3144Dic3xC3xC12432,471
C3xC24.S3Direct product of C3 and C24.S3144C3xC24.S3432,230
C12xC3:Dic3Direct product of C12 and C3:Dic3144C12xC3:Dic3432,487
S3xC32:4C8Direct product of S3 and C32:4C8144S3xC3^2:4C8432,430
C6xC32:4C8Direct product of C6 and C32:4C8144C6xC3^2:4C8432,485
Dic3xC3:Dic3Direct product of Dic3 and C3:Dic3144Dic3xC3:Dic3432,448
C8xC9:S3Direct product of C8 and C9:S3216C8xC9:S3432,169
C2xC4xD27Direct product of C2xC4 and D27216C2xC4xD27432,44
C23xC9:S3Direct product of C23 and C9:S3216C2^3xC9:S3432,560
C8xC33:C2Direct product of C8 and C33:C2216C8xC3^3:C2432,496
C23xC33:C2Direct product of C23 and C33:C2216C2^3xC3^3:C2432,774
C2xC27:C8Direct product of C2 and C27:C8432C2xC27:C8432,9
C4xC9:Dic3Direct product of C4 and C9:Dic3432C4xC9:Dic3432,180
C2xC36.S3Direct product of C2 and C36.S3432C2xC36.S3432,178
C2xC33:7C8Direct product of C2 and C33:7C8432C2xC3^3:7C8432,501
C4xC33:5C4Direct product of C4 and C33:5C4432C4xC3^3:5C4432,503
C22xC9:Dic3Direct product of C22 and C9:Dic3432C2^2xC9:Dic3432,396
C22xC33:5C4Direct product of C22 and C33:5C4432C2^2xC3^3:5C4432,728
C2xS33Direct product of C2, S3, S3 and S3248+C2xS3^3432,759
C2xS3xC32:C4Direct product of C2, S3 and C32:C4248+C2xS3xC3^2:C4432,753
C2xS3xC3.A4Direct product of C2, S3 and C3.A4366C2xS3xC3.A4432,541
S32xC2xC6Direct product of C2xC6, S3 and S348S3^2xC2xC6432,767
C3xS3xC3:C8Direct product of C3, S3 and C3:C8484C3xS3xC3:C8432,414
C2xC6xC32:C4Direct product of C2xC6 and C32:C448C2xC6xC3^2:C4432,765
C3xC3:S3:3C8Direct product of C3 and C3:S3:3C8484C3xC3:S3:3C8432,628
C2xC33:9(C2xC4)Direct product of C2 and C33:9(C2xC4)48C2xC3^3:9(C2xC4)432,692
C2xA4xC3:S3Direct product of C2, A4 and C3:S354C2xA4xC3:S3432,764
C4xS3xC3:S3Direct product of C4, S3 and C3:S372C4xS3xC3:S3432,670
C22xS3xC3:S3Direct product of C22, S3 and C3:S372C2^2xS3xC3:S3432,768
C2xC33:8(C2xC4)Direct product of C2 and C33:8(C2xC4)72C2xC3^3:8(C2xC4)432,679
C2xC6xC3.A4Direct product of C2xC6 and C3.A4108C2xC6xC3.A4432,548
C3xC6xC3:C8Direct product of C3xC6 and C3:C8144C3xC6xC3:C8432,469
C3:S3xC3:C8Direct product of C3:S3 and C3:C8144C3:S3xC3:C8432,431
C3:S3xC2xC12Direct product of C2xC12 and C3:S3144C3:S3xC2xC12432,711
C3:S3xC22xC6Direct product of C22xC6 and C3:S3144C3:S3xC2^2xC6432,773
C2xS3xC3:Dic3Direct product of C2, S3 and C3:Dic3144C2xS3xC3:Dic3432,674
C2xDic3xC3:S3Direct product of C2, Dic3 and C3:S3144C2xDic3xC3:S3432,677
C2xC6xC3:Dic3Direct product of C2xC6 and C3:Dic3144C2xC6xC3:Dic3432,718
C2xC4xC9:S3Direct product of C2xC4 and C9:S3216C2xC4xC9:S3432,381
C2xC4xC33:C2Direct product of C2xC4 and C33:C2216C2xC4xC3^3:C2432,721

Groups of order 433

dρLabelID
C433Cyclic group4331C433433,1

Groups of order 434

dρLabelID
C434Cyclic group4341C434434,4
D217Dihedral group2172+D217434,3
D7xC31Direct product of C31 and D72172D7xC31434,1
C7xD31Direct product of C7 and D312172C7xD31434,2

Groups of order 435

dρLabelID
C435Cyclic group4351C435435,1

Groups of order 436

dρLabelID
C436Cyclic group4361C436436,2
D218Dihedral group; = C2xD1092182+D218436,4
Dic109Dicyclic group; = C109:2C44362-Dic109436,1
C109:C4The semidirect product of C109 and C4 acting faithfully1094+C109:C4436,3
C2xC218Abelian group of type [2,218]436C2xC218436,5

Groups of order 437

dρLabelID
C437Cyclic group4371C437437,1

Groups of order 438

dρLabelID
C438Cyclic group4381C438438,6
D219Dihedral group2192+D219438,5
C73:C6The semidirect product of C73 and C6 acting faithfully736+C73:C6438,1
S3xC73Direct product of C73 and S32192S3xC73438,3
C3xD73Direct product of C3 and D732192C3xD73438,4
C2xC73:C3Direct product of C2 and C73:C31463C2xC73:C3438,2

Groups of order 439

dρLabelID
C439Cyclic group4391C439439,1

Groups of order 440

dρLabelID
C440Cyclic group4401C440440,6
C11:C40The semidirect product of C11 and C40 acting via C40/C4=C108810C11:C40440,1
D55:2C4The semidirect product of D55 and C4 acting via C4/C2=C22204+D55:2C4440,19
C55:3C81st semidirect product of C55 and C8 acting via C8/C4=C24402C55:3C8440,5
C55:C81st semidirect product of C55 and C8 acting via C8/C2=C44404C55:C8440,16
C2xC220Abelian group of type [2,220]440C2xC220440,39
C22xC110Abelian group of type [2,2,110]440C2^2xC110440,51
C4xF11Direct product of C4 and F114410C4xF11440,8
C22xF11Direct product of C22 and F1144C2^2xF11440,42
F5xD11Direct product of F5 and D11558+F5xD11440,43
F5xC22Direct product of C22 and F51104F5xC22440,45
D5xC44Direct product of C44 and D52202D5xC44440,30
C4xD55Direct product of C4 and D552202C4xD55440,35
C20xD11Direct product of C20 and D112202C20xD11440,25
Dic5xD11Direct product of Dic5 and D112204-Dic5xD11440,17
D5xDic11Direct product of D5 and Dic112204-D5xDic11440,18
C22xD55Direct product of C22 and D55220C2^2xD55440,50
Dic5xC22Direct product of C22 and Dic5440Dic5xC22440,32
C2xDic55Direct product of C2 and Dic55440C2xDic55440,37
C10xDic11Direct product of C10 and Dic11440C10xDic11440,27
C8xC11:C5Direct product of C8 and C11:C5885C8xC11:C5440,2
C2xC11:C20Direct product of C2 and C11:C2088C2xC11:C20440,10
C23xC11:C5Direct product of C23 and C11:C588C2^3xC11:C5440,44
C2xD5xD11Direct product of C2, D5 and D111104+C2xD5xD11440,47
C2xC11:F5Direct product of C2 and C11:F51104C2xC11:F5440,46
D5xC2xC22Direct product of C2xC22 and D5220D5xC2xC22440,49
C2xC10xD11Direct product of C2xC10 and D11220C2xC10xD11440,48
C5xC11:C8Direct product of C5 and C11:C84402C5xC11:C8440,4
C11xC5:C8Direct product of C11 and C5:C84404C11xC5:C8440,15
C11xC5:2C8Direct product of C11 and C5:2C84402C11xC5:2C8440,3
C2xC4xC11:C5Direct product of C2xC4 and C11:C588C2xC4xC11:C5440,12

Groups of order 441

dρLabelID
C441Cyclic group4411C441441,2
C72:3C93rd semidirect product of C72 and C9 acting via C9/C3=C3633C7^2:3C9441,7
C49:C9The semidirect product of C49 and C9 acting via C9/C3=C34413C49:C9441,1
C72:C92nd semidirect product of C72 and C9 acting via C9/C3=C3441C7^2:C9441,6
C212Abelian group of type [21,21]441C21^2441,13
C7xC63Abelian group of type [7,63]441C7xC63441,8
C3xC147Abelian group of type [3,147]441C3xC147441,4
C7xC7:C9Direct product of C7 and C7:C9633C7xC7:C9441,5
C7:C3xC21Direct product of C21 and C7:C3633C7:C3xC21441,10
C3xC72:3C3Direct product of C3 and C72:3C3633C3xC7^2:3C3441,12
C3xC49:C3Direct product of C3 and C49:C31473C3xC49:C3441,3
C3xC72:C3Direct product of C3 and C72:C3147C3xC7^2:C3441,11
C7:C32Direct product of C7:C3 and C7:C3219C7:C3^2441,9

Groups of order 442

dρLabelID
C442Cyclic group4421C442442,4
D221Dihedral group2212+D221442,3
C17xD13Direct product of C17 and D132212C17xD13442,1
C13xD17Direct product of C13 and D172212C13xD17442,2

Groups of order 443

dρLabelID
C443Cyclic group4431C443443,1

Groups of order 444

dρLabelID
C444Cyclic group4441C444444,6
D222Dihedral group; = C2xD1112222+D222444,17
Dic111Dicyclic group; = C3:Dic374442-Dic111444,5
C37:C12The semidirect product of C37 and C12 acting faithfully3712+C37:C12444,7
C37:Dic3The semidirect product of C37 and Dic3 acting via Dic3/C3=C41114C37:Dic3444,10
C37:A4The semidirect product of C37 and A4 acting via A4/C22=C31483C37:A4444,14
C74.C6The non-split extension by C74 of C6 acting faithfully1486-C74.C6444,1
C2xC222Abelian group of type [2,222]444C2xC222444,18
S3xD37Direct product of S3 and D371114+S3xD37444,11
A4xC37Direct product of C37 and A41483A4xC37444,13
S3xC74Direct product of C74 and S32222S3xC74444,16
C6xD37Direct product of C6 and D372222C6xD37444,15
Dic3xC37Direct product of C37 and Dic34442Dic3xC37444,3
C3xDic37Direct product of C3 and Dic374442C3xDic37444,4
C2xC37:C6Direct product of C2 and C37:C6746+C2xC37:C6444,8
C3xC37:C4Direct product of C3 and C37:C41114C3xC37:C4444,9
C4xC37:C3Direct product of C4 and C37:C31483C4xC37:C3444,2
C22xC37:C3Direct product of C22 and C37:C3148C2^2xC37:C3444,12

Groups of order 445

dρLabelID
C445Cyclic group4451C445445,1

Groups of order 446

dρLabelID
C446Cyclic group4461C446446,2
D223Dihedral group2232+D223446,1

Groups of order 447

dρLabelID
C447Cyclic group4471C447447,1

Groups of order 448

dρLabelID
C448Cyclic group4481C448448,2
C23:F82nd semidirect product of C23 and F8 acting via F8/C23=C7147+C2^3:F8448,1394
C43:C7The semidirect product of C43 and C7 acting faithfully287C4^3:C7448,178
C26:C72nd semidirect product of C26 and C7 acting faithfully28C2^6:C7448,1393
C7:C64The semidirect product of C7 and C64 acting via C64/C32=C24482C7:C64448,1
C8xC56Abelian group of type [8,56]448C8xC56448,125
C4xC112Abelian group of type [4,112]448C4xC112448,149
C2xC224Abelian group of type [2,224]448C2xC224448,173
C42xC28Abelian group of type [4,4,28]448C4^2xC28448,782
C23xC56Abelian group of type [2,2,2,56]448C2^3xC56448,1348
C24xC28Abelian group of type [2,2,2,2,28]448C2^4xC28448,1385
C25xC14Abelian group of type [2,2,2,2,2,14]448C2^5xC14448,1396
C22xC112Abelian group of type [2,2,112]448C2^2xC112448,910
C2xC4xC56Abelian group of type [2,4,56]448C2xC4xC56448,810
C22xC4xC28Abelian group of type [2,2,4,28]448C2^2xC4xC28448,1294
C8xF8Direct product of C8 and F8567C8xF8448,919
C23xF8Direct product of C23 and F856C2^3xF8448,1392
D7xC32Direct product of C32 and D72242D7xC32448,3
D7xC25Direct product of C25 and D7224D7xC2^5448,1395
C16xDic7Direct product of C16 and Dic7448C16xDic7448,57
C42xDic7Direct product of C42 and Dic7448C4^2xDic7448,464
C24xDic7Direct product of C24 and Dic7448C2^4xDic7448,1383
C2xC4xF8Direct product of C2xC4 and F856C2xC4xF8448,1362
D7xC4xC8Direct product of C4xC8 and D7224D7xC4xC8448,218
D7xC2xC16Direct product of C2xC16 and D7224D7xC2xC16448,433
D7xC2xC42Direct product of C2xC42 and D7224D7xC2xC4^2448,924
D7xC22xC8Direct product of C22xC8 and D7224D7xC2^2xC8448,1189
D7xC23xC4Direct product of C23xC4 and D7224D7xC2^3xC4448,1366
C8xC7:C8Direct product of C8 and C7:C8448C8xC7:C8448,10
C4xC7:C16Direct product of C4 and C7:C16448C4xC7:C16448,17
C2xC7:C32Direct product of C2 and C7:C32448C2xC7:C32448,55
C23xC7:C8Direct product of C23 and C7:C8448C2^3xC7:C8448,1233
C2xC8xDic7Direct product of C2xC8 and Dic7448C2xC8xDic7448,632
C22xC7:C16Direct product of C22 and C7:C16448C2^2xC7:C16448,630
C22xC4xDic7Direct product of C22xC4 and Dic7448C2^2xC4xDic7448,1235
C2xC4xC7:C8Direct product of C2xC4 and C7:C8448C2xC4xC7:C8448,454

Groups of order 449

dρLabelID
C449Cyclic group4491C449449,1

Groups of order 450

dρLabelID
C450Cyclic group4501C450450,4
D225Dihedral group2252+D225450,3
C52:D9The semidirect product of C52 and D9 acting via D9/C3=S3456+C5^2:D9450,11
C52:C18The semidirect product of C52 and C18 acting via C18/C3=C6456C5^2:C18450,12
C3:D75The semidirect product of C3 and D75 acting via D75/C75=C2225C3:D75450,9
C5:D45The semidirect product of C5 and D45 acting via D45/C45=C2225C5:D45450,18
C15:D151st semidirect product of C15 and D15 acting via D15/C15=C2225C15:D15450,33
C5:D15:C3The semidirect product of C5:D15 and C3 acting faithfully456+C5:D15:C3450,24
C52:(C3:S3)The semidirect product of C52 and C3:S3 acting via C3:S3/C3=S3456+C5^2:(C3:S3)450,21
C5xC90Abelian group of type [5,90]450C5xC90450,19
C3xC150Abelian group of type [3,150]450C3xC150450,10
C15xC30Abelian group of type [15,30]450C15xC30450,34
C15xD15Direct product of C15 and D15302C15xD15450,29
D5xC45Direct product of C45 and D5902D5xC45450,14
C5xD45Direct product of C5 and D45902C5xD45450,17
S3xC75Direct product of C75 and S31502S3xC75450,6
C3xD75Direct product of C3 and D751502C3xD75450,7
D9xC25Direct product of C25 and D92252D9xC25450,1
C9xD25Direct product of C9 and D252252C9xD25450,2
D9xC52Direct product of C52 and D9225D9xC5^2450,16
C32xD25Direct product of C32 and D25225C3^2xD25450,5
C3xC52:S3Direct product of C3 and C52:S3453C3xC5^2:S3450,20
C3xC52:C6Direct product of C3 and C52:C6456C3xC5^2:C6450,22
S3xC52:C3Direct product of S3 and C52:C3456S3xC5^2:C3450,23
D5xC3xC15Direct product of C3xC15 and D590D5xC3xC15450,26
C5xC3:D15Direct product of C5 and C3:D1590C5xC3:D15450,32
C2xC52:C9Direct product of C2 and C52:C9903C2xC5^2:C9450,13
C6xC52:C3Direct product of C6 and C52:C3903C6xC5^2:C3450,25
S3xC5xC15Direct product of C5xC15 and S3150S3xC5xC15450,28
C3xC5:D15Direct product of C3 and C5:D15150C3xC5:D15450,30
C9xC5:D5Direct product of C9 and C5:D5225C9xC5:D5450,15
C3:S3xC25Direct product of C25 and C3:S3225C3:S3xC25450,8
C3:S3xC52Direct product of C52 and C3:S3225C3:S3xC5^2450,31
C32xC5:D5Direct product of C32 and C5:D5225C3^2xC5:D5450,27

Groups of order 451

dρLabelID
C451Cyclic group4511C451451,1

Groups of order 452

dρLabelID
C452Cyclic group4521C452452,2
D226Dihedral group; = C2xD1132262+D226452,4
Dic113Dicyclic group; = C113:2C44522-Dic113452,1
C113:C4The semidirect product of C113 and C4 acting faithfully1134+C113:C4452,3
C2xC226Abelian group of type [2,226]452C2xC226452,5

Groups of order 453

dρLabelID
C453Cyclic group4531C453453,2
C151:C3The semidirect product of C151 and C3 acting faithfully1513C151:C3453,1

Groups of order 454

dρLabelID
C454Cyclic group4541C454454,2
D227Dihedral group2272+D227454,1

Groups of order 455

dρLabelID
C455Cyclic group4551C455455,1

Groups of order 456

dρLabelID
C456Cyclic group4561C456456,6
D19:A4The semidirect product of D19 and A4 acting via A4/C22=C3766+D19:A4456,46
C19:C24The semidirect product of C19 and C24 acting via C24/C4=C61526C19:C24456,1
D57:C4The semidirect product of D57 and C4 acting via C4/C2=C22284+D57:C4456,14
C57:C81st semidirect product of C57 and C8 acting via C8/C4=C24562C57:C8456,5
C2xC228Abelian group of type [2,228]456C2xC228456,39
C22xC114Abelian group of type [2,2,114]456C2^2xC114456,54
A4xD19Direct product of A4 and D19766+A4xD19456,45
A4xC38Direct product of C38 and A41143A4xC38456,49
S3xC76Direct product of C76 and S32282S3xC76456,30
C4xD57Direct product of C4 and D572282C4xD57456,35
C12xD19Direct product of C12 and D192282C12xD19456,25
Dic3xD19Direct product of Dic3 and D192284-Dic3xD19456,12
S3xDic19Direct product of S3 and Dic192284-S3xDic19456,13
C22xD57Direct product of C22 and D57228C2^2xD57456,53
C6xDic19Direct product of C6 and Dic19456C6xDic19456,27
Dic3xC38Direct product of C38 and Dic3456Dic3xC38456,32
C2xDic57Direct product of C2 and Dic57456C2xDic57456,37
C4xC19:C6Direct product of C4 and C19:C6766C4xC19:C6456,8
C22xC19:C6Direct product of C22 and C19:C676C2^2xC19:C6456,44
C2xC19:A4Direct product of C2 and C19:A41143C2xC19:A4456,50
C2xS3xD19Direct product of C2, S3 and D191144+C2xS3xD19456,47
C8xC19:C3Direct product of C8 and C19:C31523C8xC19:C3456,2
C2xC19:C12Direct product of C2 and C19:C12152C2xC19:C12456,10
C23xC19:C3Direct product of C23 and C19:C3152C2^3xC19:C3456,48
S3xC2xC38Direct product of C2xC38 and S3228S3xC2xC38456,52
C2xC6xD19Direct product of C2xC6 and D19228C2xC6xD19456,51
C19xC3:C8Direct product of C19 and C3:C84562C19xC3:C8456,3
C3xC19:C8Direct product of C3 and C19:C84562C3xC19:C8456,4
C2xC4xC19:C3Direct product of C2xC4 and C19:C3152C2xC4xC19:C3456,19

Groups of order 457

dρLabelID
C457Cyclic group4571C457457,1

Groups of order 458

dρLabelID
C458Cyclic group4581C458458,2
D229Dihedral group2292+D229458,1

Groups of order 459

dρLabelID
C459Cyclic group4591C459459,1
C3xC153Abelian group of type [3,153]459C3xC153459,2
C32xC51Abelian group of type [3,3,51]459C3^2xC51459,5

Groups of order 460

dρLabelID
C460Cyclic group4601C460460,4
D230Dihedral group; = C2xD1152302+D230460,10
Dic115Dicyclic group; = C23:Dic54602-Dic115460,3
C23:F5The semidirect product of C23 and F5 acting via F5/D5=C21154C23:F5460,6
C2xC230Abelian group of type [2,230]460C2xC230460,11
D5xD23Direct product of D5 and D231154+D5xD23460,7
F5xC23Direct product of C23 and F51154F5xC23460,5
D5xC46Direct product of C46 and D52302D5xC46460,9
C10xD23Direct product of C10 and D232302C10xD23460,8
Dic5xC23Direct product of C23 and Dic54602Dic5xC23460,1
C5xDic23Direct product of C5 and Dic234602C5xDic23460,2

Groups of order 461

dρLabelID
C461Cyclic group4611C461461,1

Groups of order 462

dρLabelID
C462Cyclic group4621C462462,12
D231Dihedral group2312+D231462,11
C11:F7The semidirect product of C11 and F7 acting via F7/C7:C3=C2776+C11:F7462,3
C11xF7Direct product of C11 and F7776C11xF7462,2
S3xC77Direct product of C77 and S32312S3xC77462,8
D7xC33Direct product of C33 and D72312D7xC33462,6
C3xD77Direct product of C3 and D772312C3xD77462,7
C7xD33Direct product of C7 and D332312C7xD33462,9
C21xD11Direct product of C21 and D112312C21xD11462,5
C11xD21Direct product of C11 and D212312C11xD21462,10
C7:C3xD11Direct product of C7:C3 and D11776C7:C3xD11462,1
C7:C3xC22Direct product of C22 and C7:C31543C7:C3xC22462,4

Groups of order 463

dρLabelID
C463Cyclic group4631C463463,1

Groups of order 464

dρLabelID
C464Cyclic group4641C464464,2
D29:C8The semidirect product of D29 and C8 acting via C8/C4=C22324D29:C8464,28
C29:C16The semidirect product of C29 and C16 acting via C16/C4=C44644C29:C16464,3
C29:2C16The semidirect product of C29 and C16 acting via C16/C8=C24642C29:2C16464,1
C4xC116Abelian group of type [4,116]464C4xC116464,20
C2xC232Abelian group of type [2,232]464C2xC232464,23
C23xC58Abelian group of type [2,2,2,58]464C2^3xC58464,51
C22xC116Abelian group of type [2,2,116]464C2^2xC116464,45
C8xD29Direct product of C8 and D292322C8xD29464,4
C23xD29Direct product of C23 and D29232C2^3xD29464,50
C4xDic29Direct product of C4 and Dic29464C4xDic29464,11
C22xDic29Direct product of C22 and Dic29464C2^2xDic29464,43
C4xC29:C4Direct product of C4 and C29:C41164C4xC29:C4464,30
C22xC29:C4Direct product of C22 and C29:C4116C2^2xC29:C4464,49
C2xC4xD29Direct product of C2xC4 and D29232C2xC4xD29464,36
C2xC29:C8Direct product of C2 and C29:C8464C2xC29:C8464,32
C2xC29:2C8Direct product of C2 and C29:2C8464C2xC29:2C8464,9

Groups of order 465

dρLabelID
C465Cyclic group4651C465465,4
C31:C15The semidirect product of C31 and C15 acting faithfully3115C31:C15465,1
C3xC31:C5Direct product of C3 and C31:C5935C3xC31:C5465,2
C5xC31:C3Direct product of C5 and C31:C31553C5xC31:C3465,3

Groups of order 466

dρLabelID
C466Cyclic group4661C466466,2
D233Dihedral group2332+D233466,1

Groups of order 467

dρLabelID
C467Cyclic group4671C467467,1

Groups of order 468

dρLabelID
C468Cyclic group4681C468468,6
D234Dihedral group; = C2xD1172342+D234468,17
Dic117Dicyclic group; = C9:Dic134682-Dic117468,5
C3:F13The semidirect product of C3 and F13 acting via F13/C13:C6=C23912C3:F13468,30
D39:S3The semidirect product of D39 and S3 acting via S3/C3=C2784D39:S3468,46
C32:Dic13The semidirect product of C32 and Dic13 acting via Dic13/C13=C4784C3^2:Dic13468,40
C13:C36The semidirect product of C13 and C36 acting via C36/C3=C1211712C13:C36468,7
C13:Dic9The semidirect product of C13 and Dic9 acting via Dic9/C9=C41174C13:Dic9468,10
C39:Dic31st semidirect product of C39 and Dic3 acting via Dic3/C3=C4117C39:Dic3468,38
C39:3C121st semidirect product of C39 and C12 acting via C12/C2=C61566-C39:3C12468,21
C13:2C36The semidirect product of C13 and C36 acting via C36/C6=C64686C13:2C36468,1
C3:Dic39The semidirect product of C3 and Dic39 acting via Dic39/C78=C2468C3:Dic39468,27
(C3xC39):C41st semidirect product of C3xC39 and C4 acting faithfully784+(C3xC39):C4468,41
C39.A4The non-split extension by C39 of A4 acting via A4/C22=C32343C39.A4468,14
C6xC78Abelian group of type [6,78]468C6xC78468,55
C2xC234Abelian group of type [2,234]468C2xC234468,18
C3xC156Abelian group of type [3,156]468C3xC156468,28
C3xF13Direct product of C3 and F133912C3xF13468,29
S3xD39Direct product of S3 and D39784+S3xD39468,45
D9xD13Direct product of D9 and D131174+D9xD13468,11
S3xC78Direct product of C78 and S31562S3xC78468,51
A4xC39Direct product of C39 and A41563A4xC39468,48
C6xD39Direct product of C6 and D391562C6xD39468,52
Dic3xC39Direct product of C39 and Dic31562Dic3xC39468,24
C3xDic39Direct product of C3 and Dic391562C3xDic39468,25
D9xC26Direct product of C26 and D92342D9xC26468,16
C18xD13Direct product of C18 and D132342C18xD13468,15
C13xDic9Direct product of C13 and Dic94682C13xDic9468,3
C9xDic13Direct product of C9 and Dic134682C9xDic13468,4
C32xDic13Direct product of C32 and Dic13468C3^2xDic13468,23
S3xC13:C6Direct product of S3 and C13:C63912+S3xC13:C6468,31
A4xC13:C3Direct product of A4 and C13:C3529A4xC13:C3468,32
S32xC13Direct product of C13, S3 and S3784S3^2xC13468,44
C6xC13:C6Direct product of C6 and C13:C6786C6xC13:C6468,33
C3xS3xD13Direct product of C3, S3 and D13784C3xS3xD13468,42
C3xC39:C4Direct product of C3 and C39:C4784C3xC39:C4468,37
C2xD39:C3Direct product of C2 and D39:C3786+C2xD39:C3468,35
C13xC32:C4Direct product of C13 and C32:C4784C13xC3^2:C4468,39
C9xC13:C4Direct product of C9 and C13:C41174C9xC13:C4468,9
C3:S3xD13Direct product of C3:S3 and D13117C3:S3xD13468,43
C32xC13:C4Direct product of C32 and C13:C4117C3^2xC13:C4468,36
C3xC13:A4Direct product of C3 and C13:A41563C3xC13:A4468,49
C12xC13:C3Direct product of C12 and C13:C31563C12xC13:C3468,22
C3xC26.C6Direct product of C3 and C26.C61566C3xC26.C6468,19
Dic3xC13:C3Direct product of Dic3 and C13:C31566Dic3xC13:C3468,20
C3xC6xD13Direct product of C3xC6 and D13234C3xC6xD13468,50
C2xC13:C18Direct product of C2 and C13:C182346C2xC13:C18468,8
C3:S3xC26Direct product of C26 and C3:S3234C3:S3xC26468,53
C2xC3:D39Direct product of C2 and C3:D39234C2xC3:D39468,54
C13xC3.A4Direct product of C13 and C3.A42343C13xC3.A4468,13
C4xC13:C9Direct product of C4 and C13:C94683C4xC13:C9468,2
C22xC13:C9Direct product of C22 and C13:C9468C2^2xC13:C9468,12
C13xC3:Dic3Direct product of C13 and C3:Dic3468C13xC3:Dic3468,26
C2xS3xC13:C3Direct product of C2, S3 and C13:C3786C2xS3xC13:C3468,34
C2xC6xC13:C3Direct product of C2xC6 and C13:C3156C2xC6xC13:C3468,47

Groups of order 469

dρLabelID
C469Cyclic group4691C469469,1

Groups of order 470

dρLabelID
C470Cyclic group4701C470470,4
D235Dihedral group2352+D235470,3
D5xC47Direct product of C47 and D52352D5xC47470,1
C5xD47Direct product of C5 and D472352C5xD47470,2

Groups of order 471

dρLabelID
C471Cyclic group4711C471471,2
C157:C3The semidirect product of C157 and C3 acting faithfully1573C157:C3471,1

Groups of order 472

dρLabelID
C472Cyclic group4721C472472,2
C59:C8The semidirect product of C59 and C8 acting via C8/C4=C24722C59:C8472,1
C2xC236Abelian group of type [2,236]472C2xC236472,8
C22xC118Abelian group of type [2,2,118]472C2^2xC118472,12
C4xD59Direct product of C4 and D592362C4xD59472,4
C22xD59Direct product of C22 and D59236C2^2xD59472,11
C2xDic59Direct product of C2 and Dic59472C2xDic59472,6

Groups of order 473

dρLabelID
C473Cyclic group4731C473473,1

Groups of order 474

dρLabelID
C474Cyclic group4741C474474,6
D237Dihedral group2372+D237474,5
C79:C6The semidirect product of C79 and C6 acting faithfully796+C79:C6474,1
S3xC79Direct product of C79 and S32372S3xC79474,3
C3xD79Direct product of C3 and D792372C3xD79474,4
C2xC79:C3Direct product of C2 and C79:C31583C2xC79:C3474,2

Groups of order 475

dρLabelID
C475Cyclic group4751C475475,1
C5xC95Abelian group of type [5,95]475C5xC95475,2

Groups of order 476

dρLabelID
C476Cyclic group4761C476476,4
D238Dihedral group; = C2xD1192382+D238476,10
Dic119Dicyclic group; = C7:Dic174762-Dic119476,3
C17:Dic7The semidirect product of C17 and Dic7 acting via Dic7/C7=C41194C17:Dic7476,6
C2xC238Abelian group of type [2,238]476C2xC238476,11
D7xD17Direct product of D7 and D171194+D7xD17476,7
D7xC34Direct product of C34 and D72382D7xC34476,9
C14xD17Direct product of C14 and D172382C14xD17476,8
C17xDic7Direct product of C17 and Dic74762C17xDic7476,1
C7xDic17Direct product of C7 and Dic174762C7xDic17476,2
C7xC17:C4Direct product of C7 and C17:C41194C7xC17:C4476,5

Groups of order 477

dρLabelID
C477Cyclic group4771C477477,1
C3xC159Abelian group of type [3,159]477C3xC159477,2

Groups of order 478

dρLabelID
C478Cyclic group4781C478478,2
D239Dihedral group2392+D239478,1

Groups of order 479

dρLabelID
C479Cyclic group4791C479479,1

Groups of order 480

dρLabelID
C480Cyclic group4801C480480,4
D15:C16The semidirect product of D15 and C16 acting via C16/C4=C42408D15:C16480,240
D15:2C16The semidirect product of D15 and C16 acting via C16/C8=C22404D15:2C16480,9
C15:3C321st semidirect product of C15 and C32 acting via C32/C16=C24802C15:3C32480,3
C15:C321st semidirect product of C15 and C32 acting via C32/C8=C44804C15:C32480,6
Dic15:4C82nd semidirect product of Dic15 and C8 acting via C8/C4=C2480Dic15:4C8480,27
C30.C422nd non-split extension by C30 of C42 acting via C42/C2=C2xC41208C30.C4^2480,224
C24.F55th non-split extension by C24 of F5 acting via F5/D5=C22404C24.F5480,294
C4xC120Abelian group of type [4,120]480C4xC120480,199
C2xC240Abelian group of type [2,240]480C2xC240480,212
C23xC60Abelian group of type [2,2,2,60]480C2^3xC60480,1180
C24xC30Abelian group of type [2,2,2,2,30]480C2^4xC30480,1213
C22xC120Abelian group of type [2,2,120]480C2^2xC120480,934
C2xC4xC60Abelian group of type [2,4,60]480C2xC4xC60480,919
C2xF16Direct product of C2 and F163015+C2xF16480,1190
C8xA5Direct product of C8 and A5403C8xA5480,220
C23xA5Direct product of C23 and A540C2^3xA5480,1187
A4xC40Direct product of C40 and A41203A4xC40480,659
F5xC24Direct product of C24 and F51204F5xC24480,271
S3xC80Direct product of C80 and S32402S3xC80480,116
D5xC48Direct product of C48 and D52402D5xC48480,75
C16xD15Direct product of C16 and D152402C16xD15480,157
C42xD15Direct product of C42 and D15240C4^2xD15480,836
C24xD15Direct product of C24 and D15240C2^4xD15480,1212
Dic5xC24Direct product of C24 and Dic5480Dic5xC24480,91
Dic3xC40Direct product of C40 and Dic3480Dic3xC40480,132
C8xDic15Direct product of C8 and Dic15480C8xDic15480,173
C23xDic15Direct product of C23 and Dic15480C2^3xDic15480,1178
C2xA4xF5Direct product of C2, A4 and F53012+C2xA4xF5480,1192
S3xC24:C5Direct product of S3 and C24:C53010+S3xC2^4:C5480,1196
C6xC24:C5Direct product of C6 and C24:C5305C6xC2^4:C5480,1204
C2xC4xA5Direct product of C2xC4 and A540C2xC4xA5480,954
C4xD5xA4Direct product of C4, D5 and A4606C4xD5xA4480,1036
C4xS3xF5Direct product of C4, S3 and F5608C4xS3xF5480,994
D5xC42:C3Direct product of D5 and C42:C3606D5xC4^2:C3480,264
C22xD5xA4Direct product of C22, D5 and A460C2^2xD5xA4480,1202
C22xS3xF5Direct product of C22, S3 and F560C2^2xS3xF5480,1197
C10xC42:C3Direct product of C10 and C42:C3603C10xC4^2:C3480,654
D5xC22:A4Direct product of D5 and C22:A460D5xC2^2:A4480,1203
C10xC22:A4Direct product of C10 and C22:A460C10xC2^2:A4480,1209
A4xC5:C8Direct product of A4 and C5:C812012-A4xC5:C8480,966
S3xC8xD5Direct product of C8, S3 and D51204S3xC8xD5480,319
F5xC3:C8Direct product of F5 and C3:C81208F5xC3:C8480,223
C8xC3:F5Direct product of C8 and C3:F51204C8xC3:F5480,296
A4xC2xC20Direct product of C2xC20 and A4120A4xC2xC20480,1126
F5xC2xC12Direct product of C2xC12 and F5120F5xC2xC12480,1050
A4xC5:2C8Direct product of A4 and C5:2C81206A4xC5:2C8480,265
S3xD5:C8Direct product of S3 and D5:C81208S3xD5:C8480,986
C2xDic3xF5Direct product of C2, Dic3 and F5120C2xDic3xF5480,998
C2xA4xDic5Direct product of C2, A4 and Dic5120C2xA4xDic5480,1044
S3xC23xD5Direct product of C23, S3 and D5120S3xC2^3xD5480,1207
C23xC3:F5Direct product of C23 and C3:F5120C2^3xC3:F5480,1206
F5xC22xC6Direct product of C22xC6 and F5120F5xC2^2xC6480,1205
A4xC22xC10Direct product of C22xC10 and A4120A4xC2^2xC10480,1208
S3xC5:C16Direct product of S3 and C5:C162408S3xC5:C16480,239
S3xC4xC20Direct product of C4xC20 and S3240S3xC4xC20480,750
S3xC2xC40Direct product of C2xC40 and S3240S3xC2xC40480,778
D5xC3:C16Direct product of D5 and C3:C162404D5xC3:C16480,7
D5xC4xC12Direct product of C4xC12 and D5240D5xC4xC12480,664
D5xC2xC24Direct product of C2xC24 and D5240D5xC2xC24480,692
C2xC8xD15Direct product of C2xC8 and D15240C2xC8xD15480,864
C6xD5:C8Direct product of C6 and D5:C8240C6xD5:C8480,1047
C4xD5xDic3Direct product of C4, D5 and Dic3240C4xD5xDic3480,467
C4xS3xDic5Direct product of C4, S3 and Dic5240C4xS3xDic5480,473
D5xC23xC6Direct product of C23xC6 and D5240D5xC2^3xC6480,1210
S3xC5:2C16Direct product of S3 and C5:2C162404S3xC5:2C16480,8
C3xD5:C16Direct product of C3 and D5:C162404C3xD5:C16480,269
C2xD15:C8Direct product of C2 and D15:C8240C2xD15:C8480,1006
S3xC22xC20Direct product of C22xC20 and S3240S3xC2^2xC20480,1151
S3xC23xC10Direct product of C23xC10 and S3240S3xC2^3xC10480,1211
D5xC22xC12Direct product of C22xC12 and D5240D5xC2^2xC12480,1136
C22xC4xD15Direct product of C22xC4 and D15240C2^2xC4xD15480,1166
C2xC60.C4Direct product of C2 and C60.C4240C2xC60.C4480,1060
C4xD30.C2Direct product of C4 and D30.C2240C4xD30.C2480,477
C2xD15:2C8Direct product of C2 and D15:2C8240C2xD15:2C8480,365
C22xD5xDic3Direct product of C22, D5 and Dic3240C2^2xD5xDic3480,1112
C22xS3xDic5Direct product of C22, S3 and Dic5240C2^2xS3xDic5480,1115
C22xD30.C2Direct product of C22 and D30.C2240C2^2xD30.C2480,1117
C5xC3:C32Direct product of C5 and C3:C324802C5xC3:C32480,1
C3xC5:C32Direct product of C3 and C5:C324804C3xC5:C32480,5
C20xC3:C8Direct product of C20 and C3:C8480C20xC3:C8480,121
C6xC5:C16Direct product of C6 and C5:C16480C6xC5:C16480,277
C12xC5:C8Direct product of C12 and C5:C8480C12xC5:C8480,280
C10xC3:C16Direct product of C10 and C3:C16480C10xC3:C16480,130
C4xC15:C8Direct product of C4 and C15:C8480C4xC15:C8480,305
Dic5xC3:C8Direct product of Dic5 and C3:C8480Dic5xC3:C8480,25
Dic3xC5:C8Direct product of Dic3 and C5:C8480Dic3xC5:C8480,244
C3xC5:2C32Direct product of C3 and C5:2C324802C3xC5:2C32480,2
C12xC5:2C8Direct product of C12 and C5:2C8480C12xC5:2C8480,80
C6xC5:2C16Direct product of C6 and C5:2C16480C6xC5:2C16480,89
C4xC15:3C8Direct product of C4 and C15:3C8480C4xC15:3C8480,162
C2xC15:C16Direct product of C2 and C15:C16480C2xC15:C16480,302
Dic5xC2xC12Direct product of C2xC12 and Dic5480Dic5xC2xC12480,715
Dic3xC2xC20Direct product of C2xC20 and Dic3480Dic3xC2xC20480,801
C2xC4xDic15Direct product of C2xC4 and Dic15480C2xC4xDic15480,887
C2xC15:3C16Direct product of C2 and C15:3C16480C2xC15:3C16480,171
C22xC15:C8Direct product of C22 and C15:C8480C2^2xC15:C8480,1070
C2xDic3xDic5Direct product of C2, Dic3 and Dic5480C2xDic3xDic5480,603
Dic3xC5:2C8Direct product of Dic3 and C5:2C8480Dic3xC5:2C8480,26
Dic5xC22xC6Direct product of C22xC6 and Dic5480Dic5xC2^2xC6480,1148
C22xC15:3C8Direct product of C22 and C15:3C8480C2^2xC15:3C8480,885
Dic3xC22xC10Direct product of C22xC10 and Dic3480Dic3xC2^2xC10480,1163
S3xC2xC4xD5Direct product of C2xC4, S3 and D5120S3xC2xC4xD5480,1086
C2xC4xC3:F5Direct product of C2xC4 and C3:F5120C2xC4xC3:F5480,1063
C2xS3xC5:C8Direct product of C2, S3 and C5:C8240C2xS3xC5:C8480,1002
C2xD5xC3:C8Direct product of C2, D5 and C3:C8240C2xD5xC3:C8480,357
C2xS3xC5:2C8Direct product of C2, S3 and C5:2C8240C2xS3xC5:2C8480,361
C2xC6xC5:C8Direct product of C2xC6 and C5:C8480C2xC6xC5:C8480,1057
C2xC10xC3:C8Direct product of C2xC10 and C3:C8480C2xC10xC3:C8480,799
C2xC6xC5:2C8Direct product of C2xC6 and C5:2C8480C2xC6xC5:2C8480,713

Groups of order 481

dρLabelID
C481Cyclic group4811C481481,1

Groups of order 482

dρLabelID
C482Cyclic group4821C482482,2
D241Dihedral group2412+D241482,1

Groups of order 483

dρLabelID
C483Cyclic group4831C483483,2
C7:C3xC23Direct product of C23 and C7:C31613C7:C3xC23483,1

Groups of order 484

dρLabelID
C484Cyclic group4841C484484,2
D242Dihedral group; = C2xD1212422+D242484,3
Dic121Dicyclic group; = C121:C44842-Dic121484,1
C112:C4The semidirect product of C112 and C4 acting faithfully224+C11^2:C4484,8
C11:Dic11The semidirect product of C11 and Dic11 acting via Dic11/C22=C2484C11:Dic11484,6
C222Abelian group of type [22,22]484C22^2484,12
C2xC242Abelian group of type [2,242]484C2xC242484,4
C11xC44Abelian group of type [11,44]484C11xC44484,7
D112Direct product of D11 and D11224+D11^2484,9
D11xC22Direct product of C22 and D11442D11xC22484,10
C11xDic11Direct product of C11 and Dic11442C11xDic11484,5
C2xC11:D11Direct product of C2 and C11:D11242C2xC11:D11484,11

Groups of order 485

dρLabelID
C485Cyclic group4851C485485,1

Groups of order 486

dρLabelID
C486Cyclic group4861C486486,2
D243Dihedral group2432+D243486,1
C81:S3The semidirect product of C81 and S3 acting via S3/C3=C2243C81:S3486,60
C9:D27The semidirect product of C9 and D27 acting via D27/C27=C2243C9:D27486,50
C35:C25th semidirect product of C35 and C2 acting faithfully243C3^5:C2486,260
C92:8S32nd semidirect product of C92 and S3 acting via S3/C3=C2243C9^2:8S3486,180
C33:9D93rd semidirect product of C33 and D9 acting via D9/C9=C2243C3^3:9D9486,247
C32:4D272nd semidirect product of C32 and D27 acting via D27/C27=C2243C3^2:4D27486,184
C9xC54Abelian group of type [9,54]486C9xC54486,70
C3xC162Abelian group of type [3,162]486C3xC162486,83
C34xC6Abelian group of type [3,3,3,3,6]486C3^4xC6486,261
C32xC54Abelian group of type [3,3,54]486C3^2xC54486,207
C33xC18Abelian group of type [3,3,3,18]486C3^3xC18486,250
C3xC9xC18Abelian group of type [3,9,18]486C3xC9xC18486,190
C9xD27Direct product of C9 and D27542C9xD27486,13
D9xC27Direct product of C27 and D9542D9xC27486,14
S3xC81Direct product of C81 and S31622S3xC81486,33
C3xD81Direct product of C3 and D811622C3xD81486,32
S3xC92Direct product of C92 and S3162S3xC9^2486,92
S3xC34Direct product of C34 and S3162S3xC3^4486,256
D9xC33Direct product of C33 and D9162D9xC3^3486,220
C32xD27Direct product of C32 and D27162C3^2xD27486,111
D9xC3xC9Direct product of C3xC9 and D954D9xC3xC9486,91
C9xC9:S3Direct product of C9 and C9:S354C9xC9:S3486,133
C32xC9:S3Direct product of C32 and C9:S354C3^2xC9:S3486,227
C3:S3xC33Direct product of C33 and C3:S354C3:S3xC3^3486,257
C32xC33:C2Direct product of C32 and C33:C254C3^2xC3^3:C2486,258
S3xC3xC27Direct product of C3xC27 and S3162S3xC3xC27486,112
C3xC9:D9Direct product of C3 and C9:D9162C3xC9:D9486,134
C3xC27:S3Direct product of C3 and C27:S3162C3xC27:S3486,160
C3:S3xC27Direct product of C27 and C3:S3162C3:S3xC27486,161
S3xC32xC9Direct product of C32xC9 and S3162S3xC3^2xC9486,221
C9xC33:C2Direct product of C9 and C33:C2162C9xC3^3:C2486,241
C3xC34:C2Direct product of C3 and C34:C2162C3xC3^4:C2486,259
C3xC32:4D9Direct product of C3 and C32:4D9162C3xC3^2:4D9486,240
C3:S3xC3xC9Direct product of C3xC9 and C3:S354C3:S3xC3xC9486,228

Groups of order 487

dρLabelID
C487Cyclic group4871C487487,1

Groups of order 488

dρLabelID
C488Cyclic group4881C488488,2
C61:C8The semidirect product of C61 and C8 acting via C8/C2=C44884-C61:C8488,3
C61:2C8The semidirect product of C61 and C8 acting via C8/C4=C24882C61:2C8488,1
C2xC244Abelian group of type [2,244]488C2xC244488,9
C22xC122Abelian group of type [2,2,122]488C2^2xC122488,14
C4xD61Direct product of C4 and D612442C4xD61488,5
C22xD61Direct product of C22 and D61244C2^2xD61488,13
C2xDic61Direct product of C2 and Dic61488C2xDic61488,7
C2xC61:C4Direct product of C2 and C61:C41224+C2xC61:C4488,12

Groups of order 489

dρLabelID
C489Cyclic group4891C489489,2
C163:C3The semidirect product of C163 and C3 acting faithfully1633C163:C3489,1

Groups of order 490

dρLabelID
C490Cyclic group4901C490490,4
D245Dihedral group2452+D245490,3
C7:D35The semidirect product of C7 and D35 acting via D35/C35=C2245C7:D35490,9
C7xC70Abelian group of type [7,70]490C7xC70490,10
D7xC35Direct product of C35 and D7702D7xC35490,5
C7xD35Direct product of C7 and D35702C7xD35490,8
D5xC49Direct product of C49 and D52452D5xC49490,1
C5xD49Direct product of C5 and D492452C5xD49490,2
D5xC72Direct product of C72 and D5245D5xC7^2490,7
C5xC7:D7Direct product of C5 and C7:D7245C5xC7:D7490,6

Groups of order 491

dρLabelID
C491Cyclic group4911C491491,1

Groups of order 492

dρLabelID
C492Cyclic group4921C492492,4
D246Dihedral group; = C2xD1232462+D246492,11
Dic123Dicyclic group; = C3:Dic414922-Dic123492,3
C41:Dic3The semidirect product of C41 and Dic3 acting via Dic3/C3=C41234C41:Dic3492,6
C2xC246Abelian group of type [2,246]492C2xC246492,12
S3xD41Direct product of S3 and D411234+S3xD41492,7
A4xC41Direct product of C41 and A41643A4xC41492,8
S3xC82Direct product of C82 and S32462S3xC82492,10
C6xD41Direct product of C6 and D412462C6xD41492,9
Dic3xC41Direct product of C41 and Dic34922Dic3xC41492,1
C3xDic41Direct product of C3 and Dic414922C3xDic41492,2
C3xC41:C4Direct product of C3 and C41:C41234C3xC41:C4492,5

Groups of order 493

dρLabelID
C493Cyclic group4931C493493,1

Groups of order 494

dρLabelID
C494Cyclic group4941C494494,4
D247Dihedral group2472+D247494,3
C19xD13Direct product of C19 and D132472C19xD13494,1
C13xD19Direct product of C13 and D192472C13xD19494,2

Groups of order 495

dρLabelID
C495Cyclic group4951C495495,2
C3xC165Abelian group of type [3,165]495C3xC165495,4
C9xC11:C5Direct product of C9 and C11:C5995C9xC11:C5495,1
C32xC11:C5Direct product of C32 and C11:C599C3^2xC11:C5495,3

Groups of order 496

dρLabelID
C496Cyclic group4961C496496,2
C31:C16The semidirect product of C31 and C16 acting via C16/C8=C24962C31:C16496,1
C4xC124Abelian group of type [4,124]496C4xC124496,19
C2xC248Abelian group of type [2,248]496C2xC248496,22
C23xC62Abelian group of type [2,2,2,62]496C2^3xC62496,42
C22xC124Abelian group of type [2,2,124]496C2^2xC124496,37
C8xD31Direct product of C8 and D312482C8xD31496,3
C23xD31Direct product of C23 and D31248C2^3xD31496,41
C4xDic31Direct product of C4 and Dic31496C4xDic31496,10
C22xDic31Direct product of C22 and Dic31496C2^2xDic31496,35
C2xC4xD31Direct product of C2xC4 and D31248C2xC4xD31496,28
C2xC31:C8Direct product of C2 and C31:C8496C2xC31:C8496,8

Groups of order 497

dρLabelID
C497Cyclic group4971C497497,2
C71:C7The semidirect product of C71 and C7 acting faithfully717C71:C7497,1

Groups of order 498

dρLabelID
C498Cyclic group4981C498498,4
D249Dihedral group2492+D249498,3
S3xC83Direct product of C83 and S32492S3xC83498,1
C3xD83Direct product of C3 and D832492C3xD83498,2

Groups of order 499

dρLabelID
C499Cyclic group4991C499499,1

Groups of order 500

dρLabelID
C500Cyclic group5001C500500,2
D250Dihedral group; = C2xD1252502+D250500,4
Dic125Dicyclic group; = C125:2C45002-Dic125500,1
C53:6C46th semidirect product of C53 and C4 acting faithfully204C5^3:6C4500,46
C52:5D102nd semidirect product of C52 and D10 acting via D10/C5=C22204C5^2:5D10500,52
C25:2F52nd semidirect product of C25 and F5 acting via F5/C5=C4504+C25:2F5500,24
C53:9C49th semidirect product of C53 and C4 acting faithfully50C5^3:9C4500,49
C53:C45th semidirect product of C53 and C4 acting faithfully100C5^3:C4500,45
C53:7C47th semidirect product of C53 and C4 acting faithfully100C5^3:7C4500,47
C125:C4The semidirect product of C125 and C4 acting faithfully1254+C125:C4500,3
C25:F51st semidirect product of C25 and F5 acting via F5/C5=C4125C25:F5500,22
C53:8C48th semidirect product of C53 and C4 acting faithfully125C5^3:8C4500,48
C53:12C43rd semidirect product of C53 and C4 acting via C4/C2=C2500C5^3:12C4500,39
D5.D25The non-split extension by D5 of D25 acting via D25/C25=C21004D5.D25500,19
D25.D5The non-split extension by D25 of D5 acting via D5/C5=C21004D25.D5500,20
C50.D53rd non-split extension by C50 of D5 acting via D5/C5=C2500C50.D5500,10
C2xC250Abelian group of type [2,250]500C2xC250500,5
C5xC100Abelian group of type [5,100]500C5xC100500,12
C10xC50Abelian group of type [10,50]500C10xC50500,34
C52xC20Abelian group of type [5,5,20]500C5^2xC20500,40
C5xC102Abelian group of type [5,10,10]500C5xC10^2500,56
D5xD25Direct product of D5 and D25504+D5xD25500,26
D5xC50Direct product of C50 and D51002D5xC50500,29
F5xC25Direct product of C25 and F51004F5xC25500,15
C10xD25Direct product of C10 and D251002C10xD25500,28
F5xC52Direct product of C52 and F5100F5xC5^2500,41
C5xDic25Direct product of C5 and Dic251002C5xDic25500,6
Dic5xC25Direct product of C25 and Dic51002Dic5xC25500,7
Dic5xC52Direct product of C52 and Dic5100Dic5xC5^2500,37
C5xD52Direct product of C5, D5 and D5204C5xD5^2500,50
C5xD5.D5Direct product of C5 and D5.D5204C5xD5.D5500,42
C5xC52:C4Direct product of C5 and C52:C4204C5xC5^2:C4500,44
D5xC5:D5Direct product of D5 and C5:D550D5xC5:D5500,51
C5xC25:C4Direct product of C5 and C25:C41004C5xC25:C4500,16
D5xC5xC10Direct product of C5xC10 and D5100D5xC5xC10500,53
C10xC5:D5Direct product of C10 and C5:D5100C10xC5:D5500,54
C5xC5:F5Direct product of C5 and C5:F5100C5xC5:F5500,43
C5xC52:6C4Direct product of C5 and C52:6C4100C5xC5^2:6C4500,38
C2xC25:D5Direct product of C2 and C25:D5250C2xC25:D5500,32
C2xC53:C2Direct product of C2 and C53:C2250C2xC5^3:C2500,55
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