Metacyclic groups

A metacyclic group is an extension of a cyclic group by a cyclic group. All metacyclic groups are super​soluble and in particular monomial. See also metabelian 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
D4Dihedral group; = He2 = AΣL1(𝔽4) = 2+ 1+2 = square symmetries42+D48,3
Q8Quaternion group; = C4.C2 = Dic2 = 2- 1+282-Q88,4
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
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
D8Dihedral group82+D816,7
Q16Generalised quaternion group; = C8.C2 = Dic4162-Q1616,9
SD16Semidihedral group; = Q8C2 = QD1682SD1616,8
M4(2)Modular maximal-cyclic group; = C83C282M4(2)16,6
C4⋊C4The semidirect product of C4 and C4 acting via C4/C2=C216C4:C416,4
C42Abelian group of type [4,4]16C4^216,2
C2×C8Abelian group of type [2,8]16C2xC816,5

Groups of order 17

C17Cyclic group171C1717,1

Groups of order 18

C18Cyclic group181C1818,2
D9Dihedral group92+D918,1
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
D12Dihedral group122+D1224,6
Dic6Dicyclic group; = C3Q8242-Dic624,4
C3⋊C8The semidirect product of C3 and C8 acting via C8/C4=C2242C3:C824,1
C2×C12Abelian group of type [2,12]24C2xC1224,9
C4×S3Direct product of C4 and S3122C4xS324,5
C3×D4Direct product of C3 and D4122C3xD424,10
C3×Q8Direct product of C3 and Q8242C3xQ824,11
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
3- 1+2Extraspecial group93ES-(3,1)27,4
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
D16Dihedral group162+D1632,18
Q32Generalised quaternion group; = C16.C2 = Dic8322-Q3232,20
SD32Semidihedral group; = C162C2 = QD32162SD3232,19
M5(2)Modular maximal-cyclic group; = C163C2162M5(2)32,17
C4⋊C8The semidirect product of C4 and C8 acting via C8/C4=C232C4:C832,12
C8⋊C43rd semidirect product of C8 and C4 acting via C4/C2=C232C8:C432,4
C8.C41st non-split extension by C8 of C4 acting via C4/C2=C2162C8.C432,15
C2.D82nd central extension by C2 of D832C2.D832,14
C4.Q81st non-split extension by C4 of Q8 acting via Q8/C4=C232C4.Q832,13
C4×C8Abelian group of type [4,8]32C4xC832,3
C2×C16Abelian group of type [2,16]32C2xC1632,16

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
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
S3×C6Direct product of C6 and S3122S3xC636,12
C3×Dic3Direct product of C3 and Dic3122C3xDic336,6

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
D20Dihedral group202+D2040,6
Dic10Dicyclic group; = C5Q8402-Dic1040,4
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
C2×F5Direct product of C2 and F5; = Aut(D10) = Hol(C10)104+C2xF540,12
C4×D5Direct product of C4 and D5202C4xD540,5
C5×D4Direct product of C5 and D4202C5xD440,10
C5×Q8Direct product of C5 and Q8402C5xQ840,11
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
D24Dihedral group242+D2448,7
Dic12Dicyclic group; = C31Q16482-Dic1248,8
C8⋊S33rd semidirect product of C8 and S3 acting via S3/C3=C2242C8:S348,5
C24⋊C22nd semidirect product of C24 and C2 acting faithfully242C24:C248,6
C3⋊C16The semidirect product of C3 and C16 acting via C16/C8=C2482C3:C1648,1
C4⋊Dic3The semidirect product of C4 and Dic3 acting via Dic3/C6=C248C4:Dic348,13
C4.Dic3The non-split extension by C4 of Dic3 acting via Dic3/C6=C2242C4.Dic348,10
C4×C12Abelian group of type [4,12]48C4xC1248,20
C2×C24Abelian group of type [2,24]48C2xC2448,23
S3×C8Direct product of C8 and S3242S3xC848,4
C3×D8Direct product of C3 and D8242C3xD848,25
C3×SD16Direct product of C3 and SD16242C3xSD1648,26
C3×M4(2)Direct product of C3 and M4(2)242C3xM4(2)48,24
C3×Q16Direct product of C3 and Q16482C3xQ1648,27
C4×Dic3Direct product of C4 and Dic348C4xDic348,11
C2×C3⋊C8Direct product of C2 and C3⋊C848C2xC3:C848,9
C3×C4⋊C4Direct product of C3 and C4⋊C448C3xC4:C448,22

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×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⋊C6The semidirect product of C9 and C6 acting faithfully; = Aut(D9) = Hol(C9)96+C9:C654,6
C3×C18Abelian group of type [3,18]54C3xC1854,9
S3×C9Direct product of C9 and S3182S3xC954,4
C3×D9Direct product of C3 and D9182C3xD954,3
C2×3- 1+2Direct product of C2 and 3- 1+2183C2xES-(3,1)54,11

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
D28Dihedral group282+D2856,5
Dic14Dicyclic group; = C7Q8562-Dic1456,3
C7⋊C8The semidirect product of C7 and C8 acting via C8/C4=C2562C7:C856,1
C2×C28Abelian group of type [2,28]56C2xC2856,8
C4×D7Direct product of C4 and D7282C4xD756,4
C7×D4Direct product of C7 and D4282C7xD456,9
C7×Q8Direct product of C7 and Q8562C7xQ856,10
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
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
C3×F5Direct product of C3 and F5154C3xF560,6
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
D32Dihedral group322+D3264,52
Q64Generalised quaternion group; = C32.C2 = Dic16642-Q6464,54
SD64Semidihedral group; = C322C2 = QD64322SD6464,53
M6(2)Modular maximal-cyclic group; = C323C2322M6(2)64,51
C16⋊C42nd semidirect product of C16 and C4 acting faithfully164C16:C464,28
C4⋊C16The semidirect product of C4 and C16 acting via C16/C8=C264C4:C1664,44
C8⋊C83rd semidirect product of C8 and C8 acting via C8/C4=C264C8:C864,3
C82C82nd semidirect product of C8 and C8 acting via C8/C4=C264C8:2C864,15
C81C81st semidirect product of C8 and C8 acting via C8/C4=C264C8:1C864,16
C165C43rd semidirect product of C16 and C4 acting via C4/C2=C264C16:5C464,27
C163C41st semidirect product of C16 and C4 acting via C4/C2=C264C16:3C464,47
C164C42nd semidirect product of C16 and C4 acting via C4/C2=C264C16:4C464,48
C8.Q8The non-split extension by C8 of Q8 acting via Q8/C2=C22164C8.Q864,46
C8.C81st non-split extension by C8 of C8 acting via C8/C4=C2162C8.C864,45
C8.4Q83rd non-split extension by C8 of Q8 acting via Q8/C4=C2322C8.4Q864,49
C82Abelian group of type [8,8]64C8^264,2
C4×C16Abelian group of type [4,16]64C4xC1664,26
C2×C32Abelian group of type [2,32]64C2xC3264,50

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
D36Dihedral group362+D3672,6
Dic18Dicyclic group; = C9Q8722-Dic1872,4
C9⋊C8The semidirect product of C9 and C8 acting via C8/C4=C2722C9:C872,1
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
S3×C12Direct product of C12 and S3242S3xC1272,27
C3×D12Direct product of C3 and D12242C3xD1272,28
C3×Dic6Direct product of C3 and Dic6242C3xDic672,26
C6×Dic3Direct product of C6 and Dic324C6xDic372,29
C4×D9Direct product of C4 and D9362C4xD972,5
D4×C9Direct product of C9 and D4362D4xC972,10
D4×C32Direct product of C32 and D436D4xC3^272,37
Q8×C9Direct product of C9 and Q8722Q8xC972,11
C2×Dic9Direct product of C2 and Dic972C2xDic972,7
Q8×C32Direct product of C32 and Q872Q8xC3^272,38
C3×C3⋊C8Direct product of C3 and C3⋊C8242C3xC3:C872,12

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
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
D40Dihedral group402+D4080,7
Dic20Dicyclic group; = C51Q16802-Dic2080,8
C4⋊F5The semidirect product of C4 and F5 acting via F5/D5=C2204C4:F580,31
D5⋊C8The semidirect product of D5 and C8 acting via C8/C4=C2404D5:C880,28
C8⋊D53rd semidirect product of C8 and D5 acting via D5/C5=C2402C8:D580,5
C40⋊C22nd semidirect product of C40 and C2 acting faithfully402C40:C280,6
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⋊Dic5The semidirect product of C4 and Dic5 acting via Dic5/C10=C280C4:Dic580,13
C4.F5The non-split extension by C4 of F5 acting via F5/D5=C2404C4.F580,29
C4.Dic5The non-split extension by C4 of Dic5 acting via Dic5/C10=C2402C4.Dic580,10
C4×C20Abelian group of type [4,20]80C4xC2080,20
C2×C40Abelian group of type [2,40]80C2xC4080,23
C4×F5Direct product of C4 and F5204C4xF580,30
C8×D5Direct product of C8 and D5402C8xD580,4
C5×D8Direct product of C5 and D8402C5xD880,25
C5×SD16Direct product of C5 and SD16402C5xSD1680,26
C5×M4(2)Direct product of C5 and M4(2)402C5xM4(2)80,24
C5×Q16Direct product of C5 and Q16802C5xQ1680,27
C4×Dic5Direct product of C4 and Dic580C4xDic580,11
C2×C5⋊C8Direct product of C2 and C5⋊C880C2xC5:C880,32
C5×C4⋊C4Direct product of C5 and C4⋊C480C5xC4:C480,22
C2×C52C8Direct product of C2 and C52C880C2xC5:2C880,9

Groups of order 81

C81Cyclic group811C8181,1
C27⋊C3The semidirect product of C27 and C3 acting faithfully273C27:C381,6
C9⋊C9The semidirect product of C9 and C9 acting via C9/C3=C381C9:C981,4
C92Abelian group of type [9,9]81C9^281,2
C3×C27Abelian group of type [3,27]81C3xC2781,5

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⋊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
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
D44Dihedral group442+D4488,5
Dic22Dicyclic group; = C11Q8882-Dic2288,3
C11⋊C8The semidirect product of C11 and C8 acting via C8/C4=C2882C11:C888,1
C2×C44Abelian group of type [2,44]88C2xC4488,8
C4×D11Direct product of C4 and D11442C4xD1188,4
D4×C11Direct product of C11 and D4442D4xC1188,9
Q8×C11Direct product of C11 and Q8882Q8xC1188,10
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×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

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
D48Dihedral group482+D4896,6
Dic24Dicyclic group; = C31Q32962-Dic2496,8
C48⋊C22nd semidirect product of C48 and C2 acting faithfully482C48:C296,7
C3⋊C32The semidirect product of C3 and C32 acting via C32/C16=C2962C3:C3296,1
C12⋊C81st semidirect product of C12 and C8 acting via C8/C4=C296C12:C896,11
C24⋊C45th semidirect product of C24 and C4 acting via C4/C2=C296C24:C496,22
C241C41st semidirect product of C24 and C4 acting via C4/C2=C296C24:1C496,25
C8⋊Dic32nd semidirect product of C8 and Dic3 acting via Dic3/C6=C296C8:Dic396,24
D6.C8The non-split extension by D6 of C8 acting via C8/C4=C2482D6.C896,5
C12.C81st non-split extension by C12 of C8 acting via C8/C4=C2482C12.C896,19
C24.C41st non-split extension by C24 of C4 acting via C4/C2=C2482C24.C496,26
C4×C24Abelian group of type [4,24]96C4xC2496,46
C2×C48Abelian group of type [2,48]96C2xC4896,59
S3×C16Direct product of C16 and S3482S3xC1696,4
C3×D16Direct product of C3 and D16482C3xD1696,61
C3×SD32Direct product of C3 and SD32482C3xSD3296,62
C3×M5(2)Direct product of C3 and M5(2)482C3xM5(2)96,60
C3×Q32Direct product of C3 and Q32962C3xQ3296,63
C8×Dic3Direct product of C8 and Dic396C8xDic396,20
C3×C8.C4Direct product of C3 and C8.C4482C3xC8.C496,58
C4×C3⋊C8Direct product of C4 and C3⋊C896C4xC3:C896,9
C3×C4⋊C8Direct product of C3 and C4⋊C896C3xC4:C896,55
C2×C3⋊C16Direct product of C2 and C3⋊C1696C2xC3:C1696,18
C3×C8⋊C4Direct product of C3 and C8⋊C496C3xC8:C496,47
C3×C2.D8Direct product of C3 and C2.D896C3xC2.D896,57
C3×C4.Q8Direct product of C3 and C4.Q896C3xC4.Q896,56

Groups of order 97

C97Cyclic group971C9797,1

Groups of order 98

C98Cyclic group981C9898,2
D49Dihedral group492+D4998,1
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
C25⋊C4The semidirect product of C25 and C4 acting faithfully254+C25:C4100,3
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
C5×F5Direct product of C5 and F5204C5xF5100,9
D5×C10Direct product of C10 and D5202D5xC10100,14
C5×Dic5Direct product of C5 and Dic5202C5xDic5100,6

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
D52Dihedral group522+D52104,6
Dic26Dicyclic group; = C13Q81042-Dic26104,4
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
C4×D13Direct product of C4 and D13522C4xD13104,5
D4×C13Direct product of C13 and D4522D4xC13104,10
Q8×C13Direct product of C13 and Q81042Q8xC13104,11
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
C9⋊C12The semidirect product of C9 and C12 acting via C12/C2=C6366-C9:C12108,9
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
C6×D9Direct product of C6 and D9362C6xD9108,23
S3×C18Direct product of C18 and S3362S3xC18108,24
C3×Dic9Direct product of C3 and Dic9362C3xDic9108,6
C9×Dic3Direct product of C9 and Dic3362C9xDic3108,7
C4×3- 1+2Direct product of C4 and 3- 1+2363C4xES-(3,1)108,14
C22×3- 1+2Direct product of C22 and 3- 1+236C2^2xES-(3,1)108,31
C2×C9⋊C6Direct product of C2 and C9⋊C6; = Aut(D18) = Hol(C18)186+C2xC9:C6108,26

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
D56Dihedral group562+D56112,6
Dic28Dicyclic group; = C71Q161122-Dic28112,7
C8⋊D73rd semidirect product of C8 and D7 acting via D7/C7=C2562C8:D7112,4
C56⋊C22nd semidirect product of C56 and C2 acting faithfully562C56:C2112,5
C7⋊C16The semidirect product of C7 and C16 acting via C16/C8=C21122C7:C16112,1
C4⋊Dic7The semidirect product of C4 and Dic7 acting via Dic7/C14=C2112C4:Dic7112,12
C4.Dic7The non-split extension by C4 of Dic7 acting via Dic7/C14=C2562C4.Dic7112,9
C4×C28Abelian group of type [4,28]112C4xC28112,19
C2×C56Abelian group of type [2,56]112C2xC56112,22
C8×D7Direct product of C8 and D7562C8xD7112,3
C7×D8Direct product of C7 and D8562C7xD8112,24
C7×SD16Direct product of C7 and SD16562C7xSD16112,25
C7×M4(2)Direct product of C7 and M4(2)562C7xM4(2)112,23
C7×Q16Direct product of C7 and Q161122C7xQ16112,26
C4×Dic7Direct product of C4 and Dic7112C4xDic7112,10
C2×C7⋊C8Direct product of C2 and C7⋊C8112C2xC7:C8112,8
C7×C4⋊C4Direct product of C7 and C4⋊C4112C7xC4:C4112,21

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
D60Dihedral group602+D60120,28
Dic30Dicyclic group; = C152Q81202-Dic30120,26
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
C2×C60Abelian group of type [2,60]120C2xC60120,31
C6×F5Direct product of C6 and F5304C6xF5120,40
S3×C20Direct product of C20 and S3602S3xC20120,22
D5×C12Direct product of C12 and D5602D5xC12120,17
C3×D20Direct product of C3 and D20602C3xD20120,18
C5×D12Direct product of C5 and D12602C5xD12120,23
C4×D15Direct product of C4 and D15602C4xD15120,27
D4×C15Direct product of C15 and D4602D4xC15120,32
Q8×C15Direct product of C15 and Q81202Q8xC15120,33
C6×Dic5Direct product of C6 and Dic5120C6xDic5120,19
C5×Dic6Direct product of C5 and Dic61202C5xDic6120,21
C3×Dic10Direct product of C3 and Dic101202C3xDic10120,16
C10×Dic3Direct product of C10 and Dic3120C10xDic3120,24
C2×Dic15Direct product of C2 and Dic15120C2xDic15120,29
C2×C3⋊F5Direct product of C2 and C3⋊F5304C2xC3:F5120,41
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
5- 1+2Extraspecial group255ES-(5,1)125,4
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×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
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
D64Dihedral group642+D64128,161
Q128Generalised quaternion group; = C64.C2 = Dic321282-Q128128,163
SD128Semidihedral group; = C642C2 = QD128642SD128128,162
M7(2)Modular maximal-cyclic group; = C643C2642M7(2)128,160
C32⋊C42nd semidirect product of C32 and C4 acting faithfully324C32:C4128,130
C4⋊C32The semidirect product of C4 and C32 acting via C32/C16=C2128C4:C32128,153
C165C83rd semidirect product of C16 and C8 acting via C8/C4=C2128C16:5C8128,43
C8⋊C163rd semidirect product of C8 and C16 acting via C16/C8=C2128C8:C16128,44
C16⋊C82nd semidirect product of C16 and C8 acting via C8/C2=C4128C16:C8128,45
C82C162nd semidirect product of C8 and C16 acting via C16/C8=C2128C8:2C16128,99
C161C81st semidirect product of C16 and C8 acting via C8/C2=C4128C16:1C8128,100
C163C81st semidirect product of C16 and C8 acting via C8/C4=C2128C16:3C8128,103
C164C82nd semidirect product of C16 and C8 acting via C8/C4=C2128C16:4C8128,104
C325C43rd semidirect product of C32 and C4 acting via C4/C2=C2128C32:5C4128,129
C323C41st semidirect product of C32 and C4 acting via C4/C2=C2128C32:3C4128,155
C324C42nd semidirect product of C32 and C4 acting via C4/C2=C2128C32:4C4128,156
C16.C81st non-split extension by C16 of C8 acting via C8/C2=C4324C16.C8128,101
C16.3C81st non-split extension by C16 of C8 acting via C8/C4=C2322C16.3C8128,105
C8.C161st non-split extension by C8 of C16 acting via C16/C8=C2322C8.C16128,154
C8.Q162nd non-split extension by C8 of Q16 acting via Q16/C4=C22324C8.Q16128,158
C32.C41st non-split extension by C32 of C4 acting via C4/C2=C2642C32.C4128,157
C8.36D83rd central extension by C8 of D8128C8.36D8128,102
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

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×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
C5×3- 1+2Direct product of C5 and 3- 1+2453C5xES-(3,1)135,4

Groups of order 136

C136Cyclic group1361C136136,2
D68Dihedral group682+D68136,6
Dic34Dicyclic group; = C17Q81362-Dic34136,4
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
C4×D17Direct product of C4 and D17682C4xD17136,5
D4×C17Direct product of C17 and D4682D4xC17136,10
Q8×C17Direct product of C17 and Q81362Q8xC17136,11
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
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
D72Dihedral group722+D72144,8
Dic36Dicyclic group; = C91Q161442-Dic36144,4
C8⋊D93rd semidirect product of C8 and D9 acting via D9/C9=C2722C8:D9144,6
C72⋊C22nd semidirect product of C72 and C2 acting faithfully722C72:C2144,7
C9⋊C16The semidirect product of C9 and C16 acting via C16/C8=C21442C9:C16144,1
C4⋊Dic9The semidirect product of C4 and Dic9 acting via Dic9/C18=C2144C4:Dic9144,13
C4.Dic9The non-split extension by C4 of Dic9 acting via Dic9/C18=C2722C4.Dic9144,10
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
S3×C24Direct product of C24 and S3482S3xC24144,69
C3×D24Direct product of C3 and D24482C3xD24144,72
C3×Dic12Direct product of C3 and Dic12482C3xDic12144,73
Dic3×C12Direct product of C12 and Dic348Dic3xC12144,76
C8×D9Direct product of C8 and D9722C8xD9144,5
C9×D8Direct product of C9 and D8722C9xD8144,25
C9×SD16Direct product of C9 and SD16722C9xSD16144,26
C32×D8Direct product of C32 and D872C3^2xD8144,106
C9×M4(2)Direct product of C9 and M4(2)722C9xM4(2)144,24
C32×SD16Direct product of C32 and SD1672C3^2xSD16144,107
C32×M4(2)Direct product of C32 and M4(2)72C3^2xM4(2)144,105
C9×Q16Direct product of C9 and Q161442C9xQ16144,27
C4×Dic9Direct product of C4 and Dic9144C4xDic9144,11
C32×Q16Direct product of C32 and Q16144C3^2xQ16144,108
C3×C4.Dic3Direct product of C3 and C4.Dic3242C3xC4.Dic3144,75
C6×C3⋊C8Direct product of C6 and C3⋊C848C6xC3:C8144,74
C3×C3⋊C16Direct product of C3 and C3⋊C16482C3xC3:C16144,28
C3×C8⋊S3Direct product of C3 and C8⋊S3482C3xC8:S3144,70
C3×C24⋊C2Direct product of C3 and C24⋊C2482C3xC24:C2144,71
C3×C4⋊Dic3Direct product of C3 and C4⋊Dic348C3xC4:Dic3144,78
C2×C9⋊C8Direct product of C2 and C9⋊C8144C2xC9:C8144,9
C9×C4⋊C4Direct product of C9 and C4⋊C4144C9xC4:C4144,22
C32×C4⋊C4Direct product of C32 and C4⋊C4144C3^2xC4:C4144,103

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
C49⋊C3The semidirect product of C49 and C3 acting faithfully493C49:C3147,1
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
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

Groups of order 151

C151Cyclic group1511C151151,1

Groups of order 152

C152Cyclic group1521C152152,2
D76Dihedral group762+D76152,5
Dic38Dicyclic group; = C19Q81522-Dic38152,3
C19⋊C8The semidirect product of C19 and C8 acting via C8/C4=C21522C19:C8152,1
C2×C76Abelian group of type [2,76]152C2xC76152,8
C4×D19Direct product of C4 and D19762C4xD19152,4
D4×C19Direct product of C19 and D4762D4xC19152,9
Q8×C19Direct product of C19 and Q81522Q8xC19152,10
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
C26.C6The non-split extension by C26 of C6 acting faithfully526-C26.C6156,1
C2×C78Abelian group of type [2,78]156C2xC78156,18
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
D80Dihedral group802+D80160,6
Dic40Dicyclic group; = C51Q321602-Dic40160,8
C8⋊F53rd semidirect product of C8 and F5 acting via F5/D5=C2404C8:F5160,67
C40⋊C42nd semidirect product of C40 and C4 acting faithfully404C40:C4160,68
D5⋊C16The semidirect product of D5 and C16 acting via C16/C8=C2804D5:C16160,64
C80⋊C25th semidirect product of C80 and C2 acting faithfully802C80:C2160,5
C16⋊D52nd semidirect product of C16 and D5 acting via D5/C5=C2802C16:D5160,7
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
C203C81st semidirect product of C20 and C8 acting via C8/C4=C2160C20:3C8160,11
C408C44th semidirect product of C40 and C4 acting via C4/C2=C2160C40:8C4160,22
C406C42nd semidirect product of C40 and C4 acting via C4/C2=C2160C40:6C4160,24
C405C41st semidirect product of C40 and C4 acting via C4/C2=C2160C40:5C4160,25
C20⋊C81st semidirect product of C20 and C8 acting via C8/C2=C4160C20:C8160,76
D5.D8The non-split extension by D5 of D8 acting via D8/C8=C2404D5.D8160,69
C8.F53rd non-split extension by C8 of F5 acting via F5/D5=C2804C8.F5160,65
C20.4C81st non-split extension by C20 of C8 acting via C8/C4=C2802C20.4C8160,19
C40.6C41st non-split extension by C40 of C4 acting via C4/C2=C2802C40.6C4160,26
C40.C42nd non-split extension by C40 of C4 acting faithfully804C40.C4160,70
C20.C81st non-split extension by C20 of C8 acting via C8/C2=C4804C20.C8160,73
D10.Q82nd non-split extension by D10 of Q8 acting via Q8/C4=C2804D10.Q8160,71
C4×C40Abelian group of type [4,40]160C4xC40160,46
C2×C80Abelian group of type [2,80]160C2xC80160,59
C8×F5Direct product of C8 and F5404C8xF5160,66
D5×C16Direct product of C16 and D5802D5xC16160,4
C5×D16Direct product of C5 and D16802C5xD16160,61
C5×SD32Direct product of C5 and SD32802C5xSD32160,62
C5×M5(2)Direct product of C5 and M5(2)802C5xM5(2)160,60
C5×Q32Direct product of C5 and Q321602C5xQ32160,63
C8×Dic5Direct product of C8 and Dic5160C8xDic5160,20
C5×C8.C4Direct product of C5 and C8.C4802C5xC8.C4160,58
C4×C5⋊C8Direct product of C4 and C5⋊C8160C4xC5:C8160,75
C5×C4⋊C8Direct product of C5 and C4⋊C8160C5xC4:C8160,55
C2×C5⋊C16Direct product of C2 and C5⋊C16160C2xC5:C16160,72
C5×C8⋊C4Direct product of C5 and C8⋊C4160C5xC8:C4160,47
C4×C52C8Direct product of C4 and C52C8160C4xC5:2C8160,9
C2×C52C16Direct product of C2 and C52C16160C2xC5:2C16160,18
C5×C2.D8Direct product of C5 and C2.D8160C5xC2.D8160,57
C5×C4.Q8Direct product of C5 and C4.Q8160C5xC4.Q8160,56

Groups of order 161

C161Cyclic group1611C161161,1

Groups of order 162

C162Cyclic group1621C162162,2
D81Dihedral group812+D81162,1
C9⋊C18The semidirect product of C9 and C18 acting via C18/C3=C6186C9:C18162,6
C27⋊C6The semidirect product of C27 and C6 acting faithfully276+C27:C6162,9
C9×C18Abelian group of type [9,18]162C9xC18162,23
C3×C54Abelian group of type [3,54]162C3xC54162,26
C9×D9Direct product of C9 and D9182C9xD9162,3
S3×C27Direct product of C27 and S3542S3xC27162,8
C3×D27Direct product of C3 and D27542C3xD27162,7
C2×C27⋊C3Direct product of C2 and C27⋊C3543C2xC27:C3162,27
C2×C9⋊C9Direct product of C2 and C9⋊C9162C2xC9:C9162,25

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
D84Dihedral group842+D84168,36
Dic42Dicyclic group; = C212Q81682-Dic42168,34
C4⋊F7The semidirect product of C4 and F7 acting via F7/C7⋊C3=C2286+C4:F7168,9
C7⋊C24The semidirect product of C7 and C24 acting via C24/C4=C6566C7:C24168,1
C21⋊C81st semidirect product of C21 and C8 acting via C8/C4=C21682C21:C8168,5
C4.F7The non-split extension by C4 of F7 acting via F7/C7⋊C3=C2566-C4.F7168,7
C2×C84Abelian group of type [2,84]168C2xC84168,39
C4×F7Direct product of C4 and F7286C4xF7168,8
S3×C28Direct product of C28 and S3842S3xC28168,30
C12×D7Direct product of C12 and D7842C12xD7168,25
C3×D28Direct product of C3 and D28842C3xD28168,26
C7×D12Direct product of C7 and D12842C7xD12168,31
C4×D21Direct product of C4 and D21842C4xD21168,35
D4×C21Direct product of C21 and D4842D4xC21168,40
Q8×C21Direct product of C21 and Q81682Q8xC21168,41
C6×Dic7Direct product of C6 and Dic7168C6xDic7168,27
C7×Dic6Direct product of C7 and Dic61682C7xDic6168,29
C3×Dic14Direct product of C3 and Dic141682C3xDic14168,24
Dic3×C14Direct product of C14 and Dic3168Dic3xC14168,32
C2×Dic21Direct product of C2 and Dic21168C2xDic21168,37
D4×C7⋊C3Direct product of D4 and C7⋊C3286D4xC7:C3168,20
C8×C7⋊C3Direct product of C8 and C7⋊C3563C8xC7:C3168,2
Q8×C7⋊C3Direct product of Q8 and C7⋊C3566Q8xC7:C3168,21
C2×C7⋊C12Direct product of C2 and C7⋊C1256C2xC7:C12168,10
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
D88Dihedral group882+D88176,6
Dic44Dicyclic group; = C111Q161762-Dic44176,7
C88⋊C24th semidirect product of C88 and C2 acting faithfully882C88:C2176,4
C8⋊D112nd semidirect product of C8 and D11 acting via D11/C11=C2882C8:D11176,5
C11⋊C16The semidirect product of C11 and C16 acting via C16/C8=C21762C11:C16176,1
C44⋊C41st semidirect product of C44 and C4 acting via C4/C2=C2176C44:C4176,12
C44.C41st non-split extension by C44 of C4 acting via C4/C2=C2882C44.C4176,9
C4×C44Abelian group of type [4,44]176C4xC44176,19
C2×C88Abelian group of type [2,88]176C2xC88176,22
C8×D11Direct product of C8 and D11882C8xD11176,3
C11×D8Direct product of C11 and D8882C11xD8176,24
C11×SD16Direct product of C11 and SD16882C11xSD16176,25
C11×M4(2)Direct product of C11 and M4(2)882C11xM4(2)176,23
C11×Q16Direct product of C11 and Q161762C11xQ16176,26
C4×Dic11Direct product of C4 and Dic11176C4xDic11176,10
C2×C11⋊C8Direct product of C2 and C11⋊C8176C2xC11:C8176,8
C11×C4⋊C4Direct product of C11 and C4⋊C4176C11xC4:C4176,21

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
C9⋊F5The semidirect product of C9 and F5 acting via F5/D5=C2454C9:F5180,6
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
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
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
C3×C3⋊F5Direct product of C3 and C3⋊F5304C3xC3:F5180,21
D5×C3×C6Direct product of C3×C6 and D590D5xC3xC6180,32

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
D92Dihedral group922+D92184,5
Dic46Dicyclic group; = C23Q81842-Dic46184,3
C23⋊C8The semidirect product of C23 and C8 acting via C8/C4=C21842C23:C8184,1
C2×C92Abelian group of type [2,92]184C2xC92184,8
C4×D23Direct product of C4 and D23922C4xD23184,4
D4×C23Direct product of C23 and D4922D4xC23184,9
Q8×C23Direct product of C23 and Q81842Q8xC23184,10
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
C63⋊C32nd semidirect product of C63 and C3 acting faithfully633C63:C3189,4
C633C33rd semidirect product of C63 and C3 acting faithfully633C63:3C3189,5
C7⋊C27The semidirect product of C7 and C27 acting via C27/C9=C31893C7:C27189,1
C3×C63Abelian group of type [3,63]189C3xC63189,9
C7×3- 1+2Direct product of C7 and 3- 1+2633C7xES-(3,1)189,11
C9×C7⋊C3Direct product of C9 and C7⋊C3633C9xC7:C3189,3
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
D96Dihedral group962+D96192,7
Dic48Dicyclic group; = C31Q641922-Dic48192,9
C48⋊C42nd semidirect product of C48 and C4 acting faithfully484C48:C4192,71
C96⋊C26th semidirect product of C96 and C2 acting faithfully962C96:C2192,6
C32⋊S32nd semidirect product of C32 and S3 acting via S3/C3=C2962C32:S3192,8
C3⋊M6(2)The semidirect product of C3 and M6(2) acting via M6(2)/C2×C16=C2962C3:M6(2)192,58
C3⋊C64The semidirect product of C3 and C64 acting via C64/C32=C21922C3:C64192,1
C24⋊C85th semidirect product of C24 and C8 acting via C8/C4=C2192C24:C8192,14
C242C82nd semidirect product of C24 and C8 acting via C8/C4=C2192C24:2C8192,16
C241C81st semidirect product of C24 and C8 acting via C8/C4=C2192C24:1C8192,17
C485C41st semidirect product of C48 and C4 acting via C4/C2=C2192C48:5C4192,63
C486C42nd semidirect product of C48 and C4 acting via C4/C2=C2192C48:6C4192,64
C12⋊C161st semidirect product of C12 and C16 acting via C16/C8=C2192C12:C16192,21
C4810C46th semidirect product of C48 and C4 acting via C4/C2=C2192C48:10C4192,61
C24.1C81st non-split extension by C24 of C8 acting via C8/C4=C2482C24.1C8192,22
C24.Q81st non-split extension by C24 of Q8 acting via Q8/C2=C22484C24.Q8192,72
C48.C41st non-split extension by C48 of C4 acting via C4/C2=C2962C48.C4192,65
C24.C84th non-split extension by C24 of C8 acting via C8/C4=C2192C24.C8192,20
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
S3×C32Direct product of C32 and S3962S3xC32192,5
C3×D32Direct product of C3 and D32962C3xD32192,177
C3×SD64Direct product of C3 and SD64962C3xSD64192,178
C3×M6(2)Direct product of C3 and M6(2)962C3xM6(2)192,176
C3×Q64Direct product of C3 and Q641922C3xQ64192,179
Dic3×C16Direct product of C16 and Dic3192Dic3xC16192,59
C3×C16⋊C4Direct product of C3 and C16⋊C4484C3xC16:C4192,153
C3×C8.Q8Direct product of C3 and C8.Q8484C3xC8.Q8192,171
C3×C8.C8Direct product of C3 and C8.C8482C3xC8.C8192,170
C3×C8.4Q8Direct product of C3 and C8.4Q8962C3xC8.4Q8192,174
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
C3×C4⋊C16Direct product of C3 and C4⋊C16192C3xC4:C16192,169
C3×C8⋊C8Direct product of C3 and C8⋊C8192C3xC8:C8192,128
C3×C82C8Direct product of C3 and C82C8192C3xC8:2C8192,140
C3×C81C8Direct product of C3 and C81C8192C3xC8:1C8192,141
C3×C165C4Direct product of C3 and C165C4192C3xC16:5C4192,152
C3×C163C4Direct product of C3 and C163C4192C3xC16:3C4192,172
C3×C164C4Direct product of C3 and C164C4192C3xC16:4C4192,173

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
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
D7×C14Direct product of C14 and D7282D7xC14196,10
C7×Dic7Direct product of C7 and Dic7282C7xDic7196,5

Groups of order 197

C197Cyclic group1971C197197,1

Groups of order 198

C198Cyclic group1981C198198,4
D99Dihedral group992+D99198,3
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

Groups of order 199

C199Cyclic group1991C199199,1

Groups of order 200

C200Cyclic group2001C200200,2
D100Dihedral group1002+D100200,6
Dic50Dicyclic group; = C25Q82002-Dic50200,4
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
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
D5×C20Direct product of C20 and D5402D5xC20200,28
C5×D20Direct product of C5 and D20402C5xD20200,29
C10×F5Direct product of C10 and F5404C10xF5200,45
C5×Dic10Direct product of C5 and Dic10402C5xDic10200,27
C10×Dic5Direct product of C10 and Dic540C10xDic5200,30
C4×D25Direct product of C4 and D251002C4xD25200,5
D4×C25Direct product of C25 and D41002D4xC25200,10
D4×C52Direct product of C52 and D4100D4xC5^2200,38
Q8×C25Direct product of C25 and Q82002Q8xC25200,11
Q8×C52Direct product of C52 and Q8200Q8xC5^2200,39
C2×Dic25Direct product of C2 and Dic25200C2xDic25200,7
C5×C5⋊C8Direct product of C5 and C5⋊C8404C5xC5:C8200,18
C5×C52C8Direct product of C5 and C52C8402C5xC5:2C8200,15
C2×C25⋊C4Direct product of C2 and C25⋊C4504+C2xC25:C4200,12

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×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
D104Dihedral group1042+D104208,7
Dic52Dicyclic group; = C131Q162082-Dic52208,8
C52⋊C41st semidirect product of C52 and C4 acting faithfully524C52:C4208,31
D13⋊C8The semidirect product of D13 and C8 acting via C8/C4=C21044D13:C8208,28
C8⋊D133rd semidirect product of C8 and D13 acting via D13/C13=C21042C8:D13208,5
C104⋊C22nd semidirect product of C104 and C2 acting faithfully1042C104:C2208,6
C13⋊C16The semidirect product of C13 and C16 acting via C16/C4=C42084C13:C16208,3
C523C41st semidirect product of C52 and C4 acting via C4/C2=C2208C52:3C4208,13
C132C16The semidirect product of C13 and C16 acting via C16/C8=C22082C13:2C16208,1
C52.4C41st non-split extension by C52 of C4 acting via C4/C2=C21042C52.4C4208,10
C52.C41st non-split extension by C52 of C4 acting faithfully1044C52.C4208,29
C4×C52Abelian group of type [4,52]208C4xC52208,20
C2×C104Abelian group of type [2,104]208C2xC104208,23
C8×D13Direct product of C8 and D131042C8xD13208,4
C13×D8Direct product of C13 and D81042C13xD8208,25
C13×SD16Direct product of C13 and SD161042C13xSD16208,26
C13×M4(2)Direct product of C13 and M4(2)1042C13xM4(2)208,24
C13×Q16Direct product of C13 and Q162082C13xQ16208,27
C4×Dic13Direct product of C4 and Dic13208C4xDic13208,11
C4×C13⋊C4Direct product of C4 and C13⋊C4524C4xC13:C4208,30
C2×C13⋊C8Direct product of C2 and C13⋊C8208C2xC13:C8208,32
C13×C4⋊C4Direct product of C13 and C4⋊C4208C13xC4:C4208,22
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
D108Dihedral group1082+D108216,6
Dic54Dicyclic group; = C27Q82162-Dic54216,4
D36⋊C3The semidirect product of D36 and C3 acting faithfully366+D36:C3216,54
C9⋊C24The semidirect product of C9 and C24 acting via C24/C4=C6726C9:C24216,15
C27⋊C8The semidirect product of C27 and C8 acting via C8/C4=C22162C27:C8216,1
C36.C61st non-split extension by C36 of C6 acting faithfully726-C36.C6216,52
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
D4×3- 1+2Direct product of D4 and 3- 1+2366D4xES-(3,1)216,78
S3×C36Direct product of C36 and S3722S3xC36216,47
C12×D9Direct product of C12 and D9722C12xD9216,45
C3×D36Direct product of C3 and D36722C3xD36216,46
C9×D12Direct product of C9 and D12722C9xD12216,48
C9×Dic6Direct product of C9 and Dic6722C9xDic6216,44
C6×Dic9Direct product of C6 and Dic972C6xDic9216,55
C3×Dic18Direct product of C3 and Dic18722C3xDic18216,43
Dic3×C18Direct product of C18 and Dic372Dic3xC18216,56
C8×3- 1+2Direct product of C8 and 3- 1+2723C8xES-(3,1)216,20
Q8×3- 1+2Direct product of Q8 and 3- 1+2726Q8xES-(3,1)216,81
C4×D27Direct product of C4 and D271082C4xD27216,5
D4×C27Direct product of C27 and D41082D4xC27216,10
Q8×C27Direct product of C27 and Q82162Q8xC27216,11
C2×Dic27Direct product of C2 and Dic27216C2xDic27216,7
C4×C9⋊C6Direct product of C4 and C9⋊C6366C4xC9:C6216,53
C3×C9⋊C8Direct product of C3 and C9⋊C8722C3xC9:C8216,12
C9×C3⋊C8Direct product of C9 and C3⋊C8722C9xC3:C8216,13
C2×C9⋊C12Direct product of C2 and C9⋊C1272C2xC9:C12216,61
C2×C4×3- 1+2Direct product of C2×C4 and 3- 1+272C2xC4xES-(3,1)216,75
D4×C3×C9Direct product of C3×C9 and D4108D4xC3xC9216,76
Q8×C3×C9Direct product of C3×C9 and Q8216Q8xC3xC9216,79

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
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
D112Dihedral group1122+D112224,5
Dic56Dicyclic group; = C71Q322242-Dic56224,7
C16⋊D73rd semidirect product of C16 and D7 acting via D7/C7=C21122C16:D7224,4
C112⋊C22nd semidirect product of C112 and C2 acting faithfully1122C112:C2224,6
C7⋊C32The semidirect product of C7 and C32 acting via C32/C16=C22242C7:C32224,1
C28⋊C81st semidirect product of C28 and C8 acting via C8/C4=C2224C28:C8224,10
C56⋊C44th semidirect product of C56 and C4 acting via C4/C2=C2224C56:C4224,21
C561C41st semidirect product of C56 and C4 acting via C4/C2=C2224C56:1C4224,24
C8⋊Dic72nd semidirect product of C8 and Dic7 acting via Dic7/C14=C2224C8:Dic7224,23
C28.C81st non-split extension by C28 of C8 acting via C8/C4=C21122C28.C8224,18
C56.C41st non-split extension by C56 of C4 acting via C4/C2=C21122C56.C4224,25
C4×C56Abelian group of type [4,56]224C4xC56224,45
C2×C112Abelian group of type [2,112]224C2xC112224,58
D7×C16Direct product of C16 and D71122D7xC16224,3
C7×D16Direct product of C7 and D161122C7xD16224,60
C7×SD32Direct product of C7 and SD321122C7xSD32224,61
C7×M5(2)Direct product of C7 and M5(2)1122C7xM5(2)224,59
C7×Q32Direct product of C7 and Q322242C7xQ32224,62
C8×Dic7Direct product of C8 and Dic7224C8xDic7224,19
C7×C8.C4Direct product of C7 and C8.C41122C7xC8.C4224,57
C4×C7⋊C8Direct product of C4 and C7⋊C8224C4xC7:C8224,8
C7×C4⋊C8Direct product of C7 and C4⋊C8224C7xC4:C8224,54
C2×C7⋊C16Direct product of C2 and C7⋊C16224C2xC7:C16224,17
C7×C8⋊C4Direct product of C7 and C8⋊C4224C7xC8:C4224,46
C7×C2.D8Direct product of C7 and C2.D8224C7xC2.D8224,56
C7×C4.Q8Direct product of C7 and C4.Q8224C7xC4.Q8224,55

Groups of order 225

C225Cyclic group2251C225225,1
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

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⋊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×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
D116Dihedral group1162+D116232,6
Dic58Dicyclic group; = C29Q82322-Dic58232,4
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
C4×D29Direct product of C4 and D291162C4xD29232,5
D4×C29Direct product of C29 and D41162D4xC29232,10
Q8×C29Direct product of C29 and Q82322Q8xC29232,11
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×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
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
D120Dihedral group1202+D120240,68
Dic60Dicyclic group; = C154Q162402-Dic60240,69
C60⋊C41st semidirect product of C60 and C4 acting faithfully604C60:C4240,121
C40⋊S34th semidirect product of C40 and S3 acting via S3/C3=C21202C40:S3240,66
C24⋊D52nd semidirect product of C24 and D5 acting via D5/C5=C21202C24:D5240,67
C605C41st semidirect product of C60 and C4 acting via C4/C2=C2240C60:5C4240,74
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
C60.7C41st non-split extension by C60 of C4 acting via C4/C2=C21202C60.7C4240,71
C60.C43rd non-split extension by C60 of C4 acting faithfully1204C60.C4240,118
C12.F51st non-split extension by C12 of F5 acting via F5/D5=C21204C12.F5240,119
C4×C60Abelian group of type [4,60]240C4xC60240,81
C2×C120Abelian group of type [2,120]240C2xC120240,84
C12×F5Direct product of C12 and F5604C12xF5240,113
S3×C40Direct product of C40 and S31202S3xC40240,49
D5×C24Direct product of C24 and D51202D5xC24240,33
C3×D40Direct product of C3 and D401202C3xD40240,36
C5×D24Direct product of C5 and D241202C5xD24240,52
C8×D15Direct product of C8 and D151202C8xD15240,65
C15×D8Direct product of C15 and D81202C15xD8240,86
C15×SD16Direct product of C15 and SD161202C15xSD16240,87
C15×M4(2)Direct product of C15 and M4(2)1202C15xM4(2)240,85
C15×Q16Direct product of C15 and Q162402C15xQ16240,88
C3×Dic20Direct product of C3 and Dic202402C3xDic20240,37
C12×Dic5Direct product of C12 and Dic5240C12xDic5240,40
C5×Dic12Direct product of C5 and Dic122402C5xDic12240,53
Dic3×C20Direct product of C20 and Dic3240Dic3xC20240,56
C4×Dic15Direct product of C4 and Dic15240C4xDic15240,72
C4×C3⋊F5Direct product of C4 and C3⋊F5604C4xC3:F5240,120
C3×C4⋊F5Direct product of C3 and C4⋊F5604C3xC4:F5240,114
C5×C8⋊S3Direct product of C5 and C8⋊S31202C5xC8:S3240,50
C3×D5⋊C8Direct product of C3 and D5⋊C81204C3xD5:C8240,111
C3×C8⋊D5Direct product of C3 and C8⋊D51202C3xC8:D5240,34
C3×C40⋊C2Direct product of C3 and C40⋊C21202C3xC40:C2240,35
C5×C24⋊C2Direct product of C5 and C24⋊C21202C5xC24:C2240,51
C3×C4.F5Direct product of C3 and C4.F51204C3xC4.F5240,112
C3×C4.Dic5Direct product of C3 and C4.Dic51202C3xC4.Dic5240,39
C5×C4.Dic3Direct product of C5 and C4.Dic31202C5xC4.Dic3240,55
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
C15×C4⋊C4Direct product of C15 and C4⋊C4240C15xC4:C4240,83
C6×C52C8Direct product of C6 and C52C8240C6xC5:2C8240,38
C2×C15⋊C8Direct product of C2 and C15⋊C8240C2xC15:C8240,122
C3×C52C16Direct product of C3 and C52C162402C3xC5:2C16240,2
C2×C153C8Direct product of C2 and C153C8240C2xC15:3C8240,70
C3×C4⋊Dic5Direct product of C3 and C4⋊Dic5240C3xC4:Dic5240,42
C5×C4⋊Dic3Direct product of C5 and C4⋊Dic3240C5xC4:Dic3240,58

Groups of order 241

C241Cyclic group2411C241241,1

Groups of order 242

C242Cyclic group2421C242242,2
D121Dihedral group1212+D121242,1
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
C27⋊C9The semidirect product of C27 and C9 acting faithfully279C27:C9243,22
C81⋊C3The semidirect product of C81 and C3 acting faithfully813C81:C3243,24
C9⋊C27The semidirect product of C9 and C27 acting via C27/C9=C3243C9:C27243,21
C272C9The semidirect product of C27 and C9 acting via C9/C3=C3243C27:2C9243,11
C9×C27Abelian group of type [9,27]243C9xC27243,10
C3×C81Abelian group of type [3,81]243C3xC81243,23

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
D124Dihedral group1242+D124248,5
Dic62Dicyclic group; = C31Q82482-Dic62248,3
C31⋊C8The semidirect product of C31 and C8 acting via C8/C4=C22482C31:C8248,1
C2×C124Abelian group of type [2,124]248C2xC124248,8
C4×D31Direct product of C4 and D311242C4xD31248,4
D4×C31Direct product of C31 and D41242D4xC31248,9
Q8×C31Direct product of C31 and Q82482Q8xC31248,10
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⋊C10The semidirect product of C25 and C10 acting faithfully2510+C25:C10250,6
C5×C50Abelian group of type [5,50]250C5xC50250,9
C5×D25Direct product of C5 and D25502C5xD25250,3
D5×C25Direct product of C25 and D5502D5xC25250,4
C2×5- 1+2Direct product of C2 and 5- 1+2505C2xES-(5,1)250,11

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
C7⋊C36The semidirect product of C7 and C36 acting via C36/C6=C62526C7:C36252,1
C6.F7The non-split extension by C6 of F7 acting via F7/C7⋊C3=C2846-C6.F7252,18
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
C6×F7Direct product of C6 and F7426C6xF7252,28
S3×C42Direct product of C42 and S3842S3xC42252,42
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
C2×C3⋊F7Direct product of C2 and C3⋊F7426+C2xC3:F7252,30
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
C4×C7⋊C9Direct product of C4 and C7⋊C92523C4xC7:C9252,2
C22×C7⋊C9Direct product of C22 and C7⋊C9252C2^2xC7:C9252,9
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
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
D132Dihedral group1322+D132264,25
Dic66Dicyclic group; = C332Q82642-Dic66264,23
C33⋊C81st semidirect product of C33 and C8 acting via C8/C4=C22642C33:C8264,3
C2×C132Abelian group of type [2,132]264C2xC132264,28
S3×C44Direct product of C44 and S31322S3xC44264,19
C3×D44Direct product of C3 and D441322C3xD44264,15
C4×D33Direct product of C4 and D331322C4xD33264,24
D4×C33Direct product of C33 and D41322D4xC33264,29
C12×D11Direct product of C12 and D111322C12xD11264,14
C11×D12Direct product of C11 and D121322C11xD12264,20
Q8×C33Direct product of C33 and Q82642Q8xC33264,30
C3×Dic22Direct product of C3 and Dic222642C3xDic22264,13
C6×Dic11Direct product of C6 and Dic11264C6xDic11264,16
C11×Dic6Direct product of C11 and Dic62642C11xDic6264,18
Dic3×C22Direct product of C22 and Dic3264Dic3xC22264,21
C2×Dic33Direct product of C2 and Dic33264C2xDic33264,26
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
D45⋊C3The semidirect product of D45 and C3 acting faithfully456+D45:C3270,15
C3×C90Abelian group of type [3,90]270C3xC90270,20
D5×3- 1+2Direct product of D5 and 3- 1+2456D5xES-(3,1)270,7
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
C10×3- 1+2Direct product of C10 and 3- 1+2903C10xES-(3,1)270,22
C5×D27Direct product of C5 and D271352C5xD27270,1
D5×C27Direct product of C27 and D51352D5xC27270,2
C5×C9⋊C6Direct product of C5 and C9⋊C6456C5xC9:C6270,11
D5×C3×C9Direct product of C3×C9 and D5135D5xC3xC9270,5

Groups of order 271

C271Cyclic group2711C271271,1

Groups of order 272

C272Cyclic group2721C272272,2
D136Dihedral group1362+D136272,7
F17Frobenius group; = C17C16 = AGL1(𝔽17) = Aut(D17) = Hol(C17)1716+F17272,50
Dic68Dicyclic group; = C171Q162722-Dic68272,8
C68⋊C41st semidirect product of C68 and C4 acting faithfully684C68:C4272,32
C8⋊D173rd semidirect product of C8 and D17 acting via D17/C17=C21362C8:D17272,5
C136⋊C22nd semidirect product of C136 and C2 acting faithfully1362C136:C2272,6
C683C41st semidirect product of C68 and C4 acting via C4/C2=C2272C68:3C4272,13
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
C68.4C41st non-split extension by C68 of C4 acting via C4/C2=C21362C68.4C4272,10
C68.C43rd non-split extension by C68 of C4 acting faithfully1364C68.C4272,29
D34.4C43rd non-split extension by D34 of C4 acting via C4/C2=C21364D34.4C4272,30
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
C8×D17Direct product of C8 and D171362C8xD17272,4
D8×C17Direct product of C17 and D81362D8xC17272,25
SD16×C17Direct product of C17 and SD161362SD16xC17272,26
M4(2)×C17Direct product of C17 and M4(2)1362M4(2)xC17272,24
Q16×C17Direct product of C17 and Q162722Q16xC17272,27
C4×Dic17Direct product of C4 and Dic17272C4xDic17272,11
C2×C17⋊C8Direct product of C2 and C17⋊C8348+C2xC17:C8272,51
C4×C17⋊C4Direct product of C4 and C17⋊C4684C4xC17:C4272,31
C4⋊C4×C17Direct product of C17 and C4⋊C4272C4:C4xC17272,22
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×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
D140Dihedral group1402+D140280,26
Dic70Dicyclic group; = C352Q82802-Dic70280,24
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
C2×C140Abelian group of type [2,140]280C2xC140280,29
C14×F5Direct product of C14 and F5704C14xF5280,34
D7×C20Direct product of C20 and D71402D7xC20280,15
C5×D28Direct product of C5 and D281402C5xD28280,16
D5×C28Direct product of C28 and D51402D5xC28280,20
C7×D20Direct product of C7 and D201402C7xD20280,21
C4×D35Direct product of C4 and D351402C4xD35280,25
D4×C35Direct product of C35 and D41402D4xC35280,30
Q8×C35Direct product of C35 and Q82802Q8xC35280,31
C5×Dic14Direct product of C5 and Dic142802C5xDic14280,14
C10×Dic7Direct product of C10 and Dic7280C10xDic7280,17
C7×Dic10Direct product of C7 and Dic102802C7xDic10280,19
C14×Dic5Direct product of C14 and Dic5280C14xDic5280,22
C2×Dic35Direct product of C2 and Dic35280C2xDic35280,27
C2×C7⋊F5Direct product of C2 and C7⋊F5704C2xC7:F5280,35
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
D144Dihedral group1442+D144288,6
Dic72Dicyclic group; = C91Q322882-Dic72288,8
C16⋊D93rd semidirect product of C16 and D9 acting via D9/C9=C21442C16:D9288,5
C144⋊C22nd semidirect product of C144 and C2 acting faithfully1442C144:C2288,7
C9⋊C32The semidirect product of C9 and C32 acting via C32/C16=C22882C9:C32288,1
C36⋊C81st semidirect product of C36 and C8 acting via C8/C4=C2288C36:C8288,11
C72⋊C44th semidirect product of C72 and C4 acting via C4/C2=C2288C72:C4288,23
C721C41st semidirect product of C72 and C4 acting via C4/C2=C2288C72:1C4288,26
C8⋊Dic92nd semidirect product of C8 and Dic9 acting via Dic9/C18=C2288C8:Dic9288,25
C36.C81st non-split extension by C36 of C8 acting via C8/C4=C21442C36.C8288,19
C72.C41st non-split extension by C72 of C4 acting via C4/C2=C21442C72.C4288,20
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
S3×C48Direct product of C48 and S3962S3xC48288,231
C3×D48Direct product of C3 and D48962C3xD48288,233
C3×Dic24Direct product of C3 and Dic24962C3xDic24288,235
Dic3×C24Direct product of C24 and Dic396Dic3xC24288,247
C16×D9Direct product of C16 and D91442C16xD9288,4
C9×D16Direct product of C9 and D161442C9xD16288,61
C9×SD32Direct product of C9 and SD321442C9xSD32288,62
C32×D16Direct product of C32 and D16144C3^2xD16288,329
C9×M5(2)Direct product of C9 and M5(2)1442C9xM5(2)288,60
C32×SD32Direct product of C32 and SD32144C3^2xSD32288,330
C32×M5(2)Direct product of C32 and M5(2)144C3^2xM5(2)288,328
C9×Q32Direct product of C9 and Q322882C9xQ32288,63
C8×Dic9Direct product of C8 and Dic9288C8xDic9288,21
C32×Q32Direct product of C32 and Q32288C3^2xQ32288,331
C3×C12.C8Direct product of C3 and C12.C8482C3xC12.C8288,246
C3×C24.C4Direct product of C3 and C24.C4482C3xC24.C4288,253
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
C3×C48⋊C2Direct product of C3 and C48⋊C2962C3xC48:C2288,234
C3×C12⋊C8Direct product of C3 and C12⋊C896C3xC12:C8288,238
C3×C24⋊C4Direct product of C3 and C24⋊C496C3xC24:C4288,249
C3×D6.C8Direct product of C3 and D6.C8962C3xD6.C8288,232
C3×C241C4Direct product of C3 and C241C496C3xC24:1C4288,252
C3×C8⋊Dic3Direct product of C3 and C8⋊Dic396C3xC8:Dic3288,251
C9×C8.C4Direct product of C9 and C8.C41442C9xC8.C4288,58
C32×C8.C4Direct product of C32 and C8.C4144C3^2xC8.C4288,326
C4×C9⋊C8Direct product of C4 and C9⋊C8288C4xC9:C8288,9
C9×C4⋊C8Direct product of C9 and C4⋊C8288C9xC4:C8288,55
C2×C9⋊C16Direct product of C2 and C9⋊C16288C2xC9:C16288,18
C9×C8⋊C4Direct product of C9 and C8⋊C4288C9xC8:C4288,47
C32×C4⋊C8Direct product of C32 and C4⋊C8288C3^2xC4:C8288,323
C9×C2.D8Direct product of C9 and C2.D8288C9xC2.D8288,57
C9×C4.Q8Direct product of C9 and C4.Q8288C9xC4.Q8288,56
C32×C8⋊C4Direct product of C32 and C8⋊C4288C3^2xC8:C4288,315
C32×C2.D8Direct product of C32 and C2.D8288C3^2xC2.D8288,325
C32×C4.Q8Direct product of C32 and C4.Q8288C3^2xC4.Q8288,324

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
C49⋊C6The semidirect product of C49 and C6 acting faithfully496+C49:C6294,1
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
C14×C7⋊C3Direct product of C14 and C7⋊C3423C14xC7:C3294,15
C2×C49⋊C3Direct product of C2 and C49⋊C3983C2xC49:C3294,2

Groups of order 295

C295Cyclic group2951C295295,1

Groups of order 296

C296Cyclic group2961C296296,2
D148Dihedral group1482+D148296,6
Dic74Dicyclic group; = C37Q82962-Dic74296,4
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
C4×D37Direct product of C4 and D371482C4xD37296,5
D4×C37Direct product of C37 and D41482D4xC37296,10
Q8×C37Direct product of C37 and Q82962Q8xC37296,11
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
C11×3- 1+2Direct product of C11 and 3- 1+2993C11xES-(3,1)297,4

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
C75⋊C41st semidirect product of C75 and C4 acting faithfully754C75:C4300,6
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
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×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
C5×C3⋊F5Direct product of C5 and C3⋊F5604C5xC3:F5300,32
C3×C25⋊C4Direct product of C3 and C25⋊C4754C3xC25:C4300,5
S3×C5×C10Direct product of C5×C10 and S3150S3xC5xC10300,46

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
D152Dihedral group1522+D152304,6
Dic76Dicyclic group; = C191Q163042-Dic76304,7
C8⋊D193rd semidirect product of C8 and D19 acting via D19/C19=C21522C8:D19304,4
C152⋊C22nd semidirect product of C152 and C2 acting faithfully1522C152:C2304,5
C19⋊C16The semidirect product of C19 and C16 acting via C16/C8=C23042C19:C16304,1
C76⋊C41st semidirect product of C76 and C4 acting via C4/C2=C2304C76:C4304,12
C76.C41st non-split extension by C76 of C4 acting via C4/C2=C21522C76.C4304,9
C4×C76Abelian group of type [4,76]304C4xC76304,19
C2×C152Abelian group of type [2,152]304C2xC152304,22
C8×D19Direct product of C8 and D191522C8xD19304,3
D8×C19Direct product of C19 and D81522D8xC19304,24
SD16×C19Direct product of C19 and SD161522SD16xC19304,25
M4(2)×C19Direct product of C19 and M4(2)1522M4(2)xC19304,23
Q16×C19Direct product of C19 and Q163042Q16xC19304,26
C4×Dic19Direct product of C4 and Dic19304C4xDic19304,10
C2×C19⋊C8Direct product of C2 and C19⋊C8304C2xC19:C8304,8
C4⋊C4×C19Direct product of C19 and C4⋊C4304C4:C4xC19304,21

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×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

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×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
D156Dihedral group1562+D156312,39
Dic78Dicyclic group; = C392Q83122-Dic78312,37
D52⋊C3The semidirect product of D52 and C3 acting faithfully526+D52:C3312,10
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
Dic26⋊C3The semidirect product of Dic26 and C3 acting faithfully1046-Dic26:C3312,8
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
C2×C156Abelian group of type [2,156]312C2xC156312,42
C2×F13Direct product of C2 and F13; = Aut(D26) = Hol(C26)2612+C2xF13312,45
S3×C52Direct product of C52 and S31562S3xC52312,33
C3×D52Direct product of C3 and D521562C3xD52312,29
C4×D39Direct product of C4 and D391562C4xD39312,38
D4×C39Direct product of C39 and D41562D4xC39312,43
C12×D13Direct product of C12 and D131562C12xD13312,28
C13×D12Direct product of C13 and D121562C13xD12312,34
Q8×C39Direct product of C39 and Q83122Q8xC39312,44
C3×Dic26Direct product of C3 and Dic263122C3xDic26312,27
C6×Dic13Direct product of C6 and Dic13312C6xDic13312,30
C13×Dic6Direct product of C13 and Dic63122C13xDic6312,32
Dic3×C26Direct product of C26 and Dic3312Dic3xC26312,35
C2×Dic39Direct product of C2 and Dic39312C2xDic39312,40
C4×C13⋊C6Direct product of C4 and C13⋊C6526C4xC13:C6312,9
D4×C13⋊C3Direct product of D4 and C13⋊C3526D4xC13:C3312,23
C6×C13⋊C4Direct product of C6 and C13⋊C4784C6xC13:C4312,52
C2×C39⋊C4Direct product of C2 and C39⋊C4784C2xC39:C4312,53
C8×C13⋊C3Direct product of C8 and C13⋊C31043C8xC13:C3312,2
Q8×C13⋊C3Direct product of Q8 and C13⋊C31046Q8xC13:C3312,24
C2×C26.C6Direct product of C2 and C26.C6104C2xC26.C6312,11
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
D160Dihedral group1602+D160320,6
Dic80Dicyclic group; = C51Q643202-Dic80320,8
C80⋊C46th semidirect product of C80 and C4 acting faithfully804C80:C4320,70
C804C44th semidirect product of C80 and C4 acting faithfully804C80:4C4320,185
C805C45th semidirect product of C80 and C4 acting faithfully804C80:5C4320,186
C802C42nd semidirect product of C80 and C4 acting faithfully804C80:2C4320,187
C803C43rd semidirect product of C80 and C4 acting faithfully804C80:3C4320,188
C167F53rd semidirect product of C16 and F5 acting via F5/D5=C2804C16:7F5320,182
C16⋊F53rd semidirect product of C16 and F5 acting via F5/C5=C4804C16:F5320,183
C164F54th semidirect product of C16 and F5 acting via F5/C5=C4804C16:4F5320,184
D5⋊C32The semidirect product of D5 and C32 acting via C32/C16=C21604D5:C32320,179
C32⋊D53rd semidirect product of C32 and D5 acting via D5/C5=C21602C32:D5320,5
C160⋊C22nd semidirect product of C160 and C2 acting faithfully1602C160:C2320,7
C5⋊M6(2)The semidirect product of C5 and M6(2) acting via M6(2)/C2×C8=C41604C5:M6(2)320,215
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
C408C84th semidirect product of C40 and C8 acting via C8/C4=C2320C40:8C8320,13
C406C82nd semidirect product of C40 and C8 acting via C8/C4=C2320C40:6C8320,15
C405C81st semidirect product of C40 and C8 acting via C8/C4=C2320C40:5C8320,16
C40⋊C84th semidirect product of C40 and C8 acting via C8/C2=C4320C40:C8320,217
C402C82nd semidirect product of C40 and C8 acting via C8/C2=C4320C40:2C8320,219
C401C81st semidirect product of C40 and C8 acting via C8/C2=C4320C40:1C8320,220
C203C161st semidirect product of C20 and C16 acting via C16/C8=C2320C20:3C16320,20
C8017C45th semidirect product of C80 and C4 acting via C4/C2=C2320C80:17C4320,60
C8013C41st semidirect product of C80 and C4 acting via C4/C2=C2320C80:13C4320,62
C8014C42nd semidirect product of C80 and C4 acting via C4/C2=C2320C80:14C4320,63
C20⋊C161st semidirect product of C20 and C16 acting via C16/C4=C4320C20:C16320,196
Dic5⋊C162nd semidirect product of Dic5 and C16 acting via C16/C8=C2320Dic5:C16320,223
C40.7C81st non-split extension by C40 of C8 acting via C8/C4=C2802C40.7C8320,21
C40.1C81st non-split extension by C40 of C8 acting via C8/C2=C4804C40.1C8320,227
C40.Q81st non-split extension by C40 of Q8 acting via Q8/C2=C22804C40.Q8320,71
C80.9C44th non-split extension by C80 of C4 acting via C4/C2=C21602C80.9C4320,57
C80.6C41st non-split extension by C80 of C4 acting via C4/C2=C21602C80.6C4320,64
C80.C45th non-split extension by C80 of C4 acting faithfully1604C80.C4320,180
C80.2C42nd non-split extension by C80 of C4 acting faithfully1604C80.2C4320,190
C16.F51st non-split extension by C16 of F5 acting via F5/D5=C21604C16.F5320,189
C40.C86th non-split extension by C40 of C8 acting via C8/C2=C4320C40.C8320,224
C40.10C84th non-split extension by C40 of C8 acting via C8/C4=C2320C40.10C8320,19
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
C16×F5Direct product of C16 and F5804C16xF5320,181
D5×C32Direct product of C32 and D51602D5xC32320,4
C5×D32Direct product of C5 and D321602C5xD32320,176
C5×SD64Direct product of C5 and SD641602C5xSD64320,177
C5×M6(2)Direct product of C5 and M6(2)1602C5xM6(2)320,175
C5×Q64Direct product of C5 and Q643202C5xQ64320,178
C16×Dic5Direct product of C16 and Dic5320C16xDic5320,58
C5×C16⋊C4Direct product of C5 and C16⋊C4804C5xC16:C4320,152
C5×C8.Q8Direct product of C5 and C8.Q8804C5xC8.Q8320,170
C5×C8.C8Direct product of C5 and C8.C8802C5xC8.C8320,169
C5×C8.4Q8Direct product of C5 and C8.4Q81602C5xC8.4Q8320,173
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
C5×C4⋊C16Direct product of C5 and C4⋊C16320C5xC4:C16320,168
C5×C8⋊C8Direct product of C5 and C8⋊C8320C5xC8:C8320,127
C8×C52C8Direct product of C8 and C52C8320C8xC5:2C8320,11
C5×C82C8Direct product of C5 and C82C8320C5xC8:2C8320,139
C5×C81C8Direct product of C5 and C81C8320C5xC8:1C8320,140
C4×C52C16Direct product of C4 and C52C16320C4xC5:2C16320,18
C2×C52C32Direct product of C2 and C52C32320C2xC5:2C32320,56
C5×C165C4Direct product of C5 and C165C4320C5xC16:5C4320,151
C5×C163C4Direct product of C5 and C163C4320C5xC16:3C4320,171
C5×C164C4Direct product of C5 and C164C4320C5xC16:4C4320,172

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
C9⋊C36The semidirect product of C9 and C36 acting via C36/C6=C6366C9:C36324,9
C27⋊C12The semidirect product of C27 and C12 acting via C12/C2=C61086-C27:C12324,12
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
D9×C18Direct product of C18 and D9362D9xC18324,61
C9×Dic9Direct product of C9 and Dic9362C9xDic9324,6
S3×C54Direct product of C54 and S31082S3xC54324,66
C6×D27Direct product of C6 and D271082C6xD27324,65
C3×Dic27Direct product of C3 and Dic271082C3xDic27324,10
Dic3×C27Direct product of C27 and Dic31082Dic3xC27324,11
C2×C9⋊C18Direct product of C2 and C9⋊C18366C2xC9:C18324,64
C2×C27⋊C6Direct product of C2 and C27⋊C6546+C2xC27:C6324,67
C4×C27⋊C3Direct product of C4 and C27⋊C31083C4xC27:C3324,30
C22×C27⋊C3Direct product of C22 and C27⋊C3108C2^2xC27:C3324,85
C4×C9⋊C9Direct product of C4 and C9⋊C9324C4xC9:C9324,28
C22×C9⋊C9Direct product of C22 and C9⋊C9324C2^2xC9:C9324,83

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
D164Dihedral group1642+D164328,6
Dic82Dicyclic group; = C41Q83282-Dic82328,4
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
C4×D41Direct product of C4 and D411642C4xD41328,5
D4×C41Direct product of C41 and D41642D4xC41328,10
Q8×C41Direct product of C41 and Q83282Q8xC41328,11
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
D168Dihedral group1682+D168336,93
Dic84Dicyclic group; = C214Q163362-Dic84336,94
D56⋊C3The semidirect product of D56 and C3 acting faithfully566+D56:C3336,10
C8⋊F73rd semidirect product of C8 and F7 acting via F7/C7⋊C3=C2566C8:F7336,8
C56⋊C62nd semidirect product of C56 and C6 acting faithfully566C56:C6336,9
C7⋊C48The semidirect product of C7 and C48 acting via C48/C8=C61126C7:C48336,1
C28⋊C121st semidirect product of C28 and C12 acting via C12/C2=C6112C28:C12336,16
C56⋊S34th semidirect product of C56 and S3 acting via S3/C3=C21682C56:S3336,91
C8⋊D212nd semidirect product of C8 and D21 acting via D21/C21=C21682C8:D21336,92
C84⋊C41st semidirect product of C84 and C4 acting via C4/C2=C2336C84:C4336,99
C21⋊C161st semidirect product of C21 and C16 acting via C16/C8=C23362C21:C16336,5
C28.C121st non-split extension by C28 of C12 acting via C12/C2=C6566C28.C12336,13
C8.F7The non-split extension by C8 of F7 acting via F7/C7⋊C3=C21126-C8.F7336,11
C84.C41st non-split extension by C84 of C4 acting via C4/C2=C21682C84.C4336,96
C4×C84Abelian group of type [4,84]336C4xC84336,106
C2×C168Abelian group of type [2,168]336C2xC168336,109
C8×F7Direct product of C8 and F7566C8xF7336,7
S3×C56Direct product of C56 and S31682S3xC56336,74
D7×C24Direct product of C24 and D71682D7xC24336,58
C3×D56Direct product of C3 and D561682C3xD56336,61
C7×D24Direct product of C7 and D241682C7xD24336,77
C8×D21Direct product of C8 and D211682C8xD21336,90
D8×C21Direct product of C21 and D81682D8xC21336,111
SD16×C21Direct product of C21 and SD161682SD16xC21336,112
M4(2)×C21Direct product of C21 and M4(2)1682M4(2)xC21336,110
Q16×C21Direct product of C21 and Q163362Q16xC21336,113
C3×Dic28Direct product of C3 and Dic283362C3xDic28336,62
C12×Dic7Direct product of C12 and Dic7336C12xDic7336,65
C7×Dic12Direct product of C7 and Dic123362C7xDic12336,78
Dic3×C28Direct product of C28 and Dic3336Dic3xC28336,81
C4×Dic21Direct product of C4 and Dic21336C4xDic21336,97
D8×C7⋊C3Direct product of D8 and C7⋊C3566D8xC7:C3336,53
SD16×C7⋊C3Direct product of SD16 and C7⋊C3566SD16xC7:C3336,54
M4(2)×C7⋊C3Direct product of M4(2) and C7⋊C3566M4(2)xC7:C3336,52
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
Q16×C7⋊C3Direct product of Q16 and C7⋊C31126Q16xC7:C3336,55
C42×C7⋊C3Direct product of C42 and C7⋊C3112C4^2xC7:C3336,48
C7×C8⋊S3Direct product of C7 and C8⋊S31682C7xC8:S3336,75
C3×C8⋊D7Direct product of C3 and C8⋊D71682C3xC8:D7336,59
C3×C56⋊C2Direct product of C3 and C56⋊C21682C3xC56:C2336,60
C7×C24⋊C2Direct product of C7 and C24⋊C21682C7xC24:C2336,76
C3×C4.Dic7Direct product of C3 and C4.Dic71682C3xC4.Dic7336,64
C7×C4.Dic3Direct product of C7 and C4.Dic31682C7xC4.Dic3336,80
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
C4⋊C4×C21Direct product of C21 and C4⋊C4336C4:C4xC21336,108
C2×C21⋊C8Direct product of C2 and C21⋊C8336C2xC21:C8336,95
C3×C4⋊Dic7Direct product of C3 and C4⋊Dic7336C3xC4:Dic7336,67
C7×C4⋊Dic3Direct product of C7 and C4⋊Dic3336C7xC4:Dic3336,83
C2×C8×C7⋊C3Direct product of C2×C8 and C7⋊C3112C2xC8xC7:C3336,51
C4⋊C4×C7⋊C3Direct product of C4⋊C4 and C7⋊C3112C4:C4xC7:C3336,50

Groups of order 337

C337Cyclic group3371C337337,1

Groups of order 338

C338Cyclic group3381C338338,2
D169Dihedral group1692+D169338,1
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
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
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
C2×C192C9Direct product of C2 and C192C93423C2xC19:2C9342,2

Groups of order 343

C343Cyclic group3431C343343,1
7- 1+2Extraspecial group497ES-(7,1)343,4
C7×C49Abelian group of type [7,49]343C7xC49343,2

Groups of order 344

C344Cyclic group3441C344344,2
D172Dihedral group1722+D172344,5
Dic86Dicyclic group; = C43Q83442-Dic86344,3
C43⋊C8The semidirect product of C43 and C8 acting via C8/C4=C23442C43:C8344,1
C2×C172Abelian group of type [2,172]344C2xC172344,8
C4×D43Direct product of C4 and D431722C4xD43344,4
D4×C43Direct product of C43 and D41722D4xC43344,9
Q8×C43Direct product of C43 and Q83442Q8xC43344,10
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×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×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

Groups of order 351

C351Cyclic group3511C351351,2
C117⋊C32nd semidirect product of C117 and C3 acting faithfully1173C117:C3351,4
C1173C33rd semidirect product of C117 and C3 acting faithfully1173C117:3C3351,5
C13⋊C27The semidirect product of C13 and C27 acting via C27/C9=C33513C13:C27351,1
C3×C117Abelian group of type [3,117]351C3xC117351,9
C13×3- 1+2Direct product of C13 and 3- 1+21173C13xES-(3,1)351,11
C9×C13⋊C3Direct product of C9 and C13⋊C31173C9xC13:C3351,3
C3×C13⋊C9Direct product of C3 and C13⋊C9351C3xC13:C9351,6

Groups of order 352

C352Cyclic group3521C352352,2
D176Dihedral group1762+D176352,5
Dic88Dicyclic group; = C111Q323522-Dic88352,7
C176⋊C22nd semidirect product of C176 and C2 acting faithfully1762C176:C2352,6
C11⋊C32The semidirect product of C11 and C32 acting via C32/C16=C23522C11:C32352,1
C44⋊C81st semidirect product of C44 and C8 acting via C8/C4=C2352C44:C8352,10
C88⋊C44th semidirect product of C88 and C4 acting via C4/C2=C2352C88:C4352,21
D22.C8The non-split extension by D22 of C8 acting via C8/C4=C21762D22.C8352,4
C44.C81st non-split extension by C44 of C8 acting via C8/C4=C21762C44.C8352,18
C88.C41st non-split extension by C88 of C4 acting via C4/C2=C21762C88.C4352,25
C44.4Q81st non-split extension by C44 of Q8 acting via Q8/C4=C2352C44.4Q8352,23
C44.5Q82nd non-split extension by C44 of Q8 acting via Q8/C4=C2352C44.5Q8352,24
C4×C88Abelian group of type [4,88]352C4xC88352,45
C2×C176Abelian group of type [2,176]352C2xC176352,58
C16×D11Direct product of C16 and D111762C16xD11352,3
C11×D16Direct product of C11 and D161762C11xD16352,60
C11×SD32Direct product of C11 and SD321762C11xSD32352,61
C11×M5(2)Direct product of C11 and M5(2)1762C11xM5(2)352,59
C11×Q32Direct product of C11 and Q323522C11xQ32352,62
C8×Dic11Direct product of C8 and Dic11352C8xDic11352,19
C11×C8.C4Direct product of C11 and C8.C41762C11xC8.C4352,57
C4×C11⋊C8Direct product of C4 and C11⋊C8352C4xC11:C8352,8
C11×C4⋊C8Direct product of C11 and C4⋊C8352C11xC4:C8352,54
C2×C11⋊C16Direct product of C2 and C11⋊C16352C2xC11:C16352,17
C11×C8⋊C4Direct product of C11 and C8⋊C4352C11xC8:C4352,46
C11×C2.D8Direct product of C11 and C2.D8352C11xC2.D8352,56
C11×C4.Q8Direct product of C11 and C4.Q8352C11xC4.Q8352,55

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
D180Dihedral group1802+D180360,27
Dic90Dicyclic group; = C452Q83602-Dic90360,25
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
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
C18×F5Direct product of C18 and F5904C18xF5360,43
S3×C60Direct product of C60 and S31202S3xC60360,96
C3×D60Direct product of C3 and D601202C3xD60360,102
C15×D12Direct product of C15 and D121202C15xD12360,97
C12×D15Direct product of C12 and D151202C12xD15360,101
C15×Dic6Direct product of C15 and Dic61202C15xDic6360,95
Dic3×C30Direct product of C30 and Dic3120Dic3xC30360,98
C3×Dic30Direct product of C3 and Dic301202C3xDic30360,100
C6×Dic15Direct product of C6 and Dic15120C6xDic15360,103
D5×C36Direct product of C36 and D51802D5xC36360,16
C9×D20Direct product of C9 and D201802C9xD20360,17
D9×C20Direct product of C20 and D91802D9xC20360,21
C5×D36Direct product of C5 and D361802C5xD36360,22
C4×D45Direct product of C4 and D451802C4xD45360,26
D4×C45Direct product of C45 and D41802D4xC45360,31
C32×D20Direct product of C32 and D20180C3^2xD20360,92
Q8×C45Direct product of C45 and Q83602Q8xC45360,32
C9×Dic10Direct product of C9 and Dic103602C9xDic10360,15
C18×Dic5Direct product of C18 and Dic5360C18xDic5360,18
C5×Dic18Direct product of C5 and Dic183602C5xDic18360,20
C10×Dic9Direct product of C10 and Dic9360C10xDic9360,23
C2×Dic45Direct product of C2 and Dic45360C2xDic45360,28
C32×Dic10Direct product of C32 and Dic10360C3^2xDic10360,90
C6×C3⋊F5Direct product of C6 and C3⋊F5604C6xC3:F5360,146
C2×C9⋊F5Direct product of C2 and C9⋊F5904C2xC9:F5360,44
C3×C6×F5Direct product of C3×C6 and F590C3xC6xF5360,145
C15×C3⋊C8Direct product of C15 and C3⋊C81202C15xC3:C8360,34
C3×C15⋊C8Direct product of C3 and C15⋊C81204C3xC15:C8360,53
C3×C153C8Direct product of C3 and C153C81202C3xC15:3C8360,35
D5×C3×C12Direct product of C3×C12 and D5180D5xC3xC12360,91
D4×C3×C15Direct product of C3×C15 and D4180D4xC3xC15360,116
C5×C9⋊C8Direct product of C5 and C9⋊C83602C5xC9:C8360,1
C9×C5⋊C8Direct product of C9 and C5⋊C83604C9xC5:C8360,5
Q8×C3×C15Direct product of C3×C15 and Q8360Q8xC3xC15360,117
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
C32×C52C8Direct product of C32 and C52C8360C3^2xC5:2C8360,33

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
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×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
D184Dihedral group1842+D184368,6
Dic92Dicyclic group; = C231Q163682-Dic92368,7
C8⋊D233rd semidirect product of C8 and D23 acting via D23/C23=C21842C8:D23368,4
C184⋊C22nd semidirect product of C184 and C2 acting faithfully1842C184:C2368,5
C23⋊C16The semidirect product of C23 and C16 acting via C16/C8=C23682C23:C16368,1
C92⋊C41st semidirect product of C92 and C4 acting via C4/C2=C2368C92:C4368,12
C92.C41st non-split extension by C92 of C4 acting via C4/C2=C21842C92.C4368,9
C4×C92Abelian group of type [4,92]368C4xC92368,19
C2×C184Abelian group of type [2,184]368C2xC184368,22
C8×D23Direct product of C8 and D231842C8xD23368,3
D8×C23Direct product of C23 and D81842D8xC23368,24
SD16×C23Direct product of C23 and SD161842SD16xC23368,25
M4(2)×C23Direct product of C23 and M4(2)1842M4(2)xC23368,23
Q16×C23Direct product of C23 and Q163682Q16xC23368,26
C4×Dic23Direct product of C4 and Dic23368C4xDic23368,10
C2×C23⋊C8Direct product of C2 and C23⋊C8368C2xC23:C8368,8
C4⋊C4×C23Direct product of C23 and C4⋊C4368C4:C4xC23368,21

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⋊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×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
C3×5- 1+2Direct product of C3 and 5- 1+2755C3xES-(5,1)375,5

Groups of order 376

C376Cyclic group3761C376376,2
D188Dihedral group1882+D188376,5
Dic94Dicyclic group; = C47Q83762-Dic94376,3
C47⋊C8The semidirect product of C47 and C8 acting via C8/C4=C23762C47:C8376,1
C2×C188Abelian group of type [2,188]376C2xC188376,8
C4×D47Direct product of C4 and D471882C4xD47376,4
D4×C47Direct product of C47 and D41882D4xC47376,9
Q8×C47Direct product of C47 and Q83762Q8xC47376,10
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
C93F71st semidirect product of C9 and F7 acting via F7/D7=C3636C9:3F7378,8
C94F72nd semidirect product of C9 and F7 acting via F7/D7=C3636C9:4F7378,9
C9⋊F71st semidirect product of C9 and F7 acting via F7/C7=C6636+C9:F7378,18
C92F72nd semidirect product of C9 and F7 acting via F7/C7=C6636+C9:2F7378,19
C95F7The semidirect product of C9 and F7 acting via F7/C7⋊C3=C2636+C9:5F7378,20
C63⋊C65th semidirect product of C63 and C6 acting faithfully636C63:C6378,13
C636C66th semidirect product of C63 and C6 acting faithfully636C63:6C6378,14
D63⋊C31st semidirect product of D63 and C3 acting faithfully636+D63:C3378,39
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×C126Abelian group of type [3,126]378C3xC126378,44
C9×F7Direct product of C9 and F7636C9xF7378,7
D7×3- 1+2Direct product of D7 and 3- 1+2636D7xES-(3,1)378,31
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
C14×3- 1+2Direct product of C14 and 3- 1+21263C14xES-(3,1)378,46
C7×D27Direct product of C7 and D271892C7xD27378,3
D7×C27Direct product of C27 and D71892D7xC27378,4
D9×C7⋊C3Direct product of D9 and C7⋊C3636D9xC7:C3378,15
C7×C9⋊C6Direct product of C7 and C9⋊C6636C7xC9:C6378,35
S3×C7⋊C9Direct product of S3 and C7⋊C91266S3xC7:C9378,16
C18×C7⋊C3Direct product of C18 and C7⋊C31263C18xC7:C3378,23
C2×C63⋊C3Direct product of C2 and C63⋊C31263C2xC63:C3378,24
C2×C633C3Direct product of C2 and C633C31263C2xC63:3C3378,25
D7×C3×C9Direct product of C3×C9 and D7189D7xC3xC9378,29
C3×C7⋊C18Direct product of C3 and C7⋊C18189C3xC7:C18378,10
C6×C7⋊C9Direct product of C6 and C7⋊C9378C6xC7:C9378,26
C2×C7⋊C27Direct product of C2 and C7⋊C273783C2xC7:C27378,2

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
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
D196Dihedral group1962+D196392,5
Dic98Dicyclic group; = C49Q83922-Dic98392,3
C49⋊C8The semidirect product of C49 and C8 acting via C8/C4=C23922C49:C8392,1
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
D7×C28Direct product of C28 and D7562D7xC28392,24
C7×D28Direct product of C7 and D28562C7xD28392,25
C7×Dic14Direct product of C7 and Dic14562C7xDic14392,23
C14×Dic7Direct product of C14 and Dic756C14xDic7392,26
C4×D49Direct product of C4 and D491962C4xD49392,4
D4×C49Direct product of C49 and D41962D4xC49392,9
D4×C72Direct product of C72 and D4196D4xC7^2392,34
Q8×C49Direct product of C49 and Q83922Q8xC49392,10
Q8×C72Direct product of C72 and Q8392Q8xC7^2392,35
C2×Dic49Direct product of C2 and Dic49392C2xDic49392,6
C7×C7⋊C8Direct product of C7 and C7⋊C8562C7xC7:C8392,14

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
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×C66Direct product of C66 and S31322S3xC66396,26
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
C3×C6×D11Direct product of C3×C6 and D11198C3xC6xD11396,25

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
D200Dihedral group2002+D200400,8
Dic100Dicyclic group; = C251Q164002-Dic100400,4
C100⋊C41st semidirect product of C100 and C4 acting faithfully1004C100:C4400,31
D25⋊C8The semidirect product of D25 and C8 acting via C8/C4=C22004D25:C8400,28
C8⋊D253rd semidirect product of C8 and D25 acting via D25/C25=C22002C8:D25400,6
C200⋊C22nd semidirect product of C200 and C2 acting faithfully2002C200:C2400,7
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
C4⋊Dic25The semidirect product of C4 and Dic25 acting via Dic25/C50=C2400C4:Dic25400,13
C4.Dic25The non-split extension by C4 of Dic25 acting via Dic25/C50=C22002C4.Dic25400,10
C100.C41st non-split extension by C100 of C4 acting faithfully2004C100.C4400,29
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
D5×C40Direct product of C40 and D5802D5xC40400,76
C5×D40Direct product of C5 and D40802C5xD40400,79
C20×F5Direct product of C20 and F5804C20xF5400,137
C5×Dic20Direct product of C5 and Dic20802C5xDic20400,80
Dic5×C20Direct product of C20 and Dic580Dic5xC20400,83
C8×D25Direct product of C8 and D252002C8xD25400,5
D8×C25Direct product of C25 and D82002D8xC25400,25
D8×C52Direct product of C52 and D8200D8xC5^2400,113
SD16×C25Direct product of C25 and SD162002SD16xC25400,26
M4(2)×C25Direct product of C25 and M4(2)2002M4(2)xC25400,24
SD16×C52Direct product of C52 and SD16200SD16xC5^2400,114
M4(2)×C52Direct product of C52 and M4(2)200M4(2)xC5^2400,112
Q16×C25Direct product of C25 and Q164002Q16xC25400,27
C4×Dic25Direct product of C4 and Dic25400C4xDic25400,11
Q16×C52Direct product of C52 and Q16400Q16xC5^2400,115
C5×C4.Dic5Direct product of C5 and C4.Dic5402C5xC4.Dic5400,82
C5×C5⋊C16Direct product of C5 and C5⋊C16804C5xC5:C16400,56
C10×C5⋊C8Direct product of C10 and C5⋊C880C10xC5:C8400,139
C5×C4⋊F5Direct product of C5 and C4⋊F5804C5xC4:F5400,138
C5×D5⋊C8Direct product of C5 and D5⋊C8804C5xD5:C8400,135
C5×C8⋊D5Direct product of C5 and C8⋊D5802C5xC8:D5400,77
C5×C40⋊C2Direct product of C5 and C40⋊C2802C5xC40:C2400,78
C5×C52C16Direct product of C5 and C52C16802C5xC5:2C16400,49
C10×C52C8Direct product of C10 and C52C880C10xC5:2C8400,81
C5×C4.F5Direct product of C5 and C4.F5804C5xC4.F5400,136
C5×C4⋊Dic5Direct product of C5 and C4⋊Dic580C5xC4:Dic5400,85
C4×C25⋊C4Direct product of C4 and C25⋊C41004C4xC25:C4400,30
C2×C25⋊C8Direct product of C2 and C25⋊C8400C2xC25:C8400,32
C4⋊C4×C25Direct product of C25 and C4⋊C4400C4:C4xC25400,22
C2×C252C8Direct product of C2 and C252C8400C2xC25:2C8400,9
C4⋊C4×C52Direct product of C52 and C4⋊C4400C4:C4xC5^2400,110

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
C9×C45Abelian group of type [9,45]405C9xC45405,2
C3×C135Abelian group of type [3,135]405C3xC135405,5
C5×C27⋊C3Direct product of C5 and C27⋊C31353C5xC27:C3405,6
C5×C9⋊C9Direct product of C5 and C9⋊C9405C5xC9:C9405,4

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
D204Dihedral group2042+D204408,27
Dic102Dicyclic group; = C512Q84082-Dic102408,25
C51⋊C81st semidirect product of C51 and C8 acting faithfully518C51:C8408,34
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
S3×C68Direct product of C68 and S32042S3xC68408,21
C3×D68Direct product of C3 and D682042C3xD68408,17
C4×D51Direct product of C4 and D512042C4xD51408,26
D4×C51Direct product of C51 and D42042D4xC51408,31
C12×D17Direct product of C12 and D172042C12xD17408,16
C17×D12Direct product of C17 and D122042C17xD12408,22
Q8×C51Direct product of C51 and Q84082Q8xC51408,32
C3×Dic34Direct product of C3 and Dic344082C3xDic34408,15
C6×Dic17Direct product of C6 and Dic17408C6xDic17408,18
C17×Dic6Direct product of C17 and Dic64082C17xDic6408,20
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
C6×C17⋊C4Direct product of C6 and C17⋊C41024C6xC17:C4408,39
C2×C51⋊C4Direct product of C2 and C51⋊C41024C2xC51:C4408,40
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 D52052D5xC41410,3
C5×D41Direct product of C5 and D412052C5xD41410,4
C2×C41⋊C5Direct product of C2 and C41⋊C5825C2xC41:C5410,2

Groups of order 411

C411Cyclic group4111C411411,1

Groups of order 412

C412Cyclic group4121C412412,2
D206Dihedral group; = C2×D1032062+D206412,3
Dic103Dicyclic group; = C103C44122-Dic103412,1
C2×C206Abelian group of type [2,206]412C2xC206412,4

Groups of order 413

C413Cyclic group4131C413413,1

Groups of order 414

C414Cyclic group4141C414414,4
D207Dihedral group2072+D207414,3
C3×C138Abelian group of type [3,138]414C3xC138414,10
S3×C69Direct product of C69 and S31382S3xC69414,6
C3×D69Direct product of C3 and D691382C3xD69414,7
D9×C23Direct product of C23 and D92072D9xC23414,1
C9×D23Direct product of C9 and D232072C9xD23414,2
C32×D23Direct product of C32 and D23207C3^2xD23414,5

Groups of order 415

C415Cyclic group4151C415415,1

Groups of order 416

C416Cyclic group4161C416416,2
D208Dihedral group2082+D208416,6
Dic104Dicyclic group; = C131Q324162-Dic104416,8
C104⋊C44th semidirect product of C104 and C4 acting faithfully1044C104:C4416,67
D13⋊C16The semidirect product of D13 and C16 acting via C16/C8=C22084D13:C16416,64
C208⋊C24th semidirect product of C208 and C2 acting faithfully2082C208:C2416,5
C16⋊D132nd semidirect product of C16 and D13 acting via D13/C13=C22082C16:D13416,7
C13⋊C32The semidirect product of C13 and C32 acting via C32/C8=C44164C13:C32416,3
C523C81st semidirect product of C52 and C8 acting via C8/C4=C2416C52:3C8416,11
C52⋊C81st semidirect product of C52 and C8 acting via C8/C2=C4416C52:C8416,76
C132C32The semidirect product of C13 and C32 acting via C32/C16=C24162C13:2C32416,1
C1048C44th semidirect product of C104 and C4 acting via C4/C2=C2416C104:8C4416,22
C1046C42nd semidirect product of C104 and C4 acting via C4/C2=C2416C104:6C4416,24
C1045C41st semidirect product of C104 and C4 acting via C4/C2=C2416C104:5C4416,25
D26.8D44th non-split extension by D26 of D4 acting via D4/C4=C21044D26.8D4416,68
D13.D8The non-split extension by D13 of D8 acting via D8/C8=C21044D13.D8416,69
C52.4C81st non-split extension by C52 of C8 acting via C8/C4=C22082C52.4C8416,19
C52.C81st non-split extension by C52 of C8 acting via C8/C2=C42084C52.C8416,73
C104.6C41st non-split extension by C104 of C4 acting via C4/C2=C22082C104.6C4416,26
C104.C42nd non-split extension by C104 of C4 acting faithfully2084C104.C4416,70
C104.1C41st non-split extension by C104 of C4 acting faithfully2084C104.1C4416,71
D26.C83rd non-split extension by D26 of C8 acting via C8/C4=C22084D26.C8416,65
C4×C104Abelian group of type [4,104]416C4xC104416,46
C2×C208Abelian group of type [2,208]416C2xC208416,59
C16×D13Direct product of C16 and D132082C16xD13416,4
C13×D16Direct product of C13 and D162082C13xD16416,61
C13×SD32Direct product of C13 and SD322082C13xSD32416,62
C13×M5(2)Direct product of C13 and M5(2)2082C13xM5(2)416,60
C13×Q32Direct product of C13 and Q324162C13xQ32416,63
C8×Dic13Direct product of C8 and Dic13416C8xDic13416,20
C8×C13⋊C4Direct product of C8 and C13⋊C41044C8xC13:C4416,66
C13×C8.C4Direct product of C13 and C8.C42082C13xC8.C4416,58
C4×C13⋊C8Direct product of C4 and C13⋊C8416C4xC13:C8416,75
C13×C4⋊C8Direct product of C13 and C4⋊C8416C13xC4:C8416,55
C2×C13⋊C16Direct product of C2 and C13⋊C16416C2xC13:C16416,72
C13×C8⋊C4Direct product of C13 and C8⋊C4416C13xC8:C4416,47
C4×C132C8Direct product of C4 and C132C8416C4xC13:2C8416,9
C2×C132C16Direct product of C2 and C132C16416C2xC13:2C16416,18
C13×C2.D8Direct product of C13 and C2.D8416C13xC2.D8416,57
C13×C4.Q8Direct product of C13 and C4.Q8416C13xC4.Q8416,56

Groups of order 417

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

Groups of order 418

C418Cyclic group4181C418418,4
D209Dihedral group2092+D209418,3
C19×D11Direct product of C19 and D112092C19xD11418,1
C11×D19Direct product of C11 and D192092C11xD19418,2

Groups of order 419

C419Cyclic group4191C419419,1

Groups of order 420

C420Cyclic group4201C420420,12
D210Dihedral group; = C2×D1052102+D210420,40
Dic105Dicyclic group; = C3Dic354202-Dic105420,11
C35⋊C121st semidirect product of C35 and C12 acting faithfully3512C35:C12420,15
C5⋊Dic21The semidirect product of C5 and Dic21 acting via Dic21/C21=C41054C5:Dic21420,23
C353C121st semidirect product of C35 and C12 acting via C12/C2=C61406-C35:3C12420,3
C2×C210Abelian group of type [2,210]420C2xC210420,41
C10×F7Direct product of C10 and F7706C10xF7420,17
F5×C21Direct product of C21 and F51054F5xC21420,20
S3×C70Direct product of C70 and S32102S3xC70420,37
D7×C30Direct product of C30 and D72102D7xC30420,34
D5×C42Direct product of C42 and D52102D5xC42420,35
C6×D35Direct product of C6 and D352102C6xD35420,36
C10×D21Direct product of C10 and D212102C10xD21420,38
C14×D15Direct product of C14 and D152102C14xD15420,39
C15×Dic7Direct product of C15 and Dic74202C15xDic7420,5
Dic5×C21Direct product of C21 and Dic54202Dic5xC21420,6
C3×Dic35Direct product of C3 and Dic354202C3xDic35420,7
Dic3×C35Direct product of C35 and Dic34202Dic3xC35420,8
C5×Dic21Direct product of C5 and Dic214202C5xDic21420,9
C7×Dic15Direct product of C7 and Dic154202C7xDic15420,10
F5×C7⋊C3Direct product of F5 and C7⋊C33512F5xC7:C3420,14
C2×C5⋊F7Direct product of C2 and C5⋊F7706+C2xC5:F7420,19
C3×C7⋊F5Direct product of C3 and C7⋊F51054C3xC7:F5420,21
C7×C3⋊F5Direct product of C7 and C3⋊F51054C7xC3:F5420,22
C5×C7⋊C12Direct product of C5 and C7⋊C121406C5xC7:C12420,1
C20×C7⋊C3Direct product of C20 and C7⋊C31403C20xC7:C3420,4
Dic5×C7⋊C3Direct product of Dic5 and C7⋊C31406Dic5xC7:C3420,2
C2×D5×C7⋊C3Direct product of C2, D5 and C7⋊C3706C2xD5xC7:C3420,18
C2×C10×C7⋊C3Direct product of C2×C10 and C7⋊C3140C2xC10xC7:C3420,31

Groups of order 421

C421Cyclic group4211C421421,1

Groups of order 422

C422Cyclic group4221C422422,2
D211Dihedral group2112+D211422,1

Groups of order 423

C423Cyclic group4231C423423,1
C3×C141Abelian group of type [3,141]423C3xC141423,2

Groups of order 424

C424Cyclic group4241C424424,2
D212Dihedral group2122+D212424,6
Dic106Dicyclic group; = C53Q84242-Dic106424,4
C53⋊C8The semidirect product of C53 and C8 acting via C8/C2=C44244-C53:C8424,3
C532C8The semidirect product of C53 and C8 acting via C8/C4=C24242C53:2C8424,1
C2×C212Abelian group of type [2,212]424C2xC212424,9
C4×D53Direct product of C4 and D532122C4xD53424,5
D4×C53Direct product of C53 and D42122D4xC53424,10
Q8×C53Direct product of C53 and Q84242Q8xC53424,11
C2×Dic53Direct product of C2 and Dic53424C2xDic53424,7
C2×C53⋊C4Direct product of C2 and C53⋊C41064+C2xC53:C4424,12

Groups of order 425

C425Cyclic group4251C425425,1
C5×C85Abelian group of type [5,85]425C5xC85425,2

Groups of order 426

C426Cyclic group4261C426426,4
D213Dihedral group2132+D213426,3
S3×C71Direct product of C71 and S32132S3xC71426,1
C3×D71Direct product of C3 and D712132C3xD71426,2

Groups of order 427

C427Cyclic group4271C427427,1

Groups of order 428

C428Cyclic group4281C428428,2
D214Dihedral group; = C2×D1072142+D214428,3
Dic107Dicyclic group; = C107C44282-Dic107428,1
C2×C214Abelian group of type [2,214]428C2xC214428,4

Groups of order 429

C429Cyclic group4291C429429,2
C11×C13⋊C3Direct product of C11 and C13⋊C31433C11xC13:C3429,1

Groups of order 430

C430Cyclic group4301C430430,4
D215Dihedral group2152+D215430,3
D5×C43Direct product of C43 and D52152D5xC43430,1
C5×D43Direct product of C5 and D432152C5xD43430,2

Groups of order 431

C431Cyclic group4311C431431,1

Groups of order 432

C432Cyclic group4321C432432,2
D216Dihedral group2162+D216432,8
Dic108Dicyclic group; = C271Q164322-Dic108432,4
D72⋊C3The semidirect product of D72 and C3 acting faithfully726+D72:C3432,123
C72⋊C64th semidirect product of C72 and C6 acting faithfully726C72:C6432,121
C722C62nd semidirect product of C72 and C6 acting faithfully726C72:2C6432,122
C9⋊C48The semidirect product of C9 and C48 acting via C48/C8=C61446C9:C48432,31
C36⋊C121st semidirect product of C36 and C12 acting via C12/C2=C6144C36:C12432,146
C8⋊D273rd semidirect product of C8 and D27 acting via D27/C27=C22162C8:D27432,6
C216⋊C22nd semidirect product of C216 and C2 acting faithfully2162C216:C2432,7
C27⋊C16The semidirect product of C27 and C16 acting via C16/C8=C24322C27:C16432,1
C4⋊Dic27The semidirect product of C4 and Dic27 acting via Dic27/C54=C2432C4:Dic27432,13
C36.C121st non-split extension by C36 of C12 acting via C12/C2=C6726C36.C12432,143
C72.C61st non-split extension by C72 of C6 acting faithfully1446-C72.C6432,119
C4.Dic27The non-split extension by C4 of Dic27 acting via Dic27/C54=C22162C4.Dic27432,10
C6×C72Abelian group of type [6,72]432C6xC72432,209
C4×C108Abelian group of type [4,108]432C4xC108432,20
C2×C216Abelian group of type [2,216]432C2xC216432,23
C3×C144Abelian group of type [3,144]432C3xC144432,34
C12×C36Abelian group of type [12,36]432C12xC36432,200
D8×3- 1+2Direct product of D8 and 3- 1+2726D8xES-(3,1)432,217
SD16×3- 1+2Direct product of SD16 and 3- 1+2726SD16xES-(3,1)432,220
M4(2)×3- 1+2Direct product of M4(2) and 3- 1+2726M4(2)xES-(3,1)432,214
S3×C72Direct product of C72 and S31442S3xC72432,109
D9×C24Direct product of C24 and D91442D9xC24432,105
C3×D72Direct product of C3 and D721442C3xD72432,108
C9×D24Direct product of C9 and D241442C9xD24432,112
C3×Dic36Direct product of C3 and Dic361442C3xDic36432,104
C9×Dic12Direct product of C9 and Dic121442C9xDic12432,113
C12×Dic9Direct product of C12 and Dic9144C12xDic9432,128
Dic3×C36Direct product of C36 and Dic3144Dic3xC36432,131
C16×3- 1+2Direct product of C16 and 3- 1+21443C16xES-(3,1)432,36
Q16×3- 1+2Direct product of Q16 and 3- 1+21446Q16xES-(3,1)432,223
C42×3- 1+2Direct product of C42 and 3- 1+2144C4^2xES-(3,1)432,202
C8×D27Direct product of C8 and D272162C8xD27432,5
D8×C27Direct product of C27 and D82162D8xC27432,25
SD16×C27Direct product of C27 and SD162162SD16xC27432,26
M4(2)×C27Direct product of C27 and M4(2)2162M4(2)xC27432,24
Q16×C27Direct product of C27 and Q164322Q16xC27432,27
C4×Dic27Direct product of C4 and Dic27432C4xDic27432,11
C8×C9⋊C6Direct product of C8 and C9⋊C6726C8xC9:C6432,120
C3×C4.Dic9Direct product of C3 and C4.Dic9722C3xC4.Dic9432,125
C9×C4.Dic3Direct product of C9 and C4.Dic3722C9xC4.Dic3432,127
C6×C9⋊C8Direct product of C6 and C9⋊C8144C6xC9:C8432,124
C3×C9⋊C16Direct product of C3 and C9⋊C161442C3xC9:C16432,28
C9×C3⋊C16Direct product of C9 and C3⋊C161442C9xC3:C16432,29
C18×C3⋊C8Direct product of C18 and C3⋊C8144C18xC3:C8432,126
C2×C9⋊C24Direct product of C2 and C9⋊C24144C2xC9:C24432,142
C4×C9⋊C12Direct product of C4 and C9⋊C12144C4xC9:C12432,144
C9×C8⋊S3Direct product of C9 and C8⋊S31442C9xC8:S3432,110
C3×C8⋊D9Direct product of C3 and C8⋊D91442C3xC8:D9432,106
C3×C72⋊C2Direct product of C3 and C72⋊C21442C3xC72:C2432,107
C9×C24⋊C2Direct product of C9 and C24⋊C21442C9xC24:C2432,111
C3×C4⋊Dic9Direct product of C3 and C4⋊Dic9144C3xC4:Dic9432,130
C9×C4⋊Dic3Direct product of C9 and C4⋊Dic3144C9xC4:Dic3432,133
C2×C8×3- 1+2Direct product of C2×C8 and 3- 1+2144C2xC8xES-(3,1)432,211
C4⋊C4×3- 1+2Direct product of C4⋊C4 and 3- 1+2144C4:C4xES-(3,1)432,208
D8×C3×C9Direct product of C3×C9 and D8216D8xC3xC9432,215
SD16×C3×C9Direct product of C3×C9 and SD16216SD16xC3xC9432,218
M4(2)×C3×C9Direct product of C3×C9 and M4(2)216M4(2)xC3xC9432,212
C2×C27⋊C8Direct product of C2 and C27⋊C8432C2xC27:C8432,9
C4⋊C4×C27Direct product of C27 and C4⋊C4432C4:C4xC27432,22
Q16×C3×C9Direct product of C3×C9 and Q16432Q16xC3xC9432,221
C4⋊C4×C3×C9Direct product of C3×C9 and C4⋊C4432C4:C4xC3xC9432,206

Groups of order 433

C433Cyclic group4331C433433,1

Groups of order 434

C434Cyclic group4341C434434,4
D217Dihedral group2172+D217434,3
D7×C31Direct product of C31 and D72172D7xC31434,1
C7×D31Direct product of C7 and D312172C7xD31434,2

Groups of order 435

C435Cyclic group4351C435435,1

Groups of order 436

C436Cyclic group4361C436436,2
D218Dihedral group; = C2×D1092182+D218436,4
Dic109Dicyclic group; = C1092C44362-Dic109436,1
C109⋊C4The semidirect product of C109 and C4 acting faithfully1094+C109:C4436,3
C2×C218Abelian group of type [2,218]436C2xC218436,5

Groups of order 437

C437Cyclic group4371C437437,1

Groups of order 438

C438Cyclic group4381C438438,6
D219Dihedral group2192+D219438,5
C73⋊C6The semidirect product of C73 and C6 acting faithfully736+C73:C6438,1
S3×C73Direct product of C73 and S32192S3xC73438,3
C3×D73Direct product of C3 and D732192C3xD73438,4
C2×C73⋊C3Direct product of C2 and C73⋊C31463C2xC73:C3438,2

Groups of order 439

C439Cyclic group4391C439439,1

Groups of order 440

C440Cyclic group4401C440440,6
D220Dihedral group2202+D220440,36
Dic110Dicyclic group; = C552Q84402-Dic110440,34
D44⋊C5The semidirect product of D44 and C5 acting faithfully4410+D44:C5440,9
C11⋊C40The semidirect product of C11 and C40 acting via C40/C4=C108810C11:C40440,1
C553C81st semidirect product of C55 and C8 acting via C8/C4=C24402C55:3C8440,5
C55⋊C81st semidirect product of C55 and C8 acting via C8/C2=C44404C55:C8440,16
C4.F11The non-split extension by C4 of F11 acting via F11/C11⋊C5=C28810-C4.F11440,7
C2×C220Abelian group of type [2,220]440C2xC220440,39
C4×F11Direct product of C4 and F114410C4xF11440,8
F5×C22Direct product of C22 and F51104F5xC22440,45
C5×D44Direct product of C5 and D442202C5xD44440,26
D5×C44Direct product of C44 and D52202D5xC44440,30
C4×D55Direct product of C4 and D552202C4xD55440,35
D4×C55Direct product of C55 and D42202D4xC55440,40
C20×D11Direct product of C20 and D112202C20xD11440,25
C11×D20Direct product of C11 and D202202C11xD20440,31
Q8×C55Direct product of C55 and Q84402Q8xC55440,41
C5×Dic22Direct product of C5 and Dic224402C5xDic22440,24
Dic5×C22Direct product of C22 and Dic5440Dic5xC22440,32
C2×Dic55Direct product of C2 and Dic55440C2xDic55440,37
C10×Dic11Direct product of C10 and Dic11440C10xDic11440,27
C11×Dic10Direct product of C11 and Dic104402C11xDic10440,29
D4×C11⋊C5Direct product of D4 and C11⋊C54410D4xC11:C5440,13
C8×C11⋊C5Direct product of C8 and C11⋊C5885C8xC11:C5440,2
Q8×C11⋊C5Direct product of Q8 and C11⋊C58810Q8xC11:C5440,14
C2×C11⋊C20Direct product of C2 and C11⋊C2088C2xC11:C20440,10
C2×C11⋊F5Direct product of C2 and C11⋊F51104C2xC11:F5440,46
C5×C11⋊C8Direct product of C5 and C11⋊C84402C5xC11:C8440,4
C11×C5⋊C8Direct product of C11 and C5⋊C84404C11xC5:C8440,15
C11×C52C8Direct product of C11 and C52C84402C11xC5:2C8440,3
C2×C4×C11⋊C5Direct product of C2×C4 and C11⋊C588C2xC4xC11:C5440,12

Groups of order 441

C441Cyclic group4411C441441,2
C49⋊C9The semidirect product of C49 and C9 acting via C9/C3=C34413C49:C9441,1
C212Abelian group of type [21,21]441C21^2441,13
C7×C63Abelian group of type [7,63]441C7xC63441,8
C3×C147Abelian group of type [3,147]441C3xC147441,4
C7×C7⋊C9Direct product of C7 and C7⋊C9633C7xC7:C9441,5
C7⋊C3×C21Direct product of C21 and C7⋊C3633C7:C3xC21441,10
C3×C49⋊C3Direct product of C3 and C49⋊C31473C3xC49:C3441,3

Groups of order 442

C442Cyclic group4421C442442,4
D221Dihedral group2212+D221442,3
C17×D13Direct product of C17 and D132212C17xD13442,1
C13×D17Direct product of C13 and D172212C13xD17442,2

Groups of order 443

C443Cyclic group4431C443443,1

Groups of order 444

C444Cyclic group4441C444444,6
D222Dihedral group; = C2×D1112222+D222444,17
Dic111Dicyclic group; = C3Dic374442-Dic111444,5
C37⋊C12The semidirect product of C37 and C12 acting faithfully3712+C37:C12444,7
C37⋊Dic3The semidirect product of C37 and Dic3 acting via Dic3/C3=C41114C37:Dic3444,10
C74.C6The non-split extension by C74 of C6 acting faithfully1486-C74.C6444,1
C2×C222Abelian group of type [2,222]444C2xC222444,18
S3×C74Direct product of C74 and S32222S3xC74444,16
C6×D37Direct product of C6 and D372222C6xD37444,15
Dic3×C37Direct product of C37 and Dic34442Dic3xC37444,3
C3×Dic37Direct product of C3 and Dic374442C3xDic37444,4
C2×C37⋊C6Direct product of C2 and C37⋊C6746+C2xC37:C6444,8
C3×C37⋊C4Direct product of C3 and C37⋊C41114C3xC37:C4444,9
C4×C37⋊C3Direct product of C4 and C37⋊C31483C4xC37:C3444,2
C22×C37⋊C3Direct product of C22 and C37⋊C3148C2^2xC37:C3444,12

Groups of order 445

C445Cyclic group4451C445445,1

Groups of order 446

C446Cyclic group4461C446446,2
D223Dihedral group2232+D223446,1

Groups of order 447

C447Cyclic group4471C447447,1

Groups of order 448

C448Cyclic group4481C448448,2
D224Dihedral group2242+D224448,5
Dic112Dicyclic group; = C71Q644482-Dic112448,7
C112⋊C42nd semidirect product of C112 and C4 acting faithfully1124C112:C4448,69
C16⋊Dic71st semidirect product of C16 and Dic7 acting via Dic7/C7=C41124C16:Dic7448,70
C32⋊D73rd semidirect product of C32 and D7 acting via D7/C7=C22242C32:D7448,4
C224⋊C22nd semidirect product of C224 and C2 acting faithfully2242C224:C2448,6
C7⋊M6(2)The semidirect product of C7 and M6(2) acting via M6(2)/C2×C16=C22242C7:M6(2)448,56
C7⋊C64The semidirect product of C7 and C64 acting via C64/C32=C24482C7:C64448,1
C56⋊C84th semidirect product of C56 and C8 acting via C8/C4=C2448C56:C8448,12
C562C82nd semidirect product of C56 and C8 acting via C8/C4=C2448C56:2C8448,14
C561C81st semidirect product of C56 and C8 acting via C8/C4=C2448C56:1C8448,15
C28⋊C161st semidirect product of C28 and C16 acting via C16/C8=C2448C28:C16448,19
C1129C45th semidirect product of C112 and C4 acting via C4/C2=C2448C112:9C4448,59
C1125C41st semidirect product of C112 and C4 acting via C4/C2=C2448C112:5C4448,61
C1126C42nd semidirect product of C112 and C4 acting via C4/C2=C2448C112:6C4448,62
C56.16Q86th non-split extension by C56 of Q8 acting via Q8/C4=C21122C56.16Q8448,20
C112.C41st non-split extension by C112 of C4 acting via C4/C2=C22242C112.C4448,63
C56.C84th non-split extension by C56 of C8 acting via C8/C4=C2448C56.C8448,18
C8×C56Abelian group of type [8,56]448C8xC56448,125
C4×C112Abelian group of type [4,112]448C4xC112448,149
C2×C224Abelian group of type [2,224]448C2xC224448,173
D7×C32Direct product of C32 and D72242D7xC32448,3
C7×D32Direct product of C7 and D322242C7xD32448,175
C7×SD64Direct product of C7 and SD642242C7xSD64448,176
C7×M6(2)Direct product of C7 and M6(2)2242C7xM6(2)448,174
C7×Q64Direct product of C7 and Q644482C7xQ64448,177
C16×Dic7Direct product of C16 and Dic7448C16xDic7448,57
C7×C16⋊C4Direct product of C7 and C16⋊C41124C7xC16:C4448,151
C7×C8.Q8Direct product of C7 and C8.Q81124C7xC8.Q8448,169
C7×C8.C8Direct product of C7 and C8.C81122C7xC8.C8448,168
C7×C8.4Q8Direct product of C7 and C8.4Q82242C7xC8.4Q8448,172
C8×C7⋊C8Direct product of C8 and C7⋊C8448C8xC7:C8448,10
C4×C7⋊C16Direct product of C4 and C7⋊C16448C4xC7:C16448,17
C2×C7⋊C32Direct product of C2 and C7⋊C32448C2xC7:C32448,55
C7×C4⋊C16Direct product of C7 and C4⋊C16448C7xC4:C16448,167
C7×C8⋊C8Direct product of C7 and C8⋊C8448C7xC8:C8448,126
C7×C82C8Direct product of C7 and C82C8448C7xC8:2C8448,138
C7×C81C8Direct product of C7 and C81C8448C7xC8:1C8448,139
C7×C165C4Direct product of C7 and C165C4448C7xC16:5C4448,150
C7×C163C4Direct product of C7 and C163C4448C7xC16:3C4448,170
C7×C164C4Direct product of C7 and C164C4448C7xC16:4C4448,171

Groups of order 449

C449Cyclic group4491C449449,1

Groups of order 450

C450Cyclic group4501C450450,4
D225Dihedral group2252+D225450,3
C5×C90Abelian group of type [5,90]450C5xC90450,19
C3×C150Abelian group of type [3,150]450C3xC150450,10
C15×C30Abelian group of type [15,30]450C15xC30450,34
C15×D15Direct product of C15 and D15302C15xD15450,29
D5×C45Direct product of C45 and D5902D5xC45450,14
C5×D45Direct product of C5 and D45902C5xD45450,17
S3×C75Direct product of C75 and S31502S3xC75450,6
C3×D75Direct product of C3 and D751502C3xD75450,7
D9×C25Direct product of C25 and D92252D9xC25450,1
C9×D25Direct product of C9 and D252252C9xD25450,2
D9×C52Direct product of C52 and D9225D9xC5^2450,16
C32×D25Direct product of C32 and D25225C3^2xD25450,5
D5×C3×C15Direct product of C3×C15 and D590D5xC3xC15450,26
S3×C5×C15Direct product of C5×C15 and S3150S3xC5xC15450,28

Groups of order 451

C451Cyclic group4511C451451,1

Groups of order 452

C452Cyclic group4521C452452,2
D226Dihedral group; = C2×D1132262+D226452,4
Dic113Dicyclic group; = C1132C44522-Dic113452,1
C113⋊C4The semidirect product of C113 and C4 acting faithfully1134+C113:C4452,3
C2×C226Abelian group of type [2,226]452C2xC226452,5

Groups of order 453

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

Groups of order 454

C454Cyclic group4541C454454,2
D227Dihedral group2272+D227454,1

Groups of order 455

C455Cyclic group4551C455455,1

Groups of order 456

C456Cyclic group4561C456456,6
D228Dihedral group2282+D228456,36
Dic114Dicyclic group; = C572Q84562-Dic114456,34
D76⋊C3The semidirect product of D76 and C3 acting faithfully766+D76:C3456,9
C19⋊C24The semidirect product of C19 and C24 acting via C24/C4=C61526C19:C24456,1
Dic38⋊C3The semidirect product of Dic38 and C3 acting faithfully1526-Dic38:C3456,7
C57⋊C81st semidirect product of C57 and C8 acting via C8/C4=C24562C57:C8456,5
C2×C228Abelian group of type [2,228]456C2xC228456,39
S3×C76Direct product of C76 and S32282S3xC76456,30
C3×D76Direct product of C3 and D762282C3xD76456,26
C4×D57Direct product of C4 and D572282C4xD57456,35
D4×C57Direct product of C57 and D42282D4xC57456,40
C12×D19Direct product of C12 and D192282C12xD19456,25
C19×D12Direct product of C19 and D122282C19xD12456,31
Q8×C57Direct product of C57 and Q84562Q8xC57456,41
C3×Dic38Direct product of C3 and Dic384562C3xDic38456,24
C6×Dic19Direct product of C6 and Dic19456C6xDic19456,27
C19×Dic6Direct product of C19 and Dic64562C19xDic6456,29
Dic3×C38Direct product of C38 and Dic3456Dic3xC38456,32
C2×Dic57Direct product of C2 and Dic57456C2xDic57456,37
C4×C19⋊C6Direct product of C4 and C19⋊C6766C4xC19:C6456,8
D4×C19⋊C3Direct product of D4 and C19⋊C3766D4xC19:C3456,20
C8×C19⋊C3Direct product of C8 and C19⋊C31523C8xC19:C3456,2
Q8×C19⋊C3Direct product of Q8 and C19⋊C31526Q8xC19:C3456,21
C2×C19⋊C12Direct product of C2 and C19⋊C12152C2xC19:C12456,10
C19×C3⋊C8Direct product of C19 and C3⋊C84562C19xC3:C8456,3
C3×C19⋊C8Direct product of C3 and C19⋊C84562C3xC19:C8456,4
C2×C4×C19⋊C3Direct product of C2×C4 and C19⋊C3152C2xC4xC19:C3456,19

Groups of order 457

C457Cyclic group4571C457457,1

Groups of order 458

C458Cyclic group458