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

Groups of order 1

C1Trivial group11+C11,1

Groups of order 2

C2Cyclic group21+C22,1

Groups of order 3

C3Cyclic group; = A3 = triangle rotations31C33,1

Groups of order 4

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

Groups of order 5

C5Cyclic group; = pentagon rotations51C55,1

Groups of order 6

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

C7Cyclic group71C77,1

Groups of order 8

C8Cyclic group81C88,1
C23Elementary abelian group of type [2,2,2]8C2^38,5
C2×C4Abelian group of type [2,4]8C2xC48,2

Groups of order 9

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

Groups of order 10

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

Groups of order 11

C11Cyclic group111C1111,1

Groups of order 12

C12Cyclic group121C1212,2
A4Alternating group on 4 letters; = PSL2(𝔽3) = L2(3) = tetrahedron rotations43+A412,3
D6Dihedral group; = C2×S3 = hexagon symmetries62+D612,4
Dic3Dicyclic group; = C3C4122-Dic312,1
C2×C6Abelian group of type [2,6]12C2xC612,5

Groups of order 13

C13Cyclic group131C1313,1

Groups of order 14

C14Cyclic group141C1414,2
D7Dihedral group72+D714,1

Groups of order 15

C15Cyclic group151C1515,1

Groups of order 16

C16Cyclic group161C1616,1
C42Abelian group of type [4,4]16C4^216,2
C24Elementary abelian group of type [2,2,2,2]16C2^416,14
C2×C8Abelian group of type [2,8]16C2xC816,5
C22×C4Abelian group of type [2,2,4]16C2^2xC416,10

Groups of order 17

C17Cyclic group171C1717,1

Groups of order 18

C18Cyclic group181C1818,2
D9Dihedral group92+D918,1
C3⋊S3The semidirect product of C3 and S3 acting via S3/C3=C29C3:S318,4
C3×C6Abelian group of type [3,6]18C3xC618,5
C3×S3Direct product of C3 and S3; = U2(𝔽2)62C3xS318,3

Groups of order 19

C19Cyclic group191C1919,1

Groups of order 20

C20Cyclic group201C2020,2
D10Dihedral group; = C2×D5102+D1020,4
F5Frobenius group; = C5C4 = AGL1(𝔽5) = Aut(D5) = Hol(C5) = Sz(2)54+F520,3
Dic5Dicyclic group; = C52C4202-Dic520,1
C2×C10Abelian group of type [2,10]20C2xC1020,5

Groups of order 21

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

Groups of order 22

C22Cyclic group221C2222,2
D11Dihedral group112+D1122,1

Groups of order 23

C23Cyclic group231C2323,1

Groups of order 24

C24Cyclic group241C2424,2
C3⋊C8The semidirect product of C3 and C8 acting via C8/C4=C2242C3:C824,1
C2×C12Abelian group of type [2,12]24C2xC1224,9
C22×C6Abelian group of type [2,2,6]24C2^2xC624,15
C2×A4Direct product of C2 and A4; = AΣL1(𝔽8)63+C2xA424,13
C4×S3Direct product of C4 and S3122C4xS324,5
C22×S3Direct product of C22 and S312C2^2xS324,14
C2×Dic3Direct product of C2 and Dic324C2xDic324,7

Groups of order 25

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

Groups of order 26

C26Cyclic group261C2626,2
D13Dihedral group132+D1326,1

Groups of order 27

C27Cyclic group271C2727,1
C33Elementary abelian group of type [3,3,3]27C3^327,5
C3×C9Abelian group of type [3,9]27C3xC927,2

Groups of order 28

C28Cyclic group281C2828,2
D14Dihedral group; = C2×D7142+D1428,3
Dic7Dicyclic group; = C7C4282-Dic728,1
C2×C14Abelian group of type [2,14]28C2xC1428,4

Groups of order 29

C29Cyclic group291C2929,1

Groups of order 30

C30Cyclic group301C3030,4
D15Dihedral group152+D1530,3
C5×S3Direct product of C5 and S3152C5xS330,1
C3×D5Direct product of C3 and D5152C3xD530,2

Groups of order 31

C31Cyclic group311C3131,1

Groups of order 32

C32Cyclic group321C3232,1
C25Elementary abelian group of type [2,2,2,2,2]32C2^532,51
C4×C8Abelian group of type [4,8]32C4xC832,3
C2×C16Abelian group of type [2,16]32C2xC1632,16
C2×C42Abelian group of type [2,4,4]32C2xC4^232,21
C22×C8Abelian group of type [2,2,8]32C2^2xC832,36
C23×C4Abelian group of type [2,2,2,4]32C2^3xC432,45

Groups of order 33

C33Cyclic group331C3333,1

Groups of order 34

C34Cyclic group341C3434,2
D17Dihedral group172+D1734,1

Groups of order 35

C35Cyclic group351C3535,1

Groups of order 36

C36Cyclic group361C3636,2
D18Dihedral group; = C2×D9182+D1836,4
Dic9Dicyclic group; = C9C4362-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
C2×C18Abelian group of type [2,18]36C2xC1836,5
C3×C12Abelian group of type [3,12]36C3xC1236,8
S32Direct product of S3 and S3; = Spin+4(𝔽2) = Hol(S3)64+S3^236,10
S3×C6Direct product of C6 and S3122S3xC636,12
C3×A4Direct product of C3 and A4123C3xA436,11
C3×Dic3Direct product of C3 and Dic3122C3xDic336,6
C2×C3⋊S3Direct product of C2 and C3⋊S318C2xC3:S336,13

Groups of order 37

C37Cyclic group371C3737,1

Groups of order 38

C38Cyclic group381C3838,2
D19Dihedral group192+D1938,1

Groups of order 39

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

Groups of order 40

C40Cyclic group401C4040,2
C5⋊C8The semidirect product of C5 and C8 acting via C8/C2=C4404-C5:C840,3
C52C8The semidirect product of C5 and C8 acting via C8/C4=C2402C5:2C840,1
C2×C20Abelian group of type [2,20]40C2xC2040,9
C22×C10Abelian group of type [2,2,10]40C2^2xC1040,14
C2×F5Direct product of C2 and F5; = Aut(D10) = Hol(C10)104+C2xF540,12
C4×D5Direct product of C4 and D5202C4xD540,5
C22×D5Direct product of C22 and D520C2^2xD540,13
C2×Dic5Direct product of C2 and Dic540C2xDic540,7

Groups of order 41

C41Cyclic group411C4141,1

Groups of order 42

C42Cyclic group421C4242,6
D21Dihedral group212+D2142,5
F7Frobenius group; = C7C6 = AGL1(𝔽7) = Aut(D7) = Hol(C7)76+F742,1
S3×C7Direct product of C7 and S3212S3xC742,3
C3×D7Direct product of C3 and D7212C3xD742,4
C2×C7⋊C3Direct product of C2 and C7⋊C3143C2xC7:C342,2

Groups of order 43

C43Cyclic group431C4343,1

Groups of order 44

C44Cyclic group441C4444,2
D22Dihedral group; = C2×D11222+D2244,3
Dic11Dicyclic group; = C11C4442-Dic1144,1
C2×C22Abelian group of type [2,22]44C2xC2244,4

Groups of order 45

C45Cyclic group451C4545,1
C3×C15Abelian group of type [3,15]45C3xC1545,2

Groups of order 46

C46Cyclic group461C4646,2
D23Dihedral group232+D2346,1

Groups of order 47

C47Cyclic group471C4747,1

Groups of order 48

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
C4×C12Abelian group of type [4,12]48C4xC1248,20
C2×C24Abelian group of type [2,24]48C2xC2448,23
C23×C6Abelian group of type [2,2,2,6]48C2^3xC648,52
C22×C12Abelian group of type [2,2,12]48C2^2xC1248,44
C4×A4Direct product of C4 and A4123C4xA448,31
C22×A4Direct product of C22 and A412C2^2xA448,49
S3×C8Direct product of C8 and S3242S3xC848,4
S3×C23Direct product of C23 and S324S3xC2^348,51
C4×Dic3Direct product of C4 and Dic348C4xDic348,11
C22×Dic3Direct product of C22 and Dic348C2^2xDic348,42
S3×C2×C4Direct product of C2×C4 and S324S3xC2xC448,35
C2×C3⋊C8Direct product of C2 and C3⋊C848C2xC3:C848,9

Groups of order 49

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

Groups of order 50

C50Cyclic group501C5050,2
D25Dihedral group252+D2550,1
C5⋊D5The semidirect product of C5 and D5 acting via D5/C5=C225C5:D550,4
C5×C10Abelian group of type [5,10]50C5xC1050,5
C5×D5Direct product of C5 and D5; = AΣL1(𝔽25)102C5xD550,3

Groups of order 51

C51Cyclic group511C5151,1

Groups of order 52

C52Cyclic group521C5252,2
D26Dihedral group; = C2×D13262+D2652,4
Dic13Dicyclic group; = C132C4522-Dic1352,1
C13⋊C4The semidirect product of C13 and C4 acting faithfully134+C13:C452,3
C2×C26Abelian group of type [2,26]52C2xC2652,5

Groups of order 53

C53Cyclic group531C5353,1

Groups of order 54

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
C3×C18Abelian group of type [3,18]54C3xC1854,9
C32×C6Abelian group of type [3,3,6]54C3^2xC654,15
S3×C9Direct product of C9 and S3182S3xC954,4
C3×D9Direct product of C3 and D9182C3xD954,3
S3×C32Direct product of C32 and S318S3xC3^254,12
C3×C3⋊S3Direct product of C3 and C3⋊S318C3xC3:S354,13

Groups of order 55

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

Groups of order 56

C56Cyclic group561C5656,2
F8Frobenius group; = C23C7 = AGL1(𝔽8)87+F856,11
C7⋊C8The semidirect product of C7 and C8 acting via C8/C4=C2562C7:C856,1
C2×C28Abelian group of type [2,28]56C2xC2856,8
C22×C14Abelian group of type [2,2,14]56C2^2xC1456,13
C4×D7Direct product of C4 and D7282C4xD756,4
C22×D7Direct product of C22 and D728C2^2xD756,12
C2×Dic7Direct product of C2 and Dic756C2xDic756,6

Groups of order 57

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

Groups of order 58

C58Cyclic group581C5858,2
D29Dihedral group292+D2958,1

Groups of order 59

C59Cyclic group591C5959,1

Groups of order 60

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; = C2×D15302+D3060,12
Dic15Dicyclic group; = C3Dic5602-Dic1560,3
C3⋊F5The semidirect product of C3 and F5 acting via F5/D5=C2154C3:F560,7
C2×C30Abelian group of type [2,30]60C2xC3060,13
S3×D5Direct product of S3 and D5154+S3xD560,8
C3×F5Direct product of C3 and F5154C3xF560,6
C5×A4Direct product of C5 and A4203C5xA460,9
C6×D5Direct product of C6 and D5302C6xD560,10
S3×C10Direct product of C10 and S3302S3xC1060,11
C5×Dic3Direct product of C5 and Dic3602C5xDic360,1
C3×Dic5Direct product of C3 and Dic5602C3xDic560,2

Groups of order 61

C61Cyclic group611C6161,1

Groups of order 62

C62Cyclic group621C6262,2
D31Dihedral group312+D3162,1

Groups of order 63

C63Cyclic group631C6363,2
C7⋊C9The semidirect product of C7 and C9 acting via C9/C3=C3633C7:C963,1
C3×C21Abelian group of type [3,21]63C3xC2163,4
C3×C7⋊C3Direct product of C3 and C7⋊C3213C3xC7:C363,3

Groups of order 64

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
C4×C16Abelian group of type [4,16]64C4xC1664,26
C2×C32Abelian group of type [2,32]64C2xC3264,50
C23×C8Abelian group of type [2,2,2,8]64C2^3xC864,246
C24×C4Abelian group of type [2,2,2,2,4]64C2^4xC464,260
C22×C16Abelian group of type [2,2,16]64C2^2xC1664,183
C22×C42Abelian group of type [2,2,4,4]64C2^2xC4^264,192
C2×C4×C8Abelian group of type [2,4,8]64C2xC4xC864,83

Groups of order 65

C65Cyclic group651C6565,1

Groups of order 66

C66Cyclic group661C6666,4
D33Dihedral group332+D3366,3
S3×C11Direct product of C11 and S3332S3xC1166,1
C3×D11Direct product of C3 and D11332C3xD1166,2

Groups of order 67

C67Cyclic group671C6767,1

Groups of order 68

C68Cyclic group681C6868,2
D34Dihedral group; = C2×D17342+D3468,4
Dic17Dicyclic group; = C172C4682-Dic1768,1
C17⋊C4The semidirect product of C17 and C4 acting faithfully174+C17:C468,3
C2×C34Abelian group of type [2,34]68C2xC3468,5

Groups of order 69

C69Cyclic group691C6969,1

Groups of order 70

C70Cyclic group701C7070,4
D35Dihedral group352+D3570,3
C7×D5Direct product of C7 and D5352C7xD570,1
C5×D7Direct product of C5 and D7352C5xD770,2

Groups of order 71

C71Cyclic group711C7171,1

Groups of order 72

C72Cyclic group721C7272,2
F9Frobenius group; = C32C8 = AGL1(𝔽9)98+F972,39
C322C8The 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
C324C82nd 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
C2×C36Abelian group of type [2,36]72C2xC3672,9
C3×C24Abelian group of type [3,24]72C3xC2472,14
C6×C12Abelian group of type [6,12]72C6xC1272,36
C2×C62Abelian group of type [2,6,6]72C2xC6^272,50
C22×C18Abelian group of type [2,2,18]72C2^2xC1872,18
S3×A4Direct product of S3 and A4126+S3xA472,44
C6×A4Direct product of C6 and A4183C6xA472,47
S3×C12Direct product of C12 and S3242S3xC1272,27
S3×Dic3Direct product of S3 and Dic3244-S3xDic372,20
C6×Dic3Direct product of C6 and Dic324C6xDic372,29
C4×D9Direct product of C4 and D9362C4xD972,5
C22×D9Direct product of C22 and D936C2^2xD972,17
C2×Dic9Direct product of C2 and Dic972C2xDic972,7
C2×S32Direct product of C2, S3 and S3124+C2xS3^272,46
C2×C32⋊C4Direct product of C2 and C32⋊C4124+C2xC3^2:C472,45
C2×C3.A4Direct product of C2 and C3.A4183C2xC3.A472,16
C3×C3⋊C8Direct product of C3 and C3⋊C8242C3xC3:C872,12
S3×C2×C6Direct product of C2×C6 and S324S3xC2xC672,48
C4×C3⋊S3Direct product of C4 and C3⋊S336C4xC3:S372,32
C22×C3⋊S3Direct product of C22 and C3⋊S336C2^2xC3:S372,49
C2×C3⋊Dic3Direct product of C2 and C3⋊Dic372C2xC3:Dic372,34

Groups of order 73

C73Cyclic group731C7373,1

Groups of order 74

C74Cyclic group741C7474,2
D37Dihedral group372+D3774,1

Groups of order 75

C75Cyclic group751C7575,1
C52⋊C3The semidirect product of C52 and C3 acting faithfully153C5^2:C375,2
C5×C15Abelian group of type [5,15]75C5xC1575,3

Groups of order 76

C76Cyclic group761C7676,2
D38Dihedral group; = C2×D19382+D3876,3
Dic19Dicyclic group; = C19C4762-Dic1976,1
C2×C38Abelian group of type [2,38]76C2xC3876,4

Groups of order 77

C77Cyclic group771C7777,1

Groups of order 78

C78Cyclic group781C7878,6
D39Dihedral group392+D3978,5
C13⋊C6The semidirect product of C13 and C6 acting faithfully136+C13:C678,1
S3×C13Direct product of C13 and S3392S3xC1378,3
C3×D13Direct product of C3 and D13392C3xD1378,4
C2×C13⋊C3Direct product of C2 and C13⋊C3263C2xC13:C378,2

Groups of order 79

C79Cyclic group791C7979,1

Groups of order 80

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
C52C16The semidirect product of C5 and C16 acting via C16/C8=C2802C5:2C1680,1
C4×C20Abelian group of type [4,20]80C4xC2080,20
C2×C40Abelian group of type [2,40]80C2xC4080,23
C22×C20Abelian group of type [2,2,20]80C2^2xC2080,45
C23×C10Abelian group of type [2,2,2,10]80C2^3xC1080,52
C4×F5Direct product of C4 and F5204C4xF580,30
C22×F5Direct product of C22 and F520C2^2xF580,50
C8×D5Direct product of C8 and D5402C8xD580,4
C23×D5Direct product of C23 and D540C2^3xD580,51
C4×Dic5Direct product of C4 and Dic580C4xDic580,11
C22×Dic5Direct product of C22 and Dic580C2^2xDic580,43
C2×C4×D5Direct product of C2×C4 and D540C2xC4xD580,36
C2×C5⋊C8Direct product of C2 and C5⋊C880C2xC5:C880,32
C2×C52C8Direct product of C2 and C52C880C2xC5:2C880,9

Groups of order 81

C81Cyclic group811C8181,1
C92Abelian group of type [9,9]81C9^281,2
C34Elementary abelian group of type [3,3,3,3]81C3^481,15
C3×C27Abelian group of type [3,27]81C3xC2781,5
C32×C9Abelian group of type [3,3,9]81C3^2xC981,11

Groups of order 82

C82Cyclic group821C8282,2
D41Dihedral group412+D4182,1

Groups of order 83

C83Cyclic group831C8383,1

Groups of order 84

C84Cyclic group841C8484,6
D42Dihedral group; = C2×D21422+D4284,14
Dic21Dicyclic group; = C3Dic7842-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
C2×C42Abelian group of type [2,42]84C2xC4284,15
C2×F7Direct product of C2 and F7; = Aut(D14) = Hol(C14)146+C2xF784,7
S3×D7Direct product of S3 and D7214+S3xD784,8
C7×A4Direct product of C7 and A4283C7xA484,10
C6×D7Direct product of C6 and D7422C6xD784,12
S3×C14Direct product of C14 and S3422S3xC1484,13
C7×Dic3Direct product of C7 and Dic3842C7xDic384,3
C3×Dic7Direct product of C3 and Dic7842C3xDic784,4
C4×C7⋊C3Direct product of C4 and C7⋊C3283C4xC7:C384,2
C22×C7⋊C3Direct product of C22 and C7⋊C328C2^2xC7:C384,9

Groups of order 85

C85Cyclic group851C8585,1

Groups of order 86

C86Cyclic group861C8686,2
D43Dihedral group432+D4386,1

Groups of order 87

C87Cyclic group871C8787,1

Groups of order 88

C88Cyclic group881C8888,2
C11⋊C8The semidirect product of C11 and C8 acting via C8/C4=C2882C11:C888,1
C2×C44Abelian group of type [2,44]88C2xC4488,8
C22×C22Abelian group of type [2,2,22]88C2^2xC2288,12
C4×D11Direct product of C4 and D11442C4xD1188,4
C22×D11Direct product of C22 and D1144C2^2xD1188,11
C2×Dic11Direct product of C2 and Dic1188C2xDic1188,6

Groups of order 89

C89Cyclic group891C8989,1

Groups of order 90

C90Cyclic group901C9090,4
D45Dihedral group452+D4590,3
C3⋊D15The semidirect product of C3 and D15 acting via D15/C15=C245C3:D1590,9
C3×C30Abelian group of type [3,30]90C3xC3090,10
S3×C15Direct product of C15 and S3302S3xC1590,6
C3×D15Direct product of C3 and D15302C3xD1590,7
C5×D9Direct product of C5 and D9452C5xD990,1
C9×D5Direct product of C9 and D5452C9xD590,2
C32×D5Direct product of C32 and D545C3^2xD590,5
C5×C3⋊S3Direct product of C5 and C3⋊S345C5xC3:S390,8

Groups of order 91

C91Cyclic group911C9191,1

Groups of order 92

C92Cyclic group921C9292,2
D46Dihedral group; = C2×D23462+D4692,3
Dic23Dicyclic group; = C23C4922-Dic2392,1
C2×C46Abelian group of type [2,46]92C2xC4692,4

Groups of order 93

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

Groups of order 94

C94Cyclic group941C9494,2
D47Dihedral group472+D4794,1

Groups of order 95

C95Cyclic group951C9595,1

Groups of order 96

C96Cyclic group961C9696,2
C3⋊C32The semidirect product of C3 and C32 acting via C32/C16=C2962C3:C3296,1
C4×C24Abelian group of type [4,24]96C4xC2496,46
C2×C48Abelian group of type [2,48]96C2xC4896,59
C24×C6Abelian group of type [2,2,2,2,6]96C2^4xC696,231
C22×C24Abelian group of type [2,2,24]96C2^2xC2496,176
C23×C12Abelian group of type [2,2,2,12]96C2^3xC1296,220
C2×C4×C12Abelian group of type [2,4,12]96C2xC4xC1296,161
C8×A4Direct product of C8 and A4243C8xA496,73
C23×A4Direct product of C23 and A424C2^3xA496,228
S3×C16Direct product of C16 and S3482S3xC1696,4
S3×C42Direct product of C42 and S348S3xC4^296,78
S3×C24Direct product of C24 and S348S3xC2^496,230
C8×Dic3Direct product of C8 and Dic396C8xDic396,20
C23×Dic3Direct product of C23 and Dic396C2^3xDic396,218
C2×C42⋊C3Direct product of C2 and C42⋊C3123C2xC4^2:C396,68
C2×C22⋊A4Direct product of C2 and C22⋊A412C2xC2^2:A496,229
C2×C4×A4Direct product of C2×C4 and A424C2xC4xA496,196
S3×C2×C8Direct product of C2×C8 and S348S3xC2xC896,106
S3×C22×C4Direct product of C22×C4 and S348S3xC2^2xC496,206
C4×C3⋊C8Direct product of C4 and C3⋊C896C4xC3:C896,9
C2×C3⋊C16Direct product of C2 and C3⋊C1696C2xC3:C1696,18
C22×C3⋊C8Direct product of C22 and C3⋊C896C2^2xC3:C896,127
C2×C4×Dic3Direct product of C2×C4 and Dic396C2xC4xDic396,129

Groups of order 97

C97Cyclic group971C9797,1

Groups of order 98

C98Cyclic group981C9898,2
D49Dihedral group492+D4998,1
C7⋊D7The semidirect product of C7 and D7 acting via D7/C7=C249C7:D798,4
C7×C14Abelian group of type [7,14]98C7xC1498,5
C7×D7Direct product of C7 and D7; = AΣL1(𝔽49)142C7xD798,3

Groups of order 99

C99Cyclic group991C9999,1
C3×C33Abelian group of type [3,33]99C3xC3399,2

Groups of order 100

C100Cyclic group1001C100100,2
D50Dihedral group; = C2×D25502+D50100,4
Dic25Dicyclic group; = C252C41002-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
C526C42nd 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
C2×C50Abelian group of type [2,50]100C2xC50100,5
C5×C20Abelian group of type [5,20]100C5xC20100,8
D52Direct product of D5 and D5104+D5^2100,13
C5×F5Direct product of C5 and F5204C5xF5100,9
D5×C10Direct product of C10 and D5202D5xC10100,14
C5×Dic5Direct product of C5 and Dic5202C5xDic5100,6
C2×C5⋊D5Direct product of C2 and C5⋊D550C2xC5:D5100,15

Groups of order 101

C101Cyclic group1011C101101,1

Groups of order 102

C102Cyclic group1021C102102,4
D51Dihedral group512+D51102,3
S3×C17Direct product of C17 and S3512S3xC17102,1
C3×D17Direct product of C3 and D17512C3xD17102,2

Groups of order 103

C103Cyclic group1031C103103,1

Groups of order 104

C104Cyclic group1041C104104,2
C13⋊C8The semidirect product of C13 and C8 acting via C8/C2=C41044-C13:C8104,3
C132C8The semidirect product of C13 and C8 acting via C8/C4=C21042C13:2C8104,1
C2×C52Abelian group of type [2,52]104C2xC52104,9
C22×C26Abelian group of type [2,2,26]104C2^2xC26104,14
C4×D13Direct product of C4 and D13522C4xD13104,5
C22×D13Direct product of C22 and D1352C2^2xD13104,13
C2×Dic13Direct product of C2 and Dic13104C2xDic13104,7
C2×C13⋊C4Direct product of C2 and C13⋊C4264+C2xC13:C4104,12

Groups of order 105

C105Cyclic group1051C105105,2
C5×C7⋊C3Direct product of C5 and C7⋊C3353C5xC7:C3105,1

Groups of order 106

C106Cyclic group1061C106106,2
D53Dihedral group532+D53106,1

Groups of order 107

C107Cyclic group1071C107107,1

Groups of order 108

C108Cyclic group1081C108108,2
D54Dihedral group; = C2×D27542+D54108,4
Dic27Dicyclic group; = C27C41082-Dic27108,1
C33⋊C42nd semidirect product of C33 and C4 acting faithfully124C3^3:C4108,37
C324D6The 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
C335C43rd semidirect product of C33 and C4 acting via C4/C2=C2108C3^3:5C4108,34
C9.A4The central extension by C9 of A4543C9.A4108,3
C2×C54Abelian group of type [2,54]108C2xC54108,5
C3×C36Abelian group of type [3,36]108C3xC36108,12
C6×C18Abelian group of type [6,18]108C6xC18108,29
C3×C62Abelian group of type [3,6,6]108C3xC6^2108,45
C32×C12Abelian group of type [3,3,12]108C3^2xC12108,35
S3×D9Direct product of S3 and D9184+S3xD9108,16
C9×A4Direct product of C9 and A4363C9xA4108,18
C6×D9Direct product of C6 and D9362C6xD9108,23
S3×C18Direct product of C18 and S3362S3xC18108,24
C32×A4Direct product of C32 and A436C3^2xA4108,41
C3×Dic9Direct product of C3 and Dic9362C3xDic9108,6
C9×Dic3Direct product of C9 and Dic3362C9xDic3108,7
C32×Dic3Direct product of C32 and Dic336C3^2xDic3108,32
C3×S32Direct product of C3, S3 and S3124C3xS3^2108,38
C3×C32⋊C4Direct product of C3 and C32⋊C4124C3xC3^2:C4108,36
S3×C3⋊S3Direct product of S3 and C3⋊S318S3xC3:S3108,39
S3×C3×C6Direct product of C3×C6 and S336S3xC3xC6108,42
C6×C3⋊S3Direct product of C6 and C3⋊S336C6xC3:S3108,43
C3×C3⋊Dic3Direct product of C3 and C3⋊Dic336C3xC3:Dic3108,33
C2×C9⋊S3Direct product of C2 and C9⋊S354C2xC9:S3108,27
C3×C3.A4Direct product of C3 and C3.A454C3xC3.A4108,20
C2×C33⋊C2Direct product of C2 and C33⋊C254C2xC3^3:C2108,44

Groups of order 109

C109Cyclic group1091C109109,1

Groups of order 110

C110Cyclic group1101C110110,6
D55Dihedral group552+D55110,5
F11Frobenius group; = C11C10 = AGL1(𝔽11) = Aut(D11) = Hol(C11)1110+F11110,1
D5×C11Direct product of C11 and D5552D5xC11110,3
C5×D11Direct product of C5 and D11552C5xD11110,4
C2×C11⋊C5Direct product of C2 and C11⋊C5225C2xC11:C5110,2

Groups of order 111

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

Groups of order 112

C112Cyclic group1121C112112,2
C7⋊C16The semidirect product of C7 and C16 acting via C16/C8=C21122C7:C16112,1
C4×C28Abelian group of type [4,28]112C4xC28112,19
C2×C56Abelian group of type [2,56]112C2xC56112,22
C22×C28Abelian group of type [2,2,28]112C2^2xC28112,37
C23×C14Abelian group of type [2,2,2,14]112C2^3xC14112,43
C2×F8Direct product of C2 and F8147+C2xF8112,41
C8×D7Direct product of C8 and D7562C8xD7112,3
C23×D7Direct product of C23 and D756C2^3xD7112,42
C4×Dic7Direct product of C4 and Dic7112C4xDic7112,10
C22×Dic7Direct product of C22 and Dic7112C2^2xDic7112,35
C2×C4×D7Direct product of C2×C4 and D756C2xC4xD7112,28
C2×C7⋊C8Direct product of C2 and C7⋊C8112C2xC7:C8112,8

Groups of order 113

C113Cyclic group1131C113113,1

Groups of order 114

C114Cyclic group1141C114114,6
D57Dihedral group572+D57114,5
C19⋊C6The semidirect product of C19 and C6 acting faithfully196+C19:C6114,1
S3×C19Direct product of C19 and S3572S3xC19114,3
C3×D19Direct product of C3 and D19572C3xD19114,4
C2×C19⋊C3Direct product of C2 and C19⋊C3383C2xC19:C3114,2

Groups of order 115

C115Cyclic group1151C115115,1

Groups of order 116

C116Cyclic group1161C116116,2
D58Dihedral group; = C2×D29582+D58116,4
Dic29Dicyclic group; = C292C41162-Dic29116,1
C29⋊C4The semidirect product of C29 and C4 acting faithfully294+C29:C4116,3
C2×C58Abelian group of type [2,58]116C2xC58116,5

Groups of order 117

C117Cyclic group1171C117117,2
C13⋊C9The semidirect product of C13 and C9 acting via C9/C3=C31173C13:C9117,1
C3×C39Abelian group of type [3,39]117C3xC39117,4
C3×C13⋊C3Direct product of C3 and C13⋊C3393C3xC13:C3117,3

Groups of order 118

C118Cyclic group1181C118118,2
D59Dihedral group592+D59118,1

Groups of order 119

C119Cyclic group1191C119119,1

Groups of order 120

C120Cyclic group1201C120120,4
C153C81st 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
C2×C60Abelian group of type [2,60]120C2xC60120,31
C22×C30Abelian group of type [2,2,30]120C2^2xC30120,47
C2×A5Direct product of C2 and A5; = icosahedron/dodecahedron symmetries103+C2xA5120,35
S3×F5Direct product of S3 and F5; = Aut(D15) = Hol(C15)158+S3xF5120,36
D5×A4Direct product of D5 and A4206+D5xA4120,39
C6×F5Direct product of C6 and F5304C6xF5120,40
C10×A4Direct product of C10 and A4303C10xA4120,43
S3×C20Direct product of C20 and S3602S3xC20120,22
D5×C12Direct product of C12 and D5602D5xC12120,17
C4×D15Direct product of C4 and D15602C4xD15120,27
D5×Dic3Direct product of D5 and Dic3604-D5xDic3120,8
S3×Dic5Direct product of S3 and Dic5604-S3xDic5120,9
C22×D15Direct product of C22 and D1560C2^2xD15120,46
C6×Dic5Direct product of C6 and Dic5120C6xDic5120,19
C10×Dic3Direct product of C10 and Dic3120C10xDic3120,24
C2×Dic15Direct product of C2 and Dic15120C2xDic15120,29
C2×S3×D5Direct product of C2, S3 and D5304+C2xS3xD5120,42
C2×C3⋊F5Direct product of C2 and C3⋊F5304C2xC3:F5120,41
D5×C2×C6Direct product of C2×C6 and D560D5xC2xC6120,44
S3×C2×C10Direct product of C2×C10 and S360S3xC2xC10120,45
C5×C3⋊C8Direct product of C5 and C3⋊C81202C5xC3:C8120,1
C3×C5⋊C8Direct product of C3 and C5⋊C81204C3xC5:C8120,6
C3×C52C8Direct product of C3 and C52C81202C3xC5:2C8120,2

Groups of order 121

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

Groups of order 122

C122Cyclic group1221C122122,2
D61Dihedral group612+D61122,1

Groups of order 123

C123Cyclic group1231C123123,1

Groups of order 124

C124Cyclic group1241C124124,2
D62Dihedral group; = C2×D31622+D62124,3
Dic31Dicyclic group; = C31C41242-Dic31124,1
C2×C62Abelian group of type [2,62]124C2xC62124,4

Groups of order 125

C125Cyclic group1251C125125,1
C53Elementary abelian group of type [5,5,5]125C5^3125,5
C5×C25Abelian group of type [5,25]125C5xC25125,2

Groups of order 126

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
C3×C42Abelian group of type [3,42]126C3xC42126,16
C3×F7Direct product of C3 and F7216C3xF7126,7
S3×C21Direct product of C21 and S3422S3xC21126,12
C3×D21Direct product of C3 and D21422C3xD21126,13
C7×D9Direct product of C7 and D9632C7xD9126,3
C9×D7Direct product of C9 and D7632C9xD7126,4
C32×D7Direct product of C32 and D763C3^2xD7126,11
S3×C7⋊C3Direct product of S3 and C7⋊C3216S3xC7:C3126,8
C6×C7⋊C3Direct product of C6 and C7⋊C3423C6xC7:C3126,10
C7×C3⋊S3Direct product of C7 and C3⋊S363C7xC3:S3126,14
C2×C7⋊C9Direct product of C2 and C7⋊C91263C2xC7:C9126,2

Groups of order 127

C127Cyclic group1271C127127,1

Groups of order 128

C128Cyclic group1281C128128,1
C27Elementary abelian group of type [2,2,2,2,2,2,2]128C2^7128,2328
C8×C16Abelian group of type [8,16]128C8xC16128,42
C4×C32Abelian group of type [4,32]128C4xC32128,128
C2×C64Abelian group of type [2,64]128C2xC64128,159
C2×C82Abelian group of type [2,8,8]128C2xC8^2128,179
C42×C8Abelian group of type [4,4,8]128C4^2xC8128,456
C2×C43Abelian group of type [2,4,4,4]128C2xC4^3128,997
C24×C8Abelian group of type [2,2,2,2,8]128C2^4xC8128,2301
C25×C4Abelian group of type [2,2,2,2,2,4]128C2^5xC4128,2319
C22×C32Abelian group of type [2,2,32]128C2^2xC32128,988
C23×C16Abelian group of type [2,2,2,16]128C2^3xC16128,2136
C23×C42Abelian group of type [2,2,2,4,4]128C2^3xC4^2128,2150
C2×C4×C16Abelian group of type [2,4,16]128C2xC4xC16128,837
C22×C4×C8Abelian group of type [2,2,4,8]128C2^2xC4xC8128,1601

Groups of order 129

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

Groups of order 130

C130Cyclic group1301C130130,4
D65Dihedral group652+D65130,3
D5×C13Direct product of C13 and D5652D5xC13130,1
C5×D13Direct product of C5 and D13652C5xD13130,2

Groups of order 131

C131Cyclic group1311C131131,1

Groups of order 132

C132Cyclic group1321C132132,4
D66Dihedral group; = C2×D33662+D66132,9
Dic33Dicyclic group; = C331C41322-Dic33132,3
C2×C66Abelian group of type [2,66]132C2xC66132,10
S3×D11Direct product of S3 and D11334+S3xD11132,5
C11×A4Direct product of C11 and A4443C11xA4132,6
S3×C22Direct product of C22 and S3662S3xC22132,8
C6×D11Direct product of C6 and D11662C6xD11132,7
C11×Dic3Direct product of C11 and Dic31322C11xDic3132,1
C3×Dic11Direct product of C3 and Dic111322C3xDic11132,2

Groups of order 133

C133Cyclic group1331C133133,1

Groups of order 134

C134Cyclic group1341C134134,2
D67Dihedral group672+D67134,1

Groups of order 135

C135Cyclic group1351C135135,1
C3×C45Abelian group of type [3,45]135C3xC45135,2
C32×C15Abelian group of type [3,3,15]135C3^2xC15135,5

Groups of order 136

C136Cyclic group1361C136136,2
C17⋊C8The semidirect product of C17 and C8 acting faithfully178+C17:C8136,12
C173C8The semidirect product of C17 and C8 acting via C8/C4=C21362C17:3C8136,1
C172C8The semidirect product of C17 and C8 acting via C8/C2=C41364-C17:2C8136,3
C2×C68Abelian group of type [2,68]136C2xC68136,9
C22×C34Abelian group of type [2,2,34]136C2^2xC34136,15
C4×D17Direct product of C4 and D17682C4xD17136,5
C22×D17Direct product of C22 and D1768C2^2xD17136,14
C2×Dic17Direct product of C2 and Dic17136C2xDic17136,7
C2×C17⋊C4Direct product of C2 and C17⋊C4344+C2xC17:C4136,13

Groups of order 137

C137Cyclic group1371C137137,1

Groups of order 138

C138Cyclic group1381C138138,4
D69Dihedral group692+D69138,3
S3×C23Direct product of C23 and S3692S3xC23138,1
C3×D23Direct product of C3 and D23692C3xD23138,2

Groups of order 139

C139Cyclic group1391C139139,1

Groups of order 140

C140Cyclic group1401C140140,4
D70Dihedral group; = C2×D35702+D70140,10
Dic35Dicyclic group; = C7Dic51402-Dic35140,3
C7⋊F5The semidirect product of C7 and F5 acting via F5/D5=C2354C7:F5140,6
C2×C70Abelian group of type [2,70]140C2xC70140,11
D5×D7Direct product of D5 and D7354+D5xD7140,7
C7×F5Direct product of C7 and F5354C7xF5140,5
C10×D7Direct product of C10 and D7702C10xD7140,8
D5×C14Direct product of C14 and D5702D5xC14140,9
C7×Dic5Direct product of C7 and Dic51402C7xDic5140,1
C5×Dic7Direct product of C5 and Dic71402C5xDic7140,2

Groups of order 141

C141Cyclic group1411C141141,1

Groups of order 142

C142Cyclic group1421C142142,2
D71Dihedral group712+D71142,1

Groups of order 143

C143Cyclic group1431C143143,1

Groups of order 144

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
C322C16The 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⋊S33C82nd 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
C4×C36Abelian group of type [4,36]144C4xC36144,20
C2×C72Abelian group of type [2,72]144C2xC72144,23
C3×C48Abelian group of type [3,48]144C3xC48144,30
C6×C24Abelian group of type [6,24]144C6xC24144,104
C22×C36Abelian group of type [2,2,36]144C2^2xC36144,47
C23×C18Abelian group of type [2,2,2,18]144C2^3xC18144,113
C22×C62Abelian group of type [2,2,6,6]144C2^2xC6^2144,197
C2×C6×C12Abelian group of type [2,6,12]144C2xC6xC12144,178
A42Direct product of A4 and A4; = PΩ+4(𝔽3)129+A4^2144,184
C2×F9Direct product of C2 and F9188+C2xF9144,185
C12×A4Direct product of C12 and A4363C12xA4144,155
Dic3×A4Direct product of Dic3 and A4366-Dic3xA4144,129
S3×C24Direct product of C24 and S3482S3xC24144,69
Dic32Direct product of Dic3 and Dic348Dic3^2144,63
Dic3×C12Direct product of C12 and Dic348Dic3xC12144,76
C8×D9Direct product of C8 and D9722C8xD9144,5
C23×D9Direct product of C23 and D972C2^3xD9144,112
C4×Dic9Direct product of C4 and Dic9144C4xDic9144,11
C22×Dic9Direct product of C22 and Dic9144C2^2xDic9144,45
C2×S3×A4Direct product of C2, S3 and A4186+C2xS3xA4144,190
C4×S32Direct product of C4, S3 and S3244C4xS3^2144,143
C22×S32Direct product of C22, S3 and S324C2^2xS3^2144,192
C4×C32⋊C4Direct product of C4 and C32⋊C4244C4xC3^2:C4144,132
C2×C6.D6Direct product of C2 and C6.D624C2xC6.D6144,149
C22×C32⋊C4Direct product of C22 and C32⋊C424C2^2xC3^2:C4144,191
A4×C2×C6Direct product of C2×C6 and A436A4xC2xC6144,193
C4×C3.A4Direct product of C4 and C3.A4363C4xC3.A4144,34
C3×C42⋊C3Direct product of C3 and C42⋊C3363C3xC4^2:C3144,68
C3×C22⋊A4Direct product of C3 and C22⋊A436C3xC2^2:A4144,194
C22×C3.A4Direct product of C22 and C3.A436C2^2xC3.A4144,110
C6×C3⋊C8Direct product of C6 and C3⋊C848C6xC3:C8144,74
S3×C3⋊C8Direct product of S3 and C3⋊C8484S3xC3:C8144,52
C3×C3⋊C16Direct product of C3 and C3⋊C16482C3xC3:C16144,28
S3×C2×C12Direct product of C2×C12 and S348S3xC2xC12144,159
S3×C22×C6Direct product of C22×C6 and S348S3xC2^2xC6144,195
C2×S3×Dic3Direct product of C2, S3 and Dic348C2xS3xDic3144,146
Dic3×C2×C6Direct product of C2×C6 and Dic348Dic3xC2xC6144,166
C2×C322C8Direct product of C2 and C322C848C2xC3^2:2C8144,134
C2×C4×D9Direct product of C2×C4 and D972C2xC4xD9144,38
C8×C3⋊S3Direct product of C8 and C3⋊S372C8xC3:S3144,85
C23×C3⋊S3Direct product of C23 and C3⋊S372C2^3xC3:S3144,196
C2×C9⋊C8Direct product of C2 and C9⋊C8144C2xC9:C8144,9
C4×C3⋊Dic3Direct product of C4 and C3⋊Dic3144C4xC3:Dic3144,92
C2×C324C8Direct product of C2 and C324C8144C2xC3^2:4C8144,90
C22×C3⋊Dic3Direct product of C22 and C3⋊Dic3144C2^2xC3:Dic3144,176
C2×C4×C3⋊S3Direct product of C2×C4 and C3⋊S372C2xC4xC3:S3144,169

Groups of order 145

C145Cyclic group1451C145145,1

Groups of order 146

C146Cyclic group1461C146146,2
D73Dihedral group732+D73146,1

Groups of order 147

C147Cyclic group1471C147147,2
C723C33rd 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
C7×C21Abelian group of type [7,21]147C7xC21147,6
C7×C7⋊C3Direct product of C7 and C7⋊C3213C7xC7:C3147,3

Groups of order 148

C148Cyclic group1481C148148,2
D74Dihedral group; = C2×D37742+D74148,4
Dic37Dicyclic group; = C372C41482-Dic37148,1
C37⋊C4The semidirect product of C37 and C4 acting faithfully374+C37:C4148,3
C2×C74Abelian group of type [2,74]148C2xC74148,5

Groups of order 149

C149Cyclic group1491C149149,1

Groups of order 150

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
C5×C30Abelian group of type [5,30]150C5xC30150,13
D5×C15Direct product of C15 and D5302D5xC15150,8
C5×D15Direct product of C5 and D15302C5xD15150,11
S3×C25Direct product of C25 and S3752S3xC25150,1
C3×D25Direct product of C3 and D25752C3xD25150,2
S3×C52Direct product of C52 and S375S3xC5^2150,10
C2×C52⋊C3Direct product of C2 and C52⋊C3303C2xC5^2:C3150,7
C3×C5⋊D5Direct product of C3 and C5⋊D575C3xC5:D5150,9

Groups of order 151

C151Cyclic group1511C151151,1

Groups of order 152

C152Cyclic group1521C152152,2
C19⋊C8The semidirect product of C19 and C8 acting via C8/C4=C21522C19:C8152,1
C2×C76Abelian group of type [2,76]152C2xC76152,8
C22×C38Abelian group of type [2,2,38]152C2^2xC38152,12
C4×D19Direct product of C4 and D19762C4xD19152,4
C22×D19Direct product of C22 and D1976C2^2xD19152,11
C2×Dic19Direct product of C2 and Dic19152C2xDic19152,6

Groups of order 153

C153Cyclic group1531C153153,1
C3×C51Abelian group of type [3,51]153C3xC51153,2

Groups of order 154

C154Cyclic group1541C154154,4
D77Dihedral group772+D77154,3
C11×D7Direct product of C11 and D7772C11xD7154,1
C7×D11Direct product of C7 and D11772C7xD11154,2

Groups of order 155

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

Groups of order 156

C156Cyclic group1561C156156,6
D78Dihedral group; = C2×D39782+D78156,17
F13Frobenius group; = C13C12 = AGL1(𝔽13) = Aut(D13) = Hol(C13)1312+F13156,7
Dic39Dicyclic group; = C393C41562-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
C2×C78Abelian group of type [2,78]156C2xC78156,18
S3×D13Direct product of S3 and D13394+S3xD13156,11
A4×C13Direct product of C13 and A4523A4xC13156,13
S3×C26Direct product of C26 and S3782S3xC26156,16
C6×D13Direct product of C6 and D13782C6xD13156,15
Dic3×C13Direct product of C13 and Dic31562Dic3xC13156,3
C3×Dic13Direct product of C3 and Dic131562C3xDic13156,4
C2×C13⋊C6Direct product of C2 and C13⋊C6266+C2xC13:C6156,8
C3×C13⋊C4Direct product of C3 and C13⋊C4394C3xC13:C4156,9
C4×C13⋊C3Direct product of C4 and C13⋊C3523C4xC13:C3156,2
C22×C13⋊C3Direct product of C22 and C13⋊C352C2^2xC13:C3156,12

Groups of order 157

C157Cyclic group1571C157157,1

Groups of order 158

C158Cyclic group1581C158158,2
D79Dihedral group792+D79158,1

Groups of order 159

C159Cyclic group1591C159159,1

Groups of order 160

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
C52C32The semidirect product of C5 and C32 acting via C32/C16=C21602C5:2C32160,1
C4×C40Abelian group of type [4,40]160C4xC40160,46
C2×C80Abelian group of type [2,80]160C2xC80160,59
C22×C40Abelian group of type [2,2,40]160C2^2xC40160,190
C23×C20Abelian group of type [2,2,2,20]160C2^3xC20160,228
C24×C10Abelian group of type [2,2,2,2,10]160C2^4xC10160,238
C2×C4×C20Abelian group of type [2,4,20]160C2xC4xC20160,175
C8×F5Direct product of C8 and F5404C8xF5160,66
C23×F5Direct product of C23 and F540C2^3xF5160,236
D5×C16Direct product of C16 and D5802D5xC16160,4
D5×C42Direct product of C42 and D580D5xC4^2160,92
D5×C24Direct product of C24 and D580D5xC2^4160,237
C8×Dic5Direct product of C8 and Dic5160C8xDic5160,20
C23×Dic5Direct product of C23 and Dic5160C2^3xDic5160,226
C2×C24⋊C5Direct product of C2 and C24⋊C5; = AΣL1(𝔽32)105+C2xC2^4:C5160,235
C2×C4×F5Direct product of C2×C4 and F540C2xC4xF5160,203
D5×C2×C8Direct product of C2×C8 and D580D5xC2xC8160,120
C2×D5⋊C8Direct product of C2 and D5⋊C880C2xD5:C8160,200
D5×C22×C4Direct product of C22×C4 and D580D5xC2^2xC4160,214
C4×C5⋊C8Direct product of C4 and C5⋊C8160C4xC5:C8160,75
C2×C5⋊C16Direct product of C2 and C5⋊C16160C2xC5:C16160,72
C4×C52C8Direct product of C4 and C52C8160C4xC5:2C8160,9
C22×C5⋊C8Direct product of C22 and C5⋊C8160C2^2xC5:C8160,210
C2×C4×Dic5Direct product of C2×C4 and Dic5160C2xC4xDic5160,143
C2×C52C16Direct product of C2 and C52C16160C2xC5:2C16160,18
C22×C52C8Direct product of C22 and C52C8160C2^2xC5:2C8160,141

Groups of order 161

C161Cyclic group1611C161161,1

Groups of order 162

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
C324D92nd semidirect product of C32 and D9 acting via D9/C9=C281C3^2:4D9162,45
C9×C18Abelian group of type [9,18]162C9xC18162,23
C3×C54Abelian group of type [3,54]162C3xC54162,26
C33×C6Abelian group of type [3,3,3,6]162C3^3xC6162,55
C32×C18Abelian group of type [3,3,18]162C3^2xC18162,47
C9×D9Direct product of C9 and D9182C9xD9162,3
S3×C27Direct product of C27 and S3542S3xC27162,8
C3×D27Direct product of C3 and D27542C3xD27162,7
S3×C33Direct product of C33 and S354S3xC3^3162,51
C32×D9Direct product of C32 and D954C3^2xD9162,32
C32×C3⋊S3Direct product of C32 and C3⋊S318C3^2xC3:S3162,52
S3×C3×C9Direct product of C3×C9 and S354S3xC3xC9162,33
C3×C9⋊S3Direct product of C3 and C9⋊S354C3xC9:S3162,38
C9×C3⋊S3Direct product of C9 and C3⋊S354C9xC3:S3162,39
C3×C33⋊C2Direct product of C3 and C33⋊C254C3xC3^3:C2162,53

Groups of order 163

C163Cyclic group1631C163163,1

Groups of order 164

C164Cyclic group1641C164164,2
D82Dihedral group; = C2×D41822+D82164,4
Dic41Dicyclic group; = C412C41642-Dic41164,1
C41⋊C4The semidirect product of C41 and C4 acting faithfully414+C41:C4164,3
C2×C82Abelian group of type [2,82]164C2xC82164,5

Groups of order 165

C165Cyclic group1651C165165,2
C3×C11⋊C5Direct product of C3 and C11⋊C5335C3xC11:C5165,1

Groups of order 166

C166Cyclic group1661C166166,2
D83Dihedral group832+D83166,1

Groups of order 167

C167Cyclic group1671C167167,1

Groups of order 168

C168Cyclic group1681C168168,6
AΓL1(𝔽8)Affine semilinear group on 𝔽81; = F8C3 = 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
C2×C84Abelian group of type [2,84]168C2xC84168,39
C22×C42Abelian group of type [2,2,42]168C2^2xC42168,57
C3×F8Direct product of C3 and F8247C3xF8168,44
A4×D7Direct product of A4 and D7286+A4xD7168,48
C4×F7Direct product of C4 and F7286C4xF7168,8
C22×F7Direct product of C22 and F728C2^2xF7168,47
A4×C14Direct product of C14 and A4423A4xC14168,52
S3×C28Direct product of C28 and S3842S3xC28168,30
C12×D7Direct product of C12 and D7842C12xD7168,25
C4×D21Direct product of C4 and D21842C4xD21168,35
Dic3×D7Direct product of Dic3 and D7844-Dic3xD7168,12
S3×Dic7Direct product of S3 and Dic7844-S3xDic7168,13
C22×D21Direct product of C22 and D2184C2^2xD21168,56
C6×Dic7Direct product of C6 and Dic7168C6xDic7168,27
Dic3×C14Direct product of C14 and Dic3168Dic3xC14168,32
C2×Dic21Direct product of C2 and Dic21168C2xDic21168,37
C2×C7⋊A4Direct product of C2 and C7⋊A4423C2xC7:A4168,53
C2×S3×D7Direct product of C2, S3 and D7424+C2xS3xD7168,50
C8×C7⋊C3Direct product of C8 and C7⋊C3563C8xC7:C3168,2
C2×C7⋊C12Direct product of C2 and C7⋊C1256C2xC7:C12168,10
C23×C7⋊C3Direct product of C23 and C7⋊C356C2^3xC7:C3168,51
C2×C6×D7Direct product of C2×C6 and D784C2xC6xD7168,54
S3×C2×C14Direct product of C2×C14 and S384S3xC2xC14168,55
C7×C3⋊C8Direct product of C7 and C3⋊C81682C7xC3:C8168,3
C3×C7⋊C8Direct product of C3 and C7⋊C81682C3xC7:C8168,4
C2×C4×C7⋊C3Direct product of C2×C4 and C7⋊C356C2xC4xC7:C3168,19

Groups of order 169

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

Groups of order 170

C170Cyclic group1701C170170,4
D85Dihedral group852+D85170,3
D5×C17Direct product of C17 and D5852D5xC17170,1
C5×D17Direct product of C5 and D17852C5xD17170,2

Groups of order 171

C171Cyclic group1711C171171,2
C19⋊C9The semidirect product of C19 and C9 acting faithfully199C19:C9171,3
C192C9The semidirect product of C19 and C9 acting via C9/C3=C31713C19:2C9171,1
C3×C57Abelian group of type [3,57]171C3xC57171,5
C3×C19⋊C3Direct product of C3 and C19⋊C3573C3xC19:C3171,4

Groups of order 172

C172Cyclic group1721C172172,2
D86Dihedral group; = C2×D43862+D86172,3
Dic43Dicyclic group; = C43C41722-Dic43172,1
C2×C86Abelian group of type [2,86]172C2xC86172,4

Groups of order 173

C173Cyclic group1731C173173,1

Groups of order 174

C174Cyclic group1741C174174,4
D87Dihedral group872+D87174,3
S3×C29Direct product of C29 and S3872S3xC29174,1
C3×D29Direct product of C3 and D29872C3xD29174,2

Groups of order 175

C175Cyclic group1751C175175,1
C5×C35Abelian group of type [5,35]175C5xC35175,2

Groups of order 176

C176Cyclic group1761C176176,2
C11⋊C16The semidirect product of C11 and C16 acting via C16/C8=C21762C11:C16176,1
C4×C44Abelian group of type [4,44]176C4xC44176,19
C2×C88Abelian group of type [2,88]176C2xC88176,22
C22×C44Abelian group of type [2,2,44]176C2^2xC44176,37
C23×C22Abelian group of type [2,2,2,22]176C2^3xC22176,42
C8×D11Direct product of C8 and D11882C8xD11176,3
C23×D11Direct product of C23 and D1188C2^3xD11176,41
C4×Dic11Direct product of C4 and Dic11176C4xDic11176,10
C22×Dic11Direct product of C22 and Dic11176C2^2xDic11176,35
C2×C4×D11Direct product of C2×C4 and D1188C2xC4xD11176,28
C2×C11⋊C8Direct product of C2 and C11⋊C8176C2xC11:C8176,8

Groups of order 177

C177Cyclic group1771C177177,1

Groups of order 178

C178Cyclic group1781C178178,2
D89Dihedral group892+D89178,1

Groups of order 179

C179Cyclic group1791C179179,1

Groups of order 180

C180Cyclic group1801C180180,4
D90Dihedral group; = C2×D45902+D90180,11
Dic45Dicyclic group; = C9Dic51802-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
C323F52nd 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
C2×C90Abelian group of type [2,90]180C2xC90180,12
C3×C60Abelian group of type [3,60]180C3xC60180,18
C6×C30Abelian group of type [6,30]180C6xC30180,37
C3×A5Direct product of C3 and A5; = GL2(𝔽4)153C3xA5180,19
S3×D15Direct product of S3 and D15304+S3xD15180,29
D5×D9Direct product of D5 and D9454+D5xD9180,7
C9×F5Direct product of C9 and F5454C9xF5180,5
C32×F5Direct product of C32 and F545C3^2xF5180,20
S3×C30Direct product of C30 and S3602S3xC30180,33
A4×C15Direct product of C15 and A4603A4xC15180,31
C6×D15Direct product of C6 and D15602C6xD15180,34
Dic3×C15Direct product of C15 and Dic3602Dic3xC15180,14
C3×Dic15Direct product of C3 and Dic15602C3xDic15180,15
D5×C18Direct product of C18 and D5902D5xC18180,9
C10×D9Direct product of C10 and D9902C10xD9180,10
C5×Dic9Direct product of C5 and Dic91802C5xDic9180,1
C9×Dic5Direct product of C9 and Dic51802C9xDic5180,2
C32×Dic5Direct product of C32 and Dic5180C3^2xDic5180,13
C5×S32Direct product of C5, S3 and S3304C5xS3^2180,28
C3×S3×D5Direct product of C3, S3 and D5304C3xS3xD5180,26
C3×C3⋊F5Direct product of C3 and C3⋊F5304C3xC3:F5180,21
C5×C32⋊C4Direct product of C5 and C32⋊C4304C5xC3^2:C4180,23
D5×C3⋊S3Direct product of D5 and C3⋊S345D5xC3:S3180,27
D5×C3×C6Direct product of C3×C6 and D590D5xC3xC6180,32
C10×C3⋊S3Direct product of C10 and C3⋊S390C10xC3:S3180,35
C2×C3⋊D15Direct product of C2 and C3⋊D1590C2xC3:D15180,36
C5×C3.A4Direct product of C5 and C3.A4903C5xC3.A4180,8
C5×C3⋊Dic3Direct product of C5 and C3⋊Dic3180C5xC3:Dic3180,16

Groups of order 181

C181Cyclic group1811C181181,1

Groups of order 182

C182Cyclic group1821C182182,4
D91Dihedral group912+D91182,3
C13×D7Direct product of C13 and D7912C13xD7182,1
C7×D13Direct product of C7 and D13912C7xD13182,2

Groups of order 183

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

Groups of order 184

C184Cyclic group1841C184184,2
C23⋊C8The semidirect product of C23 and C8 acting via C8/C4=C21842C23:C8184,1
C2×C92Abelian group of type [2,92]184C2xC92184,8
C22×C46Abelian group of type [2,2,46]184C2^2xC46184,12
C4×D23Direct product of C4 and D23922C4xD23184,4
C22×D23Direct product of C22 and D2392C2^2xD23184,11
C2×Dic23Direct product of C2 and Dic23184C2xDic23184,6

Groups of order 185

C185Cyclic group1851C185185,1

Groups of order 186

C186Cyclic group1861C186186,6
D93Dihedral group932+D93186,5
C31⋊C6The semidirect product of C31 and C6 acting faithfully316+C31:C6186,1
S3×C31Direct product of C31 and S3932S3xC31186,3
C3×D31Direct product of C3 and D31932C3xD31186,4
C2×C31⋊C3Direct product of C2 and C31⋊C3623C2xC31:C3186,2

Groups of order 187

C187Cyclic group1871C187187,1

Groups of order 188

C188Cyclic group1881C188188,2
D94Dihedral group; = C2×D47942+D94188,3
Dic47Dicyclic group; = C47C41882-Dic47188,1
C2×C94Abelian group of type [2,94]188C2xC94188,4

Groups of order 189

C189Cyclic group1891C189189,2
C7⋊C27The semidirect product of C7 and C27 acting via C27/C9=C31893C7:C27189,1
C3×C63Abelian group of type [3,63]189C3xC63189,9
C32×C21Abelian group of type [3,3,21]189C3^2xC21189,13
C9×C7⋊C3Direct product of C9 and C7⋊C3633C9xC7:C3189,3
C32×C7⋊C3Direct product of C32 and C7⋊C363C3^2xC7:C3189,12
C3×C7⋊C9Direct product of C3 and C7⋊C9189C3xC7:C9189,6

Groups of order 190

C190Cyclic group1901C190190,4
D95Dihedral group952+D95190,3
D5×C19Direct product of C19 and D5952D5xC19190,1
C5×D19Direct product of C5 and D19952C5xD19190,2

Groups of order 191

C191Cyclic group1911C191191,1

Groups of order 192

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
C422A4The 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
C8×C24Abelian group of type [8,24]192C8xC24192,127
C4×C48Abelian group of type [4,48]192C4xC48192,151
C2×C96Abelian group of type [2,96]192C2xC96192,175
C25×C6Abelian group of type [2,2,2,2,2,6]192C2^5xC6192,1543
C42×C12Abelian group of type [4,4,12]192C4^2xC12192,807
C22×C48Abelian group of type [2,2,48]192C2^2xC48192,935
C23×C24Abelian group of type [2,2,2,24]192C2^3xC24192,1454
C24×C12Abelian group of type [2,2,2,2,12]192C2^4xC12192,1530
C2×C4×C24Abelian group of type [2,4,24]192C2xC4xC24192,835
C22×C4×C12Abelian group of type [2,2,4,12]192C2^2xC4xC12192,1400
A4×C16Direct product of C16 and A4483A4xC16192,203
A4×C42Direct product of C42 and A448A4xC4^2192,993
A4×C24Direct product of C24 and A448A4xC2^4192,1539
S3×C32Direct product of C32 and S3962S3xC32192,5
S3×C25Direct product of C25 and S396S3xC2^5192,1542
Dic3×C16Direct product of C16 and Dic3192Dic3xC16192,59
Dic3×C42Direct product of C42 and Dic3192Dic3xC4^2192,489
Dic3×C24Direct product of C24 and Dic3192Dic3xC2^4192,1528
C4×C42⋊C3Direct product of C4 and C42⋊C3123C4xC4^2:C3192,188
C22×C22⋊A4Direct product of C22 and C22⋊A412C2^2xC2^2:A4192,1540
C4×C22⋊A4Direct product of C4 and C22⋊A424C4xC2^2:A4192,1505
C22×C42⋊C3Direct product of C22 and C42⋊C324C2^2xC4^2:C3192,992
A4×C2×C8Direct product of C2×C8 and A448A4xC2xC8192,1010
A4×C22×C4Direct product of C22×C4 and A448A4xC2^2xC4192,1496
S3×C4×C8Direct product of C4×C8 and S396S3xC4xC8192,243
S3×C2×C16Direct product of C2×C16 and S396S3xC2xC16192,458
S3×C2×C42Direct product of C2×C42 and S396S3xC2xC4^2192,1030
S3×C22×C8Direct product of C22×C8 and S396S3xC2^2xC8192,1295
S3×C23×C4Direct product of C23×C4 and S396S3xC2^3xC4192,1511
C8×C3⋊C8Direct product of C8 and C3⋊C8192C8xC3:C8192,12
C4×C3⋊C16Direct product of C4 and C3⋊C16192C4xC3:C16192,19
C2×C3⋊C32Direct product of C2 and C3⋊C32192C2xC3:C32192,57
C23×C3⋊C8Direct product of C23 and C3⋊C8192C2^3xC3:C8192,1339
Dic3×C2×C8Direct product of C2×C8 and Dic3192Dic3xC2xC8192,657
C22×C3⋊C16Direct product of C22 and C3⋊C16192C2^2xC3:C16192,655
Dic3×C22×C4Direct product of C22×C4 and Dic3192Dic3xC2^2xC4192,1341
C2×C4×C3⋊C8Direct product of C2×C4 and C3⋊C8192C2xC4xC3:C8192,479

Groups of order 193

C193Cyclic group1931C193193,1

Groups of order 194

C194Cyclic group1941C194194,2
D97Dihedral group972+D97194,1

Groups of order 195

C195Cyclic group1951C195195,2
C5×C13⋊C3Direct product of C5 and C13⋊C3653C5xC13:C3195,1

Groups of order 196

C196Cyclic group1961C196196,2
D98Dihedral group; = C2×D49982+D98196,3
Dic49Dicyclic group; = C49C41962-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
C2×C98Abelian group of type [2,98]196C2xC98196,4
C7×C28Abelian group of type [7,28]196C7xC28196,7
D72Direct product of D7 and D7144+D7^2196,9
D7×C14Direct product of C14 and D7282D7xC14196,10
C7×Dic7Direct product of C7 and Dic7282C7xDic7196,5
C2×C7⋊D7Direct product of C2 and C7⋊D798C2xC7:D7196,11

Groups of order 197

C197Cyclic group1971C197197,1

Groups of order 198

C198Cyclic group1981C198198,4
D99Dihedral group992+D99198,3
C3⋊D33The semidirect product of C3 and D33 acting via D33/C33=C299C3:D33198,9
C3×C66Abelian group of type [3,66]198C3xC66198,10
S3×C33Direct product of C33 and S3662S3xC33198,6
C3×D33Direct product of C3 and D33662C3xD33198,7
C11×D9Direct product of C11 and D9992C11xD9198,1
C9×D11Direct product of C9 and D11992C9xD11198,2
C32×D11Direct product of C32 and D1199C3^2xD11198,5
C11×C3⋊S3Direct product of C11 and C3⋊S399C11xC3:S3198,8

Groups of order 199

C199Cyclic group1991C199199,1

Groups of order 200

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
Dic52D5The semidirect product of Dic5 and D5 acting through Inn(Dic5)204+Dic5:2D5200,23
C523C82nd semidirect product of C52 and C8 acting via C8/C2=C4404C5^2:3C8200,19
C525C84th 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
C252C8The semidirect product of C25 and C8 acting via C8/C4=C22002C25:2C8200,1
C527C82nd semidirect product of C52 and C8 acting via C8/C4=C2200C5^2:7C8200,16
C524C83rd semidirect product of C52 and C8 acting via C8/C2=C4200C5^2:4C8200,20
C5×C40Abelian group of type [5,40]200C5xC40200,17
C2×C100Abelian group of type [2,100]200C2xC100200,9
C10×C20Abelian group of type [10,20]200C10xC20200,37
C22×C50Abelian group of type [2,2,50]200C2^2xC50200,14
C2×C102Abelian group of type [2,10,10]200C2xC10^2200,52
D5×F5Direct product of D5 and F5208+D5xF5200,41
D5×C20Direct product of C20 and D5402D5xC20200,28
C10×F5Direct product of C10 and F5404C10xF5200,45
D5×Dic5Direct product of D5 and Dic5404-D5xDic5200,22
C10×Dic5Direct product of C10 and Dic540C10xDic5200,30
C4×D25Direct product of C4 and D251002C4xD25200,5
C22×D25Direct product of C22 and D25100C2^2xD25200,13
C2×Dic25Direct product of C2 and Dic25200C2xDic25200,7
C2×D52Direct product of C2, D5 and D5204+C2xD5^2200,49
C2×C52⋊C4Direct product of C2 and C52⋊C4204+C2xC5^2:C4200,48
C5×C5⋊C8Direct product of C5 and C5⋊C8404C5xC5:C8200,18
D5×C2×C10Direct product of C2×C10 and D540D5xC2xC10200,50
C5×C52C8Direct product of C5 and C52C8402C5xC5:2C8200,15
C2×D5.D5Direct product of C2 and D5.D5404C2xD5.D5200,46
C2×C25⋊C4Direct product of C2 and C25⋊C4504+C2xC25:C4200,12
C2×C5⋊F5Direct product of C2 and C5⋊F550C2xC5:F5200,47
C4×C5⋊D5Direct product of C4 and C5⋊D5100C4xC5:D5200,33
C22×C5⋊D5Direct product of C22 and C5⋊D5100C2^2xC5:D5200,51
C2×C526C4Direct product of C2 and C526C4200C2xC5^2:6C4200,35

Groups of order 201

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

Groups of order 202

C202Cyclic group2021C202202,2
D101Dihedral group1012+D101202,1

Groups of order 203

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

Groups of order 204

C204Cyclic group2041C204204,4
D102Dihedral group; = C2×D511022+D102204,11
Dic51Dicyclic group; = C513C42042-Dic51204,3
C51⋊C41st semidirect product of C51 and C4 acting faithfully514C51:C4204,6
C2×C102Abelian group of type [2,102]204C2xC102204,12
S3×D17Direct product of S3 and D17514+S3xD17204,7
A4×C17Direct product of C17 and A4683A4xC17204,8
S3×C34Direct product of C34 and S31022S3xC34204,10
C6×D17Direct product of C6 and D171022C6xD17204,9
Dic3×C17Direct product of C17 and Dic32042Dic3xC17204,1
C3×Dic17Direct product of C3 and Dic172042C3xDic17204,2
C3×C17⋊C4Direct product of C3 and C17⋊C4514C3xC17:C4204,5

Groups of order 205

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

Groups of order 206

C206Cyclic group2061C206206,2
D103Dihedral group1032+D103206,1

Groups of order 207

C207Cyclic group2071C207207,1
C3×C69Abelian group of type [3,69]207C3xC69207,2

Groups of order 208

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
C132C16The semidirect product of C13 and C16 acting via C16/C8=C22082C13:2C16208,1
C4×C52Abelian group of type [4,52]208C4xC52208,20
C2×C104Abelian group of type [2,104]208C2xC104208,23
C22×C52Abelian group of type [2,2,52]208C2^2xC52208,45
C23×C26Abelian group of type [2,2,2,26]208C2^3xC26208,51
C8×D13Direct product of C8 and D131042C8xD13208,4
C23×D13Direct product of C23 and D13104C2^3xD13208,50
C4×Dic13Direct product of C4 and Dic13208C4xDic13208,11
C22×Dic13Direct product of C22 and Dic13208C2^2xDic13208,43
C4×C13⋊C4Direct product of C4 and C13⋊C4524C4xC13:C4208,30
C22×C13⋊C4Direct product of C22 and C13⋊C452C2^2xC13:C4208,49
C2×C4×D13Direct product of C2×C4 and D13104C2xC4xD13208,36
C2×C13⋊C8Direct product of C2 and C13⋊C8208C2xC13:C8208,32
C2×C132C8Direct product of C2 and C132C8208C2xC13:2C8208,9

Groups of order 209

C209Cyclic group2091C209209,1

Groups of order 210

C210Cyclic group2101C210210,12
D105Dihedral group1052+D105210,11
C5⋊F7The semidirect product of C5 and F7 acting via F7/C7⋊C3=C2356+C5:F7210,3
C5×F7Direct product of C5 and F7356C5xF7210,1
S3×C35Direct product of C35 and S31052S3xC35210,8
D7×C15Direct product of C15 and D71052D7xC15210,5
D5×C21Direct product of C21 and D51052D5xC21210,6
C3×D35Direct product of C3 and D351052C3xD35210,7
C5×D21Direct product of C5 and D211052C5xD21210,9
C7×D15Direct product of C7 and D151052C7xD15210,10
D5×C7⋊C3Direct product of D5 and C7⋊C3356D5xC7:C3210,2
C10×C7⋊C3Direct product of C10 and C7⋊C3703C10xC7:C3210,4

Groups of order 211

C211Cyclic group2111C211211,1

Groups of order 212

C212Cyclic group2121C212212,2
D106Dihedral group; = C2×D531062+D106212,4
Dic53Dicyclic group; = C532C42122-Dic53212,1
C53⋊C4The semidirect product of C53 and C4 acting faithfully534+C53:C4212,3
C2×C106Abelian group of type [2,106]212C2xC106212,5

Groups of order 213

C213Cyclic group2131C213213,1

Groups of order 214

C214Cyclic group2141C214214,2
D107Dihedral group1072+D107214,1

Groups of order 215

C215Cyclic group2151C215215,1

Groups of order 216

C216Cyclic group2161C216216,2
C3⋊F9The semidirect product of C3 and F9 acting via F9/C32⋊C4=C2248C3:F9216,155
C334C82nd 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
C337C83rd semidirect product of C33 and C8 acting via C8/C4=C2216C3^3:7C8216,84
C339(C2×C4)6th semidirect product of C33 and C2×C4 acting via C2×C4/C2=C22244C3^3:9(C2xC4)216,131
C338(C2×C4)5th semidirect product of C33 and C2×C4 acting via C2×C4/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
C3×C72Abelian group of type [3,72]216C3xC72216,18
C6×C36Abelian group of type [6,36]216C6xC36216,73
C2×C108Abelian group of type [2,108]216C2xC108216,9
C22×C54Abelian group of type [2,2,54]216C2^2xC54216,24
C32×C24Abelian group of type [3,3,24]216C3^2xC24216,85
C2×C6×C18Abelian group of type [2,6,18]216C2xC6xC18216,114
C3×C6×C12Abelian group of type [3,6,12]216C3xC6xC12216,150
C3×F9Direct product of C3 and F9248C3xF9216,154
A4×D9Direct product of A4 and D9366+A4xD9216,97
A4×C18Direct product of C18 and A4543A4xC18216,103
S3×C36Direct product of C36 and S3722S3xC36216,47
C12×D9Direct product of C12 and D9722C12xD9216,45
S3×C62Direct product of C62 and S372S3xC6^2216,174
Dic3×D9Direct product of Dic3 and D9724-Dic3xD9216,27
S3×Dic9Direct product of S3 and Dic9724-S3xDic9216,30
C6×Dic9Direct product of C6 and Dic972C6xDic9216,55
Dic3×C18Direct product of C18 and Dic372Dic3xC18216,56
C4×D27Direct product of C4 and D271082C4xD27216,5
C22×D27Direct product of C22 and D27108C2^2xD27216,23
C2×Dic27Direct product of C2 and Dic27216C2xDic27216,7
S33Direct product of S3, S3 and S3; = Hol(C3×S3)128+S3^3216,162
S3×C32⋊C4Direct product of S3 and C32⋊C4128+S3xC3^2:C4216,156
S32×C6Direct product of C6, S3 and S3244S3^2xC6216,170
C3×S3×A4Direct product of C3, S3 and A4246C3xS3xA4216,166
C6×C32⋊C4Direct product of C6 and C32⋊C4244C6xC3^2:C4216,168
C3×S3×Dic3Direct product of C3, S3 and Dic3244C3xS3xDic3216,119
C2×C33⋊C4Direct product of C2 and C33⋊C4244C2xC3^3:C4216,169
C3×C6.D6Direct product of C3 and C6.D6244C3xC6.D6216,120
C3×C322C8Direct product of C3 and C322C8244C3xC3^2:2C8216,117
C2×C324D6Direct product of C2 and C324D6244C2xC3^2:4D6216,172
C2×S3×D9Direct product of C2, S3 and D9364+C2xS3xD9216,101
A4×C3⋊S3Direct product of A4 and C3⋊S336A4xC3:S3216,167
S3×C3.A4Direct product of S3 and C3.A4366S3xC3.A4216,98
A4×C3×C6Direct product of C3×C6 and A454A4xC3xC6216,173
C2×C9.A4Direct product of C2 and C9.A4543C2xC9.A4216,22
C6×C3.A4Direct product of C6 and C3.A454C6xC3.A4216,105
C3×C9⋊C8Direct product of C3 and C9⋊C8722C3xC9:C8216,12
C9×C3⋊C8Direct product of C9 and C3⋊C8722C9xC3:C8216,13
C2×C6×D9Direct product of C2×C6 and D972C2xC6xD9216,108
S3×C2×C18Direct product of C2×C18 and S372S3xC2xC18216,109
S3×C3×C12Direct product of C3×C12 and S372S3xC3xC12216,136
C12×C3⋊S3Direct product of C12 and C3⋊S372C12xC3:S3216,141
C32×C3⋊C8Direct product of C32 and C3⋊C872C3^2xC3:C8216,82
Dic3×C3×C6Direct product of C3×C6 and Dic372Dic3xC3xC6216,138
S3×C3⋊Dic3Direct product of S3 and C3⋊Dic372S3xC3:Dic3216,124
Dic3×C3⋊S3Direct product of Dic3 and C3⋊S372Dic3xC3:S3216,125
C6×C3⋊Dic3Direct product of C6 and C3⋊Dic372C6xC3:Dic3216,143
C3×C324C8Direct product of C3 and C324C872C3xC3^2:4C8216,83
C4×C9⋊S3Direct product of C4 and C9⋊S3108C4xC9:S3216,64
C22×C9⋊S3Direct product of C22 and C9⋊S3108C2^2xC9:S3216,112
C4×C33⋊C2Direct product of C4 and C33⋊C2108C4xC3^3:C2216,146
C22×C33⋊C2Direct product of C22 and C33⋊C2108C2^2xC3^3:C2216,176
C2×C9⋊Dic3Direct product of C2 and C9⋊Dic3216C2xC9:Dic3216,69
C2×C335C4Direct product of C2 and C335C4216C2xC3^3:5C4216,148
C2×S3×C3⋊S3Direct product of C2, S3 and C3⋊S336C2xS3xC3:S3216,171
C2×C6×C3⋊S3Direct product of C2×C6 and C3⋊S372C2xC6xC3:S3216,175

Groups of order 217

C217Cyclic group2171C217217,1

Groups of order 218

C218Cyclic group2181C218218,2
D109Dihedral group1092+D109218,1

Groups of order 219

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

Groups of order 220

C220Cyclic group2201C220220,6
D110Dihedral group; = C2×D551102+D110220,14
Dic55Dicyclic group; = C553C42202-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
C2×C110Abelian group of type [2,110]220C2xC110220,15
C2×F11Direct product of C2 and F11; = Aut(D22) = Hol(C22)2210+C2xF11220,7
D5×D11Direct product of D5 and D11554+D5xD11220,11
C11×F5Direct product of C11 and F5554C11xF5220,9
D5×C22Direct product of C22 and D51102D5xC22220,13
C10×D11Direct product of C10 and D111102C10xD11220,12
C11×Dic5Direct product of C11 and Dic52202C11xDic5220,3
C5×Dic11Direct product of C5 and Dic112202C5xDic11220,4
C4×C11⋊C5Direct product of C4 and C11⋊C5445C4xC11:C5220,2
C22×C11⋊C5Direct product of C22 and C11⋊C544C2^2xC11:C5220,8

Groups of order 221

C221Cyclic group2211C221221,1

Groups of order 222

C222Cyclic group2221C222222,6
D111Dihedral group1112+D111222,5
C37⋊C6The semidirect product of C37 and C6 acting faithfully376+C37:C6222,1
S3×C37Direct product of C37 and S31112S3xC37222,3
C3×D37Direct product of C3 and D371112C3xD37222,4
C2×C37⋊C3Direct product of C2 and C37⋊C3743C2xC37:C3222,2

Groups of order 223

C223Cyclic group2231C223223,1

Groups of order 224

C224Cyclic group2241C224224,2
C7⋊C32The semidirect product of C7 and C32 acting via C32/C16=C22242C7:C32224,1
C4×C56Abelian group of type [4,56]224C4xC56224,45
C2×C112Abelian group of type [2,112]224C2xC112224,58
C22×C56Abelian group of type [2,2,56]224C2^2xC56224,164
C23×C28Abelian group of type [2,2,2,28]224C2^3xC28224,189
C24×C14Abelian group of type [2,2,2,2,14]224C2^4xC14224,197
C2×C4×C28Abelian group of type [2,4,28]224C2xC4xC28224,149
C4×F8Direct product of C4 and F8287C4xF8224,173
C22×F8Direct product of C22 and F828C2^2xF8224,195
D7×C16Direct product of C16 and D71122D7xC16224,3
D7×C42Direct product of C42 and D7112D7xC4^2224,66
D7×C24Direct product of C24 and D7112D7xC2^4224,196
C8×Dic7Direct product of C8 and Dic7224C8xDic7224,19
C23×Dic7Direct product of C23 and Dic7224C2^3xDic7224,187
D7×C2×C8Direct product of C2×C8 and D7112D7xC2xC8224,94
D7×C22×C4Direct product of C22×C4 and D7112D7xC2^2xC4224,175
C4×C7⋊C8Direct product of C4 and C7⋊C8224C4xC7:C8224,8
C2×C7⋊C16Direct product of C2 and C7⋊C16224C2xC7:C16224,17
C22×C7⋊C8Direct product of C22 and C7⋊C8224C2^2xC7:C8224,115
C2×C4×Dic7Direct product of C2×C4 and Dic7224C2xC4xDic7224,117

Groups of order 225

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
C3×C75Abelian group of type [3,75]225C3xC75225,2
C5×C45Abelian group of type [5,45]225C5xC45225,4
C3×C52⋊C3Direct product of C3 and C52⋊C3453C3xC5^2:C3225,5

Groups of order 226

C226Cyclic group2261C226226,2
D113Dihedral group1132+D113226,1

Groups of order 227

C227Cyclic group2271C227227,1

Groups of order 228

C228Cyclic group2281C228228,6
D114Dihedral group; = C2×D571142+D114228,14
Dic57Dicyclic group; = C571C42282-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
C2×C114Abelian group of type [2,114]228C2xC114228,15
S3×D19Direct product of S3 and D19574+S3xD19228,8
A4×C19Direct product of C19 and A4763A4xC19228,10
S3×C38Direct product of C38 and S31142S3xC38228,13
C6×D19Direct product of C6 and D191142C6xD19228,12
Dic3×C19Direct product of C19 and Dic32282Dic3xC19228,3
C3×Dic19Direct product of C3 and Dic192282C3xDic19228,4
C2×C19⋊C6Direct product of C2 and C19⋊C6386+C2xC19:C6228,7
C4×C19⋊C3Direct product of C4 and C19⋊C3763C4xC19:C3228,2
C22×C19⋊C3Direct product of C22 and C19⋊C376C2^2xC19:C3228,9

Groups of order 229

C229Cyclic group2291C229229,1

Groups of order 230

C230Cyclic group2301C230230,4
D115Dihedral group1152+D115230,3
D5×C23Direct product of C23 and D51152D5xC23230,1
C5×D23Direct product of C5 and D231152C5xD23230,2

Groups of order 231

C231Cyclic group2311C231231,2
C11×C7⋊C3Direct product of C11 and C7⋊C3773C11xC7:C3231,1

Groups of order 232

C232Cyclic group2321C232232,2
C29⋊C8The semidirect product of C29 and C8 acting via C8/C2=C42324-C29:C8232,3
C292C8The semidirect product of C29 and C8 acting via C8/C4=C22322C29:2C8232,1
C2×C116Abelian group of type [2,116]232C2xC116232,9
C22×C58Abelian group of type [2,2,58]232C2^2xC58232,14
C4×D29Direct product of C4 and D291162C4xD29232,5
C22×D29Direct product of C22 and D29116C2^2xD29232,13
C2×Dic29Direct product of C2 and Dic29232C2xDic29232,7
C2×C29⋊C4Direct product of C2 and C29⋊C4584+C2xC29:C4232,12

Groups of order 233

C233Cyclic group2331C233233,1

Groups of order 234

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
C3×C78Abelian group of type [3,78]234C3xC78234,16
S3×C39Direct product of C39 and S3782S3xC39234,12
C3×D39Direct product of C3 and D39782C3xD39234,13
C13×D9Direct product of C13 and D91172C13xD9234,3
C9×D13Direct product of C9 and D131172C9xD13234,4
C32×D13Direct product of C32 and D13117C3^2xD13234,11
C3×C13⋊C6Direct product of C3 and C13⋊C6396C3xC13:C6234,7
S3×C13⋊C3Direct product of S3 and C13⋊C3396S3xC13:C3234,8
C6×C13⋊C3Direct product of C6 and C13⋊C3783C6xC13:C3234,10
C13×C3⋊S3Direct product of C13 and C3⋊S3117C13xC3:S3234,14
C2×C13⋊C9Direct product of C2 and C13⋊C92343C2xC13:C9234,2

Groups of order 235

C235Cyclic group2351C235235,1

Groups of order 236

C236Cyclic group2361C236236,2
D118Dihedral group; = C2×D591182+D118236,3
Dic59Dicyclic group; = C59C42362-Dic59236,1
C2×C118Abelian group of type [2,118]236C2xC118236,4

Groups of order 237

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

Groups of order 238

C238Cyclic group2381C238238,4
D119Dihedral group1192+D119238,3
D7×C17Direct product of C17 and D71192D7xC17238,1
C7×D17Direct product of C7 and D171192C7xD17238,2

Groups of order 239

C239Cyclic group2391C239239,1

Groups of order 240

C240Cyclic group2401C240240,4
F16Frobenius group; = C24C15 = AGL1(𝔽16)1615+F16240,191
D15⋊C8The semidirect product of D15 and C8 acting via C8/C2=C41208+D15:C8240,99
D152C8The semidirect product of D15 and C8 acting via C8/C4=C21204D15:2C8240,9
C153C161st 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
C4×C60Abelian group of type [4,60]240C4xC60240,81
C2×C120Abelian group of type [2,120]240C2xC120240,84
C22×C60Abelian group of type [2,2,60]240C2^2xC60240,185
C23×C30Abelian group of type [2,2,2,30]240C2^3xC30240,208
C4×A5Direct product of C4 and A5203C4xA5240,92
A4×F5Direct product of A4 and F52012+A4xF5240,193
C22×A5Direct product of C22 and A520C2^2xA5240,190
A4×C20Direct product of C20 and A4603A4xC20240,152
C12×F5Direct product of C12 and F5604C12xF5240,113
Dic3×F5Direct product of Dic3 and F5608-Dic3xF5240,95
A4×Dic5Direct product of A4 and Dic5606-A4xDic5240,110
S3×C40Direct product of C40 and S31202S3xC40240,49
D5×C24Direct product of C24 and D51202D5xC24240,33
C8×D15Direct product of C8 and D151202C8xD15240,65
C23×D15Direct product of C23 and D15120C2^3xD15240,207
C12×Dic5Direct product of C12 and Dic5240C12xDic5240,40
Dic3×C20Direct product of C20 and Dic3240Dic3xC20240,56
C4×Dic15Direct product of C4 and Dic15240C4xDic15240,72
Dic3×Dic5Direct product of Dic3 and Dic5240Dic3xDic5240,25
C22×Dic15Direct product of C22 and Dic15240C2^2xDic15240,183
C2×D5×A4Direct product of C2, D5 and A4306+C2xD5xA4240,198
C2×S3×F5Direct product of C2, S3 and F5; = Aut(D30) = Hol(C30)308+C2xS3xF5240,195
C3×C24⋊C5Direct product of C3 and C24⋊C5305C3xC2^4:C5240,199
C4×S3×D5Direct product of C4, S3 and D5604C4xS3xD5240,135
C4×C3⋊F5Direct product of C4 and C3⋊F5604C4xC3:F5240,120
C2×C6×F5Direct product of C2×C6 and F560C2xC6xF5240,200
A4×C2×C10Direct product of C2×C10 and A460A4xC2xC10240,203
C5×C42⋊C3Direct product of C5 and C42⋊C3603C5xC4^2:C3240,32
C22×S3×D5Direct product of C22, S3 and D560C2^2xS3xD5240,202
C22×C3⋊F5Direct product of C22 and C3⋊F560C2^2xC3:F5240,201
C5×C22⋊A4Direct product of C5 and C22⋊A460C5xC2^2:A4240,204
S3×C5⋊C8Direct product of S3 and C5⋊C81208-S3xC5:C8240,98
D5×C3⋊C8Direct product of D5 and C3⋊C81204D5xC3:C8240,7
S3×C2×C20Direct product of C2×C20 and S3120S3xC2xC20240,166
D5×C2×C12Direct product of C2×C12 and D5120D5xC2xC12240,156
C2×C4×D15Direct product of C2×C4 and D15120C2xC4xD15240,176
S3×C52C8Direct product of S3 and C52C81204S3xC5:2C8240,8
C3×D5⋊C8Direct product of C3 and D5⋊C81204C3xD5:C8240,111
C2×D5×Dic3Direct product of C2, D5 and Dic3120C2xD5xDic3240,139
C2×S3×Dic5Direct product of C2, S3 and Dic5120C2xS3xDic5240,142
D5×C22×C6Direct product of C22×C6 and D5120D5xC2^2xC6240,205
S3×C22×C10Direct product of C22×C10 and S3120S3xC2^2xC10240,206
C2×D30.C2Direct product of C2 and D30.C2120C2xD30.C2240,144
C6×C5⋊C8Direct product of C6 and C5⋊C8240C6xC5:C8240,115
C5×C3⋊C16Direct product of C5 and C3⋊C162402C5xC3:C16240,1
C3×C5⋊C16Direct product of C3 and C5⋊C162404C3xC5:C16240,5
C10×C3⋊C8Direct product of C10 and C3⋊C8240C10xC3:C8240,54
C6×C52C8Direct product of C6 and C52C8240C6xC5:2C8240,38
C2×C15⋊C8Direct product of C2 and C15⋊C8240C2xC15:C8240,122
C2×C6×Dic5Direct product of C2×C6 and Dic5240C2xC6xDic5240,163
C3×C52C16Direct product of C3 and C52C162402C3xC5:2C16240,2
C2×C153C8Direct product of C2 and C153C8240C2xC15:3C8240,70
Dic3×C2×C10Direct product of C2×C10 and Dic3240Dic3xC2xC10240,173

Groups of order 241

C241Cyclic group2411C241241,1

Groups of order 242

C242Cyclic group2421C242242,2
D121Dihedral group1212+D121242,1
C11⋊D11The semidirect product of C11 and D11 acting via D11/C11=C2121C11:D11242,4
C11×C22Abelian group of type [11,22]242C11xC22242,5
C11×D11Direct product of C11 and D11; = AΣL1(𝔽121)222C11xD11242,3

Groups of order 243

C243Cyclic group2431C243243,1
C35Elementary abelian group of type [3,3,3,3,3]243C3^5243,67
C9×C27Abelian group of type [9,27]243C9xC27243,10
C3×C81Abelian group of type [3,81]243C3xC81243,23
C3×C92Abelian group of type [3,9,9]243C3xC9^2243,31
C33×C9Abelian group of type [3,3,3,9]243C3^3xC9243,61
C32×C27Abelian group of type [3,3,27]243C3^2xC27243,48

Groups of order 244

C244Cyclic group2441C244244,2
D122Dihedral group; = C2×D611222+D122244,4
Dic61Dicyclic group; = C612C42442-Dic61244,1
C61⋊C4The semidirect product of C61 and C4 acting faithfully614+C61:C4244,3
C2×C122Abelian group of type [2,122]244C2xC122244,5

Groups of order 245

C245Cyclic group2451C245245,1
C7×C35Abelian group of type [7,35]245C7xC35245,2

Groups of order 246

C246Cyclic group2461C246246,4
D123Dihedral group1232+D123246,3
S3×C41Direct product of C41 and S31232S3xC41246,1
C3×D41Direct product of C3 and D411232C3xD41246,2

Groups of order 247

C247Cyclic group2471C247247,1

Groups of order 248

C248Cyclic group2481C248248,2
C31⋊C8The semidirect product of C31 and C8 acting via C8/C4=C22482C31:C8248,1
C2×C124Abelian group of type [2,124]248C2xC124248,8
C22×C62Abelian group of type [2,2,62]248C2^2xC62248,12
C4×D31Direct product of C4 and D311242C4xD31248,4
C22×D31Direct product of C22 and D31124C2^2xD31248,11
C2×Dic31Direct product of C2 and Dic31248C2xDic31248,6

Groups of order 249

C249Cyclic group2491C249249,1

Groups of order 250

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
C5×C50Abelian group of type [5,50]250C5xC50250,9
C52×C10Abelian group of type [5,5,10]250C5^2xC10250,15
C5×D25Direct product of C5 and D25502C5xD25250,3
D5×C25Direct product of C25 and D5502D5xC25250,4
D5×C52Direct product of C52 and D550D5xC5^2250,12
C5×C5⋊D5Direct product of C5 and C5⋊D550C5xC5:D5250,13

Groups of order 251

C251Cyclic group2511C251251,1

Groups of order 252

C252Cyclic group2521C252252,6
D126Dihedral group; = C2×D631262+D126252,14
Dic63Dicyclic group; = C9Dic72522-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
C3×C84Abelian group of type [3,84]252C3xC84252,25
C6×C42Abelian group of type [6,42]252C6xC42252,46
C2×C126Abelian group of type [2,126]252C2xC126252,15
S3×F7Direct product of S3 and F7; = Aut(D21) = Hol(C21)2112+S3xF7252,26
C6×F7Direct product of C6 and F7426C6xF7252,28
S3×D21Direct product of S3 and D21424+S3xD21252,36
D7×D9Direct product of D7 and D9634+D7xD9252,8
S3×C42Direct product of C42 and S3842S3xC42252,42
A4×C21Direct product of C21 and A4843A4xC21252,39
C6×D21Direct product of C6 and D21842C6xD21252,43
Dic3×C21Direct product of C21 and Dic3842Dic3xC21252,21
C3×Dic21Direct product of C3 and Dic21842C3xDic21252,22
D7×C18Direct product of C18 and D71262D7xC18252,12
C14×D9Direct product of C14 and D91262C14xD9252,13
C7×Dic9Direct product of C7 and Dic92522C7xDic9252,3
C9×Dic7Direct product of C9 and Dic72522C9xDic7252,4
C32×Dic7Direct product of C32 and Dic7252C3^2xDic7252,20
A4×C7⋊C3Direct product of A4 and C7⋊C3289A4xC7:C3252,27
S32×C7Direct product of C7, S3 and S3424S3^2xC7252,35
C3×S3×D7Direct product of C3, S3 and D7424C3xS3xD7252,33
C2×C3⋊F7Direct product of C2 and C3⋊F7426+C2xC3:F7252,30
C7×C32⋊C4Direct product of C7 and C32⋊C4424C7xC3^2:C4252,31
D7×C3⋊S3Direct product of D7 and C3⋊S363D7xC3:S3252,34
C3×C7⋊A4Direct product of C3 and C7⋊A4843C3xC7:A4252,40
C3×C7⋊C12Direct product of C3 and C7⋊C12846C3xC7:C12252,16
C12×C7⋊C3Direct product of C12 and C7⋊C3843C12xC7:C3252,19
Dic3×C7⋊C3Direct product of Dic3 and C7⋊C3846Dic3xC7:C3252,17
D7×C3×C6Direct product of C3×C6 and D7126D7xC3xC6252,41
C2×C7⋊C18Direct product of C2 and C7⋊C181266C2xC7:C18252,7
C14×C3⋊S3Direct product of C14 and C3⋊S3126C14xC3:S3252,44
C2×C3⋊D21Direct product of C2 and C3⋊D21126C2xC3:D21252,45
C7×C3.A4Direct product of C7 and C3.A41263C7xC3.A4252,10
C4×C7⋊C9Direct product of C4 and C7⋊C92523C4xC7:C9252,2
C22×C7⋊C9Direct product of C22 and C7⋊C9252C2^2xC7:C9252,9
C7×C3⋊Dic3Direct product of C7 and C3⋊Dic3252C7xC3:Dic3252,23
C2×S3×C7⋊C3Direct product of C2, S3 and C7⋊C3426C2xS3xC7:C3252,29
C2×C6×C7⋊C3Direct product of C2×C6 and C7⋊C384C2xC6xC7:C3252,38

Groups of order 253

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

Groups of order 254

C254Cyclic group2541C254254,2
D127Dihedral group1272+D127254,1

Groups of order 255

C255Cyclic group2551C255255,1

Groups of order 257

C257Cyclic group2571C257257,1

Groups of order 258

C258Cyclic group2581C258258,6
D129Dihedral group1292+D129258,5
C43⋊C6The semidirect product of C43 and C6 acting faithfully436+C43:C6258,1
S3×C43Direct product of C43 and S31292S3xC43258,3
C3×D43Direct product of C3 and D431292C3xD43258,4
C2×C43⋊C3Direct product of C2 and C43⋊C3863C2xC43:C3258,2

Groups of order 259

C259Cyclic group2591C259259,1

Groups of order 260

C260Cyclic group2601C260260,4
D130Dihedral group; = C2×D651302+D130260,14
Dic65Dicyclic group; = C657C42602-Dic65260,3
C65⋊C43rd semidirect product of C65 and C4 acting faithfully654C65:C4260,6
C652C42nd semidirect product of C65 and C4 acting faithfully654+C65:2C4260,10
C133F5The 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
C2×C130Abelian group of type [2,130]260C2xC130260,15
D5×D13Direct product of D5 and D13654+D5xD13260,11
C13×F5Direct product of C13 and F5654C13xF5260,7
D5×C26Direct product of C26 and D51302D5xC26260,13
C10×D13Direct product of C10 and D131302C10xD13260,12
C13×Dic5Direct product of C13 and Dic52602C13xDic5260,1
C5×Dic13Direct product of C5 and Dic132602C5xDic13260,2
C5×C13⋊C4Direct product of C5 and C13⋊C4654C5xC13:C4260,5

Groups of order 261

C261Cyclic group2611C261261,1
C3×C87Abelian group of type [3,87]261C3xC87261,2

Groups of order 262

C262Cyclic group2621C262262,2
D131Dihedral group1312+D131262,1

Groups of order 263

C263Cyclic group2631C263263,1

Groups of order 264

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
C2×C132Abelian group of type [2,132]264C2xC132264,28
C22×C66Abelian group of type [2,2,66]264C2^2xC66264,39
A4×D11Direct product of A4 and D11446+A4xD11264,33
A4×C22Direct product of C22 and A4663A4xC22264,35
S3×C44Direct product of C44 and S31322S3xC44264,19
C4×D33Direct product of C4 and D331322C4xD33264,24
C12×D11Direct product of C12 and D111322C12xD11264,14
Dic3×D11Direct product of Dic3 and D111324-Dic3xD11264,5
S3×Dic11Direct product of S3 and Dic111324-S3xDic11264,6
C22×D33Direct product of C22 and D33132C2^2xD33264,38
C6×Dic11Direct product of C6 and Dic11264C6xDic11264,16
Dic3×C22Direct product of C22 and Dic3264Dic3xC22264,21
C2×Dic33Direct product of C2 and Dic33264C2xDic33264,26
C2×S3×D11Direct product of C2, S3 and D11664+C2xS3xD11264,34
S3×C2×C22Direct product of C2×C22 and S3132S3xC2xC22264,37
C2×C6×D11Direct product of C2×C6 and D11132C2xC6xD11264,36
C11×C3⋊C8Direct product of C11 and C3⋊C82642C11xC3:C8264,1
C3×C11⋊C8Direct product of C3 and C11⋊C82642C3xC11:C8264,2

Groups of order 265

C265Cyclic group2651C265265,1

Groups of order 266

C266Cyclic group2661C266266,4
D133Dihedral group1332+D133266,3
D7×C19Direct product of C19 and D71332D7xC19266,1
C7×D19Direct product of C7 and D191332C7xD19266,2

Groups of order 267

C267Cyclic group2671C267267,1

Groups of order 268

C268Cyclic group2681C268268,2
D134Dihedral group; = C2×D671342+D134268,3
Dic67Dicyclic group; = C67C42682-Dic67268,1
C2×C134Abelian group of type [2,134]268C2xC134268,4

Groups of order 269

C269Cyclic group2691C269269,1

Groups of order 270

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
C3×C90Abelian group of type [3,90]270C3xC90270,20
C32×C30Abelian group of type [3,3,30]270C3^2xC30270,30
S3×C45Direct product of C45 and S3902S3xC45270,9
C15×D9Direct product of C15 and D9902C15xD9270,8
C3×D45Direct product of C3 and D45902C3xD45270,12
C9×D15Direct product of C9 and D15902C9xD15270,13
C32×D15Direct product of C32 and D1590C3^2xD15270,25
C5×D27Direct product of C5 and D271352C5xD27270,1
D5×C27Direct product of C27 and D51352D5xC27270,2
D5×C33Direct product of C33 and D5135D5xC3^3270,23
S3×C3×C15Direct product of C3×C15 and S390S3xC3xC15270,24
C15×C3⋊S3Direct product of C15 and C3⋊S390C15xC3:S3270,26
C3×C3⋊D15Direct product of C3 and C3⋊D1590C3xC3:D15270,27
D5×C3×C9Direct product of C3×C9 and D5135D5xC3xC9270,5
C5×C9⋊S3Direct product of C5 and C9⋊S3135C5xC9:S3270,16
C5×C33⋊C2Direct product of C5 and C33⋊C2135C5xC3^3:C2270,28

Groups of order 271

C271Cyclic group2711C271271,1

Groups of order 272

C272Cyclic group2721C272272,2
F17Frobenius group; = C17C16 = AGL1(𝔽17) = Aut(D17) = Hol(C17)1716+F17272,50
C174C16The semidirect product of C17 and C16 acting via C16/C8=C22722C17:4C16272,1
C173C16The 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
C4×C68Abelian group of type [4,68]272C4xC68272,20
C2×C136Abelian group of type [2,136]272C2xC136272,23
C22×C68Abelian group of type [2,2,68]272C2^2xC68272,46
C23×C34Abelian group of type [2,2,2,34]272C2^3xC34272,54
C8×D17Direct product of C8 and D171362C8xD17272,4
C23×D17Direct product of C23 and D17136C2^3xD17272,53
C4×Dic17Direct product of C4 and Dic17272C4xDic17272,11
C22×Dic17Direct product of C22 and Dic17272C2^2xDic17272,44
C2×C17⋊C8Direct product of C2 and C17⋊C8348+C2xC17:C8272,51
C4×C17⋊C4Direct product of C4 and C17⋊C4684C4xC17:C4272,31
C22×C17⋊C4Direct product of C22 and C17⋊C468C2^2xC17:C4272,52
C2×C4×D17Direct product of C2×C4 and D17136C2xC4xD17272,37
C2×C173C8Direct product of C2 and C173C8272C2xC17:3C8272,9
C2×C172C8Direct product of C2 and C172C8272C2xC17:2C8272,33

Groups of order 273

C273Cyclic group2731C273273,5
C91⋊C33rd semidirect product of C91 and C3 acting faithfully913C91:C3273,3
C914C34th semidirect product of C91 and C3 acting faithfully913C91:4C3273,4
C13×C7⋊C3Direct product of C13 and C7⋊C3913C13xC7:C3273,1
C7×C13⋊C3Direct product of C7 and C13⋊C3913C7xC13:C3273,2

Groups of order 274

C274Cyclic group2741C274274,2
D137Dihedral group1372+D137274,1

Groups of order 275

C275Cyclic group2751C275275,2
C11⋊C25The semidirect product of C11 and C25 acting via C25/C5=C52755C11:C25275,1
C5×C55Abelian group of type [5,55]275C5xC55275,4
C5×C11⋊C5Direct product of C5 and C11⋊C5555C5xC11:C5275,3

Groups of order 276

C276Cyclic group2761C276276,4
D138Dihedral group; = C2×D691382+D138276,9
Dic69Dicyclic group; = C691C42762-Dic69276,3
C2×C138Abelian group of type [2,138]276C2xC138276,10
S3×D23Direct product of S3 and D23694+S3xD23276,5
A4×C23Direct product of C23 and A4923A4xC23276,6
S3×C46Direct product of C46 and S31382S3xC46276,8
C6×D23Direct product of C6 and D231382C6xD23276,7
Dic3×C23Direct product of C23 and Dic32762Dic3xC23276,1
C3×Dic23Direct product of C3 and Dic232762C3xDic23276,2

Groups of order 277

C277Cyclic group2771C277277,1

Groups of order 278

C278Cyclic group2781C278278,2
D139Dihedral group1392+D139278,1

Groups of order 279

C279Cyclic group2791C279279,2
C31⋊C9The semidirect product of C31 and C9 acting via C9/C3=C32793C31:C9279,1
C3×C93Abelian group of type [3,93]279C3xC93279,4
C3×C31⋊C3Direct product of C3 and C31⋊C3933C3xC31:C3279,3

Groups of order 280

C280Cyclic group2801C280280,4
C353C81st 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
C2×C140Abelian group of type [2,140]280C2xC140280,29
C22×C70Abelian group of type [2,2,70]280C2^2xC70280,40
D7×F5Direct product of D7 and F5358+D7xF5280,32
C5×F8Direct product of C5 and F8407C5xF8280,33
C14×F5Direct product of C14 and F5704C14xF5280,34
D7×C20Direct product of C20 and D71402D7xC20280,15
D5×C28Direct product of C28 and D51402D5xC28280,20
C4×D35Direct product of C4 and D351402C4xD35280,25
D7×Dic5Direct product of D7 and Dic51404-D7xDic5280,7
D5×Dic7Direct product of D5 and Dic71404-D5xDic7280,8
C22×D35Direct product of C22 and D35140C2^2xD35280,39
C10×Dic7Direct product of C10 and Dic7280C10xDic7280,17
C14×Dic5Direct product of C14 and Dic5280C14xDic5280,22
C2×Dic35Direct product of C2 and Dic35280C2xDic35280,27
C2×D5×D7Direct product of C2, D5 and D7704+C2xD5xD7280,36
C2×C7⋊F5Direct product of C2 and C7⋊F5704C2xC7:F5280,35
D7×C2×C10Direct product of C2×C10 and D7140D7xC2xC10280,37
D5×C2×C14Direct product of C2×C14 and D5140D5xC2xC14280,38
C5×C7⋊C8Direct product of C5 and C7⋊C82802C5xC7:C8280,2
C7×C5⋊C8Direct product of C7 and C5⋊C82804C7xC5:C8280,5
C7×C52C8Direct product of C7 and C52C82802C7xC5:2C8280,1

Groups of order 281

C281Cyclic group2811C281281,1

Groups of order 282

C282Cyclic group2821C282282,4
D141Dihedral group1412+D141282,3
S3×C47Direct product of C47 and S31412S3xC47282,1
C3×D47Direct product of C3 and D471412C3xD47282,2

Groups of order 283

C283Cyclic group2831C283283,1

Groups of order 284

C284Cyclic group2841C284284,2
D142Dihedral group; = C2×D711422+D142284,3
Dic71Dicyclic group; = C71C42842-Dic71284,1
C2×C142Abelian group of type [2,142]284C2xC142284,4

Groups of order 285

C285Cyclic group2851C285285,2
C5×C19⋊C3Direct product of C5 and C19⋊C3953C5xC19:C3285,1

Groups of order 286

C286Cyclic group2861C286286,4
D143Dihedral group1432+D143286,3
C13×D11Direct product of C13 and D111432C13xD11286,1
C11×D13Direct product of C11 and D131432C11xD13286,2

Groups of order 287

C287Cyclic group2871C287287,1

Groups of order 288

C288Cyclic group2881C288288,2
C32⋊C32The semidirect product of C32 and C32 acting via C32/C4=C8968C3^2:C32288,373
C322C32The 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⋊S33C162nd 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.(S3×C8)3rd non-split extension by C6 of S3×C8 acting via S3×C8/C3⋊C8=C296C6.(S3xC8)288,201
C4×C72Abelian group of type [4,72]288C4xC72288,46
C3×C96Abelian group of type [3,96]288C3xC96288,66
C6×C48Abelian group of type [6,48]288C6xC48288,327
C2×C144Abelian group of type [2,144]288C2xC144288,59
C12×C24Abelian group of type [12,24]288C12xC24288,314
C22×C72Abelian group of type [2,2,72]288C2^2xC72288,179
C23×C36Abelian group of type [2,2,2,36]288C2^3xC36288,367
C2×C122Abelian group of type [2,12,12]288C2xC12^2288,811
C24×C18Abelian group of type [2,2,2,2,18]288C2^4xC18288,840
C23×C62Abelian group of type [2,2,2,6,6]288C2^3xC6^2288,1045
C2×C4×C36Abelian group of type [2,4,36]288C2xC4xC36288,164
C2×C6×C24Abelian group of type [2,6,24]288C2xC6xC24288,826
C22×C6×C12Abelian group of type [2,2,6,12]288C2^2xC6xC12288,1018
C4×F9Direct product of C4 and F9368C4xF9288,863
C22×F9Direct product of C22 and F936C2^2xF9288,1030
A4×C24Direct product of C24 and A4723A4xC24288,637
S3×C48Direct product of C48 and S3962S3xC48288,231
Dic3×C24Direct product of C24 and Dic396Dic3xC24288,247
C16×D9Direct product of C16 and D91442C16xD9288,4
C42×D9Direct product of C42 and D9144C4^2xD9288,81
C24×D9Direct product of C24 and D9144C2^4xD9288,839
C8×Dic9Direct product of C8 and Dic9288C8xDic9288,21
C23×Dic9Direct product of C23 and Dic9288C2^3xDic9288,365
C2×A42Direct product of C2, A4 and A4189+C2xA4^2288,1029
C4×S3×A4Direct product of C4, S3 and A4366C4xS3xA4288,919
C2×C42⋊C9Direct product of C2 and C42⋊C9363C2xC4^2:C9288,71
S3×C42⋊C3Direct product of S3 and C42⋊C3366S3xC4^2:C3288,407
C6×C42⋊C3Direct product of C6 and C42⋊C3363C6xC4^2:C3288,632
C22×S3×A4Direct product of C22, S3 and A436C2^2xS3xA4288,1037
S3×C22⋊A4Direct product of S3 and C22⋊A436S3xC2^2:A4288,1038
C6×C22⋊A4Direct product of C6 and C22⋊A436C6xC2^2:A4288,1042
C2×C24⋊C9Direct product of C2 and C24⋊C936C2xC2^4:C9288,838
S32×C8Direct product of C8, S3 and S3484S3^2xC8288,437
S32×C23Direct product of C23, S3 and S348S3^2xC2^3288,1040
C8×C32⋊C4Direct product of C8 and C32⋊C4484C8xC3^2:C4288,414
C4×C6.D6Direct product of C4 and C6.D648C4xC6.D6288,530
C23×C32⋊C4Direct product of C23 and C32⋊C448C2^3xC3^2:C4288,1039
C22×C6.D6Direct product of C22 and C6.D648C2^2xC6.D6288,972
C2×C12.29D6Direct product of C2 and C12.29D648C2xC12.29D6288,464
A4×C3⋊C8Direct product of A4 and C3⋊C8726A4xC3:C8288,408
A4×C2×C12Direct product of C2×C12 and A472A4xC2xC12288,979
C8×C3.A4Direct product of C8 and C3.A4723C8xC3.A4288,76
A4×C22×C6Direct product of C22×C6 and A472A4xC2^2xC6288,1041
C2×Dic3×A4Direct product of C2, Dic3 and A472C2xDic3xA4288,927
C23×C3.A4Direct product of C23 and C3.A472C2^3xC3.A4288,837
C3×C3⋊C32Direct product of C3 and C3⋊C32962C3xC3:C32288,64
C12×C3⋊C8Direct product of C12 and C3⋊C896C12xC3:C8288,236
C6×C3⋊C16Direct product of C6 and C3⋊C1696C6xC3:C16288,245
S3×C3⋊C16Direct product of S3 and C3⋊C16964S3xC3:C16288,189
S3×C4×C12Direct product of C4×C12 and S396S3xC4xC12288,642
S3×C2×C24Direct product of C2×C24 and S396S3xC2xC24288,670
C2×Dic32Direct product of C2, Dic3 and Dic396C2xDic3^2288,602
S3×C23×C6Direct product of C23×C6 and S396S3xC2^3xC6288,1043
Dic3×C3⋊C8Direct product of Dic3 and C3⋊C896Dic3xC3:C8288,200
C4×S3×Dic3Direct product of C4, S3 and Dic396C4xS3xDic3288,523
C2×C2.F9Direct product of C2 and C2.F996C2xC2.F9288,865
S3×C22×C12Direct product of C22×C12 and S396S3xC2^2xC12288,989
Dic3×C2×C12Direct product of C2×C12 and Dic396Dic3xC2xC12288,693
C4×C322C8Direct product of C4 and C322C896C4xC3^2:2C8288,423
C22×S3×Dic3Direct product of C22, S3 and Dic396C2^2xS3xDic3288,969
Dic3×C22×C6Direct product of C22×C6 and Dic396Dic3xC2^2xC6288,1001
C2×C322C16Direct product of C2 and C322C1696C2xC3^2:2C16288,420
C22×C322C8Direct product of C22 and C322C896C2^2xC3^2:2C8288,939
C2×C8×D9Direct product of C2×C8 and D9144C2xC8xD9288,110
C16×C3⋊S3Direct product of C16 and C3⋊S3144C16xC3:S3288,272
C22×C4×D9Direct product of C22×C4 and D9144C2^2xC4xD9288,353
C42×C3⋊S3Direct product of C42 and C3⋊S3144C4^2xC3:S3288,728
C24×C3⋊S3Direct product of C24 and C3⋊S3144C2^4xC3:S3288,1044
C4×C9⋊C8Direct product of C4 and C9⋊C8288C4xC9:C8288,9
C2×C9⋊C16Direct product of C2 and C9⋊C16288C2xC9:C16288,18
C22×C9⋊C8Direct product of C22 and C9⋊C8288C2^2xC9:C8288,130
C2×C4×Dic9Direct product of C2×C4 and Dic9288C2xC4xDic9288,132
C8×C3⋊Dic3Direct product of C8 and C3⋊Dic3288C8xC3:Dic3288,288
C2×C24.S3Direct product of C2 and C24.S3288C2xC24.S3288,286
C4×C324C8Direct product of C4 and C324C8288C4xC3^2:4C8288,277
C23×C3⋊Dic3Direct product of C23 and C3⋊Dic3288C2^3xC3:Dic3288,1016
C22×C324C8Direct product of C22 and C324C8288C2^2xC3^2:4C8288,777
S32×C2×C4Direct product of C2×C4, S3 and S348S3^2xC2xC4288,950
C2×C4×C32⋊C4Direct product of C2×C4 and C32⋊C448C2xC4xC3^2:C4288,932
C2×C3⋊S33C8Direct product of C2 and C3⋊S33C848C2xC3:S3:3C8288,929
C2×C4×C3.A4Direct product of C2×C4 and C3.A472C2xC4xC3.A4288,343
C2×S3×C3⋊C8Direct product of C2, S3 and C3⋊C896C2xS3xC3:C8288,460
C2×C6×C3⋊C8Direct product of C2×C6 and C3⋊C896C2xC6xC3:C8288,691
C2×C8×C3⋊S3Direct product of C2×C8 and C3⋊S3144C2xC8xC3:S3288,756
C22×C4×C3⋊S3Direct product of C22×C4 and C3⋊S3144C2^2xC4xC3:S3288,1004
C2×C4×C3⋊Dic3Direct product of C2×C4 and C3⋊Dic3288C2xC4xC3:Dic3288,779

Groups of order 289

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

Groups of order 290

C290Cyclic group2901C290290,4
D145Dihedral group1452+D145290,3
D5×C29Direct product of C29 and D51452D5xC29290,1
C5×D29Direct product of C5 and D291452C5xD29290,2

Groups of order 291

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

Groups of order 292

C292Cyclic group2921C292292,2
D146Dihedral group; = C2×D731462+D146292,4
Dic73Dicyclic group; = C732C42922-Dic73292,1
C73⋊C4The semidirect product of C73 and C4 acting faithfully734+C73:C4292,3
C2×C146Abelian group of type [2,146]292C2xC146292,5

Groups of order 293

C293Cyclic group2931C293293,1

Groups of order 294

C294Cyclic group2941C294294,6
D147Dihedral group1472+D147294,5
C72⋊S3The semidirect product of C72 and S3 acting faithfully143C7^2:S3294,7
C74F72nd semidirect product of C7 and F7 acting via F7/D7=C3146C7:4F7294,12
C75F7The 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
C73F71st 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
C7×C42Abelian group of type [7,42]294C7xC42294,23
C7×F7Direct product of C7 and F7426C7xF7294,8
D7×C21Direct product of C21 and D7422D7xC21294,18
C7×D21Direct product of C7 and D21422C7xD21294,21
S3×C49Direct product of C49 and S31472S3xC49294,3
C3×D49Direct product of C3 and D491472C3xD49294,4
S3×C72Direct product of C72 and S3147S3xC7^2294,20
D7×C7⋊C3Direct product of D7 and C7⋊C3426D7xC7:C3294,9
C14×C7⋊C3Direct product of C14 and C7⋊C3423C14xC7:C3294,15
C2×C723C3Direct product of C2 and C723C3423C2xC7^2:3C3294,17
C2×C49⋊C3Direct product of C2 and C49⋊C3983C2xC49:C3294,2
C2×C72⋊C3Direct product of C2 and C72⋊C398C2xC7^2:C3294,16
C3×C7⋊D7Direct product of C3 and C7⋊D7147C3xC7:D7294,19

Groups of order 295

C295Cyclic group2951C295295,1

Groups of order 296

C296Cyclic group2961C296296,2
C37⋊C8The semidirect product of C37 and C8 acting via C8/C2=C42964-C37:C8296,3
C372C8The semidirect product of C37 and C8 acting via C8/C4=C22962C37:2C8296,1
C2×C148Abelian group of type [2,148]296C2xC148296,9
C22×C74Abelian group of type [2,2,74]296C2^2xC74296,14
C4×D37Direct product of C4 and D371482C4xD37296,5
C22×D37Direct product of C22 and D37148C2^2xD37296,13
C2×Dic37Direct product of C2 and Dic37296C2xDic37296,7
C2×C37⋊C4Direct product of C2 and C37⋊C4744+C2xC37:C4296,12

Groups of order 297

C297Cyclic group2971C297297,1
C3×C99Abelian group of type [3,99]297C3xC99297,2
C32×C33Abelian group of type [3,3,33]297C3^2xC33297,5

Groups of order 298

C298Cyclic group2981C298298,2
D149Dihedral group1492+D149298,1

Groups of order 299

C299Cyclic group2991C299299,1

Groups of order 300

C300Cyclic group3001C300300,4
D150Dihedral group; = C2×D751502+D150300,11
Dic75Dicyclic group; = C753C43002-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
C152F52nd semidirect product of C15 and F5 acting via F5/C5=C4304C15:2F5300,35
C522C12The semidirect product of C52 and C12 acting via C12/C2=C6606-C5^2:2C12300,14
C522Dic3The 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
C5×C60Abelian group of type [5,60]300C5xC60300,21
C2×C150Abelian group of type [2,150]300C2xC150300,12
C10×C30Abelian group of type [10,30]300C10xC30300,49
C5×A5Direct product of C5 and A5; = U2(𝔽4)253C5xA5300,22
D5×D15Direct product of D5 and D15304+D5xD15300,39
D5×C30Direct product of C30 and D5602D5xC30300,44
C15×F5Direct product of C15 and F5604C15xF5300,28
C10×D15Direct product of C10 and D15602C10xD15300,47
C15×Dic5Direct product of C15 and Dic5602C15xDic5300,16
C5×Dic15Direct product of C5 and Dic15602C5xDic15300,19
S3×D25Direct product of S3 and D25754+S3xD25300,7
A4×C25Direct product of C25 and A41003A4xC25300,8
A4×C52Direct product of C52 and A4100A4xC5^2300,42
S3×C50Direct product of C50 and S31502S3xC50300,10
C6×D25Direct product of C6 and D251502C6xD25300,9
Dic3×C25Direct product of C25 and Dic33002Dic3xC25300,1
C3×Dic25Direct product of C3 and Dic253002C3xDic25300,2
Dic3×C52Direct product of C52 and Dic3300Dic3xC5^2300,18
C3×D52Direct product of C3, D5 and D5304C3xD5^2300,36
C5×S3×D5Direct product of C5, S3 and D5304C5xS3xD5300,37
C2×C52⋊S3Direct product of C2 and C52⋊S3303C2xC5^2:S3300,26
C2×C52⋊C6Direct product of C2 and C52⋊C6306+C2xC5^2:C6300,27
C3×C52⋊C4Direct product of C3 and C52⋊C4304C3xC5^2:C4300,31
C5×C3⋊F5Direct product of C5 and C3⋊F5604C5xC3:F5300,32
C4×C52⋊C3Direct product of C4 and C52⋊C3603C4xC5^2:C3300,15
C3×D5.D5Direct product of C3 and D5.D5604C3xD5.D5300,29
C22×C52⋊C3Direct product of C22 and C52⋊C360C2^2xC5^2:C3300,41
C3×C25⋊C4Direct product of C3 and C25⋊C4754C3xC25:C4300,5
S3×C5⋊D5Direct product of S3 and C5⋊D575S3xC5:D5300,38
C3×C5⋊F5Direct product of C3 and C5⋊F575C3xC5:F5300,30
S3×C5×C10Direct product of C5×C10 and S3150S3xC5xC10300,46
C6×C5⋊D5Direct product of C6 and C5⋊D5150C6xC5:D5300,45
C2×C5⋊D15Direct product of C2 and C5⋊D15150C2xC5:D15300,48
C3×C526C4Direct product of C3 and C526C4300C3xC5^2:6C4300,17

Groups of order 301

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

Groups of order 302

C302Cyclic group3021C302302,2
D151Dihedral group1512+D151302,1

Groups of order 303

C303Cyclic group3031C303303,1

Groups of order 304

C304Cyclic group3041C304304,2
C19⋊C16The semidirect product of C19 and C16 acting via C16/C8=C23042C19:C16304,1
C4×C76Abelian group of type [4,76]304C4xC76304,19
C2×C152Abelian group of type [2,152]304C2xC152304,22
C22×C76Abelian group of type [2,2,76]304C2^2xC76304,37
C23×C38Abelian group of type [2,2,2,38]304C2^3xC38304,42
C8×D19Direct product of C8 and D191522C8xD19304,3
C23×D19Direct product of C23 and D19152C2^3xD19304,41
C4×Dic19Direct product of C4 and Dic19304C4xDic19304,10
C22×Dic19Direct product of C22 and Dic19304C2^2xDic19304,35
C2×C4×D19Direct product of C2×C4 and D19152C2xC4xD19304,28
C2×C19⋊C8Direct product of C2 and C19⋊C8304C2xC19:C8304,8

Groups of order 305

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

Groups of order 306

C306Cyclic group3061C306306,4
D153Dihedral group1532+D153306,3
C3⋊D51The semidirect product of C3 and D51 acting via D51/C51=C2153C3:D51306,9
C3×C102Abelian group of type [3,102]306C3xC102306,10
S3×C51Direct product of C51 and S31022S3xC51306,6
C3×D51Direct product of C3 and D511022C3xD51306,7
C17×D9Direct product of C17 and D91532C17xD9306,1
C9×D17Direct product of C9 and D171532C9xD17306,2
C32×D17Direct product of C32 and D17153C3^2xD17306,5
C17×C3⋊S3Direct product of C17 and C3⋊S3153C17xC3:S3306,8

Groups of order 307

C307Cyclic group3071C307307,1

Groups of order 308

C308Cyclic group3081C308308,4
D154Dihedral group; = C2×D771542+D154308,8
Dic77Dicyclic group; = C771C43082-Dic77308,3
C2×C154Abelian group of type [2,154]308C2xC154308,9
D7×D11Direct product of D7 and D11774+D7xD11308,5
D7×C22Direct product of C22 and D71542D7xC22308,7
C14×D11Direct product of C14 and D111542C14xD11308,6
C11×Dic7Direct product of C11 and Dic73082C11xDic7308,1
C7×Dic11Direct product of C7 and Dic113082C7xDic11308,2

Groups of order 309

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

Groups of order 310

C310Cyclic group3101C310310,6
D155Dihedral group1552+D155310,5
C31⋊C10The semidirect product of C31 and C10 acting faithfully3110+C31:C10310,1
D5×C31Direct product of C31 and D51552D5xC31310,3
C5×D31Direct product of C5 and D311552C5xD31310,4
C2×C31⋊C5Direct product of C2 and C31⋊C5625C2xC31:C5310,2

Groups of order 311

C311Cyclic group3111C311311,1

Groups of order 312

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
C132C24The semidirect product of C13 and C24 acting via C24/C4=C61046C13:2C24312,1
C393C81st 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
C2×C156Abelian group of type [2,156]312C2xC156312,42
C22×C78Abelian group of type [2,2,78]312C2^2xC78312,61
C2×F13Direct product of C2 and F13; = Aut(D26) = Hol(C26)2612+C2xF13312,45
A4×D13Direct product of A4 and D13526+A4xD13312,50
A4×C26Direct product of C26 and A4783A4xC26312,56
S3×C52Direct product of C52 and S31562S3xC52312,33
C4×D39Direct product of C4 and D391562C4xD39312,38
C12×D13Direct product of C12 and D131562C12xD13312,28
Dic3×D13Direct product of Dic3 and D131564-Dic3xD13312,15
S3×Dic13Direct product of S3 and Dic131564-S3xDic13312,16
C22×D39Direct product of C22 and D39156C2^2xD39312,60
C6×Dic13Direct product of C6 and Dic13312C6xDic13312,30
Dic3×C26Direct product of C26 and Dic3312Dic3xC26312,35
C2×Dic39Direct product of C2 and Dic39312C2xDic39312,40
S3×C13⋊C4Direct product of S3 and C13⋊C4398+S3xC13:C4312,46
C4×C13⋊C6Direct product of C4 and C13⋊C6526C4xC13:C6312,9
C22×C13⋊C6Direct product of C22 and C13⋊C652C2^2xC13:C6312,49
C6×C13⋊C4Direct product of C6 and C13⋊C4784C6xC13:C4312,52
C2×C13⋊A4Direct product of C2 and C13⋊A4783C2xC13:A4312,57
C2×S3×D13Direct product of C2, S3 and D13784+C2xS3xD13312,54
C2×C39⋊C4Direct product of C2 and C39⋊C4784C2xC39:C4312,53
C8×C13⋊C3Direct product of C8 and C13⋊C31043C8xC13:C3312,2
C2×C26.C6Direct product of C2 and C26.C6104C2xC26.C6312,11
C23×C13⋊C3Direct product of C23 and C13⋊C3104C2^3xC13:C3312,55
S3×C2×C26Direct product of C2×C26 and S3156S3xC2xC26312,59
C2×C6×D13Direct product of C2×C6 and D13156C2xC6xD13312,58
C13×C3⋊C8Direct product of C13 and C3⋊C83122C13xC3:C8312,3
C3×C13⋊C8Direct product of C3 and C13⋊C83124C3xC13:C8312,13
C3×C132C8Direct product of C3 and C132C83122C3xC13:2C8312,4
C2×C4×C13⋊C3Direct product of C2×C4 and C13⋊C3104C2xC4xC13:C3312,22

Groups of order 313

C313Cyclic group3131C313313,1

Groups of order 314

C314Cyclic group3141C314314,2
D157Dihedral group1572+D157314,1

Groups of order 315

C315Cyclic group3151C315315,2
C3×C105Abelian group of type [3,105]315C3xC105315,4
C15×C7⋊C3Direct product of C15 and C7⋊C31053C15xC7:C3315,3
C5×C7⋊C9Direct product of C5 and C7⋊C93153C5xC7:C9315,1

Groups of order 316

C316Cyclic group3161C316316,2
D158Dihedral group; = C2×D791582+D158316,3
Dic79Dicyclic group; = C79C43162-Dic79316,1
C2×C158Abelian group of type [2,158]316C2xC158316,4

Groups of order 317

C317Cyclic group3171C317317,1

Groups of order 318

C318Cyclic group3181C318318,4
D159Dihedral group1592+D159318,3
S3×C53Direct product of C53 and S31592S3xC53318,1
C3×D53Direct product of C3 and D531592C3xD53318,2

Groups of order 319

C319Cyclic group3191C319319,1

Groups of order 320

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
C52C64The 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
C8×C40Abelian group of type [8,40]320C8xC40320,126
C4×C80Abelian group of type [4,80]320C4xC80320,150
C2×C160Abelian group of type [2,160]320C2xC160320,174
C42×C20Abelian group of type [4,4,20]320C4^2xC20320,875
C22×C80Abelian group of type [2,2,80]320C2^2xC80320,1003
C23×C40Abelian group of type [2,2,2,40]320C2^3xC40320,1567
C24×C20Abelian group of type [2,2,2,2,20]320C2^4xC20320,1628
C25×C10Abelian group of type [2,2,2,2,2,10]320C2^5xC10320,1640
C2×C4×C40Abelian group of type [2,4,40]320C2xC4xC40320,903
C22×C4×C20Abelian group of type [2,2,4,20]320C2^2xC4xC20320,1513
C16×F5Direct product of C16 and F5804C16xF5320,181
C42×F5Direct product of C42 and F580C4^2xF5320,1023
C24×F5Direct product of C24 and F580C2^4xF5320,1638
D5×C32Direct product of C32 and D51602D5xC32320,4
D5×C25Direct product of C25 and D5160D5xC2^5320,1639
C16×Dic5Direct product of C16 and Dic5320C16xDic5320,58
C42×Dic5Direct product of C42 and Dic5320C4^2xDic5320,557
C24×Dic5Direct product of C24 and Dic5320C2^4xDic5320,1626
C4×C24⋊C5Direct product of C4 and C24⋊C5205C4xC2^4:C5320,1584
C22×C24⋊C5Direct product of C22 and C24⋊C520C2^2xC2^4:C5320,1637
C2×C8×F5Direct product of C2×C8 and F580C2xC8xF5320,1054
C22×C4×F5Direct product of C22×C4 and F580C2^2xC4xF5320,1590
D5×C4×C8Direct product of C4×C8 and D5160D5xC4xC8320,311
D5×C2×C16Direct product of C2×C16 and D5160D5xC2xC16320,526
C4×D5⋊C8Direct product of C4 and D5⋊C8160C4xD5:C8320,1013
D5×C2×C42Direct product of C2×C42 and D5160D5xC2xC4^2320,1143
D5×C22×C8Direct product of C22×C8 and D5160D5xC2^2xC8320,1408
D5×C23×C4Direct product of C23×C4 and D5160D5xC2^3xC4320,1609
C2×D5⋊C16Direct product of C2 and D5⋊C16160C2xD5:C16320,1051
C22×D5⋊C8Direct product of C22 and D5⋊C8160C2^2xD5:C8320,1587
C8×C5⋊C8Direct product of C8 and C5⋊C8320C8xC5:C8320,216
C4×C5⋊C16Direct product of C4 and C5⋊C16320C4xC5:C16320,195
C2×C5⋊C32Direct product of C2 and C5⋊C32320C2xC5:C32320,214
C8×C52C8Direct product of C8 and C52C8320C8xC5:2C8320,11
C23×C5⋊C8Direct product of C23 and C5⋊C8320C2^3xC5:C8320,1605
C2×C8×Dic5Direct product of C2×C8 and Dic5320C2xC8xDic5320,725
C4×C52C16Direct product of C4 and C52C16320C4xC5:2C16320,18
C2×C52C32Direct product of C2 and C52C32320C2xC5:2C32320,56
C22×C5⋊C16Direct product of C22 and C5⋊C16320C2^2xC5:C16320,1080
C23×C52C8Direct product of C23 and C52C8320C2^3xC5:2C8320,1452
C22×C4×Dic5Direct product of C22×C4 and Dic5320C2^2xC4xDic5320,1454
C22×C52C16Direct product of C22 and C52C16320C2^2xC5:2C16320,723
C2×C4×C5⋊C8Direct product of C2×C4 and C5⋊C8320C2xC4xC5:C8320,1084
C2×C4×C52C8Direct product of C2×C4 and C52C8320C2xC4xC5:2C8320,547

Groups of order 321

C321Cyclic group3211C321321,1

Groups of order 322

C322Cyclic group3221C322322,4
D161Dihedral group1612+D161322,3
D7×C23Direct product of C23 and D71612D7xC23322,1
C7×D23Direct product of C7 and D231612C7xD23322,2

Groups of order 323

C323Cyclic group3231C323323,1

Groups of order 324

C324Cyclic group3241C324324,2
D162Dihedral group; = C2×D811622+D162324,4
Dic81Dicyclic group; = C81C43242-Dic81324,1
C92⋊C4The semidirect product of C92 and C4 acting faithfully184+C9^2:C4324,35
C344C44th semidirect product of C34 and C4 acting faithfully18C3^4:4C4324,164
C34⋊C43rd semidirect product of C34 and C4 acting faithfully36C3^4:C4324,163
C325D182nd semidirect product of C32 and D18 acting via D18/C9=C22364C3^2:5D18324,123
C3317D65th semidirect product of C33 and D6 acting via D6/C3=C2236C3^3:17D6324,170
C323Dic9The 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
C348C44th semidirect product of C34 and C4 acting via C4/C2=C2324C3^4:8C4324,158
C325Dic92nd 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
C9×C36Abelian group of type [9,36]324C9xC36324,26
C6×C54Abelian group of type [6,54]324C6xC54324,84
C2×C162Abelian group of type [2,162]324C2xC162324,5
C3×C108Abelian group of type [3,108]324C3xC108324,29
C32×C36Abelian group of type [3,3,36]324C3^2xC36324,105
C33×C12Abelian group of type [3,3,3,12]324C3^3xC12324,159
C32×C62Abelian group of type [3,3,6,6]324C3^2xC6^2324,176
C3×C6×C18Abelian group of type [3,6,18]324C3xC6xC18324,151
D92Direct product of D9 and D9184+D9^2324,36
D9×C18Direct product of C18 and D9362D9xC18324,61
C9×Dic9Direct product of C9 and Dic9362C9xDic9324,6
S3×D27Direct product of S3 and D27544+S3xD27324,38
S3×C54Direct product of C54 and S31082S3xC54324,66
A4×C27Direct product of C27 and A41083A4xC27324,42
C6×D27Direct product of C6 and D271082C6xD27324,65
A4×C33Direct product of C33 and A4108A4xC3^3324,171
C3×Dic27Direct product of C3 and Dic271082C3xDic27324,10
Dic3×C27Direct product of C27 and Dic31082Dic3xC27324,11
C32×Dic9Direct product of C32 and Dic9108C3^2xDic9324,90
Dic3×C33Direct product of C33 and Dic3108Dic3xC3^3324,155
C3×C33⋊C4Direct product of C3 and C33⋊C4; = AΣL1(𝔽81)124C3xC3^3:C4324,162
C3×C324D6Direct product of C3 and C324D6124C3xC3^2:4D6324,167
S32×C9Direct product of C9, S3 and S3364S3^2xC9324,115
C3×S3×D9Direct product of C3, S3 and D9364C3xS3xD9324,114
S32×C32Direct product of C32, S3 and S336S3^2xC3^2324,165
C9×C32⋊C4Direct product of C9 and C32⋊C4364C9xC3^2:C4324,109
C32×C32⋊C4Direct product of C32 and C32⋊C436C3^2xC3^2:C4324,161
C32×C3⋊Dic3Direct product of C32 and C3⋊Dic336C3^2xC3:Dic3324,156
S3×C9⋊S3Direct product of S3 and C9⋊S354S3xC9:S3324,120
D9×C3⋊S3Direct product of D9 and C3⋊S354D9xC3:S3324,119
S3×C33⋊C2Direct product of S3 and C33⋊C254S3xC3^3:C2324,168
A4×C3×C9Direct product of C3×C9 and A4108A4xC3xC9324,126
D9×C3×C6Direct product of C3×C6 and D9108D9xC3xC6324,136
C6×C9⋊S3Direct product of C6 and C9⋊S3108C6xC9:S3324,142
S3×C3×C18Direct product of C3×C18 and S3108S3xC3xC18324,137
C18×C3⋊S3Direct product of C18 and C3⋊S3108C18xC3:S3324,143
S3×C32×C6Direct product of C32×C6 and S3108S3xC3^2xC6324,172
Dic3×C3×C9Direct product of C3×C9 and Dic3108Dic3xC3xC9324,91
C3×C9⋊Dic3Direct product of C3 and C9⋊Dic3108C3xC9:Dic3324,96
C9×C3⋊Dic3Direct product of C9 and C3⋊Dic3108C9xC3:Dic3324,97
C6×C33⋊C2Direct product of C6 and C33⋊C2108C6xC3^3:C2324,174
C3×C335C4Direct product of C3 and C335C4108C3xC3^3:5C4324,157
C2×C9⋊D9Direct product of C2 and C9⋊D9162C2xC9:D9324,74
C2×C27⋊S3Direct product of C2 and C27⋊S3162C2xC27:S3324,76
C3×C9.A4Direct product of C3 and C9.A4162C3xC9.A4324,44
C9×C3.A4Direct product of C9 and C3.A4162C9xC3.A4324,46
C2×C34⋊C2Direct product of C2 and C34⋊C2162C2xC3^4:C2324,175
C32×C3.A4Direct product of C32 and C3.A4162C3^2xC3.A4324,133
C2×C324D9Direct product of C2 and C324D9162C2xC3^2:4D9324,149
C3⋊S32Direct product of C3⋊S3 and C3⋊S318C3:S3^2324,169
C3×S3×C3⋊S3Direct product of C3, S3 and C3⋊S336C3xS3xC3:S3324,166
C3⋊S3×C3×C6Direct product of C3×C6 and C3⋊S336C3:S3xC3xC6324,173

Groups of order 325

C325Cyclic group3251C325325,1
C5×C65Abelian group of type [5,65]325C5xC65325,2

Groups of order 326

C326Cyclic group3261C326326,2
D163Dihedral group1632+D163326,1

Groups of order 327

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

Groups of order 328

C328Cyclic group3281C328328,2
C41⋊C8The semidirect product of C41 and C8 acting faithfully418+C41:C8328,12
C413C8The semidirect product of C41 and C8 acting via C8/C4=C23282C41:3C8328,1
C412C8The semidirect product of C41 and C8 acting via C8/C2=C43284-C41:2C8328,3
C2×C164Abelian group of type [2,164]328C2xC164328,9
C22×C82Abelian group of type [2,2,82]328C2^2xC82328,15
C4×D41Direct product of C4 and D411642C4xD41328,5
C22×D41Direct product of C22 and D41164C2^2xD41328,14
C2×Dic41Direct product of C2 and Dic41328C2xDic41328,7
C2×C41⋊C4Direct product of C2 and C41⋊C4824+C2xC41:C4328,13

Groups of order 329

C329Cyclic group3291C329329,1

Groups of order 330

C330Cyclic group3301C330330,12
D165Dihedral group1652+D165330,11
C3⋊F11The semidirect product of C3 and F11 acting via F11/C11⋊C5=C23310+C3:F11330,3
C3×F11Direct product of C3 and F113310C3xF11330,1
S3×C55Direct product of C55 and S31652S3xC55330,8
D5×C33Direct product of C33 and D51652D5xC33330,6
C3×D55Direct product of C3 and D551652C3xD55330,7
C5×D33Direct product of C5 and D331652C5xD33330,9
C15×D11Direct product of C15 and D111652C15xD11330,5
C11×D15Direct product of C11 and D151652C11xD15330,10
S3×C11⋊C5Direct product of S3 and C11⋊C53310S3xC11:C5330,2
C6×C11⋊C5Direct product of C6 and C11⋊C5665C6xC11:C5330,4

Groups of order 331

C331Cyclic group3311C331331,1

Groups of order 332

C332Cyclic group3321C332332,2
D166Dihedral group; = C2×D831662+D166332,3
Dic83Dicyclic group; = C83C43322-Dic83332,1
C2×C166Abelian group of type [2,166]332C2xC166332,4

Groups of order 333

C333Cyclic group3331C333333,2
C37⋊C9The semidirect product of C37 and C9 acting faithfully379C37:C9333,3
C372C9The semidirect product of C37 and C9 acting via C9/C3=C33333C37:2C9333,1
C3×C111Abelian group of type [3,111]333C3xC111333,5
C3×C37⋊C3Direct product of C3 and C37⋊C31113C3xC37:C3333,4

Groups of order 334

C334Cyclic group3341C334334,2
D167Dihedral group1672+D167334,1

Groups of order 335

C335Cyclic group3351C335335,1

Groups of order 336

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
C4×C84Abelian group of type [4,84]336C4xC84336,106
C2×C168Abelian group of type [2,168]336C2xC168336,109
C22×C84Abelian group of type [2,2,84]336C2^2xC84336,204
C23×C42Abelian group of type [2,2,2,42]336C2^3xC42336,228
C2×AΓL1(𝔽8)Direct product of C2 and AΓL1(𝔽8)147+C2xAGammaL(1,8)336,210
S3×F8Direct product of S3 and F82414+S3xF8336,211
C6×F8Direct product of C6 and F8427C6xF8336,213
C8×F7Direct product of C8 and F7566C8xF7336,7
C23×F7Direct product of C23 and F756C2^3xF7336,216
A4×C28Direct product of C28 and A4843A4xC28336,168
A4×Dic7Direct product of A4 and Dic7846-A4xDic7336,133
S3×C56Direct product of C56 and S31682S3xC56336,74
D7×C24Direct product of C24 and D71682D7xC24336,58
C8×D21Direct product of C8 and D211682C8xD21336,90
C23×D21Direct product of C23 and D21168C2^3xD21336,227
C12×Dic7Direct product of C12 and Dic7336C12xDic7336,65
Dic3×C28Direct product of C28 and Dic3336Dic3xC28336,81
C4×Dic21Direct product of C4 and Dic21336C4xDic21336,97
Dic3×Dic7Direct product of Dic3 and Dic7336Dic3xDic7336,41
C22×Dic21Direct product of C22 and Dic21336C2^2xDic21336,202
C2×A4×D7Direct product of C2, A4 and D7426+C2xA4xD7336,217
C2×D7⋊A4Direct product of C2 and D7⋊A4426+C2xD7:A4336,218
C2×C4×F7Direct product of C2×C4 and F756C2xC4xF7336,122
C4×C7⋊A4Direct product of C4 and C7⋊A4843C4xC7:A4336,171
C4×S3×D7Direct product of C4, S3 and D7844C4xS3xD7336,147
A4×C2×C14Direct product of C2×C14 and A484A4xC2xC14336,221
C7×C42⋊C3Direct product of C7 and C42⋊C3843C7xC4^2:C3336,56
C22×C7⋊A4Direct product of C22 and C7⋊A484C2^2xC7:A4336,222
C22×S3×D7Direct product of C22, S3 and D784C2^2xS3xD7336,219
C7×C22⋊A4Direct product of C7 and C22⋊A484C7xC2^2:A4336,223
C16×C7⋊C3Direct product of C16 and C7⋊C31123C16xC7:C3336,2
C2×C7⋊C24Direct product of C2 and C7⋊C24112C2xC7:C24336,12
C4×C7⋊C12Direct product of C4 and C7⋊C12112C4xC7:C12336,14
C42×C7⋊C3Direct product of C42 and C7⋊C3112C4^2xC7:C3336,48
C24×C7⋊C3Direct product of C24 and C7⋊C3112C2^4xC7:C3336,220
C22×C7⋊C12Direct product of C22 and C7⋊C12112C2^2xC7:C12336,129
S3×C7⋊C8Direct product of S3 and C7⋊C81684S3xC7:C8336,24
D7×C3⋊C8Direct product of D7 and C3⋊C81684D7xC3:C8336,23
S3×C2×C28Direct product of C2×C28 and S3168S3xC2xC28336,185
D7×C2×C12Direct product of C2×C12 and D7168D7xC2xC12336,175
C2×C4×D21Direct product of C2×C4 and D21168C2xC4xD21336,195
C2×Dic3×D7Direct product of C2, Dic3 and D7168C2xDic3xD7336,151
C2×S3×Dic7Direct product of C2, S3 and Dic7168C2xS3xDic7336,154
D7×C22×C6Direct product of C22×C6 and D7168D7xC2^2xC6336,225
C2×D21⋊C4Direct product of C2 and D21⋊C4168C2xD21:C4336,156
S3×C22×C14Direct product of C22×C14 and S3168S3xC2^2xC14336,226
C6×C7⋊C8Direct product of C6 and C7⋊C8336C6xC7:C8336,63
C7×C3⋊C16Direct product of C7 and C3⋊C163362C7xC3:C16336,3
C3×C7⋊C16Direct product of C3 and C7⋊C163362C3xC7:C16336,4
C14×C3⋊C8Direct product of C14 and C3⋊C8336C14xC3:C8336,79
C2×C21⋊C8Direct product of C2 and C21⋊C8336C2xC21:C8336,95
C2×C6×Dic7Direct product of C2×C6 and Dic7336C2xC6xDic7336,182
Dic3×C2×C14Direct product of C2×C14 and Dic3336Dic3xC2xC14336,192
C2×C8×C7⋊C3Direct product of C2×C8 and C7⋊C3112C2xC8xC7:C3336,51
C22×C4×C7⋊C3Direct product of C22×C4 and C7⋊C3112C2^2xC4xC7:C3336,164

Groups of order 337

C337Cyclic group3371C337337,1

Groups of order 338

C338Cyclic group3381C338338,2
D169Dihedral group1692+D169338,1
C13⋊D13The semidirect product of C13 and D13 acting via D13/C13=C2169C13:D13338,4
C13×C26Abelian group of type [13,26]338C13xC26338,5
C13×D13Direct product of C13 and D13; = AΣL1(𝔽169)262C13xD13338,3

Groups of order 339

C339Cyclic group3391C339339,1

Groups of order 340

C340Cyclic group3401C340340,4
D170Dihedral group; = C2×D851702+D170340,14
Dic85Dicyclic group; = C857C43402-Dic85340,3
C85⋊C43rd semidirect product of C85 and C4 acting faithfully854C85:C4340,6
C852C42nd semidirect product of C85 and C4 acting faithfully854+C85:2C4340,10
C173F5The 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
C2×C170Abelian group of type [2,170]340C2xC170340,15
D5×D17Direct product of D5 and D17854+D5xD17340,11
C17×F5Direct product of C17 and F5854C17xF5340,7
D5×C34Direct product of C34 and D51702D5xC34340,13
C10×D17Direct product of C10 and D171702C10xD17340,12
C17×Dic5Direct product of C17 and Dic53402C17xDic5340,1
C5×Dic17Direct product of C5 and Dic173402C5xDic17340,2
C5×C17⋊C4Direct product of C5 and C17⋊C4854C5xC17:C4340,5

Groups of order 341

C341Cyclic group3411C341341,1

Groups of order 342

C342Cyclic group3421C342342,6
D171Dihedral group1712+D171342,5
F19Frobenius group; = C19C18 = 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
C3×C114Abelian group of type [3,114]342C3xC114342,18
S3×C57Direct product of C57 and S31142S3xC57342,14
C3×D57Direct product of C3 and D571142C3xD57342,15
D9×C19Direct product of C19 and D91712D9xC19342,3
C9×D19Direct product of C9 and D191712C9xD19342,4
C32×D19Direct product of C32 and D19171C3^2xD19342,13
C2×C19⋊C9Direct product of C2 and C19⋊C9389C2xC19:C9342,8
C3×C19⋊C6Direct product of C3 and C19⋊C6576C3xC19:C6342,9
S3×C19⋊C3Direct product of S3 and C19⋊C3576S3xC19:C3342,10
C6×C19⋊C3Direct product of C6 and C19⋊C31143C6xC19:C3342,12
C3⋊S3×C19Direct product of C19 and C3⋊S3171C3:S3xC19342,16
C2×C192C9Direct product of C2 and C192C93423C2xC19:2C9342,2

Groups of order 343

C343Cyclic group3431C343343,1
C73Elementary abelian group of type [7,7,7]343C7^3343,5
C7×C49Abelian group of type [7,49]343C7xC49343,2

Groups of order 344

C344Cyclic group3441C344344,2
C43⋊C8The semidirect product of C43 and C8 acting via C8/C4=C23442C43:C8344,1
C2×C172Abelian group of type [2,172]344C2xC172344,8
C22×C86Abelian group of type [2,2,86]344C2^2xC86344,12
C4×D43Direct product of C4 and D431722C4xD43344,4
C22×D43Direct product of C22 and D43172C2^2xD43344,11
C2×Dic43Direct product of C2 and Dic43344C2xDic43344,6

Groups of order 345

C345Cyclic group3451C345345,1

Groups of order 346

C346Cyclic group3461C346346,2
D173Dihedral group1732+D173346,1

Groups of order 347

C347Cyclic group3471C347347,1

Groups of order 348

C348Cyclic group3481C348348,4
D174Dihedral group; = C2×D871742+D174348,11
Dic87Dicyclic group; = C873C43482-Dic87348,3
C87⋊C41st semidirect product of C87 and C4 acting faithfully874C87:C4348,6
C2×C174Abelian group of type [2,174]348C2xC174348,12
S3×D29Direct product of S3 and D29874+S3xD29348,7
A4×C29Direct product of C29 and A41163A4xC29348,8
S3×C58Direct product of C58 and S31742S3xC58348,10
C6×D29Direct product of C6 and D291742C6xD29348,9
Dic3×C29Direct product of C29 and Dic33482Dic3xC29348,1
C3×Dic29Direct product of C3 and Dic293482C3xDic29348,2
C3×C29⋊C4Direct product of C3 and C29⋊C4874C3xC29:C4348,5

Groups of order 349

C349Cyclic group3491C349349,1

Groups of order 350

C350Cyclic group3501C350350,4
D175Dihedral group1752+D175350,3
C5⋊D35The semidirect product of C5 and D35 acting via D35/C35=C2175C5:D35350,9
C5×C70Abelian group of type [5,70]350C5xC70350,10
D5×C35Direct product of C35 and D5702D5xC35350,6
C5×D35Direct product of C5 and D35702C5xD35350,7
C7×D25Direct product of C7 and D251752C7xD25350,1
D7×C25Direct product of C25 and D71752D7xC25350,2
D7×C52Direct product of C52 and D7175D7xC5^2350,5
C7×C5⋊D5Direct product of C7 and C5⋊D5175C7xC5:D5350,8

Groups of order 351

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
C3×C117Abelian group of type [3,117]351C3xC117351,9
C32×C39Abelian group of type [3,3,39]351C3^2xC39351,14
C9×C13⋊C3Direct product of C9 and C13⋊C31173C9xC13:C3351,3
C32×C13⋊C3Direct product of C32 and C13⋊C3117C3^2xC13:C3351,13
C3×C13⋊C9Direct product of C3 and C13⋊C9351C3xC13:C9351,6

Groups of order 352

C352Cyclic group3521C352352,2
C11⋊C32The semidirect product of C11 and C32 acting via C32/C16=C23522C11:C32352,1
C4×C88Abelian group of type [4,88]352C4xC88352,45
C2×C176Abelian group of type [2,176]352C2xC176352,58
C22×C88Abelian group of type [2,2,88]352C2^2xC88352,164
C23×C44Abelian group of type [2,2,2,44]352C2^3xC44352,188
C24×C22Abelian group of type [2,2,2,2,22]352C2^4xC22352,195
C2×C4×C44Abelian group of type [2,4,44]352C2xC4xC44352,149
C16×D11Direct product of C16 and D111762C16xD11352,3
C42×D11Direct product of C42 and D11176C4^2xD11352,66
C24×D11Direct product of C24 and D11176C2^4xD11352,194
C8×Dic11Direct product of C8 and Dic11352C8xDic11352,19
C23×Dic11Direct product of C23 and Dic11352C2^3xDic11352,186
C2×C8×D11Direct product of C2×C8 and D11176C2xC8xD11352,94
C22×C4×D11Direct product of C22×C4 and D11176C2^2xC4xD11352,174
C4×C11⋊C8Direct product of C4 and C11⋊C8352C4xC11:C8352,8
C2×C11⋊C16Direct product of C2 and C11⋊C16352C2xC11:C16352,17
C22×C11⋊C8Direct product of C22 and C11⋊C8352C2^2xC11:C8352,115
C2×C4×Dic11Direct product of C2×C4 and Dic11352C2xC4xDic11352,117

Groups of order 353

C353Cyclic group3531C353353,1

Groups of order 354

C354Cyclic group3541C354354,4
D177Dihedral group1772+D177354,3
S3×C59Direct product of C59 and S31772S3xC59354,1
C3×D59Direct product of C3 and D591772C3xD59354,2

Groups of order 355

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

Groups of order 356

C356Cyclic group3561C356356,2
D178Dihedral group; = C2×D891782+D178356,4
Dic89Dicyclic group; = C892C43562-Dic89356,1
C89⋊C4The semidirect product of C89 and C4 acting faithfully894+C89:C4356,3
C2×C178Abelian group of type [2,178]356C2xC178356,5

Groups of order 357

C357Cyclic group3571C357357,2
C17×C7⋊C3Direct product of C17 and C7⋊C31193C17xC7:C3357,1

Groups of order 358

C358Cyclic group3581C358358,2
D179Dihedral group1792+D179358,1

Groups of order 359

C359Cyclic group3591C359359,1

Groups of order 360

C360Cyclic group3601C360360,4
C5⋊F9The semidirect product of C5 and F9 acting via F9/C3⋊S3=C4458C5:F9360,125
C52F9The 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
C453C81st 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
(C3×C15)⋊9C86th semidirect product of C3×C15 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
(C3×C6).F5The non-split extension by C3×C6 of F5 acting via F5/C5=C41204-(C3xC6).F5360,57
C6×C60Abelian group of type [6,60]360C6xC60360,115
C2×C180Abelian group of type [2,180]360C2xC180360,30
C3×C120Abelian group of type [3,120]360C3xC120360,38
C22×C90Abelian group of type [2,2,90]360C2^2xC90360,50
C2×C6×C30Abelian group of type [2,6,30]360C2xC6xC30360,162
S3×A5Direct product of S3 and A5156+S3xA5360,121
C6×A5Direct product of C6 and A5303C6xA5360,122
D9×F5Direct product of D9 and F5458+D9xF5360,39
C5×F9Direct product of C5 and F9458C5xF9360,123
A4×D15Direct product of A4 and D15606+A4xD15360,144
A4×C30Direct product of C30 and A4903A4xC30360,156
C18×F5Direct product of C18 and F5904C18xF5360,43
S3×C60Direct product of C60 and S31202S3xC60360,96
C12×D15Direct product of C12 and D151202C12xD15360,101
Dic3×D15Direct product of Dic3 and D151204-Dic3xD15360,77
S3×Dic15Direct product of S3 and Dic151204-S3xDic15360,78
Dic3×C30Direct product of C30 and Dic3120Dic3xC30360,98
C6×Dic15Direct product of C6 and Dic15120C6xDic15360,103
D5×C36Direct product of C36 and D51802D5xC36360,16
D9×C20Direct product of C20 and D91802D9xC20360,21
C4×D45Direct product of C4 and D451802C4xD45360,26
D9×Dic5Direct product of D9 and Dic51804-D9xDic5360,8
D5×Dic9Direct product of D5 and Dic91804-D5xDic9360,11
D5×C62Direct product of C62 and D5180D5xC6^2360,157
C22×D45Direct product of C22 and D45180C2^2xD45360,49
C18×Dic5Direct product of C18 and Dic5360C18xDic5360,18
C10×Dic9Direct product of C10 and Dic9360C10xDic9360,23
C2×Dic45Direct product of C2 and Dic45360C2xDic45360,28
S32×D5Direct product of S3, S3 and D5308+S3^2xD5360,137
S3×C3⋊F5Direct product of S3 and C3⋊F5308S3xC3:F5360,128
C3×S3×F5Direct product of C3, S3 and F5308C3xS3xF5360,126
D5×C32⋊C4Direct product of D5 and C32⋊C4308+D5xC3^2:C4360,130
C3⋊S3×F5Direct product of C3⋊S3 and F545C3:S3xF5360,127
C5×S3×A4Direct product of C5, S3 and A4606C5xS3xA4360,143
C3×D5×A4Direct product of C3, D5 and A4606C3xD5xA4360,142
S3×C6×D5Direct product of C6, S3 and D5604S3xC6xD5360,151
C6×C3⋊F5Direct product of C6 and C3⋊F5604C6xC3:F5360,146
S32×C10Direct product of C10, S3 and S3604S3^2xC10360,153
C2×S3×D15Direct product of C2, S3 and D15604+C2xS3xD15360,154
C3×D5×Dic3Direct product of C3, D5 and Dic3604C3xD5xDic3360,58
C2×C32⋊F5Direct product of C2 and C32⋊F5604+C2xC3^2:F5360,150
C2×D15⋊S3Direct product of C2 and D15⋊S3604C2xD15:S3360,155
C10×C32⋊C4Direct product of C10 and C32⋊C4604C10xC3^2:C4360,148
C5×C6.D6Direct product of C5 and C6.D6604C5xC6.D6360,73
C2×C32⋊Dic5Direct product of C2 and C32⋊Dic5604C2xC3^2:Dic5360,149
C2×D5×D9Direct product of C2, D5 and D9904+C2xD5xD9360,45
C2×C9⋊F5Direct product of C2 and C9⋊F5904C2xC9:F5360,44
C3×C6×F5Direct product of C3×C6 and F590C3xC6xF5360,145
D5×C3.A4Direct product of D5 and C3.A4906D5xC3.A4360,42
C10×C3.A4Direct product of C10 and C3.A4903C10xC3.A4360,46
C2×C323F5Direct product of C2 and C323F590C2xC3^2:3F5360,147
C15×C3⋊C8Direct product of C15 and C3⋊C81202C15xC3:C8360,34
S3×C2×C30Direct product of C2×C30 and S3120S3xC2xC30360,158
C2×C6×D15Direct product of C2×C6 and D15120C2xC6xD15360,159
C3×C15⋊C8Direct product of C3 and C15⋊C81204C3xC15:C8360,53
C3×S3×Dic5Direct product of C3, S3 and Dic51204C3xS3xDic5360,59
C5×S3×Dic3Direct product of C5, S3 and Dic31204C5xS3xDic3360,72
C3×C153C8Direct product of C3 and C153C81202C3xC15:3C8360,35
C3×D30.C2Direct product of C3 and D30.C21204C3xD30.C2360,60
C5×C322C8Direct product of C5 and C322C81204C5xC3^2:2C8360,55
D5×C2×C18Direct product of C2×C18 and D5180D5xC2xC18360,47
D9×C2×C10Direct product of C2×C10 and D9180D9xC2xC10360,48
D5×C3×C12Direct product of C3×C12 and D5180D5xC3xC12360,91
C3⋊S3×C20Direct product of C20 and C3⋊S3180C3:S3xC20360,106
C4×C3⋊D15Direct product of C4 and C3⋊D15180C4xC3:D15360,111
D5×C3⋊Dic3Direct product of D5 and C3⋊Dic3180D5xC3:Dic3360,65
C3⋊S3×Dic5Direct product of C3⋊S3 and Dic5180C3:S3xDic5360,66
C22×C3⋊D15Direct product of C22 and C3⋊D15180C2^2xC3:D15360,161
C5×C9⋊C8Direct product of C5 and C9⋊C83602C5xC9:C8360,1
C9×C5⋊C8Direct product of C9 and C5⋊C83604C9xC5:C8360,5
C9×C52C8Direct product of C9 and C52C83602C9xC5:2C8360,2
C32×C5⋊C8Direct product of C32 and C5⋊C8360C3^2xC5:C8360,52
C3×C6×Dic5Direct product of C3×C6 and Dic5360C3xC6xDic5360,93
C10×C3⋊Dic3Direct product of C10 and C3⋊Dic3360C10xC3:Dic3360,108
C2×C3⋊Dic15Direct product of C2 and C3⋊Dic15360C2xC3:Dic15360,113
C32×C52C8Direct product of C32 and C52C8360C3^2xC5:2C8360,33
C5×C324C8Direct product of C5 and C324C8360C5xC3^2:4C8360,36
C2×D5×C3⋊S3Direct product of C2, D5 and C3⋊S390C2xD5xC3:S3360,152
C3⋊S3×C2×C10Direct product of C2×C10 and C3⋊S3180C3:S3xC2xC10360,160

Groups of order 361

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

Groups of order 362

C362Cyclic group3621C362362,2
D181Dihedral group1812+D181362,1

Groups of order 363

C363Cyclic group3631C363363,1
C112⋊C3The semidirect product of C112 and C3 acting faithfully333C11^2:C3363,2
C11×C33Abelian group of type [11,33]363C11xC33363,3

Groups of order 364

C364Cyclic group3641C364364,4
D182Dihedral group; = C2×D911822+D182364,10
Dic91Dicyclic group; = C913C43642-Dic91364,3
C91⋊C41st semidirect product of C91 and C4 acting faithfully914C91:C4364,6
C2×C182Abelian group of type [2,182]364C2xC182364,11
D7×D13Direct product of D7 and D13914+D7xD13364,7
D7×C26Direct product of C26 and D71822D7xC26364,9
C14×D13Direct product of C14 and D131822C14xD13364,8
C13×Dic7Direct product of C13 and Dic73642C13xDic7364,1
C7×Dic13Direct product of C7 and Dic133642C7xDic13364,2
C7×C13⋊C4Direct product of C7 and C13⋊C4914C7xC13:C4364,5

Groups of order 365

C365Cyclic group3651C365365,1

Groups of order 366

C366Cyclic group3661C366366,6
D183Dihedral group1832+D183366,5
C61⋊C6The semidirect product of C61 and C6 acting faithfully616+C61:C6366,1
S3×C61Direct product of C61 and S31832S3xC61366,3
C3×D61Direct product of C3 and D611832C3xD61366,4
C2×C61⋊C3Direct product of C2 and C61⋊C31223C2xC61:C3366,2

Groups of order 367

C367Cyclic group3671C367367,1

Groups of order 368

C368Cyclic group3681C368368,2
C23⋊C16The semidirect product of C23 and C16 acting via C16/C8=C23682C23:C16368,1
C4×C92Abelian group of type [4,92]368C4xC92368,19
C2×C184Abelian group of type [2,184]368C2xC184368,22
C22×C92Abelian group of type [2,2,92]368C2^2xC92368,37
C23×C46Abelian group of type [2,2,2,46]368C2^3xC46368,42
C8×D23Direct product of C8 and D231842C8xD23368,3
C23×D23Direct product of C23 and D23184C2^3xD23368,41
C4×Dic23Direct product of C4 and Dic23368C4xDic23368,10
C22×Dic23Direct product of C22 and Dic23368C2^2xDic23368,35
C2×C4×D23Direct product of C2×C4 and D23184C2xC4xD23368,28
C2×C23⋊C8Direct product of C2 and C23⋊C8368C2xC23:C8368,8

Groups of order 369

C369Cyclic group3691C369369,1
C3×C123Abelian group of type [3,123]369C3xC123369,2

Groups of order 370

C370Cyclic group3701C370370,4
D185Dihedral group1852+D185370,3
D5×C37Direct product of C37 and D51852D5xC37370,1
C5×D37Direct product of C5 and D371852C5xD37370,2

Groups of order 371

C371Cyclic group3711C371371,1

Groups of order 372

C372Cyclic group3721C372372,6
D186Dihedral group; = C2×D931862+D186372,14
Dic93Dicyclic group; = C931C43722-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
C2×C186Abelian group of type [2,186]372C2xC186372,15
S3×D31Direct product of S3 and D31934+S3xD31372,8
A4×C31Direct product of C31 and A41243A4xC31372,10
S3×C62Direct product of C62 and S31862S3xC62372,13
C6×D31Direct product of C6 and D311862C6xD31372,12
Dic3×C31Direct product of C31 and Dic33722Dic3xC31372,3
C3×Dic31Direct product of C3 and Dic313722C3xDic31372,4
C2×C31⋊C6Direct product of C2 and C31⋊C6626+C2xC31:C6372,7
C4×C31⋊C3Direct product of C4 and C31⋊C31243C4xC31:C3372,2
C22×C31⋊C3Direct product of C22 and C31⋊C3124C2^2xC31:C3372,9

Groups of order 373

C373Cyclic group3731C373373,1

Groups of order 374

C374Cyclic group3741C374374,4
D187Dihedral group1872+D187374,3
C17×D11Direct product of C17 and D111872C17xD11374,1
C11×D17Direct product of C11 and D171872C11xD17374,2

Groups of order 375

C375Cyclic group3751C375375,1
C5×C75Abelian group of type [5,75]375C5xC75375,3
C52×C15Abelian group of type [5,5,15]375C5^2xC15375,7
C5×C52⋊C3Direct product of C5 and C52⋊C3; = AΣL1(𝔽125)153C5xC5^2:C3375,6

Groups of order 376

C376Cyclic group3761C376376,2
C47⋊C8The semidirect product of C47 and C8 acting via C8/C4=C23762C47:C8376,1
C2×C188Abelian group of type [2,188]376C2xC188376,8
C22×C94Abelian group of type [2,2,94]376C2^2xC94376,12
C4×D47Direct product of C4 and D471882C4xD47376,4
C22×D47Direct product of C22 and D47188C2^2xD47376,11
C2×Dic47Direct product of C2 and Dic47376C2xDic47376,6

Groups of order 377

C377Cyclic group3771C377377,1

Groups of order 378

C378Cyclic group3781C378378,6
D189Dihedral group1892+D189378,5
C95F7The semidirect product of C9 and F7 acting via F7/C7⋊C3=C2636+C9:5F7378,20
C324F72nd 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
C3×C126Abelian group of type [3,126]378C3xC126378,44
C32×C42Abelian group of type [3,3,42]378C3^2xC42378,60
C9×F7Direct product of C9 and F7636C9xF7378,7
C32×F7Direct product of C32 and F763C3^2xF7378,47
S3×C63Direct product of C63 and S31262S3xC63378,33
D9×C21Direct product of C21 and D91262D9xC21378,32
C3×D63Direct product of C3 and D631262C3xD63378,36
C9×D21Direct product of C9 and D211262C9xD21378,37
C32×D21Direct product of C32 and D21126C3^2xD21378,55
C7×D27Direct product of C7 and D271892C7xD27378,3
D7×C27Direct product of C27 and D71892D7xC27378,4
D7×C33Direct product of C33 and D7189D7xC3^3378,53
C3×C3⋊F7Direct product of C3 and C3⋊F7426C3xC3:F7378,49
D9×C7⋊C3Direct product of D9 and C7⋊C3636D9xC7:C3378,15
S3×C7⋊C9Direct product of S3 and C7⋊C91266S3xC7:C9378,16
C18×C7⋊C3Direct product of C18 and C7⋊C31263C18xC7:C3378,23
S3×C3×C21Direct product of C3×C21 and S3126S3xC3xC21378,54
C3⋊S3×C21Direct product of C21 and C3⋊S3126C3:S3xC21378,56
C3×C3⋊D21Direct product of C3 and C3⋊D21126C3xC3:D21378,57
D7×C3×C9Direct product of C3×C9 and D7189D7xC3xC9378,29
C3×C7⋊C18Direct product of C3 and C7⋊C18189C3xC7:C18378,10
C7×C9⋊S3Direct product of C7 and C9⋊S3189C7xC9:S3378,40
C7×C33⋊C2Direct product of C7 and C33⋊C2189C7xC3^3:C2378,58
C6×C7⋊C9Direct product of C6 and C7⋊C9378C6xC7:C9378,26
C2×C7⋊C27Direct product of C2 and C7⋊C273783C2xC7:C27378,2
C3×S3×C7⋊C3Direct product of C3, S3 and C7⋊C3426C3xS3xC7:C3378,48
C3⋊S3×C7⋊C3Direct product of C3⋊S3 and C7⋊C363C3:S3xC7:C3378,50
C3×C6×C7⋊C3Direct product of C3×C6 and C7⋊C3126C3xC6xC7:C3378,52

Groups of order 379

C379Cyclic group3791C379379,1

Groups of order 380

C380Cyclic group3801C380380,4
D190Dihedral group; = C2×D951902+D190380,10
Dic95Dicyclic group; = C953C43802-Dic95380,3
C19⋊F5The semidirect product of C19 and F5 acting via F5/D5=C2954C19:F5380,6
C2×C190Abelian group of type [2,190]380C2xC190380,11
D5×D19Direct product of D5 and D19954+D5xD19380,7
C19×F5Direct product of C19 and F5954C19xF5380,5
D5×C38Direct product of C38 and D51902D5xC38380,9
C10×D19Direct product of C10 and D191902C10xD19380,8
C19×Dic5Direct product of C19 and Dic53802C19xDic5380,1
C5×Dic19Direct product of C5 and Dic193802C5xDic19380,2

Groups of order 381

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

Groups of order 382

C382Cyclic group3821C382382,2
D191Dihedral group1912+D191382,1

Groups of order 383

C383Cyclic group3831C383383,1

Groups of order 385

C385Cyclic group3851C385385,2
C7×C11⋊C5Direct product of C7 and C11⋊C5775C7xC11:C5385,1

Groups of order 386

C386Cyclic group3861C386386,2
D193Dihedral group1932+D193386,1

Groups of order 387

C387Cyclic group3871C387387,2
C43⋊C9The semidirect product of C43 and C9 acting via C9/C3=C33873C43:C9387,1
C3×C129Abelian group of type [3,129]387C3xC129387,4
C3×C43⋊C3Direct product of C3 and C43⋊C31293C3xC43:C3387,3

Groups of order 388

C388Cyclic group3881C388388,2
D194Dihedral group; = C2×D971942+D194388,4
Dic97Dicyclic group; = C972C43882-Dic97388,1
C97⋊C4The semidirect product of C97 and C4 acting faithfully974+C97:C4388,3
C2×C194Abelian group of type [2,194]388C2xC194388,5

Groups of order 389

C389Cyclic group3891C389389,1

Groups of order 390

C390Cyclic group3901C390390,12
D195Dihedral group1952+D195390,11
D65⋊C3The semidirect product of D65 and C3 acting faithfully656+D65:C3390,3
S3×C65Direct product of C65 and S31952S3xC65390,8
D5×C39Direct product of C39 and D51952D5xC39390,6
C3×D65Direct product of C3 and D651952C3xD65390,7
C5×D39Direct product of C5 and D391952C5xD39390,9
C15×D13Direct product of C15 and D131952C15xD13390,5
C13×D15Direct product of C13 and D151952C13xD15390,10
C5×C13⋊C6Direct product of C5 and C13⋊C6656C5xC13:C6390,1
D5×C13⋊C3Direct product of D5 and C13⋊C3656D5xC13:C3390,2
C10×C13⋊C3Direct product of C10 and C13⋊C31303C10xC13:C3390,4

Groups of order 391

C391Cyclic group3911C391391,1

Groups of order 392

C392Cyclic group3921C392392,2
C72⋊C8The semidirect product of C72 and C8 acting faithfully288+C7^2:C8392,36
Dic72D7The semidirect product of Dic7 and D7 acting through Inn(Dic7)284+Dic7:2D7392,19
C722C8The 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
C724C82nd semidirect product of C72 and C8 acting via C8/C4=C2392C7^2:4C8392,15
C7.F8The central extension by C7 of F8987C7.F8392,11
C7×C56Abelian group of type [7,56]392C7xC56392,16
C2×C196Abelian group of type [2,196]392C2xC196392,8
C14×C28Abelian group of type [14,28]392C14xC28392,33
C22×C98Abelian group of type [2,2,98]392C2^2xC98392,13
C2×C142Abelian group of type [2,14,14]392C2xC14^2392,44
C7×F8Direct product of C7 and F8567C7xF8392,39
D7×C28Direct product of C28 and D7562D7xC28392,24
D7×Dic7Direct product of D7 and Dic7564-D7xDic7392,18
C14×Dic7Direct product of C14 and Dic756C14xDic7392,26
C4×D49Direct product of C4 and D491962C4xD49392,4
C22×D49Direct product of C22 and D49196C2^2xD49392,12
C2×Dic49Direct product of C2 and Dic49392C2xDic49392,6
C2×D72Direct product of C2, D7 and D7284+C2xD7^2392,41
C2×C72⋊C4Direct product of C2 and C72⋊C4284+C2xC7^2:C4392,40
C7×C7⋊C8Direct product of C7 and C7⋊C8562C7xC7:C8392,14
D7×C2×C14Direct product of C2×C14 and D756D7xC2xC14392,42
C4×C7⋊D7Direct product of C4 and C7⋊D7196C4xC7:D7392,29
C22×C7⋊D7Direct product of C22 and C7⋊D7196C2^2xC7:D7392,43
C2×C7⋊Dic7Direct product of C2 and C7⋊Dic7392C2xC7:Dic7392,31

Groups of order 393

C393Cyclic group3931C393393,1

Groups of order 394

C394Cyclic group3941C394394,2
D197Dihedral group1972+D197394,1

Groups of order 395

C395Cyclic group3951C395395,1

Groups of order 396

C396Cyclic group3961C396396,4
D198Dihedral group; = C2×D991982+D198396,9
Dic99Dicyclic group; = C991C43962-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
C6×C66Abelian group of type [6,66]396C6xC66396,30
C2×C198Abelian group of type [2,198]396C2xC198396,10
C3×C132Abelian group of type [3,132]396C3xC132396,16
S3×D33Direct product of S3 and D33664+S3xD33396,22
D9×D11Direct product of D9 and D11994+D9xD11396,5
S3×C66Direct product of C66 and S31322S3xC66396,26
A4×C33Direct product of C33 and A41323A4xC33396,24
C6×D33Direct product of C6 and D331322C6xD33396,27
Dic3×C33Direct product of C33 and Dic31322Dic3xC33396,12
C3×Dic33Direct product of C3 and Dic331322C3xDic33396,13
D9×C22Direct product of C22 and D91982D9xC22396,8
C18×D11Direct product of C18 and D111982C18xD11396,7
C11×Dic9Direct product of C11 and Dic93962C11xDic9396,1
C9×Dic11Direct product of C9 and Dic113962C9xDic11396,2
C32×Dic11Direct product of C32 and Dic11396C3^2xDic11396,11
S32×C11Direct product of C11, S3 and S3664S3^2xC11396,21
C3×S3×D11Direct product of C3, S3 and D11664C3xS3xD11396,19
C11×C32⋊C4Direct product of C11 and C32⋊C4664C11xC3^2:C4396,17
C3⋊S3×D11Direct product of C3⋊S3 and D1199C3:S3xD11396,20
C3×C6×D11Direct product of C3×C6 and D11198C3xC6xD11396,25
C3⋊S3×C22Direct product of C22 and C3⋊S3198C3:S3xC22396,28
C2×C3⋊D33Direct product of C2 and C3⋊D33198C2xC3:D33396,29
C11×C3.A4Direct product of C11 and C3.A41983C11xC3.A4396,6
C11×C3⋊Dic3Direct product of C11 and C3⋊Dic3396C11xC3:Dic3396,14

Groups of order 397

C397Cyclic group3971C397397,1

Groups of order 398

C398Cyclic group3981C398398,2
D199Dihedral group1992+D199398,1

Groups of order 399

C399Cyclic group3991C399399,5
C133⋊C33rd semidirect product of C133 and C3 acting faithfully1333C133:C3399,3
C1334C34th semidirect product of C133 and C3 acting faithfully1333C133:4C3399,4
C19×C7⋊C3Direct product of C19 and C7⋊C31333C19xC7:C3399,1
C7×C19⋊C3Direct product of C7 and C19⋊C31333C7xC19:C3399,2

Groups of order 400

C400Cyclic group4001C400400,2
C523C422nd semidirect product of C52 and C42 acting via C42/C2=C2×C4208+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
C523C162nd semidirect product of C52 and C16 acting via C16/C4=C4804C5^2:3C16400,57
C525C164th 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
C252C16The semidirect product of C25 and C16 acting via C16/C8=C24002C25:2C16400,1
C527C162nd semidirect product of C52 and C16 acting via C16/C8=C2400C5^2:7C16400,50
C524C163rd 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
C5×C80Abelian group of type [5,80]400C5xC80400,51
C4×C100Abelian group of type [4,100]400C4xC100400,20
C2×C200Abelian group of type [2,200]400C2xC200400,23
C10×C40Abelian group of type [10,40]400C10xC40400,111
C23×C50Abelian group of type [2,2,2,50]400C2^3xC50400,55
C22×C100Abelian group of type [2,2,100]400C2^2xC100400,45
C22×C102Abelian group of type [2,2,10,10]400C2^2xC10^2400,221
C2×C10×C20Abelian group of type [2,10,20]400C2xC10xC20400,201
F52Direct product of F5 and F5; = Hol(F5)2016+F5^2400,205
D5×C40Direct product of C40 and D5802D5xC40400,76
C20×F5Direct product of C20 and F5804C20xF5400,137
Dic52Direct product of Dic5 and Dic580Dic5^2400,71
Dic5×F5Direct product of Dic5 and F5808-Dic5xF5400,117
Dic5×C20Direct product of C20 and Dic580Dic5xC20400,83
C8×D25Direct product of C8 and D252002C8xD25400,5
C23×D25Direct product of C23 and D25200C2^3xD25400,54
C4×Dic25Direct product of C4 and Dic25400C4xDic25400,11
C22×Dic25Direct product of C22 and Dic25400C2^2xDic25400,43
C2×D5⋊F5Direct product of C2 and D5⋊F5208+C2xD5:F5400,210
C2×C52⋊C8Direct product of C2 and C52⋊C8208+C2xC5^2:C8400,208
C4×D52Direct product of C4, D5 and D5404C4xD5^2400,169
C2×D5×F5Direct product of C2, D5 and F5408+C2xD5xF5400,209
C22×D52Direct product of C22, D5 and D540C2^2xD5^2400,218
C4×C52⋊C4Direct product of C4 and C52⋊C4404C4xC5^2:C4400,158
C22×C52⋊C4Direct product of C22 and C52⋊C440C2^2xC5^2:C4400,217
C2×Dic52D5Direct product of C2 and Dic52D540C2xDic5:2D5400,175
C5×C24⋊C5Direct product of C5 and C24⋊C5505C5xC2^4:C5400,213
D5×C5⋊C8Direct product of D5 and C5⋊C8808-D5xC5:C8400,120
C5×C5⋊C16Direct product of C5 and C5⋊C16804C5xC5:C16400,56
C10×C5⋊C8Direct product of C10 and C5⋊C880C10xC5:C8400,139
D5×C2×C20Direct product of C2×C20 and D580D5xC2xC20400,182
F5×C2×C10Direct product of C2×C10 and F580F5xC2xC10400,214
C5×D5⋊C8Direct product of C5 and D5⋊C8804C5xD5:C8400,135
D5×C52C8Direct product of D5 and C52C8804D5xC5:2C8400,60
C2×D5×Dic5Direct product of C2, D5 and Dic580C2xD5xDic5400,172
C5×C52C16Direct product of C5 and C52C16802C5xC5:2C16400,49
C10×C52C8Direct product of C10 and C52C880C10xC5:2C8400,81
C4×D5.D5Direct product of C4 and D5.D5804C4xD5.D5400,144
Dic5×C2×C10Direct product of C2×C10 and Dic580Dic5xC2xC10400,189
D5×C22×C10Direct product of C22×C10 and D580D5xC2^2xC10400,219
C2×C523C8Direct product of C2 and C523C880C2xC5^2:3C8400,146
C2×C525C8Direct product of C2 and C525C880C2xC5^2:5C8400,160
C22×D5.D5Direct product of C22 and D5.D580C2^2xD5.D5400,215
C4×C25⋊C4Direct product of C4 and C25⋊C41004C4xC25:C4400,30
C4×C5⋊F5Direct product of C4 and C5⋊F5100C4xC5:F5400,151
C22×C25⋊C4Direct product of C22 and C25⋊C4100C2^2xC25:C4400,53
C22×C5⋊F5Direct product of C22 and C5⋊F5100C2^2xC5:F5400,216
C8×C5⋊D5Direct product of C8 and C5⋊D5200C8xC5:D5400,92
C2×C4×D25Direct product of C2×C4 and D25200C2xC4xD25400,36
C23×C5⋊D5Direct product of C23 and C5⋊D5200C2^3xC5:D5400,220
C2×C25⋊C8Direct product of C2 and C25⋊C8400C2xC25:C8400,32
C2×C252C8Direct product of C2 and C252C8400C2xC25:2C8400,9
C2×C527C8Direct product of C2 and C527C8400C2xC5^2:7C8400,97
C4×C526C4Direct product of C4 and C526C4400C4xC5^2:6C4400,99
C2×C524C8Direct product of C2 and C524C8400C2xC5^2:4C8400,153
C22×C526C4Direct product of C22 and C526C4400C2^2xC5^2:6C4400,199
C2×C4×C5⋊D5Direct product of C2×C4 and C5⋊D5200C2xC4xC5:D5400,192

Groups of order 401

C401Cyclic group4011C401401,1

Groups of order 402

C402Cyclic group4021C402402,6
D201Dihedral group2012+D201402,5
C67⋊C6The semidirect product of C67 and C6 acting faithfully676+C67:C6402,1
S3×C67Direct product of C67 and S32012S3xC67402,3
C3×D67Direct product of C3 and D672012C3xD67402,4
C2×C67⋊C3Direct product of C2 and C67⋊C31343C2xC67:C3402,2

Groups of order 403

C403Cyclic group4031C403403,1

Groups of order 404

C404Cyclic group4041C404404,2
D202Dihedral group; = C2×D1012022+D202404,4
Dic101Dicyclic group; = C1012C44042-Dic101404,1
C101⋊C4The semidirect product of C101 and C4 acting faithfully1014+C101:C4404,3
C2×C202Abelian group of type [2,202]404C2xC202404,5

Groups of order 405

C405Cyclic group4051C405405,1
C34⋊C5The semidirect product of C34 and C5 acting faithfully155C3^4:C5405,15
C9×C45Abelian group of type [9,45]405C9xC45405,2
C3×C135Abelian group of type [3,135]405C3xC135405,5
C32×C45Abelian group of type [3,3,45]405C3^2xC45405,11
C33×C15Abelian group of type [3,3,3,15]405C3^3xC15405,16

Groups of order 406

C406Cyclic group4061C406406,6
D203Dihedral group2032+D203406,5
C29⋊C14The semidirect product of C29 and C14 acting faithfully2914+C29:C14406,1
D7×C29Direct product of C29 and D72032D7xC29406,3
C7×D29Direct product of C7 and D292032C7xD29406,4
C2×C29⋊C7Direct product of C2 and C29⋊C7587C2xC29:C7406,2

Groups of order 407

C407Cyclic group4071C407407,1

Groups of order 408

C408Cyclic group4081C408408,4
C51⋊C81st semidirect product of C51 and C8 acting faithfully518C51:C8408,34
D512C4The semidirect product of D51 and C4 acting via C4/C2=C22044+D51:2C4408,9
C515C81st semidirect product of C51 and C8 acting via C8/C4=C24082C51:5C8408,3
C513C81st semidirect product of C51 and C8 acting via C8/C2=C44084C51:3C8408,6
C2×C204Abelian group of type [2,204]408C2xC204408,30
C22×C102Abelian group of type [2,2,102]408C2^2xC102408,46
A4×D17Direct product of A4 and D17686+A4xD17408,38
A4×C34Direct product of C34 and A41023A4xC34408,42
S3×C68Direct product of C68 and S32042S3xC68408,21
C4×D51Direct product of C4 and D512042C4xD51408,26
C12×D17Direct product of C12 and D172042C12xD17408,16
Dic3×D17Direct product of Dic3 and D172044-Dic3xD17408,7
S3×Dic17Direct product of S3 and Dic172044-S3xDic17408,8
C22×D51Direct product of C22 and D51204C2^2xD51408,45
C6×Dic17Direct product of C6 and Dic17408C6xDic17408,18
Dic3×C34Direct product of C34 and Dic3408Dic3xC34408,23
C2×Dic51Direct product of C2 and Dic51408C2xDic51408,28
C3×C17⋊C8Direct product of C3 and C17⋊C8518C3xC17:C8408,33
S3×C17⋊C4Direct product of S3 and C17⋊C4518+S3xC17:C4408,35
C6×C17⋊C4Direct product of C6 and C17⋊C41024C6xC17:C4408,39
C2×S3×D17Direct product of C2, S3 and D171024+C2xS3xD17408,41
C2×C51⋊C4Direct product of C2 and C51⋊C41024C2xC51:C4408,40
S3×C2×C34Direct product of C2×C34 and S3204S3xC2xC34408,44
C2×C6×D17Direct product of C2×C6 and D17204C2xC6xD17408,43
C17×C3⋊C8Direct product of C17 and C3⋊C84082C17xC3:C8408,1
C3×C173C8Direct product of C3 and C173C84082C3xC17:3C8408,2
C3×C172C8Direct product of C3 and C172C84084C3xC17:2C8408,5

Groups of order 409

C409Cyclic group4091C409409,1

Groups of order 410

C410Cyclic group4101C410410,6
D205Dihedral group2052+D205410,5
C41⋊C10The semidirect product of C41 and C10 acting faithfully4110+C41:C10410,1
D5×C41Direct product of C41 and D5