Z-groups

A Z-group is a group all of whose Sylow subgroups are cyclic. Such groups are metacyclic, super​soluble and monomial. See also A-groups.

Groups of order 1

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C1Trivial group11+C11,1

Groups of order 2

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C2Cyclic group21+C22,1

Groups of order 3

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C3Cyclic group; = A3 = triangle rotations31C33,1

Groups of order 4

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C4Cyclic group; = square rotations41C44,1

Groups of order 5

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C5Cyclic group; = pentagon rotations51C55,1

Groups of order 6

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

Groups of order 7

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C7Cyclic group71C77,1

Groups of order 8

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C8Cyclic group81C88,1

Groups of order 9

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C9Cyclic group91C99,1

Groups of order 10

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

Groups of order 11

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C11Cyclic group111C1111,1

Groups of order 12

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C12Cyclic group121C1212,2
Dic3Dicyclic group; = C3C4122-Dic312,1

Groups of order 13

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C13Cyclic group131C1313,1

Groups of order 14

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C14Cyclic group141C1414,2
D7Dihedral group72+D714,1

Groups of order 15

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C15Cyclic group151C1515,1

Groups of order 16

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C16Cyclic group161C1616,1

Groups of order 17

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C17Cyclic group171C1717,1

Groups of order 18

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C18Cyclic group181C1818,2
D9Dihedral group92+D918,1

Groups of order 19

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C19Cyclic group191C1919,1

Groups of order 20

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C20Cyclic group201C2020,2
F5Frobenius group; = C5C4 = AGL1(𝔽5) = Aut(D5) = Hol(C5) = Sz(2)54+F520,3
Dic5Dicyclic group; = C52C4202-Dic520,1

Groups of order 21

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

Groups of order 22

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C22Cyclic group221C2222,2
D11Dihedral group112+D1122,1

Groups of order 23

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C23Cyclic group231C2323,1

Groups of order 24

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C24Cyclic group241C2424,2
C3⋊C8The semidirect product of C3 and C8 acting via C8/C4=C2242C3:C824,1

Groups of order 25

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C25Cyclic group251C2525,1

Groups of order 26

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C26Cyclic group261C2626,2
D13Dihedral group132+D1326,1

Groups of order 27

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C27Cyclic group271C2727,1

Groups of order 28

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C28Cyclic group281C2828,2
Dic7Dicyclic group; = C7C4282-Dic728,1

Groups of order 29

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C29Cyclic group291C2929,1

Groups of order 30

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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

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C31Cyclic group311C3131,1

Groups of order 32

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C32Cyclic group321C3232,1

Groups of order 33

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C33Cyclic group331C3333,1

Groups of order 34

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C34Cyclic group341C3434,2
D17Dihedral group172+D1734,1

Groups of order 35

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C35Cyclic group351C3535,1

Groups of order 36

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C36Cyclic group361C3636,2
Dic9Dicyclic group; = C9C4362-Dic936,1

Groups of order 37

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C37Cyclic group371C3737,1

Groups of order 38

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C38Cyclic group381C3838,2
D19Dihedral group192+D1938,1

Groups of order 39

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

Groups of order 40

dρLabelID
C40Cyclic group401C4040,2
C5⋊C8The semidirect product of C5 and C8 acting via C8/C2=C4404-C5:C840,3
C52C8The semidirect product of C5 and C8 acting via C8/C4=C2402C5:2C840,1

Groups of order 41

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C41Cyclic group411C4141,1

Groups of order 42

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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

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C43Cyclic group431C4343,1

Groups of order 44

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C44Cyclic group441C4444,2
Dic11Dicyclic group; = C11C4442-Dic1144,1

Groups of order 45

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C45Cyclic group451C4545,1

Groups of order 46

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C46Cyclic group461C4646,2
D23Dihedral group232+D2346,1

Groups of order 47

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C47Cyclic group471C4747,1

Groups of order 48

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C48Cyclic group481C4848,2
C3⋊C16The semidirect product of C3 and C16 acting via C16/C8=C2482C3:C1648,1

Groups of order 49

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C49Cyclic group491C4949,1

Groups of order 50

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C50Cyclic group501C5050,2
D25Dihedral group252+D2550,1

Groups of order 51

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C51Cyclic group511C5151,1

Groups of order 52

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C52Cyclic group521C5252,2
Dic13Dicyclic group; = C132C4522-Dic1352,1
C13⋊C4The semidirect product of C13 and C4 acting faithfully134+C13:C452,3

Groups of order 53

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C53Cyclic group531C5353,1

Groups of order 54

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C54Cyclic group541C5454,2
D27Dihedral group272+D2754,1

Groups of order 55

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

Groups of order 56

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C56Cyclic group561C5656,2
C7⋊C8The semidirect product of C7 and C8 acting via C8/C4=C2562C7:C856,1

Groups of order 57

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

Groups of order 58

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C58Cyclic group581C5858,2
D29Dihedral group292+D2958,1

Groups of order 59

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C59Cyclic group591C5959,1

Groups of order 60

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C60Cyclic group601C6060,4
Dic15Dicyclic group; = C3Dic5602-Dic1560,3
C3⋊F5The semidirect product of C3 and F5 acting via F5/D5=C2154C3:F560,7
C3×F5Direct product of C3 and F5154C3xF560,6
C5×Dic3Direct product of C5 and Dic3602C5xDic360,1
C3×Dic5Direct product of C3 and Dic5602C3xDic560,2

Groups of order 61

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C61Cyclic group611C6161,1

Groups of order 62

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C62Cyclic group621C6262,2
D31Dihedral group312+D3162,1

Groups of order 63

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C63Cyclic group631C6363,2
C7⋊C9The semidirect product of C7 and C9 acting via C9/C3=C3633C7:C963,1

Groups of order 64

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C64Cyclic group641C6464,1

Groups of order 65

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C65Cyclic group651C6565,1

Groups of order 66

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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

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C67Cyclic group671C6767,1

Groups of order 68

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C68Cyclic group681C6868,2
Dic17Dicyclic group; = C172C4682-Dic1768,1
C17⋊C4The semidirect product of C17 and C4 acting faithfully174+C17:C468,3

Groups of order 69

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C69Cyclic group691C6969,1

Groups of order 70

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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

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C71Cyclic group711C7171,1

Groups of order 72

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C72Cyclic group721C7272,2
C9⋊C8The semidirect product of C9 and C8 acting via C8/C4=C2722C9:C872,1

Groups of order 73

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C73Cyclic group731C7373,1

Groups of order 74

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C74Cyclic group741C7474,2
D37Dihedral group372+D3774,1

Groups of order 75

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C75Cyclic group751C7575,1

Groups of order 76

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C76Cyclic group761C7676,2
Dic19Dicyclic group; = C19C4762-Dic1976,1

Groups of order 77

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C77Cyclic group771C7777,1

Groups of order 78

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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

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C79Cyclic group791C7979,1

Groups of order 80

dρLabelID
C80Cyclic group801C8080,2
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

Groups of order 81

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C81Cyclic group811C8181,1

Groups of order 82

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C82Cyclic group821C8282,2
D41Dihedral group412+D4182,1

Groups of order 83

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C83Cyclic group831C8383,1

Groups of order 84

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C84Cyclic group841C8484,6
Dic21Dicyclic group; = C3Dic7842-Dic2184,5
C7⋊C12The semidirect product of C7 and C12 acting via C12/C2=C6286-C7:C1284,1
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

Groups of order 85

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C85Cyclic group851C8585,1

Groups of order 86

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C86Cyclic group861C8686,2
D43Dihedral group432+D4386,1

Groups of order 87

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C87Cyclic group871C8787,1

Groups of order 88

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C88Cyclic group881C8888,2
C11⋊C8The semidirect product of C11 and C8 acting via C8/C4=C2882C11:C888,1

Groups of order 89

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C89Cyclic group891C8989,1

Groups of order 90

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C90Cyclic group901C9090,4
D45Dihedral group452+D4590,3
C5×D9Direct product of C5 and D9452C5xD990,1
C9×D5Direct product of C9 and D5452C9xD590,2

Groups of order 91

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C91Cyclic group911C9191,1

Groups of order 92

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C92Cyclic group921C9292,2
Dic23Dicyclic group; = C23C4922-Dic2392,1

Groups of order 93

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

Groups of order 94

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C94Cyclic group941C9494,2
D47Dihedral group472+D4794,1

Groups of order 95

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C95Cyclic group951C9595,1

Groups of order 96

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C96Cyclic group961C9696,2
C3⋊C32The semidirect product of C3 and C32 acting via C32/C16=C2962C3:C3296,1

Groups of order 97

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C97Cyclic group971C9797,1

Groups of order 98

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C98Cyclic group981C9898,2
D49Dihedral group492+D4998,1

Groups of order 99

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C99Cyclic group991C9999,1

Groups of order 100

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C100Cyclic group1001C100100,2
Dic25Dicyclic group; = C252C41002-Dic25100,1
C25⋊C4The semidirect product of C25 and C4 acting faithfully254+C25:C4100,3

Groups of order 101

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C101Cyclic group1011C101101,1

Groups of order 102

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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

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C103Cyclic group1031C103103,1

Groups of order 104

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C104Cyclic group1041C104104,2
C13⋊C8The semidirect product of C13 and C8 acting via C8/C2=C41044-C13:C8104,3
C132C8The semidirect product of C13 and C8 acting via C8/C4=C21042C13:2C8104,1

Groups of order 105

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

Groups of order 106

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C106Cyclic group1061C106106,2
D53Dihedral group532+D53106,1

Groups of order 107

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C107Cyclic group1071C107107,1

Groups of order 108

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C108Cyclic group1081C108108,2
Dic27Dicyclic group; = C27C41082-Dic27108,1

Groups of order 109

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C109Cyclic group1091C109109,1

Groups of order 110

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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

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

Groups of order 112

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C112Cyclic group1121C112112,2
C7⋊C16The semidirect product of C7 and C16 acting via C16/C8=C21122C7:C16112,1

Groups of order 113

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C113Cyclic group1131C113113,1

Groups of order 114

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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

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C115Cyclic group1151C115115,1

Groups of order 116

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C116Cyclic group1161C116116,2
Dic29Dicyclic group; = C292C41162-Dic29116,1
C29⋊C4The semidirect product of C29 and C4 acting faithfully294+C29:C4116,3

Groups of order 117

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C117Cyclic group1171C117117,2
C13⋊C9The semidirect product of C13 and C9 acting via C9/C3=C31173C13:C9117,1

Groups of order 118

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C118Cyclic group1181C118118,2
D59Dihedral group592+D59118,1

Groups of order 119

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C119Cyclic group1191C119119,1

Groups of order 120

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C120Cyclic group1201C120120,4
C153C81st semidirect product of C15 and C8 acting via C8/C4=C21202C15:3C8120,3
C15⋊C81st semidirect product of C15 and C8 acting via C8/C2=C41204C15:C8120,7
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

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C121Cyclic group1211C121121,1

Groups of order 122

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C122Cyclic group1221C122122,2
D61Dihedral group612+D61122,1

Groups of order 123

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C123Cyclic group1231C123123,1

Groups of order 124

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C124Cyclic group1241C124124,2
Dic31Dicyclic group; = C31C41242-Dic31124,1

Groups of order 125

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C125Cyclic group1251C125125,1

Groups of order 126

dρLabelID
C126Cyclic group1261C126126,6
D63Dihedral group632+D63126,5
C7⋊C18The semidirect product of C7 and C18 acting via C18/C3=C6636C7:C18126,1
C7×D9Direct product of C7 and D9632C7xD9126,3
C9×D7Direct product of C9 and D7632C9xD7126,4
C2×C7⋊C9Direct product of C2 and C7⋊C91263C2xC7:C9126,2

Groups of order 127

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C127Cyclic group1271C127127,1

Groups of order 128

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C128Cyclic group1281C128128,1

Groups of order 129

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

Groups of order 130

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

Groups of order 131

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C131Cyclic group1311C131131,1

Groups of order 132

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C132Cyclic group1321C132132,4
Dic33Dicyclic group; = C331C41322-Dic33132,3
C11×Dic3Direct product of C11 and Dic31322C11xDic3132,1
C3×Dic11Direct product of C3 and Dic111322C3xDic11132,2

Groups of order 133

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C133Cyclic group1331C133133,1

Groups of order 134

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C134Cyclic group1341C134134,2
D67Dihedral group672+D67134,1

Groups of order 135

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C135Cyclic group1351C135135,1

Groups of order 136

dρLabelID
C136Cyclic group1361C136136,2
C17⋊C8The semidirect product of C17 and C8 acting faithfully178+C17:C8136,12
C173C8The semidirect product of C17 and C8 acting via C8/C4=C21362C17:3C8136,1
C172C8The semidirect product of C17 and C8 acting via C8/C2=C41364-C17:2C8136,3

Groups of order 137

dρLabelID
C137Cyclic group1371C137137,1

Groups of order 138

dρLabelID
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

dρLabelID
C139Cyclic group1391C139139,1

Groups of order 140

dρLabelID
C140Cyclic group1401C140140,4
Dic35Dicyclic group; = C7Dic51402-Dic35140,3
C7⋊F5The semidirect product of C7 and F5 acting via F5/D5=C2354C7:F5140,6
C7×F5Direct product of C7 and F5354C7xF5140,5
C7×Dic5Direct product of C7 and Dic51402C7xDic5140,1
C5×Dic7Direct product of C5 and Dic71402C5xDic7140,2

Groups of order 141

dρLabelID
C141Cyclic group1411C141141,1

Groups of order 142

dρLabelID
C142Cyclic group1421C142142,2
D71Dihedral group712+D71142,1

Groups of order 143

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C143Cyclic group1431C143143,1

Groups of order 144

dρLabelID
C144Cyclic group1441C144144,2
C9⋊C16The semidirect product of C9 and C16 acting via C16/C8=C21442C9:C16144,1

Groups of order 145

dρLabelID
C145Cyclic group1451C145145,1

Groups of order 146

dρLabelID
C146Cyclic group1461C146146,2
D73Dihedral group732+D73146,1

Groups of order 147

dρLabelID
C147Cyclic group1471C147147,2
C49⋊C3The semidirect product of C49 and C3 acting faithfully493C49:C3147,1

Groups of order 148

dρLabelID
C148Cyclic group1481C148148,2
Dic37Dicyclic group; = C372C41482-Dic37148,1
C37⋊C4The semidirect product of C37 and C4 acting faithfully374+C37:C4148,3

Groups of order 149

dρLabelID
C149Cyclic group1491C149149,1

Groups of order 150

dρLabelID
C150Cyclic group1501C150150,4
D75Dihedral group752+D75150,3
S3×C25Direct product of C25 and S3752S3xC25150,1
C3×D25Direct product of C3 and D25752C3xD25150,2

Groups of order 151

dρLabelID
C151Cyclic group1511C151151,1

Groups of order 152

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C152Cyclic group1521C152152,2
C19⋊C8The semidirect product of C19 and C8 acting via C8/C4=C21522C19:C8152,1

Groups of order 153

dρLabelID
C153Cyclic group1531C153153,1

Groups of order 154

dρLabelID
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

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

Groups of order 156

dρLabelID
C156Cyclic group1561C156156,6
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
Dic3×C13Direct product of C13 and Dic31562Dic3xC13156,3
C3×Dic13Direct product of C3 and Dic131562C3xDic13156,4
C3×C13⋊C4Direct product of C3 and C13⋊C4394C3xC13:C4156,9
C4×C13⋊C3Direct product of C4 and C13⋊C3523C4xC13:C3156,2

Groups of order 157

dρLabelID
C157Cyclic group1571C157157,1

Groups of order 158

dρLabelID
C158Cyclic group1581C158158,2
D79Dihedral group792+D79158,1

Groups of order 159

dρLabelID
C159Cyclic group1591C159159,1

Groups of order 160

dρLabelID
C160Cyclic group1601C160160,2
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

Groups of order 161

dρLabelID
C161Cyclic group1611C161161,1

Groups of order 162

dρLabelID
C162Cyclic group1621C162162,2
D81Dihedral group812+D81162,1

Groups of order 163

dρLabelID
C163Cyclic group1631C163163,1

Groups of order 164

dρLabelID
C164Cyclic group1641C164164,2
Dic41Dicyclic group; = C412C41642-Dic41164,1
C41⋊C4The semidirect product of C41 and C4 acting faithfully414+C41:C4164,3

Groups of order 165

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

Groups of order 166

dρLabelID
C166Cyclic group1661C166166,2
D83Dihedral group832+D83166,1

Groups of order 167

dρLabelID
C167Cyclic group1671C167167,1

Groups of order 168

dρLabelID
C168Cyclic group1681C168168,6
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
C8×C7⋊C3Direct product of C8 and C7⋊C3563C8xC7:C3168,2
C7×C3⋊C8Direct product of C7 and C3⋊C81682C7xC3:C8168,3
C3×C7⋊C8Direct product of C3 and C7⋊C81682C3xC7:C8168,4

Groups of order 169

dρLabelID
C169Cyclic group1691C169169,1

Groups of order 170

dρLabelID
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

dρLabelID
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

Groups of order 172

dρLabelID
C172Cyclic group1721C172172,2
Dic43Dicyclic group; = C43C41722-Dic43172,1

Groups of order 173

dρLabelID
C173Cyclic group1731C173173,1

Groups of order 174

dρLabelID
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

dρLabelID
C175Cyclic group1751C175175,1

Groups of order 176

dρLabelID
C176Cyclic group1761C176176,2
C11⋊C16The semidirect product of C11 and C16 acting via C16/C8=C21762C11:C16176,1

Groups of order 177

dρLabelID
C177Cyclic group1771C177177,1

Groups of order 178

dρLabelID
C178Cyclic group1781C178178,2
D89Dihedral group892+D89178,1

Groups of order 179

dρLabelID
C179Cyclic group1791C179179,1

Groups of order 180

dρLabelID
C180Cyclic group1801C180180,4
Dic45Dicyclic group; = C9Dic51802-Dic45180,3
C9⋊F5The semidirect product of C9 and F5 acting via F5/D5=C2454C9:F5180,6
C9×F5Direct product of C9 and F5454C9xF5180,5
C5×Dic9Direct product of C5 and Dic91802C5xDic9180,1
C9×Dic5Direct product of C9 and Dic51802C9xDic5180,2

Groups of order 181

dρLabelID
C181Cyclic group1811C181181,1

Groups of order 182

dρLabelID
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

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

Groups of order 184

dρLabelID
C184Cyclic group1841C184184,2
C23⋊C8The semidirect product of C23 and C8 acting via C8/C4=C21842C23:C8184,1

Groups of order 185

dρLabelID
C185Cyclic group1851C185185,1

Groups of order 186

dρLabelID
C186Cyclic group1861C186186,6
D93Dihedral group932+D93186,5
C31⋊C6The semidirect product of C31 and C6 acting faithfully316+C31:C6186,1
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

dρLabelID
C187Cyclic group1871C187187,1

Groups of order 188

dρLabelID
C188Cyclic group1881C188188,2
Dic47Dicyclic group; = C47C41882-Dic47188,1

Groups of order 189

dρLabelID
C189Cyclic group1891C189189,2
C7⋊C27The semidirect product of C7 and C27 acting via C27/C9=C31893C7:C27189,1

Groups of order 190

dρLabelID
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

dρLabelID
C191Cyclic group1911C191191,1

Groups of order 192

dρLabelID
C192Cyclic group1921C192192,2
C3⋊C64The semidirect product of C3 and C64 acting via C64/C32=C21922C3:C64192,1

Groups of order 193

dρLabelID
C193Cyclic group1931C193193,1

Groups of order 194

dρLabelID
C194Cyclic group1941C194194,2
D97Dihedral group972+D97194,1

Groups of order 195

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

Groups of order 196

dρLabelID
C196Cyclic group1961C196196,2
Dic49Dicyclic group; = C49C41962-Dic49196,1

Groups of order 197

dρLabelID
C197Cyclic group1971C197197,1

Groups of order 198

dρLabelID
C198Cyclic group1981C198198,4
D99Dihedral group992+D99198,3
C11×D9Direct product of C11 and D9992C11xD9198,1
C9×D11Direct product of C9 and D11992C9xD11198,2

Groups of order 199

dρLabelID
C199Cyclic group1991C199199,1

Groups of order 200

dρLabelID
C200Cyclic group2001C200200,2
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

Groups of order 201

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

Groups of order 202

dρLabelID
C202Cyclic group2021C202202,2
D101Dihedral group1012+D101202,1

Groups of order 203

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

Groups of order 204

dρLabelID
C204Cyclic group2041C204204,4
Dic51Dicyclic group; = C513C42042-Dic51204,3
C51⋊C41st semidirect product of C51 and C4 acting faithfully514C51:C4204,6
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

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

Groups of order 206

dρLabelID
C206Cyclic group2061C206206,2
D103Dihedral group1032+D103206,1

Groups of order 207

dρLabelID
C207Cyclic group2071C207207,1

Groups of order 208

dρLabelID
C208Cyclic group2081C208208,2
C13⋊C16The semidirect product of C13 and C16 acting via C16/C4=C42084C13:C16208,3
C132C16The semidirect product of C13 and C16 acting via C16/C8=C22082C13:2C16208,1

Groups of order 209

dρLabelID
C209Cyclic group2091C209209,1

Groups of order 210

dρLabelID
C210Cyclic group2101C210210,12
D105Dihedral group1052+D105210,11
C5⋊F7The semidirect product of C5 and F7 acting via F7/C7⋊C3=C2356+C5:F7210,3
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

dρLabelID
C211Cyclic group2111C211211,1

Groups of order 212

dρLabelID
C212Cyclic group2121C212212,2
Dic53Dicyclic group; = C532C42122-Dic53212,1
C53⋊C4The semidirect product of C53 and C4 acting faithfully534+C53:C4212,3

Groups of order 213

dρLabelID
C213Cyclic group2131C213213,1

Groups of order 214

dρLabelID
C214Cyclic group2141C214214,2
D107Dihedral group1072+D107214,1

Groups of order 215

dρLabelID
C215Cyclic group2151C215215,1

Groups of order 216

dρLabelID
C216Cyclic group2161C216216,2
C27⋊C8The semidirect product of C27 and C8 acting via C8/C4=C22162C27:C8216,1

Groups of order 217

dρLabelID
C217Cyclic group2171C217217,1

Groups of order 218

dρLabelID
C218Cyclic group2181C218218,2
D109Dihedral group1092+D109218,1

Groups of order 219

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

Groups of order 220

dρLabelID
C220Cyclic group2201C220220,6
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
C11×F5Direct product of C11 and F5554C11xF5220,9
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

Groups of order 221

dρLabelID
C221Cyclic group2211C221221,1

Groups of order 222

dρLabelID
C222Cyclic group2221C222222,6
D111Dihedral group1112+D111222,5
C37⋊C6The semidirect product of C37 and C6 acting faithfully376+C37:C6222,1
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

dρLabelID
C223Cyclic group2231C223223,1

Groups of order 224

dρLabelID
C224Cyclic group2241C224224,2
C7⋊C32The semidirect product of C7 and C32 acting via C32/C16=C22242C7:C32224,1

Groups of order 225

dρLabelID
C225Cyclic group2251C225225,1

Groups of order 226

dρLabelID
C226Cyclic group2261C226226,2
D113Dihedral group1132+D113226,1

Groups of order 227

dρLabelID
C227Cyclic group2271C227227,1

Groups of order 228

dρLabelID
C228Cyclic group2281C228228,6
Dic57Dicyclic group; = C571C42282-Dic57228,5
C19⋊C12The semidirect product of C19 and C12 acting via C12/C2=C6766-C19:C12228,1
Dic3×C19Direct product of C19 and Dic32282Dic3xC19228,3
C3×Dic19Direct product of C3 and Dic192282C3xDic19228,4
C4×C19⋊C3Direct product of C4 and C19⋊C3763C4xC19:C3228,2

Groups of order 229

dρLabelID
C229Cyclic group2291C229229,1

Groups of order 230

dρLabelID
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

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

Groups of order 232

dρLabelID
C232Cyclic group2321C232232,2
C29⋊C8The semidirect product of C29 and C8 acting via C8/C2=C42324-C29:C8232,3
C292C8The semidirect product of C29 and C8 acting via C8/C4=C22322C29:2C8232,1

Groups of order 233

dρLabelID
C233Cyclic group2331C233233,1

Groups of order 234

dρLabelID
C234Cyclic group2341C234234,6
D117Dihedral group1172+D117234,5
C13⋊C18The semidirect product of C13 and C18 acting via C18/C3=C61176C13:C18234,1
C13×D9Direct product of C13 and D91172C13xD9234,3
C9×D13Direct product of C9 and D131172C9xD13234,4
C2×C13⋊C9Direct product of C2 and C13⋊C92343C2xC13:C9234,2

Groups of order 235

dρLabelID
C235Cyclic group2351C235235,1

Groups of order 236

dρLabelID
C236Cyclic group2361C236236,2
Dic59Dicyclic group; = C59C42362-Dic59236,1

Groups of order 237

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

Groups of order 238

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

Groups of order 239

dρLabelID
C239Cyclic group2391C239239,1

Groups of order 240

dρLabelID
C240Cyclic group2401C240240,4
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
C5×C3⋊C16Direct product of C5 and C3⋊C162402C5xC3:C16240,1
C3×C5⋊C16Direct product of C3 and C5⋊C162404C3xC5:C16240,5
C3×C52C16Direct product of C3 and C52C162402C3xC5:2C16240,2

Groups of order 241

dρLabelID
C241Cyclic group2411C241241,1

Groups of order 242

dρLabelID
C242Cyclic group2421C242242,2
D121Dihedral group1212+D121242,1

Groups of order 243

dρLabelID
C243Cyclic group2431C243243,1

Groups of order 244

dρLabelID
C244Cyclic group2441C244244,2
Dic61Dicyclic group; = C612C42442-Dic61244,1
C61⋊C4The semidirect product of C61 and C4 acting faithfully614+C61:C4244,3

Groups of order 245

dρLabelID
C245Cyclic group2451C245245,1

Groups of order 246

dρLabelID
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

dρLabelID
C247Cyclic group2471C247247,1

Groups of order 248

dρLabelID
C248Cyclic group2481C248248,2
C31⋊C8The semidirect product of C31 and C8 acting via C8/C4=C22482C31:C8248,1

Groups of order 249

dρLabelID
C249Cyclic group2491C249249,1

Groups of order 250

dρLabelID
C250Cyclic group2501C250250,2
D125Dihedral group1252+D125250,1

Groups of order 251

dρLabelID
C251Cyclic group2511C251251,1

Groups of order 252

dρLabelID
C252Cyclic group2521C252252,6
Dic63Dicyclic group; = C9Dic72522-Dic63252,5
C7⋊C36The semidirect product of C7 and C36 acting via C36/C6=C62526C7:C36252,1
C7×Dic9Direct product of C7 and Dic92522C7xDic9252,3
C9×Dic7Direct product of C9 and Dic72522C9xDic7252,4
C4×C7⋊C9Direct product of C4 and C7⋊C92523C4xC7:C9252,2

Groups of order 253

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

Groups of order 254

dρLabelID
C254Cyclic group2541C254254,2
D127Dihedral group1272+D127254,1

Groups of order 255

dρLabelID
C255Cyclic group2551C255255,1

Groups of order 257

dρLabelID
C257Cyclic group2571C257257,1

Groups of order 258

dρLabelID
C258Cyclic group2581C258258,6
D129Dihedral group1292+D129258,5
C43⋊C6The semidirect product of C43 and C6 acting faithfully436+C43:C6258,1
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

dρLabelID
C259Cyclic group2591C259259,1

Groups of order 260

dρLabelID
C260Cyclic group2601C260260,4
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
C13×F5Direct product of C13 and F5654C13xF5260,7
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

dρLabelID
C261Cyclic group2611C261261,1

Groups of order 262

dρLabelID
C262Cyclic group2621C262262,2
D131Dihedral group1312+D131262,1

Groups of order 263

dρLabelID
C263Cyclic group2631C263263,1

Groups of order 264

dρLabelID
C264Cyclic group2641C264264,4
C33⋊C81st semidirect product of C33 and C8 acting via C8/C4=C22642C33:C8264,3
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

dρLabelID
C265Cyclic group2651C265265,1

Groups of order 266

dρLabelID
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

dρLabelID
C267Cyclic group2671C267267,1

Groups of order 268

dρLabelID
C268Cyclic group2681C268268,2
Dic67Dicyclic group; = C67C42682-Dic67268,1

Groups of order 269

dρLabelID
C269Cyclic group2691C269269,1

Groups of order 270

dρLabelID
C270Cyclic group2701C270270,4
D135Dihedral group1352+D135270,3
C5×D27Direct product of C5 and D271352C5xD27270,1
D5×C27Direct product of C27 and D51352D5xC27270,2

Groups of order 271

dρLabelID
C271Cyclic group2711C271271,1

Groups of order 272

dρLabelID
C272Cyclic group2721C272272,2
F17Frobenius group; = C17C16 = AGL1(𝔽17) = Aut(D17) = Hol(C17)1716+F17272,50
C174C16The semidirect product of C17 and C16 acting via C16/C8=C22722C17:4C16272,1
C173C16The semidirect product of C17 and C16 acting via C16/C4=C42724C17:3C16272,3
C34.C8The non-split extension by C34 of C8 acting faithfully2728-C34.C8272,28

Groups of order 273

dρLabelID
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

dρLabelID
C274Cyclic group2741C274274,2
D137Dihedral group1372+D137274,1

Groups of order 275

dρLabelID
C275Cyclic group2751C275275,2
C11⋊C25The semidirect product of C11 and C25 acting via C25/C5=C52755C11:C25275,1

Groups of order 276

dρLabelID
C276Cyclic group2761C276276,4
Dic69Dicyclic group; = C691C42762-Dic69276,3
Dic3×C23Direct product of C23 and Dic32762Dic3xC23276,1
C3×Dic23Direct product of C3 and Dic232762C3xDic23276,2

Groups of order 277

dρLabelID
C277Cyclic group2771C277277,1

Groups of order 278

dρLabelID
C278Cyclic group2781C278278,2
D139Dihedral group1392+D139278,1

Groups of order 279

dρLabelID
C279Cyclic group2791C279279,2
C31⋊C9The semidirect product of C31 and C9 acting via C9/C3=C32793C31:C9279,1

Groups of order 280

dρLabelID
C280Cyclic group2801C280280,4
C353C81st semidirect product of C35 and C8 acting via C8/C4=C22802C35:3C8280,3
C35⋊C81st semidirect product of C35 and C8 acting via C8/C2=C42804C35:C8280,6
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

dρLabelID
C281Cyclic group2811C281281,1

Groups of order 282

dρLabelID
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

dρLabelID
C283Cyclic group2831C283283,1

Groups of order 284

dρLabelID
C284Cyclic group2841C284284,2
Dic71Dicyclic group; = C71C42842-Dic71284,1

Groups of order 285

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

Groups of order 286

dρLabelID
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

dρLabelID
C287Cyclic group2871C287287,1

Groups of order 288

dρLabelID
C288Cyclic group2881C288288,2
C9⋊C32The semidirect product of C9 and C32 acting via C32/C16=C22882C9:C32288,1

Groups of order 289

dρLabelID
C289Cyclic group2891C289289,1

Groups of order 290

dρLabelID
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

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

Groups of order 292

dρLabelID
C292Cyclic group2921C292292,2
Dic73Dicyclic group; = C732C42922-Dic73292,1
C73⋊C4The semidirect product of C73 and C4 acting faithfully734+C73:C4292,3

Groups of order 293

dρLabelID
C293Cyclic group2931C293293,1

Groups of order 294

dρLabelID
C294Cyclic group2941C294294,6
D147Dihedral group1472+D147294,5
C49⋊C6The semidirect product of C49 and C6 acting faithfully496+C49:C6294,1
S3×C49Direct product of C49 and S31472S3xC49294,3
C3×D49Direct product of C3 and D491472C3xD49294,4
C2×C49⋊C3Direct product of C2 and C49⋊C3983C2xC49:C3294,2

Groups of order 295

dρLabelID
C295Cyclic group2951C295295,1

Groups of order 296

dρLabelID
C296Cyclic group2961C296296,2
C37⋊C8The semidirect product of C37 and C8 acting via C8/C2=C42964-C37:C8296,3
C372C8The semidirect product of C37 and C8 acting via C8/C4=C22962C37:2C8296,1

Groups of order 297

dρLabelID
C297Cyclic group2971C297297,1

Groups of order 298

dρLabelID
C298Cyclic group2981C298298,2
D149Dihedral group1492+D149298,1

Groups of order 299

dρLabelID
C299Cyclic group2991C299299,1

Groups of order 300

dρLabelID
C300Cyclic group3001C300300,4
Dic75Dicyclic group; = C753C43002-Dic75300,3
C75⋊C41st semidirect product of C75 and C4 acting faithfully754C75:C4300,6
Dic3×C25Direct product of C25 and Dic33002Dic3xC25300,1
C3×Dic25Direct product of C3 and Dic253002C3xDic25300,2
C3×C25⋊C4Direct product of C3 and C25⋊C4754C3xC25:C4300,5

Groups of order 301

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

Groups of order 302

dρLabelID
C302Cyclic group3021C302302,2
D151Dihedral group1512+D151302,1

Groups of order 303

dρLabelID
C303Cyclic group3031C303303,1

Groups of order 304

dρLabelID
C304Cyclic group3041C304304,2
C19⋊C16The semidirect product of C19 and C16 acting via C16/C8=C23042C19:C16304,1

Groups of order 305

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

Groups of order 306

dρLabelID
C306Cyclic group3061C306306,4
D153Dihedral group1532+D153306,3
C17×D9Direct product of C17 and D91532C17xD9306,1
C9×D17Direct product of C9 and D171532C9xD17306,2

Groups of order 307

dρLabelID
C307Cyclic group3071C307307,1

Groups of order 308

dρLabelID
C308Cyclic group3081C308308,4
Dic77Dicyclic group; = C771C43082-Dic77308,3
C11×Dic7Direct product of C11 and Dic73082C11xDic7308,1
C7×Dic11Direct product of C7 and Dic113082C7xDic11308,2

Groups of order 309

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

Groups of order 310

dρLabelID
C310Cyclic group3101C310310,6
D155Dihedral group1552+D155310,5
C31⋊C10The semidirect product of C31 and C10 acting faithfully3110+C31:C10310,1
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

dρLabelID
C311Cyclic group3111C311311,1

Groups of order 312

dρLabelID
C312Cyclic group3121C312312,6
C13⋊C24The semidirect product of C13 and C24 acting via C24/C2=C1210412-C13:C24312,7
C132C24The semidirect product of C13 and C24 acting via C24/C4=C61046C13:2C24312,1
C393C81st semidirect product of C39 and C8 acting via C8/C4=C23122C39:3C8312,5
C39⋊C81st semidirect product of C39 and C8 acting via C8/C2=C43124C39:C8312,14
C8×C13⋊C3Direct product of C8 and C13⋊C31043C8xC13:C3312,2
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

Groups of order 313

dρLabelID
C313Cyclic group3131C313313,1

Groups of order 314

dρLabelID
C314Cyclic group3141C314314,2
D157Dihedral group1572+D157314,1

Groups of order 315

dρLabelID
C315Cyclic group3151C315315,2
C5×C7⋊C9Direct product of C5 and C7⋊C93153C5xC7:C9315,1

Groups of order 316

dρLabelID
C316Cyclic group3161C316316,2
Dic79Dicyclic group; = C79C43162-Dic79316,1

Groups of order 317

dρLabelID
C317Cyclic group3171C317317,1

Groups of order 318

dρLabelID
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

dρLabelID
C319Cyclic group3191C319319,1

Groups of order 320

dρLabelID
C320Cyclic group3201C320320,2
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

Groups of order 321

dρLabelID
C321Cyclic group3211C321321,1

Groups of order 322

dρLabelID
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

dρLabelID
C323Cyclic group3231C323323,1

Groups of order 324

dρLabelID
C324Cyclic group3241C324324,2
Dic81Dicyclic group; = C81C43242-Dic81324,1

Groups of order 325

dρLabelID
C325Cyclic group3251C325325,1

Groups of order 326

dρLabelID
C326Cyclic group3261C326326,2
D163Dihedral group1632+D163326,1

Groups of order 327

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

Groups of order 328

dρLabelID
C328Cyclic group3281C328328,2
C41⋊C8The semidirect product of C41 and C8 acting faithfully418+C41:C8328,12
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

Groups of order 329

dρLabelID
C329Cyclic group3291C329329,1

Groups of order 330

dρLabelID
C330Cyclic group3301C330330,12
D165Dihedral group1652+D165330,11
C3⋊F11The semidirect product of C3 and F11 acting via F11/C11⋊C5=C23310+C3:F11330,3
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

dρLabelID
C331Cyclic group3311C331331,1

Groups of order 332

dρLabelID
C332Cyclic group3321C332332,2
Dic83Dicyclic group; = C83C43322-Dic83332,1

Groups of order 333

dρLabelID
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

Groups of order 334

dρLabelID
C334Cyclic group3341C334334,2
D167Dihedral group1672+D167334,1

Groups of order 335

dρLabelID
C335Cyclic group3351C335335,1

Groups of order 336

dρLabelID
C336Cyclic group3361C336336,6
C7⋊C48The semidirect product of C7 and C48 acting via C48/C8=C61126C7:C48336,1
C21⋊C161st semidirect product of C21 and C16 acting via C16/C8=C23362C21:C16336,5
C16×C7⋊C3Direct product of C16 and C7⋊C31123C16xC7:C3336,2
C7×C3⋊C16Direct product of C7 and C3⋊C163362C7xC3:C16336,3
C3×C7⋊C16Direct product of C3 and C7⋊C163362C3xC7:C16336,4

Groups of order 337

dρLabelID
C337Cyclic group3371C337337,1

Groups of order 338

dρLabelID
C338Cyclic group3381C338338,2
D169Dihedral group1692+D169338,1

Groups of order 339

dρLabelID
C339Cyclic group3391C339339,1

Groups of order 340

dρLabelID
C340Cyclic group3401C340340,4
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
C17×F5Direct product of C17 and F5854C17xF5340,7
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

dρLabelID
C341Cyclic group3411C341341,1

Groups of order 342

dρLabelID
C342Cyclic group3421C342342,6
D171Dihedral group1712+D171342,5
F19Frobenius group; = C19C18 = AGL1(𝔽19) = Aut(D19) = Hol(C19)1918+F19342,7
C57.C6The non-split extension by C57 of C6 acting faithfully1716C57.C6342,1
D9×C19Direct product of C19 and D91712D9xC19342,3
C9×D19Direct product of C9 and D191712C9xD19342,4
C2×C19⋊C9Direct product of C2 and C19⋊C9389C2xC19:C9342,8
C2×C192C9Direct product of C2 and C192C93423C2xC19:2C9342,2

Groups of order 343

dρLabelID
C343Cyclic group3431C343343,1

Groups of order 344

dρLabelID
C344Cyclic group3441C344344,2
C43⋊C8The semidirect product of C43 and C8 acting via C8/C4=C23442C43:C8344,1

Groups of order 345

dρLabelID
C345Cyclic group3451C345345,1

Groups of order 346

dρLabelID
C346Cyclic group3461C346346,2
D173Dihedral group1732+D173346,1

Groups of order 347

dρLabelID
C347Cyclic group3471C347347,1

Groups of order 348

dρLabelID
C348Cyclic group3481C348348,4
Dic87Dicyclic group; = C873C43482-Dic87348,3
C87⋊C41st semidirect product of C87 and C4 acting faithfully874C87:C4348,6
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

dρLabelID
C349Cyclic group3491C349349,1

Groups of order 350

dρLabelID
C350Cyclic group3501C350350,4
D175Dihedral group1752+D175350,3
C7×D25Direct product of C7 and D251752C7xD25350,1
D7×C25Direct product of C25 and D71752D7xC25350,2

Groups of order 351

dρLabelID
C351Cyclic group3511C351351,2
C13⋊C27The semidirect product of C13 and C27 acting via C27/C9=C33513C13:C27351,1

Groups of order 352

dρLabelID
C352Cyclic group3521C352352,2
C11⋊C32The semidirect product of C11 and C32 acting via C32/C16=C23522C11:C32352,1

Groups of order 353

dρLabelID
C353Cyclic group3531C353353,1

Groups of order 354

dρLabelID
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

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

Groups of order 356

dρLabelID
C356Cyclic group3561C356356,2
Dic89Dicyclic group; = C892C43562-Dic89356,1
C89⋊C4The semidirect product of C89 and C4 acting faithfully894+C89:C4356,3

Groups of order 357

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

Groups of order 358

dρLabelID
C358Cyclic group3581C358358,2
D179Dihedral group1792+D179358,1

Groups of order 359

dρLabelID
C359Cyclic group3591C359359,1

Groups of order 360

dρLabelID
C360Cyclic group3601C360360,4
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
C5×C9⋊C8Direct product of C5 and C9⋊C83602C5xC9:C8360,1
C9×C5⋊C8Direct product of C9 and C5⋊C83604C9xC5:C8360,5
C9×C52C8Direct product of C9 and C52C83602C9xC5:2C8360,2

Groups of order 361

dρLabelID
C361Cyclic group3611C361361,1

Groups of order 362

dρLabelID
C362Cyclic group3621C362362,2
D181Dihedral group1812+D181362,1

Groups of order 363

dρLabelID
C363Cyclic group3631C363363,1

Groups of order 364

dρLabelID
C364Cyclic group3641C364364,4
Dic91Dicyclic group; = C913C43642-Dic91364,3
C91⋊C41st semidirect product of C91 and C4 acting faithfully914C91:C4364,6
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

dρLabelID
C365Cyclic group3651C365365,1

Groups of order 366

dρLabelID
C366Cyclic group3661C366366,6
D183Dihedral group1832+D183366,5
C61⋊C6The semidirect product of C61 and C6 acting faithfully616+C61:C6366,1
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

dρLabelID
C367Cyclic group3671C367367,1

Groups of order 368

dρLabelID
C368Cyclic group3681C368368,2
C23⋊C16The semidirect product of C23 and C16 acting via C16/C8=C23682C23:C16368,1

Groups of order 369

dρLabelID
C369Cyclic group3691C369369,1

Groups of order 370

dρLabelID
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

dρLabelID
C371Cyclic group3711C371371,1

Groups of order 372

dρLabelID
C372Cyclic group3721C372372,6
Dic93Dicyclic group; = C931C43722-Dic93372,5
C31⋊C12The semidirect product of C31 and C12 acting via C12/C2=C61246-C31:C12372,1
Dic3×C31Direct product of C31 and Dic33722Dic3xC31372,3
C3×Dic31Direct product of C3 and Dic313722C3xDic31372,4
C4×C31⋊C3Direct product of C4 and C31⋊C31243C4xC31:C3372,2

Groups of order 373

dρLabelID
C373Cyclic group3731C373373,1

Groups of order 374

dρLabelID
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

dρLabelID
C375Cyclic group3751C375375,1

Groups of order 376

dρLabelID
C376Cyclic group3761C376376,2
C47⋊C8The semidirect product of C47 and C8 acting via C8/C4=C23762C47:C8376,1

Groups of order 377

dρLabelID
C377Cyclic group3771C377377,1

Groups of order 378

dρLabelID
C378Cyclic group3781C378378,6
D189Dihedral group1892+D189378,5
C7⋊C54The semidirect product of C7 and C54 acting via C54/C9=C61896C7:C54378,1
C7×D27Direct product of C7 and D271892C7xD27378,3
D7×C27Direct product of C27 and D71892D7xC27378,4
C2×C7⋊C27Direct product of C2 and C7⋊C273783C2xC7:C27378,2

Groups of order 379

dρLabelID
C379Cyclic group3791C379379,1

Groups of order 380

dρLabelID
C380Cyclic group3801C380380,4
Dic95Dicyclic group; = C953C43802-Dic95380,3
C19⋊F5The semidirect product of C19 and F5 acting via F5/D5=C2954C19:F5380,6
C19×F5Direct product of C19 and F5954C19xF5380,5
C19×Dic5Direct product of C19 and Dic53802C19xDic5380,1
C5×Dic19Direct product of C5 and Dic193802C5xDic19380,2

Groups of order 381

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

Groups of order 382

dρLabelID
C382Cyclic group3821C382382,2
D191Dihedral group1912+D191382,1

Groups of order 383

dρLabelID
C383Cyclic group3831C383383,1

Groups of order 385

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

Groups of order 386

dρLabelID
C386Cyclic group3861C386386,2
D193Dihedral group1932+D193386,1

Groups of order 387

dρLabelID
C387Cyclic group3871C387387,2
C43⋊C9The semidirect product of C43 and C9 acting via C9/C3=C33873C43:C9387,1

Groups of order 388

dρLabelID
C388Cyclic group3881C388388,2
Dic97Dicyclic group; = C972C43882-Dic97388,1
C97⋊C4The semidirect product of C97 and C4 acting faithfully974+C97:C4388,3

Groups of order 389

dρLabelID
C389Cyclic group3891C389389,1

Groups of order 390

dρLabelID
C390Cyclic group3901C390390,12
D195Dihedral group1952+D195390,11
D65⋊C3The semidirect product of D65 and C3 acting faithfully656+D65:C3390,3
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

dρLabelID
C391Cyclic group3911C391391,1

Groups of order 392

dρLabelID
C392Cyclic group3921C392392,2
C49⋊C8The semidirect product of C49 and C8 acting via C8/C4=C23922C49:C8392,1

Groups of order 393

dρLabelID
C393Cyclic group3931C393393,1

Groups of order 394

dρLabelID
C394Cyclic group3941C394394,2
D197Dihedral group1972+D197394,1

Groups of order 395

dρLabelID
C395Cyclic group3951C395395,1

Groups of order 396

dρLabelID
C396Cyclic group3961C396396,4
Dic99Dicyclic group; = C991C43962-Dic99396,3
C11×Dic9Direct product of C11 and Dic93962C11xDic9396,1
C9×Dic11Direct product of C9 and Dic113962C9xDic11396,2

Groups of order 397

dρLabelID
C397Cyclic group3971C397397,1

Groups of order 398

dρLabelID
C398Cyclic group3981C398398,2
D199Dihedral group1992+D199398,1

Groups of order 399

dρLabelID
C399Cyclic group3991C399399,5
C133⋊C33rd semidirect product of C133 and C3 acting faithfully1333C133:C3399,3
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

dρLabelID
C400Cyclic group4001C400400,2
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

Groups of order 401

dρLabelID
C401Cyclic group4011C401401,1

Groups of order 402

dρLabelID
C402Cyclic group4021C402402,6
D201Dihedral group2012+D201402,5
C67⋊C6The semidirect product of C67 and C6 acting faithfully676+C67:C6402,1
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

dρLabelID
C403Cyclic group4031C403403,1

Groups of order 404

dρLabelID
C404Cyclic group4041C404404,2
Dic101Dicyclic group; = C1012C44042-Dic101404,1
C101⋊C4The semidirect product of C101 and C4 acting faithfully1014+C101:C4404,3

Groups of order 405

dρLabelID
C405Cyclic group4051C405405,1

Groups of order 406

dρLabelID
C406Cyclic group4061C406406,6
D203Dihedral group2032+D203406,5
C29⋊C14The semidirect product of C29 and C14 acting faithfully2914+C29:C14406,1
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

dρLabelID
C407Cyclic group4071C407407,1

Groups of order 408

dρLabelID
C408Cyclic group4081C408408,4
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
C3×C17⋊C8Direct product of C3 and C17⋊C8518C3xC17:C8408,33
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

dρLabelID
C409Cyclic group4091C409409,1

Groups of order 410

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

dρLabelID
C411Cyclic group4111C411411,1

Groups of order 412

dρLabelID
C412Cyclic group4121C412412,2
Dic103Dicyclic group; = C103C44122-Dic103412,1

Groups of order 413

dρLabelID
C413Cyclic group4131C413413,1

Groups of order 414

dρLabelID
C414Cyclic group4141C414414,4
D207Dihedral group2072+D207414,3
D9×C23Direct product of C23 and D92072D9xC23414,1
C9×D23Direct product of C9 and D232072C9xD23414,2

Groups of order 415

dρLabelID
C415Cyclic group4151C415415,1

Groups of order 416

dρLabelID
C416Cyclic group4161C416416,2
C13⋊C32The semidirect product of C13 and C32 acting via C32/C8=C44164C13:C32416,3
C132C32The semidirect product of C13 and C32 acting via C32/C16=C24162C13:2C32416,1

Groups of order 417

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

Groups of order 418

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

Groups of order 419

dρLabelID
C419Cyclic group4191C419419,1

Groups of order 420

dρLabelID
C420Cyclic group4201C420420,12
Dic105Dicyclic group; = C7Dic154202-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
F5×C21Direct product of C21 and F51054F5xC21420,20
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
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

Groups of order 421

dρLabelID
C421Cyclic group4211C421421,1

Groups of order 422

dρLabelID
C422Cyclic group4221C422422,2
D211Dihedral group2112+D211422,1

Groups of order 423

dρLabelID
C423Cyclic group4231C423423,1

Groups of order 424

dρLabelID
C424Cyclic group4241C424424,2
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

Groups of order 425

dρLabelID
C425Cyclic group4251C425425,1

Groups of order 426

dρLabelID
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

dρLabelID
C427Cyclic group4271C427427,1

Groups of order 428

dρLabelID
C428Cyclic group4281C428428,2
Dic107Dicyclic group; = C107C44282-Dic107428,1

Groups of order 429

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

Groups of order 430

dρLabelID
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

dρLabelID
C431Cyclic group4311C431431,1

Groups of order 432

dρLabelID
C432Cyclic group4321C432432,2
C27⋊C16The semidirect product of C27 and C16 acting via C16/C8=C24322C27:C16432,1

Groups of order 433

dρLabelID
C433Cyclic group4331C433433,1

Groups of order 434

dρLabelID
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

dρLabelID
C435Cyclic group4351C435435,1

Groups of order 436

dρLabelID
C436Cyclic group4361C436436,2
Dic109Dicyclic group; = C1092C44362-Dic109436,1
C109⋊C4The semidirect product of C109 and C4 acting faithfully1094+C109:C4436,3

Groups of order 437

dρLabelID
C437Cyclic group4371C437437,1

Groups of order 438

dρLabelID
C438Cyclic group4381C438438,6
D219Dihedral group2192+D219438,5
C73⋊C6The semidirect product of C73 and C6 acting faithfully736+C73:C6438,1
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

dρLabelID
C439Cyclic group4391C439439,1

Groups of order 440

dρLabelID
C440Cyclic group4401C440440,6
C11⋊C40The semidirect product of C11 and C40 acting via C40/C4=C108810C11:C40440,1
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
C8×C11⋊C5Direct product of C8 and C11⋊C5885C8xC11:C5440,2
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

Groups of order 441

dρLabelID
C441Cyclic group4411C441441,2
C49⋊C9The semidirect product of C49 and C9 acting via C9/C3=C34413C49:C9441,1

Groups of order 442

dρLabelID
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

dρLabelID
C443Cyclic group4431C443443,1

Groups of order 444

dρLabelID
C444Cyclic group4441C444444,6
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
Dic3×C37Direct product of C37 and Dic34442Dic3xC37444,3
C3×Dic37Direct product of C3 and Dic374442C3xDic37444,4
C3×C37⋊C4Direct product of C3 and C37⋊C41114C3xC37:C4444,9
C4×C37⋊C3Direct product of C4 and C37⋊C31483C4xC37:C3444,2

Groups of order 445

dρLabelID
C445Cyclic group4451C445445,1

Groups of order 446

dρLabelID
C446Cyclic group4461C446446,2
D223Dihedral group2232+D223446,1

Groups of order 447

dρLabelID
C447Cyclic group4471C447447,1

Groups of order 448

dρLabelID
C448Cyclic group4481C448448,2
C7⋊C64The semidirect product of C7 and C64 acting via C64/C32=C24482C7:C64448,1

Groups of order 449

dρLabelID
C449Cyclic group4491C449449,1

Groups of order 450

dρLabelID
C450Cyclic group4501C450450,4
D225Dihedral group2252+D225450,3
D9×C25Direct product of C25 and D92252D9xC25450,1
C9×D25Direct product of C9 and D252252C9xD25450,2

Groups of order 451

dρLabelID
C451Cyclic group4511C451451,1

Groups of order 452

dρLabelID
C452Cyclic group4521C452452,2
Dic113Dicyclic group; = C1132C44522-Dic113452,1
C113⋊C4The semidirect product of C113 and C4 acting faithfully1134+C113:C4452,3

Groups of order 453

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

Groups of order 454

dρLabelID
C454Cyclic group4541C454454,2
D227Dihedral group2272+D227454,1

Groups of order 455

dρLabelID
C455Cyclic group4551C455455,1

Groups of order 456

dρLabelID
C456Cyclic group4561C456456,6
C19⋊C24The semidirect product of C19 and C24 acting via C24/C4=C61526C19:C24456,1
C57⋊C81st semidirect product of C57 and C8 acting via C8/C4=C24562C57:C8456,5
C8×C19⋊C3Direct product of C8 and C19⋊C31523C8xC19:C3456,2
C19×C3⋊C8Direct product of C19 and C3⋊C84562C19xC3:C8456,3
C3×C19⋊C8Direct product of C3 and C19⋊C84562C3xC19:C8456,4

Groups of order 457

dρLabelID
C457Cyclic group4571C457457,1

Groups of order 458

dρLabelID
C458Cyclic group4581C458458,2
D229Dihedral group2292+D229458,1

Groups of order 459

dρLabelID
C459Cyclic group4591C459459,1

Groups of order 460

dρLabelID
C460Cyclic group4601C460460,4
Dic115Dicyclic group; = C23Dic54602-Dic115460,3
C23⋊F5The semidirect product of C23 and F5 acting via F5/D5=C21154C23:F5460,6
F5×C23Direct product of C23 and F51154F5xC23460,5
Dic5×C23Direct product of C23 and Dic54602Dic5xC23460,1
C5×Dic23Direct product of C5 and Dic234602C5xDic23460,2

Groups of order 461

dρLabelID
C461Cyclic group4611C461461,1

Groups of order 462

dρLabelID
C462Cyclic group4621C462462,12
D231Dihedral group2312+D231462,11
C11⋊F7The semidirect product of C11 and F7 acting via F7/C7⋊C3=C2776+C11:F7462,3
C11×F7Direct product of C11 and F7776C11xF7462,2
S3×C77Direct product of C77 and S32312S3xC77462,8
D7×C33Direct product of C33 and D72312D7xC33462,6
C3×D77Direct product of C3 and D772312C3xD77462,7
C7×D33Direct product of C7 and D332312C7xD33462,9
C21×D11Direct product of C21 and D112312C21xD11462,5
C11×D21Direct product of C11 and D212312C11xD21462,10
C7⋊C3×D11Direct product of C7⋊C3 and D11776C7:C3xD11462,1
C7⋊C3×C22Direct product of C22 and C7⋊C31543C7:C3xC22462,4

Groups of order 463

dρLabelID
C463Cyclic group4631C463463,1

Groups of order 464

dρLabelID
C464Cyclic group4641C464464,2
C29⋊C16The semidirect product of C29 and C16 acting via C16/C4=C44644C29:C16464,3
C292C16The semidirect product of C29 and C16 acting via C16/C8=C24642C29:2C16464,1

Groups of order 465

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

Groups of order 466

dρLabelID
C466Cyclic group4661C466466,2
D233Dihedral group2332+D233466,1

Groups of order 467

dρLabelID
C467Cyclic group4671C467467,1

Groups of order 468

dρLabelID
C468Cyclic group4681C468468,6
Dic117Dicyclic group; = C9Dic134682-Dic117468,5
C13⋊C36The semidirect product of C13 and C36 acting via C36/C3=C1211712C13:C36468,7
C13⋊Dic9The semidirect product of C13 and Dic9 acting via Dic9/C9=C41174C13:Dic9468,10
C132C36The semidirect product of C13 and C36 acting via C36/C6=C64686C13:2C36468,1
C13×Dic9Direct product of C13 and Dic94682C13xDic9468,3
C9×Dic13Direct product of C9 and Dic134682C9xDic13468,4
C9×C13⋊C4Direct product of C9 and C13⋊C41174C9xC13:C4468,9
C4×C13⋊C9Direct product of C4 and C13⋊C94683C4xC13:C9468,2

Groups of order 469

dρLabelID
C469Cyclic group4691C469469,1

Groups of order 470

dρLabelID
C470Cyclic group4701C470470,4
D235Dihedral group2352+D235470,3
D5×C47Direct product of C47 and D52352D5xC47470,1
C5×D47Direct product of C5 and D472352C5xD47470,2

Groups of order 471

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

Groups of order 472

dρLabelID
C472Cyclic group4721C472472,2
C59⋊C8The semidirect product of C59 and C8 acting via C8/C4=C24722C59:C8472,1

Groups of order 473

dρLabelID
C473Cyclic group4731C473473,1

Groups of order 474

dρLabelID
C474Cyclic group4741C474474,6
D237Dihedral group2372+D237474,5
C79⋊C6The semidirect product of C79 and C6 acting faithfully796+C79:C6474,1
S3×C79Direct product of C79 and S32372S3xC79474,3
C3×D79Direct product of C3 and D792372C3xD79474,4
C2×C79⋊C3Direct product of C2 and C79⋊C31583C2xC79:C3474,2

Groups of order 475

dρLabelID
C475Cyclic group4751C475475,1

Groups of order 476

dρLabelID
C476Cyclic group4761C476476,4
Dic119Dicyclic group; = C7Dic174762-Dic119476,3
C17⋊Dic7The semidirect product of C17 and Dic7 acting via Dic7/C7=C41194C17:Dic7476,6
C17×Dic7Direct product of C17 and Dic74762C17xDic7476,1
C7×Dic17Direct product of C7 and Dic174762C7xDic17476,2
C7×C17⋊C4Direct product of C7 and C17⋊C41194C7xC17:C4476,5

Groups of order 477

dρLabelID
C477Cyclic group4771C477477,1

Groups of order 478

dρLabelID
C478Cyclic group4781C478478,2
D239Dihedral group2392+D239478,1

Groups of order 479

dρLabelID
C479Cyclic group4791C479479,1

Groups of order 480

dρLabelID
C480Cyclic group4801C480480,4
C153C321st semidirect product of C15 and C32 acting via C32/C16=C24802C15:3C32480,3
C15⋊C321st semidirect product of C15 and C32 acting via C32/C8=C44804C15:C32480,6
C5×C3⋊C32Direct product of C5 and C3⋊C324802C5xC3:C32480,1
C3×C5⋊C32Direct product of C3 and C5⋊C324804C3xC5:C32480,5
C3×C52C32Direct product of C3 and C52C324802C3xC5:2C32480,2

Groups of order 481

dρLabelID
C481Cyclic group4811C481481,1

Groups of order 482

dρLabelID
C482Cyclic group4821C482482,2
D241Dihedral group2412+D241482,1

Groups of order 483

dρLabelID
C483Cyclic group4831C483483,2
C7⋊C3×C23Direct product of C23 and C7⋊C31613C7:C3xC23483,1

Groups of order 484

dρLabelID
C484Cyclic group4841C484484,2
Dic121Dicyclic group; = C121C44842-Dic121484,1

Groups of order 485

dρLabelID
C485Cyclic group4851C485485,1

Groups of order 486

dρLabelID
C486Cyclic group4861C486486,2
D243Dihedral group2432+D243486,1

Groups of order 487

dρLabelID
C487Cyclic group4871C487487,1

Groups of order 488

dρLabelID
C488Cyclic group4881C488488,2
C61⋊C8The semidirect product of C61 and C8 acting via C8/C2=C44884-C61:C8488,3
C612C8The semidirect product of C61 and C8 acting via C8/C4=C24882C61:2C8488,1

Groups of order 489

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

Groups of order 490

dρLabelID
C490Cyclic group4901C490490,4
D245Dihedral group2452+D245490,3
D5×C49Direct product of C49 and D52452D5xC49490,1
C5×D49Direct product of C5 and D492452C5xD49490,2

Groups of order 491

dρLabelID
C491Cyclic group4911C491491,1

Groups of order 492

dρLabelID
C492Cyclic group4921C492492,4
Dic123Dicyclic group; = C3Dic414922-Dic123492,3
C41⋊Dic3The semidirect product of C41 and Dic3 acting via Dic3/C3=C41234C41:Dic3492,6
Dic3×C41Direct product of C41 and Dic34922Dic3xC41492,1
C3×Dic41Direct product of C3 and Dic414922C3xDic41492,2
C3×C41⋊C4Direct product of C3 and C41⋊C41234C3xC41:C4492,5

Groups of order 493

dρLabelID
C493Cyclic group4931C493493,1

Groups of order 494

dρLabelID
C494Cyclic group4941C494494,4
D247Dihedral group2472+D247494,3
C19×D13Direct product of C19 and D132472C19xD13494,1
C13×D19Direct product of C13 and D192472C13xD19494,2

Groups of order 495

dρLabelID
C495Cyclic group4951C495495,2
C9×C11⋊C5Direct product of C9 and C11⋊C5995C9xC11:C5495,1

Groups of order 496

dρLabelID
C496Cyclic group4961C496496,2
C31⋊C16The semidirect product of C31 and C16 acting via C16/C8=C24962C31:C16496,1

Groups of order 497

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

Groups of order 498

dρLabelID
C498Cyclic group4981C498498,4
D249Dihedral group2492+D249498,3
S3×C83Direct product of C83 and S32492S3xC83498,1
C3×D83Direct product of C3 and D832492C3xD83498,2

Groups of order 499

dρLabelID
C499Cyclic group4991C499499,1

Groups of order 500

dρLabelID
C500Cyclic group5001C500500,2
Dic125Dicyclic group; = C1252C45002-Dic125500,1
C125⋊C4The semidirect product of C125 and C4 acting faithfully1254+C125:C4500,3
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