Z-groups

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

Groups of order 1

		d	ρ	Label	ID
C₁	Trivial group	1	1+	C1	1,1

Groups of order 2

		d	ρ	Label	ID
C₂	Cyclic group	2	1+	C2	2,1

Groups of order 3

		d	ρ	Label	ID
C₃	Cyclic group; = A₃ = triangle rotations	3	1	C3	3,1

Groups of order 4

		d	ρ	Label	ID
C₄	Cyclic group; = square rotations	4	1	C4	4,1

Groups of order 5

		d	ρ	Label	ID
C₅	Cyclic group; = pentagon rotations	5	1	C5	5,1

Groups of order 6

		d	ρ	Label	ID
C₆	Cyclic group; = hexagon rotations	6	1	C6	6,2
S₃	Symmetric group on 3 letters; = D₃ = GL₂(𝔽₂) = triangle symmetries = 1^st non-abelian group	3	2+	S3	6,1

Groups of order 7

		d	ρ	Label	ID
C₇	Cyclic group	7	1	C7	7,1

Groups of order 8

		d	ρ	Label	ID
C₈	Cyclic group	8	1	C8	8,1

Groups of order 9

		d	ρ	Label	ID
C₉	Cyclic group	9	1	C9	9,1

Groups of order 10

		d	ρ	Label	ID
C₁₀	Cyclic group	10	1	C10	10,2
D₅	Dihedral group; = pentagon symmetries	5	2+	D5	10,1

Groups of order 11

		d	ρ	Label	ID
C₁₁	Cyclic group	11	1	C11	11,1

Groups of order 12

		d	ρ	Label	ID
C₁₂	Cyclic group	12	1	C12	12,2
Dic₃	Dicyclic group; = C₃ ⋊C₄	12	2-	Dic3	12,1

Groups of order 13

		d	ρ	Label	ID
C₁₃	Cyclic group	13	1	C13	13,1

Groups of order 14

		d	ρ	Label	ID
C₁₄	Cyclic group	14	1	C14	14,2
D₇	Dihedral group	7	2+	D7	14,1

Groups of order 15

		d	ρ	Label	ID
C₁₅	Cyclic group	15	1	C15	15,1

Groups of order 16

		d	ρ	Label	ID
C₁₆	Cyclic group	16	1	C16	16,1

Groups of order 17

		d	ρ	Label	ID
C₁₇	Cyclic group	17	1	C17	17,1

Groups of order 18

		d	ρ	Label	ID
C₁₈	Cyclic group	18	1	C18	18,2
D₉	Dihedral group	9	2+	D9	18,1

Groups of order 19

		d	ρ	Label	ID
C₁₉	Cyclic group	19	1	C19	19,1

Groups of order 20

		d	ρ	Label	ID
C₂₀	Cyclic group	20	1	C20	20,2
F₅	Frobenius group; = C₅ ⋊C₄ = AGL₁(𝔽₅) = Aut(D₅) = Hol(C₅) = Sz(2)	5	4+	F5	20,3
Dic₅	Dicyclic group; = C₅ ⋊₂ C₄	20	2-	Dic5	20,1

Groups of order 21

		d	ρ	Label	ID
C₂₁	Cyclic group	21	1	C21	21,2
C₇⋊C₃	The semidirect product of C₇ and C₃ acting faithfully	7	3	C7:C3	21,1

Groups of order 22

		d	ρ	Label	ID
C₂₂	Cyclic group	22	1	C22	22,2
D₁₁	Dihedral group	11	2+	D11	22,1

Groups of order 23

		d	ρ	Label	ID
C₂₃	Cyclic group	23	1	C23	23,1

Groups of order 24

		d	ρ	Label	ID
C₂₄	Cyclic group	24	1	C24	24,2
C₃⋊C₈	The semidirect product of C₃ and C₈ acting via C₈/C₄=C₂	24	2	C3:C8	24,1

Groups of order 25

		d	ρ	Label	ID
C₂₅	Cyclic group	25	1	C25	25,1

Groups of order 26

		d	ρ	Label	ID
C₂₆	Cyclic group	26	1	C26	26,2
D₁₃	Dihedral group	13	2+	D13	26,1

Groups of order 27

		d	ρ	Label	ID
C₂₇	Cyclic group	27	1	C27	27,1

Groups of order 28

		d	ρ	Label	ID
C₂₈	Cyclic group	28	1	C28	28,2
Dic₇	Dicyclic group; = C₇ ⋊C₄	28	2-	Dic7	28,1

Groups of order 29

		d	ρ	Label	ID
C₂₉	Cyclic group	29	1	C29	29,1

Groups of order 30

		d	ρ	Label	ID
C₃₀	Cyclic group	30	1	C30	30,4
D₁₅	Dihedral group	15	2+	D15	30,3
C₅×S₃	Direct product of C₅ and S₃	15	2	C5xS3	30,1
C₃×D₅	Direct product of C₃ and D₅	15	2	C3xD5	30,2

Groups of order 31

		d	ρ	Label	ID
C₃₁	Cyclic group	31	1	C31	31,1

Groups of order 32

		d	ρ	Label	ID
C₃₂	Cyclic group	32	1	C32	32,1

Groups of order 33

		d	ρ	Label	ID
C₃₃	Cyclic group	33	1	C33	33,1

Groups of order 34

		d	ρ	Label	ID
C₃₄	Cyclic group	34	1	C34	34,2
D₁₇	Dihedral group	17	2+	D17	34,1

Groups of order 35

		d	ρ	Label	ID
C₃₅	Cyclic group	35	1	C35	35,1

Groups of order 36

		d	ρ	Label	ID
C₃₆	Cyclic group	36	1	C36	36,2
Dic₉	Dicyclic group; = C₉ ⋊C₄	36	2-	Dic9	36,1

Groups of order 37

		d	ρ	Label	ID
C₃₇	Cyclic group	37	1	C37	37,1

Groups of order 38

		d	ρ	Label	ID
C₃₈	Cyclic group	38	1	C38	38,2
D₁₉	Dihedral group	19	2+	D19	38,1

Groups of order 39

		d	ρ	Label	ID
C₃₉	Cyclic group	39	1	C39	39,2
C₁₃⋊C₃	The semidirect product of C₁₃ and C₃ acting faithfully	13	3	C13:C3	39,1

Groups of order 40

		d	ρ	Label	ID
C₄₀	Cyclic group	40	1	C40	40,2
C₅⋊C₈	The semidirect product of C₅ and C₈ acting via C₈/C₂=C₄	40	4-	C5:C8	40,3
C₅⋊₂C₈	The semidirect product of C₅ and C₈ acting via C₈/C₄=C₂	40	2	C5:2C8	40,1

Groups of order 41

		d	ρ	Label	ID
C₄₁	Cyclic group	41	1	C41	41,1

Groups of order 42

		d	ρ	Label	ID
C₄₂	Cyclic group	42	1	C42	42,6
D₂₁	Dihedral group	21	2+	D21	42,5
F₇	Frobenius group; = C₇ ⋊C₆ = AGL₁(𝔽₇) = Aut(D₇) = Hol(C₇)	7	6+	F7	42,1
S₃×C₇	Direct product of C₇ and S₃	21	2	S3xC7	42,3
C₃×D₇	Direct product of C₃ and D₇	21	2	C3xD7	42,4
C₂×C₇⋊C₃	Direct product of C₂ and C₇⋊C₃	14	3	C2xC7:C3	42,2

Groups of order 43

		d	ρ	Label	ID
C₄₃	Cyclic group	43	1	C43	43,1

Groups of order 44

		d	ρ	Label	ID
C₄₄	Cyclic group	44	1	C44	44,2
Dic₁₁	Dicyclic group; = C₁₁ ⋊C₄	44	2-	Dic11	44,1

Groups of order 45

		d	ρ	Label	ID
C₄₅	Cyclic group	45	1	C45	45,1

Groups of order 46

		d	ρ	Label	ID
C₄₆	Cyclic group	46	1	C46	46,2
D₂₃	Dihedral group	23	2+	D23	46,1

Groups of order 47

		d	ρ	Label	ID
C₄₇	Cyclic group	47	1	C47	47,1

Groups of order 48

		d	ρ	Label	ID
C₄₈	Cyclic group	48	1	C48	48,2
C₃⋊C₁₆	The semidirect product of C₃ and C₁₆ acting via C₁₆/C₈=C₂	48	2	C3:C16	48,1

Groups of order 49

		d	ρ	Label	ID
C₄₉	Cyclic group	49	1	C49	49,1

Groups of order 50

		d	ρ	Label	ID
C₅₀	Cyclic group	50	1	C50	50,2
D₂₅	Dihedral group	25	2+	D25	50,1

Groups of order 51

		d	ρ	Label	ID
C₅₁	Cyclic group	51	1	C51	51,1

Groups of order 52

		d	ρ	Label	ID
C₅₂	Cyclic group	52	1	C52	52,2
Dic₁₃	Dicyclic group; = C₁₃ ⋊₂ C₄	52	2-	Dic13	52,1
C₁₃⋊C₄	The semidirect product of C₁₃ and C₄ acting faithfully	13	4+	C13:C4	52,3

Groups of order 53

		d	ρ	Label	ID
C₅₃	Cyclic group	53	1	C53	53,1

Groups of order 54

		d	ρ	Label	ID
C₅₄	Cyclic group	54	1	C54	54,2
D₂₇	Dihedral group	27	2+	D27	54,1

Groups of order 55

		d	ρ	Label	ID
C₅₅	Cyclic group	55	1	C55	55,2
C₁₁⋊C₅	The semidirect product of C₁₁ and C₅ acting faithfully	11	5	C11:C5	55,1

Groups of order 56

		d	ρ	Label	ID
C₅₆	Cyclic group	56	1	C56	56,2
C₇⋊C₈	The semidirect product of C₇ and C₈ acting via C₈/C₄=C₂	56	2	C7:C8	56,1

Groups of order 57

		d	ρ	Label	ID
C₅₇	Cyclic group	57	1	C57	57,2
C₁₉⋊C₃	The semidirect product of C₁₉ and C₃ acting faithfully	19	3	C19:C3	57,1

Groups of order 58

		d	ρ	Label	ID
C₅₈	Cyclic group	58	1	C58	58,2
D₂₉	Dihedral group	29	2+	D29	58,1

Groups of order 59

		d	ρ	Label	ID
C₅₉	Cyclic group	59	1	C59	59,1

Groups of order 60

		d	ρ	Label	ID
C₆₀	Cyclic group	60	1	C60	60,4
Dic₁₅	Dicyclic group; = C₃ ⋊Dic₅	60	2-	Dic15	60,3
C₃⋊F₅	The semidirect product of C₃ and F₅ acting via F₅/D₅=C₂	15	4	C3:F5	60,7
C₃×F₅	Direct product of C₃ and F₅	15	4	C3xF5	60,6
C₅×Dic₃	Direct product of C₅ and Dic₃	60	2	C5xDic3	60,1
C₃×Dic₅	Direct product of C₃ and Dic₅	60	2	C3xDic5	60,2

Groups of order 61

		d	ρ	Label	ID
C₆₁	Cyclic group	61	1	C61	61,1

Groups of order 62

		d	ρ	Label	ID
C₆₂	Cyclic group	62	1	C62	62,2
D₃₁	Dihedral group	31	2+	D31	62,1

Groups of order 63

		d	ρ	Label	ID
C₆₃	Cyclic group	63	1	C63	63,2
C₇⋊C₉	The semidirect product of C₇ and C₉ acting via C₉/C₃=C₃	63	3	C7:C9	63,1

Groups of order 64

		d	ρ	Label	ID
C₆₄	Cyclic group	64	1	C64	64,1

Groups of order 65

		d	ρ	Label	ID
C₆₅	Cyclic group	65	1	C65	65,1

Groups of order 66

		d	ρ	Label	ID
C₆₆	Cyclic group	66	1	C66	66,4
D₃₃	Dihedral group	33	2+	D33	66,3
S₃×C₁₁	Direct product of C₁₁ and S₃	33	2	S3xC11	66,1
C₃×D₁₁	Direct product of C₃ and D₁₁	33	2	C3xD11	66,2

Groups of order 67

		d	ρ	Label	ID
C₆₇	Cyclic group	67	1	C67	67,1

Groups of order 68

		d	ρ	Label	ID
C₆₈	Cyclic group	68	1	C68	68,2
Dic₁₇	Dicyclic group; = C₁₇ ⋊₂ C₄	68	2-	Dic17	68,1
C₁₇⋊C₄	The semidirect product of C₁₇ and C₄ acting faithfully	17	4+	C17:C4	68,3

Groups of order 69

		d	ρ	Label	ID
C₆₉	Cyclic group	69	1	C69	69,1

Groups of order 70

		d	ρ	Label	ID
C₇₀	Cyclic group	70	1	C70	70,4
D₃₅	Dihedral group	35	2+	D35	70,3
C₇×D₅	Direct product of C₇ and D₅	35	2	C7xD5	70,1
C₅×D₇	Direct product of C₅ and D₇	35	2	C5xD7	70,2

Groups of order 71

		d	ρ	Label	ID
C₇₁	Cyclic group	71	1	C71	71,1

Groups of order 72

		d	ρ	Label	ID
C₇₂	Cyclic group	72	1	C72	72,2
C₉⋊C₈	The semidirect product of C₉ and C₈ acting via C₈/C₄=C₂	72	2	C9:C8	72,1

Groups of order 73

		d	ρ	Label	ID
C₇₃	Cyclic group	73	1	C73	73,1

Groups of order 74

		d	ρ	Label	ID
C₇₄	Cyclic group	74	1	C74	74,2
D₃₇	Dihedral group	37	2+	D37	74,1

Groups of order 75

		d	ρ	Label	ID
C₇₅	Cyclic group	75	1	C75	75,1

Groups of order 76

		d	ρ	Label	ID
C₇₆	Cyclic group	76	1	C76	76,2
Dic₁₉	Dicyclic group; = C₁₉ ⋊C₄	76	2-	Dic19	76,1

Groups of order 77

		d	ρ	Label	ID
C₇₇	Cyclic group	77	1	C77	77,1

Groups of order 78

		d	ρ	Label	ID
C₇₈	Cyclic group	78	1	C78	78,6
D₃₉	Dihedral group	39	2+	D39	78,5
C₁₃⋊C₆	The semidirect product of C₁₃ and C₆ acting faithfully	13	6+	C13:C6	78,1
S₃×C₁₃	Direct product of C₁₃ and S₃	39	2	S3xC13	78,3
C₃×D₁₃	Direct product of C₃ and D₁₃	39	2	C3xD13	78,4
C₂×C₁₃⋊C₃	Direct product of C₂ and C₁₃⋊C₃	26	3	C2xC13:C3	78,2

Groups of order 79

		d	ρ	Label	ID
C₇₉	Cyclic group	79	1	C79	79,1

Groups of order 80

		d	ρ	Label	ID
C₈₀	Cyclic group	80	1	C80	80,2
C₅⋊C₁₆	The semidirect product of C₅ and C₁₆ acting via C₁₆/C₄=C₄	80	4	C5:C16	80,3
C₅⋊₂C₁₆	The semidirect product of C₅ and C₁₆ acting via C₁₆/C₈=C₂	80	2	C5:2C16	80,1

Groups of order 81

		d	ρ	Label	ID
C₈₁	Cyclic group	81	1	C81	81,1

Groups of order 82

		d	ρ	Label	ID
C₈₂	Cyclic group	82	1	C82	82,2
D₄₁	Dihedral group	41	2+	D41	82,1

Groups of order 83

		d	ρ	Label	ID
C₈₃	Cyclic group	83	1	C83	83,1

Groups of order 84

		d	ρ	Label	ID
C₈₄	Cyclic group	84	1	C84	84,6
Dic₂₁	Dicyclic group; = C₃ ⋊Dic₇	84	2-	Dic21	84,5
C₇⋊C₁₂	The semidirect product of C₇ and C₁₂ acting via C₁₂/C₂=C₆	28	6-	C7:C12	84,1
C₇×Dic₃	Direct product of C₇ and Dic₃	84	2	C7xDic3	84,3
C₃×Dic₇	Direct product of C₃ and Dic₇	84	2	C3xDic7	84,4
C₄×C₇⋊C₃	Direct product of C₄ and C₇⋊C₃	28	3	C4xC7:C3	84,2

Groups of order 85

		d	ρ	Label	ID
C₈₅	Cyclic group	85	1	C85	85,1

Groups of order 86

		d	ρ	Label	ID
C₈₆	Cyclic group	86	1	C86	86,2
D₄₃	Dihedral group	43	2+	D43	86,1

Groups of order 87

		d	ρ	Label	ID
C₈₇	Cyclic group	87	1	C87	87,1

Groups of order 88

		d	ρ	Label	ID
C₈₈	Cyclic group	88	1	C88	88,2
C₁₁⋊C₈	The semidirect product of C₁₁ and C₈ acting via C₈/C₄=C₂	88	2	C11:C8	88,1

Groups of order 89

		d	ρ	Label	ID
C₈₉	Cyclic group	89	1	C89	89,1

Groups of order 90

		d	ρ	Label	ID
C₉₀	Cyclic group	90	1	C90	90,4
D₄₅	Dihedral group	45	2+	D45	90,3
C₅×D₉	Direct product of C₅ and D₉	45	2	C5xD9	90,1
C₉×D₅	Direct product of C₉ and D₅	45	2	C9xD5	90,2

Groups of order 91

		d	ρ	Label	ID
C₉₁	Cyclic group	91	1	C91	91,1

Groups of order 92

		d	ρ	Label	ID
C₉₂	Cyclic group	92	1	C92	92,2
Dic₂₃	Dicyclic group; = C₂₃ ⋊C₄	92	2-	Dic23	92,1

Groups of order 93

		d	ρ	Label	ID
C₉₃	Cyclic group	93	1	C93	93,2
C₃₁⋊C₃	The semidirect product of C₃₁ and C₃ acting faithfully	31	3	C31:C3	93,1

Groups of order 94

		d	ρ	Label	ID
C₉₄	Cyclic group	94	1	C94	94,2
D₄₇	Dihedral group	47	2+	D47	94,1

Groups of order 95

		d	ρ	Label	ID
C₉₅	Cyclic group	95	1	C95	95,1

Groups of order 96

		d	ρ	Label	ID
C₉₆	Cyclic group	96	1	C96	96,2
C₃⋊C₃₂	The semidirect product of C₃ and C₃₂ acting via C₃₂/C₁₆=C₂	96	2	C3:C32	96,1

Groups of order 97

		d	ρ	Label	ID
C₉₇	Cyclic group	97	1	C97	97,1

Groups of order 98

		d	ρ	Label	ID
C₉₈	Cyclic group	98	1	C98	98,2
D₄₉	Dihedral group	49	2+	D49	98,1

Groups of order 99

		d	ρ	Label	ID
C₉₉	Cyclic group	99	1	C99	99,1

Groups of order 100

		d	ρ	Label	ID
C₁₀₀	Cyclic group	100	1	C100	100,2
Dic₂₅	Dicyclic group; = C₂₅ ⋊₂ C₄	100	2-	Dic25	100,1
C₂₅⋊C₄	The semidirect product of C₂₅ and C₄ acting faithfully	25	4+	C25:C4	100,3

Groups of order 101

		d	ρ	Label	ID
C₁₀₁	Cyclic group	101	1	C101	101,1

Groups of order 102

		d	ρ	Label	ID
C₁₀₂	Cyclic group	102	1	C102	102,4
D₅₁	Dihedral group	51	2+	D51	102,3
S₃×C₁₇	Direct product of C₁₇ and S₃	51	2	S3xC17	102,1
C₃×D₁₇	Direct product of C₃ and D₁₇	51	2	C3xD17	102,2

Groups of order 103

		d	ρ	Label	ID
C₁₀₃	Cyclic group	103	1	C103	103,1

Groups of order 104

		d	ρ	Label	ID
C₁₀₄	Cyclic group	104	1	C104	104,2
C₁₃⋊C₈	The semidirect product of C₁₃ and C₈ acting via C₈/C₂=C₄	104	4-	C13:C8	104,3
C₁₃⋊₂C₈	The semidirect product of C₁₃ and C₈ acting via C₈/C₄=C₂	104	2	C13:2C8	104,1

Groups of order 105

		d	ρ	Label	ID
C₁₀₅	Cyclic group	105	1	C105	105,2
C₅×C₇⋊C₃	Direct product of C₅ and C₇⋊C₃	35	3	C5xC7:C3	105,1

Groups of order 106

		d	ρ	Label	ID
C₁₀₆	Cyclic group	106	1	C106	106,2
D₅₃	Dihedral group	53	2+	D53	106,1

Groups of order 107

		d	ρ	Label	ID
C₁₀₇	Cyclic group	107	1	C107	107,1

Groups of order 108

		d	ρ	Label	ID
C₁₀₈	Cyclic group	108	1	C108	108,2
Dic₂₇	Dicyclic group; = C₂₇ ⋊C₄	108	2-	Dic27	108,1

Groups of order 109

		d	ρ	Label	ID
C₁₀₉	Cyclic group	109	1	C109	109,1

Groups of order 110

		d	ρ	Label	ID
C₁₁₀	Cyclic group	110	1	C110	110,6
D₅₅	Dihedral group	55	2+	D55	110,5
F₁₁	Frobenius group; = C₁₁ ⋊C₁₀ = AGL₁(𝔽₁₁) = Aut(D₁₁) = Hol(C₁₁)	11	10+	F11	110,1
D₅×C₁₁	Direct product of C₁₁ and D₅	55	2	D5xC11	110,3
C₅×D₁₁	Direct product of C₅ and D₁₁	55	2	C5xD11	110,4
C₂×C₁₁⋊C₅	Direct product of C₂ and C₁₁⋊C₅	22	5	C2xC11:C5	110,2

Groups of order 111

		d	ρ	Label	ID
C₁₁₁	Cyclic group	111	1	C111	111,2
C₃₇⋊C₃	The semidirect product of C₃₇ and C₃ acting faithfully	37	3	C37:C3	111,1

Groups of order 112

		d	ρ	Label	ID
C₁₁₂	Cyclic group	112	1	C112	112,2
C₇⋊C₁₆	The semidirect product of C₇ and C₁₆ acting via C₁₆/C₈=C₂	112	2	C7:C16	112,1

Groups of order 113

		d	ρ	Label	ID
C₁₁₃	Cyclic group	113	1	C113	113,1

Groups of order 114

		d	ρ	Label	ID
C₁₁₄	Cyclic group	114	1	C114	114,6
D₅₇	Dihedral group	57	2+	D57	114,5
C₁₉⋊C₆	The semidirect product of C₁₉ and C₆ acting faithfully	19	6+	C19:C6	114,1
S₃×C₁₉	Direct product of C₁₉ and S₃	57	2	S3xC19	114,3
C₃×D₁₉	Direct product of C₃ and D₁₉	57	2	C3xD19	114,4
C₂×C₁₉⋊C₃	Direct product of C₂ and C₁₉⋊C₃	38	3	C2xC19:C3	114,2

Groups of order 115

		d	ρ	Label	ID
C₁₁₅	Cyclic group	115	1	C115	115,1

Groups of order 116

		d	ρ	Label	ID
C₁₁₆	Cyclic group	116	1	C116	116,2
Dic₂₉	Dicyclic group; = C₂₉ ⋊₂ C₄	116	2-	Dic29	116,1
C₂₉⋊C₄	The semidirect product of C₂₉ and C₄ acting faithfully	29	4+	C29:C4	116,3

Groups of order 117

		d	ρ	Label	ID
C₁₁₇	Cyclic group	117	1	C117	117,2
C₁₃⋊C₉	The semidirect product of C₁₃ and C₉ acting via C₉/C₃=C₃	117	3	C13:C9	117,1

Groups of order 118

		d	ρ	Label	ID
C₁₁₈	Cyclic group	118	1	C118	118,2
D₅₉	Dihedral group	59	2+	D59	118,1

Groups of order 119

		d	ρ	Label	ID
C₁₁₉	Cyclic group	119	1	C119	119,1

Groups of order 120

		d	ρ	Label	ID
C₁₂₀	Cyclic group	120	1	C120	120,4
C₁₅⋊₃C₈	1^st semidirect product of C₁₅ and C₈ acting via C₈/C₄=C₂	120	2	C15:3C8	120,3
C₁₅⋊C₈	1^st semidirect product of C₁₅ and C₈ acting via C₈/C₂=C₄	120	4	C15:C8	120,7
C₅×C₃⋊C₈	Direct product of C₅ and C₃⋊C₈	120	2	C5xC3:C8	120,1
C₃×C₅⋊C₈	Direct product of C₃ and C₅⋊C₈	120	4	C3xC5:C8	120,6
C₃×C₅⋊₂C₈	Direct product of C₃ and C₅⋊₂C₈	120	2	C3xC5:2C8	120,2

Groups of order 121

		d	ρ	Label	ID
C₁₂₁	Cyclic group	121	1	C121	121,1

Groups of order 122

		d	ρ	Label	ID
C₁₂₂	Cyclic group	122	1	C122	122,2
D₆₁	Dihedral group	61	2+	D61	122,1

Groups of order 123

		d	ρ	Label	ID
C₁₂₃	Cyclic group	123	1	C123	123,1

Groups of order 124

		d	ρ	Label	ID
C₁₂₄	Cyclic group	124	1	C124	124,2
Dic₃₁	Dicyclic group; = C₃₁ ⋊C₄	124	2-	Dic31	124,1

Groups of order 125

		d	ρ	Label	ID
C₁₂₅	Cyclic group	125	1	C125	125,1

Groups of order 126

		d	ρ	Label	ID
C₁₂₆	Cyclic group	126	1	C126	126,6
D₆₃	Dihedral group	63	2+	D63	126,5
C₇⋊C₁₈	The semidirect product of C₇ and C₁₈ acting via C₁₈/C₃=C₆	63	6	C7:C18	126,1
C₇×D₉	Direct product of C₇ and D₉	63	2	C7xD9	126,3
C₉×D₇	Direct product of C₉ and D₇	63	2	C9xD7	126,4
C₂×C₇⋊C₉	Direct product of C₂ and C₇⋊C₉	126	3	C2xC7:C9	126,2

Groups of order 127

		d	ρ	Label	ID
C₁₂₇	Cyclic group	127	1	C127	127,1

Groups of order 128

		d	ρ	Label	ID
C₁₂₈	Cyclic group	128	1	C128	128,1

Groups of order 129

		d	ρ	Label	ID
C₁₂₉	Cyclic group	129	1	C129	129,2
C₄₃⋊C₃	The semidirect product of C₄₃ and C₃ acting faithfully	43	3	C43:C3	129,1

Groups of order 130

		d	ρ	Label	ID
C₁₃₀	Cyclic group	130	1	C130	130,4
D₆₅	Dihedral group	65	2+	D65	130,3
D₅×C₁₃	Direct product of C₁₃ and D₅	65	2	D5xC13	130,1
C₅×D₁₃	Direct product of C₅ and D₁₃	65	2	C5xD13	130,2

Groups of order 131

		d	ρ	Label	ID
C₁₃₁	Cyclic group	131	1	C131	131,1

Groups of order 132

		d	ρ	Label	ID
C₁₃₂	Cyclic group	132	1	C132	132,4
Dic₃₃	Dicyclic group; = C₃₃ ⋊₁ C₄	132	2-	Dic33	132,3
C₁₁×Dic₃	Direct product of C₁₁ and Dic₃	132	2	C11xDic3	132,1
C₃×Dic₁₁	Direct product of C₃ and Dic₁₁	132	2	C3xDic11	132,2

Groups of order 133

		d	ρ	Label	ID
C₁₃₃	Cyclic group	133	1	C133	133,1

Groups of order 134

		d	ρ	Label	ID
C₁₃₄	Cyclic group	134	1	C134	134,2
D₆₇	Dihedral group	67	2+	D67	134,1

Groups of order 135

		d	ρ	Label	ID
C₁₃₅	Cyclic group	135	1	C135	135,1

Groups of order 136

		d	ρ	Label	ID
C₁₃₆	Cyclic group	136	1	C136	136,2
C₁₇⋊C₈	The semidirect product of C₁₇ and C₈ acting faithfully	17	8+	C17:C8	136,12
C₁₇⋊₃C₈	The semidirect product of C₁₇ and C₈ acting via C₈/C₄=C₂	136	2	C17:3C8	136,1
C₁₇⋊₂C₈	The semidirect product of C₁₇ and C₈ acting via C₈/C₂=C₄	136	4-	C17:2C8	136,3

Groups of order 137

		d	ρ	Label	ID
C₁₃₇	Cyclic group	137	1	C137	137,1

Groups of order 138

		d	ρ	Label	ID
C₁₃₈	Cyclic group	138	1	C138	138,4
D₆₉	Dihedral group	69	2+	D69	138,3
S₃×C₂₃	Direct product of C₂₃ and S₃	69	2	S3xC23	138,1
C₃×D₂₃	Direct product of C₃ and D₂₃	69	2	C3xD23	138,2

Groups of order 139

		d	ρ	Label	ID
C₁₃₉	Cyclic group	139	1	C139	139,1

Groups of order 140

		d	ρ	Label	ID
C₁₄₀	Cyclic group	140	1	C140	140,4
Dic₃₅	Dicyclic group; = C₇ ⋊Dic₅	140	2-	Dic35	140,3
C₇⋊F₅	The semidirect product of C₇ and F₅ acting via F₅/D₅=C₂	35	4	C7:F5	140,6
C₇×F₅	Direct product of C₇ and F₅	35	4	C7xF5	140,5
C₇×Dic₅	Direct product of C₇ and Dic₅	140	2	C7xDic5	140,1
C₅×Dic₇	Direct product of C₅ and Dic₇	140	2	C5xDic7	140,2

Groups of order 141

		d	ρ	Label	ID
C₁₄₁	Cyclic group	141	1	C141	141,1

Groups of order 142

		d	ρ	Label	ID
C₁₄₂	Cyclic group	142	1	C142	142,2
D₇₁	Dihedral group	71	2+	D71	142,1

Groups of order 143

		d	ρ	Label	ID
C₁₄₃	Cyclic group	143	1	C143	143,1

Groups of order 144

		d	ρ	Label	ID
C₁₄₄	Cyclic group	144	1	C144	144,2
C₉⋊C₁₆	The semidirect product of C₉ and C₁₆ acting via C₁₆/C₈=C₂	144	2	C9:C16	144,1

Groups of order 145

		d	ρ	Label	ID
C₁₄₅	Cyclic group	145	1	C145	145,1

Groups of order 146

		d	ρ	Label	ID
C₁₄₆	Cyclic group	146	1	C146	146,2
D₇₃	Dihedral group	73	2+	D73	146,1

Groups of order 147

		d	ρ	Label	ID
C₁₄₇	Cyclic group	147	1	C147	147,2
C₄₉⋊C₃	The semidirect product of C₄₉ and C₃ acting faithfully	49	3	C49:C3	147,1

Groups of order 148

		d	ρ	Label	ID
C₁₄₈	Cyclic group	148	1	C148	148,2
Dic₃₇	Dicyclic group; = C₃₇ ⋊₂ C₄	148	2-	Dic37	148,1
C₃₇⋊C₄	The semidirect product of C₃₇ and C₄ acting faithfully	37	4+	C37:C4	148,3

Groups of order 149

		d	ρ	Label	ID
C₁₄₉	Cyclic group	149	1	C149	149,1

Groups of order 150

		d	ρ	Label	ID
C₁₅₀	Cyclic group	150	1	C150	150,4
D₇₅	Dihedral group	75	2+	D75	150,3
S₃×C₂₅	Direct product of C₂₅ and S₃	75	2	S3xC25	150,1
C₃×D₂₅	Direct product of C₃ and D₂₅	75	2	C3xD25	150,2

Groups of order 151

		d	ρ	Label	ID
C₁₅₁	Cyclic group	151	1	C151	151,1

Groups of order 152

		d	ρ	Label	ID
C₁₅₂	Cyclic group	152	1	C152	152,2
C₁₉⋊C₈	The semidirect product of C₁₉ and C₈ acting via C₈/C₄=C₂	152	2	C19:C8	152,1

Groups of order 153

		d	ρ	Label	ID
C₁₅₃	Cyclic group	153	1	C153	153,1

Groups of order 154

		d	ρ	Label	ID
C₁₅₄	Cyclic group	154	1	C154	154,4
D₇₇	Dihedral group	77	2+	D77	154,3
C₁₁×D₇	Direct product of C₁₁ and D₇	77	2	C11xD7	154,1
C₇×D₁₁	Direct product of C₇ and D₁₁	77	2	C7xD11	154,2

Groups of order 155

		d	ρ	Label	ID
C₁₅₅	Cyclic group	155	1	C155	155,2
C₃₁⋊C₅	The semidirect product of C₃₁ and C₅ acting faithfully	31	5	C31:C5	155,1

Groups of order 156

		d	ρ	Label	ID
C₁₅₆	Cyclic group	156	1	C156	156,6
F₁₃	Frobenius group; = C₁₃ ⋊C₁₂ = AGL₁(𝔽₁₃) = Aut(D₁₃) = Hol(C₁₃)	13	12+	F13	156,7
Dic₃₉	Dicyclic group; = C₃₉ ⋊₃ C₄	156	2-	Dic39	156,5
C₃₉⋊C₄	1^st semidirect product of C₃₉ and C₄ acting faithfully	39	4	C39:C4	156,10
C₂₆.C₆	The non-split extension by C₂₆ of C₆ acting faithfully	52	6-	C26.C6	156,1
Dic₃×C₁₃	Direct product of C₁₃ and Dic₃	156	2	Dic3xC13	156,3
C₃×Dic₁₃	Direct product of C₃ and Dic₁₃	156	2	C3xDic13	156,4
C₃×C₁₃⋊C₄	Direct product of C₃ and C₁₃⋊C₄	39	4	C3xC13:C4	156,9
C₄×C₁₃⋊C₃	Direct product of C₄ and C₁₃⋊C₃	52	3	C4xC13:C3	156,2

Groups of order 157

		d	ρ	Label	ID
C₁₅₇	Cyclic group	157	1	C157	157,1

Groups of order 158

		d	ρ	Label	ID
C₁₅₈	Cyclic group	158	1	C158	158,2
D₇₉	Dihedral group	79	2+	D79	158,1

Groups of order 159

		d	ρ	Label	ID
C₁₅₉	Cyclic group	159	1	C159	159,1

Groups of order 160

		d	ρ	Label	ID
C₁₆₀	Cyclic group	160	1	C160	160,2
C₅⋊C₃₂	The semidirect product of C₅ and C₃₂ acting via C₃₂/C₈=C₄	160	4	C5:C32	160,3
C₅⋊₂C₃₂	The semidirect product of C₅ and C₃₂ acting via C₃₂/C₁₆=C₂	160	2	C5:2C32	160,1

Groups of order 161

		d	ρ	Label	ID
C₁₆₁	Cyclic group	161	1	C161	161,1

Groups of order 162

		d	ρ	Label	ID
C₁₆₂	Cyclic group	162	1	C162	162,2
D₈₁	Dihedral group	81	2+	D81	162,1

Groups of order 163

		d	ρ	Label	ID
C₁₆₃	Cyclic group	163	1	C163	163,1

Groups of order 164

		d	ρ	Label	ID
C₁₆₄	Cyclic group	164	1	C164	164,2
Dic₄₁	Dicyclic group; = C₄₁ ⋊₂ C₄	164	2-	Dic41	164,1
C₄₁⋊C₄	The semidirect product of C₄₁ and C₄ acting faithfully	41	4+	C41:C4	164,3

Groups of order 165

		d	ρ	Label	ID
C₁₆₅	Cyclic group	165	1	C165	165,2
C₃×C₁₁⋊C₅	Direct product of C₃ and C₁₁⋊C₅	33	5	C3xC11:C5	165,1

Groups of order 166

		d	ρ	Label	ID
C₁₆₆	Cyclic group	166	1	C166	166,2
D₈₃	Dihedral group	83	2+	D83	166,1

Groups of order 167

		d	ρ	Label	ID
C₁₆₇	Cyclic group	167	1	C167	167,1

Groups of order 168

		d	ρ	Label	ID
C₁₆₈	Cyclic group	168	1	C168	168,6
C₇⋊C₂₄	The semidirect product of C₇ and C₂₄ acting via C₂₄/C₄=C₆	56	6	C7:C24	168,1
C₂₁⋊C₈	1^st semidirect product of C₂₁ and C₈ acting via C₈/C₄=C₂	168	2	C21:C8	168,5
C₈×C₇⋊C₃	Direct product of C₈ and C₇⋊C₃	56	3	C8xC7:C3	168,2
C₇×C₃⋊C₈	Direct product of C₇ and C₃⋊C₈	168	2	C7xC3:C8	168,3
C₃×C₇⋊C₈	Direct product of C₃ and C₇⋊C₈	168	2	C3xC7:C8	168,4

Groups of order 169

		d	ρ	Label	ID
C₁₆₉	Cyclic group	169	1	C169	169,1

Groups of order 170

		d	ρ	Label	ID
C₁₇₀	Cyclic group	170	1	C170	170,4
D₈₅	Dihedral group	85	2+	D85	170,3
D₅×C₁₇	Direct product of C₁₇ and D₅	85	2	D5xC17	170,1
C₅×D₁₇	Direct product of C₅ and D₁₇	85	2	C5xD17	170,2

Groups of order 171

		d	ρ	Label	ID
C₁₇₁	Cyclic group	171	1	C171	171,2
C₁₉⋊C₉	The semidirect product of C₁₉ and C₉ acting faithfully	19	9	C19:C9	171,3
C₁₉⋊₂C₉	The semidirect product of C₁₉ and C₉ acting via C₉/C₃=C₃	171	3	C19:2C9	171,1

Groups of order 172

		d	ρ	Label	ID
C₁₇₂	Cyclic group	172	1	C172	172,2
Dic₄₃	Dicyclic group; = C₄₃ ⋊C₄	172	2-	Dic43	172,1

Groups of order 173

		d	ρ	Label	ID
C₁₇₃	Cyclic group	173	1	C173	173,1

Groups of order 174

		d	ρ	Label	ID
C₁₇₄	Cyclic group	174	1	C174	174,4
D₈₇	Dihedral group	87	2+	D87	174,3
S₃×C₂₉	Direct product of C₂₉ and S₃	87	2	S3xC29	174,1
C₃×D₂₉	Direct product of C₃ and D₂₉	87	2	C3xD29	174,2

Groups of order 175

		d	ρ	Label	ID
C₁₇₅	Cyclic group	175	1	C175	175,1

Groups of order 176

		d	ρ	Label	ID
C₁₇₆	Cyclic group	176	1	C176	176,2
C₁₁⋊C₁₆	The semidirect product of C₁₁ and C₁₆ acting via C₁₆/C₈=C₂	176	2	C11:C16	176,1

Groups of order 177

		d	ρ	Label	ID
C₁₇₇	Cyclic group	177	1	C177	177,1

Groups of order 178

		d	ρ	Label	ID
C₁₇₈	Cyclic group	178	1	C178	178,2
D₈₉	Dihedral group	89	2+	D89	178,1

Groups of order 179

		d	ρ	Label	ID
C₁₇₉	Cyclic group	179	1	C179	179,1

Groups of order 180

		d	ρ	Label	ID
C₁₈₀	Cyclic group	180	1	C180	180,4
Dic₄₅	Dicyclic group; = C₉ ⋊Dic₅	180	2-	Dic45	180,3
C₉⋊F₅	The semidirect product of C₉ and F₅ acting via F₅/D₅=C₂	45	4	C9:F5	180,6
C₉×F₅	Direct product of C₉ and F₅	45	4	C9xF5	180,5
C₅×Dic₉	Direct product of C₅ and Dic₉	180	2	C5xDic9	180,1
C₉×Dic₅	Direct product of C₉ and Dic₅	180	2	C9xDic5	180,2

Groups of order 181

		d	ρ	Label	ID
C₁₈₁	Cyclic group	181	1	C181	181,1

Groups of order 182

		d	ρ	Label	ID
C₁₈₂	Cyclic group	182	1	C182	182,4
D₉₁	Dihedral group	91	2+	D91	182,3
C₁₃×D₇	Direct product of C₁₃ and D₇	91	2	C13xD7	182,1
C₇×D₁₃	Direct product of C₇ and D₁₃	91	2	C7xD13	182,2

Groups of order 183

		d	ρ	Label	ID
C₁₈₃	Cyclic group	183	1	C183	183,2
C₆₁⋊C₃	The semidirect product of C₆₁ and C₃ acting faithfully	61	3	C61:C3	183,1

Groups of order 184

		d	ρ	Label	ID
C₁₈₄	Cyclic group	184	1	C184	184,2
C₂₃⋊C₈	The semidirect product of C₂₃ and C₈ acting via C₈/C₄=C₂	184	2	C23:C8	184,1

Groups of order 185

		d	ρ	Label	ID
C₁₈₅	Cyclic group	185	1	C185	185,1

Groups of order 186

		d	ρ	Label	ID
C₁₈₆	Cyclic group	186	1	C186	186,6
D₉₃	Dihedral group	93	2+	D93	186,5
C₃₁⋊C₆	The semidirect product of C₃₁ and C₆ acting faithfully	31	6+	C31:C6	186,1
S₃×C₃₁	Direct product of C₃₁ and S₃	93	2	S3xC31	186,3
C₃×D₃₁	Direct product of C₃ and D₃₁	93	2	C3xD31	186,4
C₂×C₃₁⋊C₃	Direct product of C₂ and C₃₁⋊C₃	62	3	C2xC31:C3	186,2

Groups of order 187

		d	ρ	Label	ID
C₁₈₇	Cyclic group	187	1	C187	187,1

Groups of order 188

		d	ρ	Label	ID
C₁₈₈	Cyclic group	188	1	C188	188,2
Dic₄₇	Dicyclic group; = C₄₇ ⋊C₄	188	2-	Dic47	188,1

Groups of order 189

		d	ρ	Label	ID
C₁₈₉	Cyclic group	189	1	C189	189,2
C₇⋊C₂₇	The semidirect product of C₇ and C₂₇ acting via C₂₇/C₉=C₃	189	3	C7:C27	189,1

Groups of order 190

		d	ρ	Label	ID
C₁₉₀	Cyclic group	190	1	C190	190,4
D₉₅	Dihedral group	95	2+	D95	190,3
D₅×C₁₉	Direct product of C₁₉ and D₅	95	2	D5xC19	190,1
C₅×D₁₉	Direct product of C₅ and D₁₉	95	2	C5xD19	190,2

Groups of order 191

		d	ρ	Label	ID
C₁₉₁	Cyclic group	191	1	C191	191,1

Groups of order 192

		d	ρ	Label	ID
C₁₉₂	Cyclic group	192	1	C192	192,2
C₃⋊C₆₄	The semidirect product of C₃ and C₆₄ acting via C₆₄/C₃₂=C₂	192	2	C3:C64	192,1

Groups of order 193

		d	ρ	Label	ID
C₁₉₃	Cyclic group	193	1	C193	193,1

Groups of order 194

		d	ρ	Label	ID
C₁₉₄	Cyclic group	194	1	C194	194,2
D₉₇	Dihedral group	97	2+	D97	194,1

Groups of order 195

		d	ρ	Label	ID
C₁₉₅	Cyclic group	195	1	C195	195,2
C₅×C₁₃⋊C₃	Direct product of C₅ and C₁₃⋊C₃	65	3	C5xC13:C3	195,1

Groups of order 196

		d	ρ	Label	ID
C₁₉₆	Cyclic group	196	1	C196	196,2
Dic₄₉	Dicyclic group; = C₄₉ ⋊C₄	196	2-	Dic49	196,1

Groups of order 197

		d	ρ	Label	ID
C₁₉₇	Cyclic group	197	1	C197	197,1

Groups of order 198

		d	ρ	Label	ID
C₁₉₈	Cyclic group	198	1	C198	198,4
D₉₉	Dihedral group	99	2+	D99	198,3
C₁₁×D₉	Direct product of C₁₁ and D₉	99	2	C11xD9	198,1
C₉×D₁₁	Direct product of C₉ and D₁₁	99	2	C9xD11	198,2

Groups of order 199

		d	ρ	Label	ID
C₁₉₉	Cyclic group	199	1	C199	199,1

Groups of order 200

		d	ρ	Label	ID
C₂₀₀	Cyclic group	200	1	C200	200,2
C₂₅⋊C₈	The semidirect product of C₂₅ and C₈ acting via C₈/C₂=C₄	200	4-	C25:C8	200,3
C₂₅⋊₂C₈	The semidirect product of C₂₅ and C₈ acting via C₈/C₄=C₂	200	2	C25:2C8	200,1

Groups of order 201

		d	ρ	Label	ID
C₂₀₁	Cyclic group	201	1	C201	201,2
C₆₇⋊C₃	The semidirect product of C₆₇ and C₃ acting faithfully	67	3	C67:C3	201,1

Groups of order 202

		d	ρ	Label	ID
C₂₀₂	Cyclic group	202	1	C202	202,2
D₁₀₁	Dihedral group	101	2+	D101	202,1

Groups of order 203

		d	ρ	Label	ID
C₂₀₃	Cyclic group	203	1	C203	203,2
C₂₉⋊C₇	The semidirect product of C₂₉ and C₇ acting faithfully	29	7	C29:C7	203,1

Groups of order 204

		d	ρ	Label	ID
C₂₀₄	Cyclic group	204	1	C204	204,4
Dic₅₁	Dicyclic group; = C₅₁ ⋊₃ C₄	204	2-	Dic51	204,3
C₅₁⋊C₄	1^st semidirect product of C₅₁ and C₄ acting faithfully	51	4	C51:C4	204,6
Dic₃×C₁₇	Direct product of C₁₇ and Dic₃	204	2	Dic3xC17	204,1
C₃×Dic₁₇	Direct product of C₃ and Dic₁₇	204	2	C3xDic17	204,2
C₃×C₁₇⋊C₄	Direct product of C₃ and C₁₇⋊C₄	51	4	C3xC17:C4	204,5

Groups of order 205

		d	ρ	Label	ID
C₂₀₅	Cyclic group	205	1	C205	205,2
C₄₁⋊C₅	The semidirect product of C₄₁ and C₅ acting faithfully	41	5	C41:C5	205,1

Groups of order 206

		d	ρ	Label	ID
C₂₀₆	Cyclic group	206	1	C206	206,2
D₁₀₃	Dihedral group	103	2+	D103	206,1

Groups of order 207

		d	ρ	Label	ID
C₂₀₇	Cyclic group	207	1	C207	207,1

Groups of order 208

		d	ρ	Label	ID
C₂₀₈	Cyclic group	208	1	C208	208,2
C₁₃⋊C₁₆	The semidirect product of C₁₃ and C₁₆ acting via C₁₆/C₄=C₄	208	4	C13:C16	208,3
C₁₃⋊₂C₁₆	The semidirect product of C₁₃ and C₁₆ acting via C₁₆/C₈=C₂	208	2	C13:2C16	208,1

Groups of order 209

		d	ρ	Label	ID
C₂₀₉	Cyclic group	209	1	C209	209,1

Groups of order 210

		d	ρ	Label	ID
C₂₁₀	Cyclic group	210	1	C210	210,12
D₁₀₅	Dihedral group	105	2+	D105	210,11
C₅⋊F₇	The semidirect product of C₅ and F₇ acting via F₇/C₇⋊C₃=C₂	35	6+	C5:F7	210,3
C₅×F₇	Direct product of C₅ and F₇	35	6	C5xF7	210,1
S₃×C₃₅	Direct product of C₃₅ and S₃	105	2	S3xC35	210,8
D₇×C₁₅	Direct product of C₁₅ and D₇	105	2	D7xC15	210,5
D₅×C₂₁	Direct product of C₂₁ and D₅	105	2	D5xC21	210,6
C₃×D₃₅	Direct product of C₃ and D₃₅	105	2	C3xD35	210,7
C₅×D₂₁	Direct product of C₅ and D₂₁	105	2	C5xD21	210,9
C₇×D₁₅	Direct product of C₇ and D₁₅	105	2	C7xD15	210,10
D₅×C₇⋊C₃	Direct product of D₅ and C₇⋊C₃	35	6	D5xC7:C3	210,2
C₁₀×C₇⋊C₃	Direct product of C₁₀ and C₇⋊C₃	70	3	C10xC7:C3	210,4

Groups of order 211

		d	ρ	Label	ID
C₂₁₁	Cyclic group	211	1	C211	211,1

Groups of order 212

		d	ρ	Label	ID
C₂₁₂	Cyclic group	212	1	C212	212,2
Dic₅₃	Dicyclic group; = C₅₃ ⋊₂ C₄	212	2-	Dic53	212,1
C₅₃⋊C₄	The semidirect product of C₅₃ and C₄ acting faithfully	53	4+	C53:C4	212,3

Groups of order 213

		d	ρ	Label	ID
C₂₁₃	Cyclic group	213	1	C213	213,1

Groups of order 214

		d	ρ	Label	ID
C₂₁₄	Cyclic group	214	1	C214	214,2
D₁₀₇	Dihedral group	107	2+	D107	214,1

Groups of order 215

		d	ρ	Label	ID
C₂₁₅	Cyclic group	215	1	C215	215,1

Groups of order 216

		d	ρ	Label	ID
C₂₁₆	Cyclic group	216	1	C216	216,2
C₂₇⋊C₈	The semidirect product of C₂₇ and C₈ acting via C₈/C₄=C₂	216	2	C27:C8	216,1

Groups of order 217

		d	ρ	Label	ID
C₂₁₇	Cyclic group	217	1	C217	217,1

Groups of order 218

		d	ρ	Label	ID
C₂₁₈	Cyclic group	218	1	C218	218,2
D₁₀₉	Dihedral group	109	2+	D109	218,1

Groups of order 219

		d	ρ	Label	ID
C₂₁₉	Cyclic group	219	1	C219	219,2
C₇₃⋊C₃	The semidirect product of C₇₃ and C₃ acting faithfully	73	3	C73:C3	219,1

Groups of order 220

		d	ρ	Label	ID
C₂₂₀	Cyclic group	220	1	C220	220,6
Dic₅₅	Dicyclic group; = C₅₅ ⋊₃ C₄	220	2-	Dic55	220,5
C₁₁⋊C₂₀	The semidirect product of C₁₁ and C₂₀ acting via C₂₀/C₂=C₁₀	44	10-	C11:C20	220,1
C₁₁⋊F₅	The semidirect product of C₁₁ and F₅ acting via F₅/D₅=C₂	55	4	C11:F5	220,10
C₁₁×F₅	Direct product of C₁₁ and F₅	55	4	C11xF5	220,9
C₁₁×Dic₅	Direct product of C₁₁ and Dic₅	220	2	C11xDic5	220,3
C₅×Dic₁₁	Direct product of C₅ and Dic₁₁	220	2	C5xDic11	220,4
C₄×C₁₁⋊C₅	Direct product of C₄ and C₁₁⋊C₅	44	5	C4xC11:C5	220,2

Groups of order 221

		d	ρ	Label	ID
C₂₂₁	Cyclic group	221	1	C221	221,1

Groups of order 222

		d	ρ	Label	ID
C₂₂₂	Cyclic group	222	1	C222	222,6
D₁₁₁	Dihedral group	111	2+	D111	222,5
C₃₇⋊C₆	The semidirect product of C₃₇ and C₆ acting faithfully	37	6+	C37:C6	222,1
S₃×C₃₇	Direct product of C₃₇ and S₃	111	2	S3xC37	222,3
C₃×D₃₇	Direct product of C₃ and D₃₇	111	2	C3xD37	222,4
C₂×C₃₇⋊C₃	Direct product of C₂ and C₃₇⋊C₃	74	3	C2xC37:C3	222,2

Groups of order 223

		d	ρ	Label	ID
C₂₂₃	Cyclic group	223	1	C223	223,1

Groups of order 224

		d	ρ	Label	ID
C₂₂₄	Cyclic group	224	1	C224	224,2
C₇⋊C₃₂	The semidirect product of C₇ and C₃₂ acting via C₃₂/C₁₆=C₂	224	2	C7:C32	224,1

Groups of order 225

		d	ρ	Label	ID
C₂₂₅	Cyclic group	225	1	C225	225,1

Groups of order 226

		d	ρ	Label	ID
C₂₂₆	Cyclic group	226	1	C226	226,2
D₁₁₃	Dihedral group	113	2+	D113	226,1

Groups of order 227

		d	ρ	Label	ID
C₂₂₇	Cyclic group	227	1	C227	227,1

Groups of order 228

		d	ρ	Label	ID
C₂₂₈	Cyclic group	228	1	C228	228,6
Dic₅₇	Dicyclic group; = C₅₇ ⋊₁ C₄	228	2-	Dic57	228,5
C₁₉⋊C₁₂	The semidirect product of C₁₉ and C₁₂ acting via C₁₂/C₂=C₆	76	6-	C19:C12	228,1
Dic₃×C₁₉	Direct product of C₁₉ and Dic₃	228	2	Dic3xC19	228,3
C₃×Dic₁₉	Direct product of C₃ and Dic₁₉	228	2	C3xDic19	228,4
C₄×C₁₉⋊C₃	Direct product of C₄ and C₁₉⋊C₃	76	3	C4xC19:C3	228,2

Groups of order 229

		d	ρ	Label	ID
C₂₂₉	Cyclic group	229	1	C229	229,1

Groups of order 230

		d	ρ	Label	ID
C₂₃₀	Cyclic group	230	1	C230	230,4
D₁₁₅	Dihedral group	115	2+	D115	230,3
D₅×C₂₃	Direct product of C₂₃ and D₅	115	2	D5xC23	230,1
C₅×D₂₃	Direct product of C₅ and D₂₃	115	2	C5xD23	230,2

Groups of order 231

		d	ρ	Label	ID
C₂₃₁	Cyclic group	231	1	C231	231,2
C₁₁×C₇⋊C₃	Direct product of C₁₁ and C₇⋊C₃	77	3	C11xC7:C3	231,1

Groups of order 232

		d	ρ	Label	ID
C₂₃₂	Cyclic group	232	1	C232	232,2
C₂₉⋊C₈	The semidirect product of C₂₉ and C₈ acting via C₈/C₂=C₄	232	4-	C29:C8	232,3
C₂₉⋊₂C₈	The semidirect product of C₂₉ and C₈ acting via C₈/C₄=C₂	232	2	C29:2C8	232,1

Groups of order 233

		d	ρ	Label	ID
C₂₃₃	Cyclic group	233	1	C233	233,1

Groups of order 234

		d	ρ	Label	ID
C₂₃₄	Cyclic group	234	1	C234	234,6
D₁₁₇	Dihedral group	117	2+	D117	234,5
C₁₃⋊C₁₈	The semidirect product of C₁₃ and C₁₈ acting via C₁₈/C₃=C₆	117	6	C13:C18	234,1
C₁₃×D₉	Direct product of C₁₃ and D₉	117	2	C13xD9	234,3
C₉×D₁₃	Direct product of C₉ and D₁₃	117	2	C9xD13	234,4
C₂×C₁₃⋊C₉	Direct product of C₂ and C₁₃⋊C₉	234	3	C2xC13:C9	234,2

Groups of order 235

		d	ρ	Label	ID
C₂₃₅	Cyclic group	235	1	C235	235,1

Groups of order 236

		d	ρ	Label	ID
C₂₃₆	Cyclic group	236	1	C236	236,2
Dic₅₉	Dicyclic group; = C₅₉ ⋊C₄	236	2-	Dic59	236,1

Groups of order 237

		d	ρ	Label	ID
C₂₃₇	Cyclic group	237	1	C237	237,2
C₇₉⋊C₃	The semidirect product of C₇₉ and C₃ acting faithfully	79	3	C79:C3	237,1

Groups of order 238

		d	ρ	Label	ID
C₂₃₈	Cyclic group	238	1	C238	238,4
D₁₁₉	Dihedral group	119	2+	D119	238,3
D₇×C₁₇	Direct product of C₁₇ and D₇	119	2	D7xC17	238,1
C₇×D₁₇	Direct product of C₇ and D₁₇	119	2	C7xD17	238,2

Groups of order 239

		d	ρ	Label	ID
C₂₃₉	Cyclic group	239	1	C239	239,1

Groups of order 240

		d	ρ	Label	ID
C₂₄₀	Cyclic group	240	1	C240	240,4
C₁₅⋊₃C₁₆	1^st semidirect product of C₁₅ and C₁₆ acting via C₁₆/C₈=C₂	240	2	C15:3C16	240,3
C₁₅⋊C₁₆	1^st semidirect product of C₁₅ and C₁₆ acting via C₁₆/C₄=C₄	240	4	C15:C16	240,6
C₅×C₃⋊C₁₆	Direct product of C₅ and C₃⋊C₁₆	240	2	C5xC3:C16	240,1
C₃×C₅⋊C₁₆	Direct product of C₃ and C₅⋊C₁₆	240	4	C3xC5:C16	240,5
C₃×C₅⋊₂C₁₆	Direct product of C₃ and C₅⋊₂C₁₆	240	2	C3xC5:2C16	240,2

Groups of order 241

		d	ρ	Label	ID
C₂₄₁	Cyclic group	241	1	C241	241,1

Groups of order 242

		d	ρ	Label	ID
C₂₄₂	Cyclic group	242	1	C242	242,2
D₁₂₁	Dihedral group	121	2+	D121	242,1

Groups of order 243

		d	ρ	Label	ID
C₂₄₃	Cyclic group	243	1	C243	243,1

Groups of order 244

		d	ρ	Label	ID
C₂₄₄	Cyclic group	244	1	C244	244,2
Dic₆₁	Dicyclic group; = C₆₁ ⋊₂ C₄	244	2-	Dic61	244,1
C₆₁⋊C₄	The semidirect product of C₆₁ and C₄ acting faithfully	61	4+	C61:C4	244,3

Groups of order 245

		d	ρ	Label	ID
C₂₄₅	Cyclic group	245	1	C245	245,1

Groups of order 246

		d	ρ	Label	ID
C₂₄₆	Cyclic group	246	1	C246	246,4
D₁₂₃	Dihedral group	123	2+	D123	246,3
S₃×C₄₁	Direct product of C₄₁ and S₃	123	2	S3xC41	246,1
C₃×D₄₁	Direct product of C₃ and D₄₁	123	2	C3xD41	246,2

Groups of order 247

		d	ρ	Label	ID
C₂₄₇	Cyclic group	247	1	C247	247,1

Groups of order 248

		d	ρ	Label	ID
C₂₄₈	Cyclic group	248	1	C248	248,2
C₃₁⋊C₈	The semidirect product of C₃₁ and C₈ acting via C₈/C₄=C₂	248	2	C31:C8	248,1

Groups of order 249

		d	ρ	Label	ID
C₂₄₉	Cyclic group	249	1	C249	249,1

Groups of order 250

		d	ρ	Label	ID
C₂₅₀	Cyclic group	250	1	C250	250,2
D₁₂₅	Dihedral group	125	2+	D125	250,1

Groups of order 251

		d	ρ	Label	ID
C₂₅₁	Cyclic group	251	1	C251	251,1

Groups of order 252

		d	ρ	Label	ID
C₂₅₂	Cyclic group	252	1	C252	252,6
Dic₆₃	Dicyclic group; = C₉ ⋊Dic₇	252	2-	Dic63	252,5
C₇⋊C₃₆	The semidirect product of C₇ and C₃₆ acting via C₃₆/C₆=C₆	252	6	C7:C36	252,1
C₇×Dic₉	Direct product of C₇ and Dic₉	252	2	C7xDic9	252,3
C₉×Dic₇	Direct product of C₉ and Dic₇	252	2	C9xDic7	252,4
C₄×C₇⋊C₉	Direct product of C₄ and C₇⋊C₉	252	3	C4xC7:C9	252,2

Groups of order 253

		d	ρ	Label	ID
C₂₅₃	Cyclic group	253	1	C253	253,2
C₂₃⋊C₁₁	The semidirect product of C₂₃ and C₁₁ acting faithfully	23	11	C23:C11	253,1

Groups of order 254

		d	ρ	Label	ID
C₂₅₄	Cyclic group	254	1	C254	254,2
D₁₂₇	Dihedral group	127	2+	D127	254,1

Groups of order 255

		d	ρ	Label	ID
C₂₅₅	Cyclic group	255	1	C255	255,1

Groups of order 257

		d	ρ	Label	ID
C₂₅₇	Cyclic group	257	1	C257	257,1

Groups of order 258

		d	ρ	Label	ID
C₂₅₈	Cyclic group	258	1	C258	258,6
D₁₂₉	Dihedral group	129	2+	D129	258,5
C₄₃⋊C₆	The semidirect product of C₄₃ and C₆ acting faithfully	43	6+	C43:C6	258,1
S₃×C₄₃	Direct product of C₄₃ and S₃	129	2	S3xC43	258,3
C₃×D₄₃	Direct product of C₃ and D₄₃	129	2	C3xD43	258,4
C₂×C₄₃⋊C₃	Direct product of C₂ and C₄₃⋊C₃	86	3	C2xC43:C3	258,2

Groups of order 259

		d	ρ	Label	ID
C₂₅₉	Cyclic group	259	1	C259	259,1

Groups of order 260

		d	ρ	Label	ID
C₂₆₀	Cyclic group	260	1	C260	260,4
Dic₆₅	Dicyclic group; = C₆₅ ⋊₇ C₄	260	2-	Dic65	260,3
C₆₅⋊C₄	3^rd semidirect product of C₆₅ and C₄ acting faithfully	65	4	C65:C4	260,6
C₆₅⋊₂C₄	2^nd semidirect product of C₆₅ and C₄ acting faithfully	65	4+	C65:2C4	260,10
C₁₃⋊₃F₅	The semidirect product of C₁₃ and F₅ acting via F₅/D₅=C₂	65	4	C13:3F5	260,8
C₁₃⋊F₅	1^st semidirect product of C₁₃ and F₅ acting via F₅/C₅=C₄	65	4+	C13:F5	260,9
C₁₃×F₅	Direct product of C₁₃ and F₅	65	4	C13xF5	260,7
C₁₃×Dic₅	Direct product of C₁₃ and Dic₅	260	2	C13xDic5	260,1
C₅×Dic₁₃	Direct product of C₅ and Dic₁₃	260	2	C5xDic13	260,2
C₅×C₁₃⋊C₄	Direct product of C₅ and C₁₃⋊C₄	65	4	C5xC13:C4	260,5

Groups of order 261

		d	ρ	Label	ID
C₂₆₁	Cyclic group	261	1	C261	261,1

Groups of order 262

		d	ρ	Label	ID
C₂₆₂	Cyclic group	262	1	C262	262,2
D₁₃₁	Dihedral group	131	2+	D131	262,1

Groups of order 263

		d	ρ	Label	ID
C₂₆₃	Cyclic group	263	1	C263	263,1

Groups of order 264

		d	ρ	Label	ID
C₂₆₄	Cyclic group	264	1	C264	264,4
C₃₃⋊C₈	1^st semidirect product of C₃₃ and C₈ acting via C₈/C₄=C₂	264	2	C33:C8	264,3
C₁₁×C₃⋊C₈	Direct product of C₁₁ and C₃⋊C₈	264	2	C11xC3:C8	264,1
C₃×C₁₁⋊C₈	Direct product of C₃ and C₁₁⋊C₈	264	2	C3xC11:C8	264,2

Groups of order 265

		d	ρ	Label	ID
C₂₆₅	Cyclic group	265	1	C265	265,1

Groups of order 266

		d	ρ	Label	ID
C₂₆₆	Cyclic group	266	1	C266	266,4
D₁₃₃	Dihedral group	133	2+	D133	266,3
D₇×C₁₉	Direct product of C₁₉ and D₇	133	2	D7xC19	266,1
C₇×D₁₉	Direct product of C₇ and D₁₉	133	2	C7xD19	266,2

Groups of order 267

		d	ρ	Label	ID
C₂₆₇	Cyclic group	267	1	C267	267,1

Groups of order 268

		d	ρ	Label	ID
C₂₆₈	Cyclic group	268	1	C268	268,2
Dic₆₇	Dicyclic group; = C₆₇ ⋊C₄	268	2-	Dic67	268,1

Groups of order 269

		d	ρ	Label	ID
C₂₆₉	Cyclic group	269	1	C269	269,1

Groups of order 270

		d	ρ	Label	ID
C₂₇₀	Cyclic group	270	1	C270	270,4
D₁₃₅	Dihedral group	135	2+	D135	270,3
C₅×D₂₇	Direct product of C₅ and D₂₇	135	2	C5xD27	270,1
D₅×C₂₇	Direct product of C₂₇ and D₅	135	2	D5xC27	270,2

Groups of order 271

		d	ρ	Label	ID
C₂₇₁	Cyclic group	271	1	C271	271,1

Groups of order 272

		d	ρ	Label	ID
C₂₇₂	Cyclic group	272	1	C272	272,2
F₁₇	Frobenius group; = C₁₇ ⋊C₁₆ = AGL₁(𝔽₁₇) = Aut(D₁₇) = Hol(C₁₇)	17	16+	F17	272,50
C₁₇⋊₄C₁₆	The semidirect product of C₁₇ and C₁₆ acting via C₁₆/C₈=C₂	272	2	C17:4C16	272,1
C₁₇⋊₃C₁₆	The semidirect product of C₁₇ and C₁₆ acting via C₁₆/C₄=C₄	272	4	C17:3C16	272,3
C₃₄.C₈	The non-split extension by C₃₄ of C₈ acting faithfully	272	8-	C34.C8	272,28

Groups of order 273

		d	ρ	Label	ID
C₂₇₃	Cyclic group	273	1	C273	273,5
C₉₁⋊C₃	3^rd semidirect product of C₉₁ and C₃ acting faithfully	91	3	C91:C3	273,3
C₉₁⋊₄C₃	4^th semidirect product of C₉₁ and C₃ acting faithfully	91	3	C91:4C3	273,4
C₁₃×C₇⋊C₃	Direct product of C₁₃ and C₇⋊C₃	91	3	C13xC7:C3	273,1
C₇×C₁₃⋊C₃	Direct product of C₇ and C₁₃⋊C₃	91	3	C7xC13:C3	273,2

Groups of order 274

		d	ρ	Label	ID
C₂₇₄	Cyclic group	274	1	C274	274,2
D₁₃₇	Dihedral group	137	2+	D137	274,1

Groups of order 275

		d	ρ	Label	ID
C₂₇₅	Cyclic group	275	1	C275	275,2
C₁₁⋊C₂₅	The semidirect product of C₁₁ and C₂₅ acting via C₂₅/C₅=C₅	275	5	C11:C25	275,1

Groups of order 276

		d	ρ	Label	ID
C₂₇₆	Cyclic group	276	1	C276	276,4
Dic₆₉	Dicyclic group; = C₆₉ ⋊₁ C₄	276	2-	Dic69	276,3
Dic₃×C₂₃	Direct product of C₂₃ and Dic₃	276	2	Dic3xC23	276,1
C₃×Dic₂₃	Direct product of C₃ and Dic₂₃	276	2	C3xDic23	276,2

Groups of order 277

		d	ρ	Label	ID
C₂₇₇	Cyclic group	277	1	C277	277,1

Groups of order 278

		d	ρ	Label	ID
C₂₇₈	Cyclic group	278	1	C278	278,2
D₁₃₉	Dihedral group	139	2+	D139	278,1

Groups of order 279

		d	ρ	Label	ID
C₂₇₉	Cyclic group	279	1	C279	279,2
C₃₁⋊C₉	The semidirect product of C₃₁ and C₉ acting via C₉/C₃=C₃	279	3	C31:C9	279,1

Groups of order 280

		d	ρ	Label	ID
C₂₈₀	Cyclic group	280	1	C280	280,4
C₃₅⋊₃C₈	1^st semidirect product of C₃₅ and C₈ acting via C₈/C₄=C₂	280	2	C35:3C8	280,3
C₃₅⋊C₈	1^st semidirect product of C₃₅ and C₈ acting via C₈/C₂=C₄	280	4	C35:C8	280,6
C₅×C₇⋊C₈	Direct product of C₅ and C₇⋊C₈	280	2	C5xC7:C8	280,2
C₇×C₅⋊C₈	Direct product of C₇ and C₅⋊C₈	280	4	C7xC5:C8	280,5
C₇×C₅⋊₂C₈	Direct product of C₇ and C₅⋊₂C₈	280	2	C7xC5:2C8	280,1

Groups of order 281

		d	ρ	Label	ID
C₂₈₁	Cyclic group	281	1	C281	281,1

Groups of order 282

		d	ρ	Label	ID
C₂₈₂	Cyclic group	282	1	C282	282,4
D₁₄₁	Dihedral group	141	2+	D141	282,3
S₃×C₄₇	Direct product of C₄₇ and S₃	141	2	S3xC47	282,1
C₃×D₄₇	Direct product of C₃ and D₄₇	141	2	C3xD47	282,2

Groups of order 283

		d	ρ	Label	ID
C₂₈₃	Cyclic group	283	1	C283	283,1

Groups of order 284

		d	ρ	Label	ID
C₂₈₄	Cyclic group	284	1	C284	284,2
Dic₇₁	Dicyclic group; = C₇₁ ⋊C₄	284	2-	Dic71	284,1

Groups of order 285

		d	ρ	Label	ID
C₂₈₅	Cyclic group	285	1	C285	285,2
C₅×C₁₉⋊C₃	Direct product of C₅ and C₁₉⋊C₃	95	3	C5xC19:C3	285,1

Groups of order 286

		d	ρ	Label	ID
C₂₈₆	Cyclic group	286	1	C286	286,4
D₁₄₃	Dihedral group	143	2+	D143	286,3
C₁₃×D₁₁	Direct product of C₁₃ and D₁₁	143	2	C13xD11	286,1
C₁₁×D₁₃	Direct product of C₁₁ and D₁₃	143	2	C11xD13	286,2

Groups of order 287

		d	ρ	Label	ID
C₂₈₇	Cyclic group	287	1	C287	287,1

Groups of order 288

		d	ρ	Label	ID
C₂₈₈	Cyclic group	288	1	C288	288,2
C₉⋊C₃₂	The semidirect product of C₉ and C₃₂ acting via C₃₂/C₁₆=C₂	288	2	C9:C32	288,1

Groups of order 289

		d	ρ	Label	ID
C₂₈₉	Cyclic group	289	1	C289	289,1

Groups of order 290

		d	ρ	Label	ID
C₂₉₀	Cyclic group	290	1	C290	290,4
D₁₄₅	Dihedral group	145	2+	D145	290,3
D₅×C₂₉	Direct product of C₂₉ and D₅	145	2	D5xC29	290,1
C₅×D₂₉	Direct product of C₅ and D₂₉	145	2	C5xD29	290,2

Groups of order 291

		d	ρ	Label	ID
C₂₉₁	Cyclic group	291	1	C291	291,2
C₉₇⋊C₃	The semidirect product of C₉₇ and C₃ acting faithfully	97	3	C97:C3	291,1

Groups of order 292

		d	ρ	Label	ID
C₂₉₂	Cyclic group	292	1	C292	292,2
Dic₇₃	Dicyclic group; = C₇₃ ⋊₂ C₄	292	2-	Dic73	292,1
C₇₃⋊C₄	The semidirect product of C₇₃ and C₄ acting faithfully	73	4+	C73:C4	292,3

Groups of order 293

		d	ρ	Label	ID
C₂₉₃	Cyclic group	293	1	C293	293,1

Groups of order 294

		d	ρ	Label	ID
C₂₉₄	Cyclic group	294	1	C294	294,6
D₁₄₇	Dihedral group	147	2+	D147	294,5
C₄₉⋊C₆	The semidirect product of C₄₉ and C₆ acting faithfully	49	6+	C49:C6	294,1
S₃×C₄₉	Direct product of C₄₉ and S₃	147	2	S3xC49	294,3
C₃×D₄₉	Direct product of C₃ and D₄₉	147	2	C3xD49	294,4
C₂×C₄₉⋊C₃	Direct product of C₂ and C₄₉⋊C₃	98	3	C2xC49:C3	294,2

Groups of order 295

		d	ρ	Label	ID
C₂₉₅	Cyclic group	295	1	C295	295,1

Groups of order 296

		d	ρ	Label	ID
C₂₉₆	Cyclic group	296	1	C296	296,2
C₃₇⋊C₈	The semidirect product of C₃₇ and C₈ acting via C₈/C₂=C₄	296	4-	C37:C8	296,3
C₃₇⋊₂C₈	The semidirect product of C₃₇ and C₈ acting via C₈/C₄=C₂	296	2	C37:2C8	296,1

Groups of order 297

		d	ρ	Label	ID
C₂₉₇	Cyclic group	297	1	C297	297,1

Groups of order 298

		d	ρ	Label	ID
C₂₉₈	Cyclic group	298	1	C298	298,2
D₁₄₉	Dihedral group	149	2+	D149	298,1

Groups of order 299

		d	ρ	Label	ID
C₂₉₉	Cyclic group	299	1	C299	299,1

Groups of order 300

		d	ρ	Label	ID
C₃₀₀	Cyclic group	300	1	C300	300,4
Dic₇₅	Dicyclic group; = C₇₅ ⋊₃ C₄	300	2-	Dic75	300,3
C₇₅⋊C₄	1^st semidirect product of C₇₅ and C₄ acting faithfully	75	4	C75:C4	300,6
Dic₃×C₂₅	Direct product of C₂₅ and Dic₃	300	2	Dic3xC25	300,1
C₃×Dic₂₅	Direct product of C₃ and Dic₂₅	300	2	C3xDic25	300,2
C₃×C₂₅⋊C₄	Direct product of C₃ and C₂₅⋊C₄	75	4	C3xC25:C4	300,5

Groups of order 301

		d	ρ	Label	ID
C₃₀₁	Cyclic group	301	1	C301	301,2
C₄₃⋊C₇	The semidirect product of C₄₃ and C₇ acting faithfully	43	7	C43:C7	301,1

Groups of order 302

		d	ρ	Label	ID
C₃₀₂	Cyclic group	302	1	C302	302,2
D₁₅₁	Dihedral group	151	2+	D151	302,1

Groups of order 303

		d	ρ	Label	ID
C₃₀₃	Cyclic group	303	1	C303	303,1

Groups of order 304

		d	ρ	Label	ID
C₃₀₄	Cyclic group	304	1	C304	304,2
C₁₉⋊C₁₆	The semidirect product of C₁₉ and C₁₆ acting via C₁₆/C₈=C₂	304	2	C19:C16	304,1

Groups of order 305

		d	ρ	Label	ID
C₃₀₅	Cyclic group	305	1	C305	305,2
C₆₁⋊C₅	The semidirect product of C₆₁ and C₅ acting faithfully	61	5	C61:C5	305,1

Groups of order 306

		d	ρ	Label	ID
C₃₀₆	Cyclic group	306	1	C306	306,4
D₁₅₃	Dihedral group	153	2+	D153	306,3
C₁₇×D₉	Direct product of C₁₇ and D₉	153	2	C17xD9	306,1
C₉×D₁₇	Direct product of C₉ and D₁₇	153	2	C9xD17	306,2

Groups of order 307

		d	ρ	Label	ID
C₃₀₇	Cyclic group	307	1	C307	307,1

Groups of order 308

		d	ρ	Label	ID
C₃₀₈	Cyclic group	308	1	C308	308,4
Dic₇₇	Dicyclic group; = C₇₇ ⋊₁ C₄	308	2-	Dic77	308,3
C₁₁×Dic₇	Direct product of C₁₁ and Dic₇	308	2	C11xDic7	308,1
C₇×Dic₁₁	Direct product of C₇ and Dic₁₁	308	2	C7xDic11	308,2

Groups of order 309

		d	ρ	Label	ID
C₃₀₉	Cyclic group	309	1	C309	309,2
C₁₀₃⋊C₃	The semidirect product of C₁₀₃ and C₃ acting faithfully	103	3	C103:C3	309,1

Groups of order 310

		d	ρ	Label	ID
C₃₁₀	Cyclic group	310	1	C310	310,6
D₁₅₅	Dihedral group	155	2+	D155	310,5
C₃₁⋊C₁₀	The semidirect product of C₃₁ and C₁₀ acting faithfully	31	10+	C31:C10	310,1
D₅×C₃₁	Direct product of C₃₁ and D₅	155	2	D5xC31	310,3
C₅×D₃₁	Direct product of C₅ and D₃₁	155	2	C5xD31	310,4
C₂×C₃₁⋊C₅	Direct product of C₂ and C₃₁⋊C₅	62	5	C2xC31:C5	310,2

Groups of order 311

		d	ρ	Label	ID
C₃₁₁	Cyclic group	311	1	C311	311,1

Groups of order 312

		d	ρ	Label	ID
C₃₁₂	Cyclic group	312	1	C312	312,6
C₁₃⋊C₂₄	The semidirect product of C₁₃ and C₂₄ acting via C₂₄/C₂=C₁₂	104	12-	C13:C24	312,7
C₁₃⋊₂C₂₄	The semidirect product of C₁₃ and C₂₄ acting via C₂₄/C₄=C₆	104	6	C13:2C24	312,1
C₃₉⋊₃C₈	1^st semidirect product of C₃₉ and C₈ acting via C₈/C₄=C₂	312	2	C39:3C8	312,5
C₃₉⋊C₈	1^st semidirect product of C₃₉ and C₈ acting via C₈/C₂=C₄	312	4	C39:C8	312,14
C₈×C₁₃⋊C₃	Direct product of C₈ and C₁₃⋊C₃	104	3	C8xC13:C3	312,2
C₁₃×C₃⋊C₈	Direct product of C₁₃ and C₃⋊C₈	312	2	C13xC3:C8	312,3
C₃×C₁₃⋊C₈	Direct product of C₃ and C₁₃⋊C₈	312	4	C3xC13:C8	312,13
C₃×C₁₃⋊₂C₈	Direct product of C₃ and C₁₃⋊₂C₈	312	2	C3xC13:2C8	312,4

Groups of order 313

		d	ρ	Label	ID
C₃₁₃	Cyclic group	313	1	C313	313,1

Groups of order 314

		d	ρ	Label	ID
C₃₁₄	Cyclic group	314	1	C314	314,2
D₁₅₇	Dihedral group	157	2+	D157	314,1

Groups of order 315

		d	ρ	Label	ID
C₃₁₅	Cyclic group	315	1	C315	315,2
C₅×C₇⋊C₉	Direct product of C₅ and C₇⋊C₉	315	3	C5xC7:C9	315,1

Groups of order 316

		d	ρ	Label	ID
C₃₁₆	Cyclic group	316	1	C316	316,2
Dic₇₉	Dicyclic group; = C₇₉ ⋊C₄	316	2-	Dic79	316,1

Groups of order 317

		d	ρ	Label	ID
C₃₁₇	Cyclic group	317	1	C317	317,1

Groups of order 318

		d	ρ	Label	ID
C₃₁₈	Cyclic group	318	1	C318	318,4
D₁₅₉	Dihedral group	159	2+	D159	318,3
S₃×C₅₃	Direct product of C₅₃ and S₃	159	2	S3xC53	318,1
C₃×D₅₃	Direct product of C₃ and D₅₃	159	2	C3xD53	318,2

Groups of order 319

		d	ρ	Label	ID
C₃₁₉	Cyclic group	319	1	C319	319,1

Groups of order 320

		d	ρ	Label	ID
C₃₂₀	Cyclic group	320	1	C320	320,2
C₅⋊C₆₄	The semidirect product of C₅ and C₆₄ acting via C₆₄/C₁₆=C₄	320	4	C5:C64	320,3
C₅⋊₂C₆₄	The semidirect product of C₅ and C₆₄ acting via C₆₄/C₃₂=C₂	320	2	C5:2C64	320,1

Groups of order 321

		d	ρ	Label	ID
C₃₂₁	Cyclic group	321	1	C321	321,1

Groups of order 322

		d	ρ	Label	ID
C₃₂₂	Cyclic group	322	1	C322	322,4
D₁₆₁	Dihedral group	161	2+	D161	322,3
D₇×C₂₃	Direct product of C₂₃ and D₇	161	2	D7xC23	322,1
C₇×D₂₃	Direct product of C₇ and D₂₃	161	2	C7xD23	322,2

Groups of order 323

		d	ρ	Label	ID
C₃₂₃	Cyclic group	323	1	C323	323,1

Groups of order 324

		d	ρ	Label	ID
C₃₂₄	Cyclic group	324	1	C324	324,2
Dic₈₁	Dicyclic group; = C₈₁ ⋊C₄	324	2-	Dic81	324,1

Groups of order 325

		d	ρ	Label	ID
C₃₂₅	Cyclic group	325	1	C325	325,1

Groups of order 326

		d	ρ	Label	ID
C₃₂₆	Cyclic group	326	1	C326	326,2
D₁₆₃	Dihedral group	163	2+	D163	326,1

Groups of order 327

		d	ρ	Label	ID
C₃₂₇	Cyclic group	327	1	C327	327,2
C₁₀₉⋊C₃	The semidirect product of C₁₀₉ and C₃ acting faithfully	109	3	C109:C3	327,1

Groups of order 328

		d	ρ	Label	ID
C₃₂₈	Cyclic group	328	1	C328	328,2
C₄₁⋊C₈	The semidirect product of C₄₁ and C₈ acting faithfully	41	8+	C41:C8	328,12
C₄₁⋊₃C₈	The semidirect product of C₄₁ and C₈ acting via C₈/C₄=C₂	328	2	C41:3C8	328,1
C₄₁⋊₂C₈	The semidirect product of C₄₁ and C₈ acting via C₈/C₂=C₄	328	4-	C41:2C8	328,3

Groups of order 329

		d	ρ	Label	ID
C₃₂₉	Cyclic group	329	1	C329	329,1

Groups of order 330

		d	ρ	Label	ID
C₃₃₀	Cyclic group	330	1	C330	330,12
D₁₆₅	Dihedral group	165	2+	D165	330,11
C₃⋊F₁₁	The semidirect product of C₃ and F₁₁ acting via F₁₁/C₁₁⋊C₅=C₂	33	10+	C3:F11	330,3
C₃×F₁₁	Direct product of C₃ and F₁₁	33	10	C3xF11	330,1
S₃×C₅₅	Direct product of C₅₅ and S₃	165	2	S3xC55	330,8
D₅×C₃₃	Direct product of C₃₃ and D₅	165	2	D5xC33	330,6
C₃×D₅₅	Direct product of C₃ and D₅₅	165	2	C3xD55	330,7
C₅×D₃₃	Direct product of C₅ and D₃₃	165	2	C5xD33	330,9
C₁₅×D₁₁	Direct product of C₁₅ and D₁₁	165	2	C15xD11	330,5
C₁₁×D₁₅	Direct product of C₁₁ and D₁₅	165	2	C11xD15	330,10
S₃×C₁₁⋊C₅	Direct product of S₃ and C₁₁⋊C₅	33	10	S3xC11:C5	330,2
C₆×C₁₁⋊C₅	Direct product of C₆ and C₁₁⋊C₅	66	5	C6xC11:C5	330,4

Groups of order 331

		d	ρ	Label	ID
C₃₃₁	Cyclic group	331	1	C331	331,1

Groups of order 332

		d	ρ	Label	ID
C₃₃₂	Cyclic group	332	1	C332	332,2
Dic₈₃	Dicyclic group; = C₈₃ ⋊C₄	332	2-	Dic83	332,1

Groups of order 333

		d	ρ	Label	ID
C₃₃₃	Cyclic group	333	1	C333	333,2
C₃₇⋊C₉	The semidirect product of C₃₇ and C₉ acting faithfully	37	9	C37:C9	333,3
C₃₇⋊₂C₉	The semidirect product of C₃₇ and C₉ acting via C₉/C₃=C₃	333	3	C37:2C9	333,1

Groups of order 334

		d	ρ	Label	ID
C₃₃₄	Cyclic group	334	1	C334	334,2
D₁₆₇	Dihedral group	167	2+	D167	334,1

Groups of order 335

		d	ρ	Label	ID
C₃₃₅	Cyclic group	335	1	C335	335,1

Groups of order 336

		d	ρ	Label	ID
C₃₃₆	Cyclic group	336	1	C336	336,6
C₇⋊C₄₈	The semidirect product of C₇ and C₄₈ acting via C₄₈/C₈=C₆	112	6	C7:C48	336,1
C₂₁⋊C₁₆	1^st semidirect product of C₂₁ and C₁₆ acting via C₁₆/C₈=C₂	336	2	C21:C16	336,5
C₁₆×C₇⋊C₃	Direct product of C₁₆ and C₇⋊C₃	112	3	C16xC7:C3	336,2
C₇×C₃⋊C₁₆	Direct product of C₇ and C₃⋊C₁₆	336	2	C7xC3:C16	336,3
C₃×C₇⋊C₁₆	Direct product of C₃ and C₇⋊C₁₆	336	2	C3xC7:C16	336,4

Groups of order 337

		d	ρ	Label	ID
C₃₃₇	Cyclic group	337	1	C337	337,1

Groups of order 338

		d	ρ	Label	ID
C₃₃₈	Cyclic group	338	1	C338	338,2
D₁₆₉	Dihedral group	169	2+	D169	338,1

Groups of order 339

		d	ρ	Label	ID
C₃₃₉	Cyclic group	339	1	C339	339,1

Groups of order 340

		d	ρ	Label	ID
C₃₄₀	Cyclic group	340	1	C340	340,4
Dic₈₅	Dicyclic group; = C₈₅ ⋊₇ C₄	340	2-	Dic85	340,3
C₈₅⋊C₄	3^rd semidirect product of C₈₅ and C₄ acting faithfully	85	4	C85:C4	340,6
C₈₅⋊₂C₄	2^nd semidirect product of C₈₅ and C₄ acting faithfully	85	4+	C85:2C4	340,10
C₁₇⋊₃F₅	The semidirect product of C₁₇ and F₅ acting via F₅/D₅=C₂	85	4	C17:3F5	340,8
C₁₇⋊F₅	1^st semidirect product of C₁₇ and F₅ acting via F₅/C₅=C₄	85	4+	C17:F5	340,9
C₁₇×F₅	Direct product of C₁₇ and F₅	85	4	C17xF5	340,7
C₁₇×Dic₅	Direct product of C₁₇ and Dic₅	340	2	C17xDic5	340,1
C₅×Dic₁₇	Direct product of C₅ and Dic₁₇	340	2	C5xDic17	340,2
C₅×C₁₇⋊C₄	Direct product of C₅ and C₁₇⋊C₄	85	4	C5xC17:C4	340,5

Groups of order 341

		d	ρ	Label	ID
C₃₄₁	Cyclic group	341	1	C341	341,1

Groups of order 342

		d	ρ	Label	ID
C₃₄₂	Cyclic group	342	1	C342	342,6
D₁₇₁	Dihedral group	171	2+	D171	342,5
F₁₉	Frobenius group; = C₁₉ ⋊C₁₈ = AGL₁(𝔽₁₉) = Aut(D₁₉) = Hol(C₁₉)	19	18+	F19	342,7
C₅₇.C₆	The non-split extension by C₅₇ of C₆ acting faithfully	171	6	C57.C6	342,1
D₉×C₁₉	Direct product of C₁₉ and D₉	171	2	D9xC19	342,3
C₉×D₁₉	Direct product of C₉ and D₁₉	171	2	C9xD19	342,4
C₂×C₁₉⋊C₉	Direct product of C₂ and C₁₉⋊C₉	38	9	C2xC19:C9	342,8
C₂×C₁₉⋊₂C₉	Direct product of C₂ and C₁₉⋊₂C₉	342	3	C2xC19:2C9	342,2

Groups of order 343

		d	ρ	Label	ID
C₃₄₃	Cyclic group	343	1	C343	343,1

Groups of order 344

		d	ρ	Label	ID
C₃₄₄	Cyclic group	344	1	C344	344,2
C₄₃⋊C₈	The semidirect product of C₄₃ and C₈ acting via C₈/C₄=C₂	344	2	C43:C8	344,1

Groups of order 345

		d	ρ	Label	ID
C₃₄₅	Cyclic group	345	1	C345	345,1

Groups of order 346

		d	ρ	Label	ID
C₃₄₆	Cyclic group	346	1	C346	346,2
D₁₇₃	Dihedral group	173	2+	D173	346,1

Groups of order 347

		d	ρ	Label	ID
C₃₄₇	Cyclic group	347	1	C347	347,1

Groups of order 348

		d	ρ	Label	ID
C₃₄₈	Cyclic group	348	1	C348	348,4
Dic₈₇	Dicyclic group; = C₈₇ ⋊₃ C₄	348	2-	Dic87	348,3
C₈₇⋊C₄	1^st semidirect product of C₈₇ and C₄ acting faithfully	87	4	C87:C4	348,6
Dic₃×C₂₉	Direct product of C₂₉ and Dic₃	348	2	Dic3xC29	348,1
C₃×Dic₂₉	Direct product of C₃ and Dic₂₉	348	2	C3xDic29	348,2
C₃×C₂₉⋊C₄	Direct product of C₃ and C₂₉⋊C₄	87	4	C3xC29:C4	348,5

Groups of order 349

		d	ρ	Label	ID
C₃₄₉	Cyclic group	349	1	C349	349,1

Groups of order 350

		d	ρ	Label	ID
C₃₅₀	Cyclic group	350	1	C350	350,4
D₁₇₅	Dihedral group	175	2+	D175	350,3
C₇×D₂₅	Direct product of C₇ and D₂₅	175	2	C7xD25	350,1
D₇×C₂₅	Direct product of C₂₅ and D₇	175	2	D7xC25	350,2

Groups of order 351

		d	ρ	Label	ID
C₃₅₁	Cyclic group	351	1	C351	351,2
C₁₃⋊C₂₇	The semidirect product of C₁₃ and C₂₇ acting via C₂₇/C₉=C₃	351	3	C13:C27	351,1

Groups of order 352

		d	ρ	Label	ID
C₃₅₂	Cyclic group	352	1	C352	352,2
C₁₁⋊C₃₂	The semidirect product of C₁₁ and C₃₂ acting via C₃₂/C₁₆=C₂	352	2	C11:C32	352,1

Groups of order 353

		d	ρ	Label	ID
C₃₅₃	Cyclic group	353	1	C353	353,1

Groups of order 354

		d	ρ	Label	ID
C₃₅₄	Cyclic group	354	1	C354	354,4
D₁₇₇	Dihedral group	177	2+	D177	354,3
S₃×C₅₉	Direct product of C₅₉ and S₃	177	2	S3xC59	354,1
C₃×D₅₉	Direct product of C₃ and D₅₉	177	2	C3xD59	354,2

Groups of order 355

		d	ρ	Label	ID
C₃₅₅	Cyclic group	355	1	C355	355,2
C₇₁⋊C₅	The semidirect product of C₇₁ and C₅ acting faithfully	71	5	C71:C5	355,1

Groups of order 356

		d	ρ	Label	ID
C₃₅₆	Cyclic group	356	1	C356	356,2
Dic₈₉	Dicyclic group; = C₈₉ ⋊₂ C₄	356	2-	Dic89	356,1
C₈₉⋊C₄	The semidirect product of C₈₉ and C₄ acting faithfully	89	4+	C89:C4	356,3

Groups of order 357

		d	ρ	Label	ID
C₃₅₇	Cyclic group	357	1	C357	357,2
C₁₇×C₇⋊C₃	Direct product of C₁₇ and C₇⋊C₃	119	3	C17xC7:C3	357,1

Groups of order 358

		d	ρ	Label	ID
C₃₅₈	Cyclic group	358	1	C358	358,2
D₁₇₉	Dihedral group	179	2+	D179	358,1

Groups of order 359

		d	ρ	Label	ID
C₃₅₉	Cyclic group	359	1	C359	359,1

Groups of order 360

		d	ρ	Label	ID
C₃₆₀	Cyclic group	360	1	C360	360,4
C₄₅⋊₃C₈	1^st semidirect product of C₄₅ and C₈ acting via C₈/C₄=C₂	360	2	C45:3C8	360,3
C₄₅⋊C₈	1^st semidirect product of C₄₅ and C₈ acting via C₈/C₂=C₄	360	4	C45:C8	360,6
C₅×C₉⋊C₈	Direct product of C₅ and C₉⋊C₈	360	2	C5xC9:C8	360,1
C₉×C₅⋊C₈	Direct product of C₉ and C₅⋊C₈	360	4	C9xC5:C8	360,5
C₉×C₅⋊₂C₈	Direct product of C₉ and C₅⋊₂C₈	360	2	C9xC5:2C8	360,2

Groups of order 361

		d	ρ	Label	ID
C₃₆₁	Cyclic group	361	1	C361	361,1

Groups of order 362

		d	ρ	Label	ID
C₃₆₂	Cyclic group	362	1	C362	362,2
D₁₈₁	Dihedral group	181	2+	D181	362,1

Groups of order 363

		d	ρ	Label	ID
C₃₆₃	Cyclic group	363	1	C363	363,1

Groups of order 364

		d	ρ	Label	ID
C₃₆₄	Cyclic group	364	1	C364	364,4
Dic₉₁	Dicyclic group; = C₉₁ ⋊₃ C₄	364	2-	Dic91	364,3
C₉₁⋊C₄	1^st semidirect product of C₉₁ and C₄ acting faithfully	91	4	C91:C4	364,6
C₁₃×Dic₇	Direct product of C₁₃ and Dic₇	364	2	C13xDic7	364,1
C₇×Dic₁₃	Direct product of C₇ and Dic₁₃	364	2	C7xDic13	364,2
C₇×C₁₃⋊C₄	Direct product of C₇ and C₁₃⋊C₄	91	4	C7xC13:C4	364,5

Groups of order 365

		d	ρ	Label	ID
C₃₆₅	Cyclic group	365	1	C365	365,1

Groups of order 366

		d	ρ	Label	ID
C₃₆₆	Cyclic group	366	1	C366	366,6
D₁₈₃	Dihedral group	183	2+	D183	366,5
C₆₁⋊C₆	The semidirect product of C₆₁ and C₆ acting faithfully	61	6+	C61:C6	366,1
S₃×C₆₁	Direct product of C₆₁ and S₃	183	2	S3xC61	366,3
C₃×D₆₁	Direct product of C₃ and D₆₁	183	2	C3xD61	366,4
C₂×C₆₁⋊C₃	Direct product of C₂ and C₆₁⋊C₃	122	3	C2xC61:C3	366,2

Groups of order 367

		d	ρ	Label	ID
C₃₆₇	Cyclic group	367	1	C367	367,1

Groups of order 368

		d	ρ	Label	ID
C₃₆₈	Cyclic group	368	1	C368	368,2
C₂₃⋊C₁₆	The semidirect product of C₂₃ and C₁₆ acting via C₁₆/C₈=C₂	368	2	C23:C16	368,1

Groups of order 369

		d	ρ	Label	ID
C₃₆₉	Cyclic group	369	1	C369	369,1

Groups of order 370

		d	ρ	Label	ID
C₃₇₀	Cyclic group	370	1	C370	370,4
D₁₈₅	Dihedral group	185	2+	D185	370,3
D₅×C₃₇	Direct product of C₃₇ and D₅	185	2	D5xC37	370,1
C₅×D₃₇	Direct product of C₅ and D₃₇	185	2	C5xD37	370,2

Groups of order 371

		d	ρ	Label	ID
C₃₇₁	Cyclic group	371	1	C371	371,1

Groups of order 372

		d	ρ	Label	ID
C₃₇₂	Cyclic group	372	1	C372	372,6
Dic₉₃	Dicyclic group; = C₉₃ ⋊₁ C₄	372	2-	Dic93	372,5
C₃₁⋊C₁₂	The semidirect product of C₃₁ and C₁₂ acting via C₁₂/C₂=C₆	124	6-	C31:C12	372,1
Dic₃×C₃₁	Direct product of C₃₁ and Dic₃	372	2	Dic3xC31	372,3
C₃×Dic₃₁	Direct product of C₃ and Dic₃₁	372	2	C3xDic31	372,4
C₄×C₃₁⋊C₃	Direct product of C₄ and C₃₁⋊C₃	124	3	C4xC31:C3	372,2

Groups of order 373

		d	ρ	Label	ID
C₃₇₃	Cyclic group	373	1	C373	373,1

Groups of order 374

		d	ρ	Label	ID
C₃₇₄	Cyclic group	374	1	C374	374,4
D₁₈₇	Dihedral group	187	2+	D187	374,3
C₁₇×D₁₁	Direct product of C₁₇ and D₁₁	187	2	C17xD11	374,1
C₁₁×D₁₇	Direct product of C₁₁ and D₁₇	187	2	C11xD17	374,2

Groups of order 375

		d	ρ	Label	ID
C₃₇₅	Cyclic group	375	1	C375	375,1

Groups of order 376

		d	ρ	Label	ID
C₃₇₆	Cyclic group	376	1	C376	376,2
C₄₇⋊C₈	The semidirect product of C₄₇ and C₈ acting via C₈/C₄=C₂	376	2	C47:C8	376,1

Groups of order 377

		d	ρ	Label	ID
C₃₇₇	Cyclic group	377	1	C377	377,1

Groups of order 378

		d	ρ	Label	ID
C₃₇₈	Cyclic group	378	1	C378	378,6
D₁₈₉	Dihedral group	189	2+	D189	378,5
C₇⋊C₅₄	The semidirect product of C₇ and C₅₄ acting via C₅₄/C₉=C₆	189	6	C7:C54	378,1
C₇×D₂₇	Direct product of C₇ and D₂₇	189	2	C7xD27	378,3
D₇×C₂₇	Direct product of C₂₇ and D₇	189	2	D7xC27	378,4
C₂×C₇⋊C₂₇	Direct product of C₂ and C₇⋊C₂₇	378	3	C2xC7:C27	378,2

Groups of order 379

		d	ρ	Label	ID
C₃₇₉	Cyclic group	379	1	C379	379,1

Groups of order 380

		d	ρ	Label	ID
C₃₈₀	Cyclic group	380	1	C380	380,4
Dic₉₅	Dicyclic group; = C₉₅ ⋊₃ C₄	380	2-	Dic95	380,3
C₁₉⋊F₅	The semidirect product of C₁₉ and F₅ acting via F₅/D₅=C₂	95	4	C19:F5	380,6
C₁₉×F₅	Direct product of C₁₉ and F₅	95	4	C19xF5	380,5
C₁₉×Dic₅	Direct product of C₁₉ and Dic₅	380	2	C19xDic5	380,1
C₅×Dic₁₉	Direct product of C₅ and Dic₁₉	380	2	C5xDic19	380,2

Groups of order 381

		d	ρ	Label	ID
C₃₈₁	Cyclic group	381	1	C381	381,2
C₁₂₇⋊C₃	The semidirect product of C₁₂₇ and C₃ acting faithfully	127	3	C127:C3	381,1

Groups of order 382

		d	ρ	Label	ID
C₃₈₂	Cyclic group	382	1	C382	382,2
D₁₉₁	Dihedral group	191	2+	D191	382,1

Groups of order 383

		d	ρ	Label	ID
C₃₈₃	Cyclic group	383	1	C383	383,1

Groups of order 385

		d	ρ	Label	ID
C₃₈₅	Cyclic group	385	1	C385	385,2
C₇×C₁₁⋊C₅	Direct product of C₇ and C₁₁⋊C₅	77	5	C7xC11:C5	385,1

Groups of order 386

		d	ρ	Label	ID
C₃₈₆	Cyclic group	386	1	C386	386,2
D₁₉₃	Dihedral group	193	2+	D193	386,1

Groups of order 387

		d	ρ	Label	ID
C₃₈₇	Cyclic group	387	1	C387	387,2
C₄₃⋊C₉	The semidirect product of C₄₃ and C₉ acting via C₉/C₃=C₃	387	3	C43:C9	387,1

Groups of order 388

		d	ρ	Label	ID
C₃₈₈	Cyclic group	388	1	C388	388,2
Dic₉₇	Dicyclic group; = C₉₇ ⋊₂ C₄	388	2-	Dic97	388,1
C₉₇⋊C₄	The semidirect product of C₉₇ and C₄ acting faithfully	97	4+	C97:C4	388,3

Groups of order 389

		d	ρ	Label	ID
C₃₈₉	Cyclic group	389	1	C389	389,1

Groups of order 390

		d	ρ	Label	ID
C₃₉₀	Cyclic group	390	1	C390	390,12
D₁₉₅	Dihedral group	195	2+	D195	390,11
D₆₅⋊C₃	The semidirect product of D₆₅ and C₃ acting faithfully	65	6+	D65:C3	390,3
S₃×C₆₅	Direct product of C₆₅ and S₃	195	2	S3xC65	390,8
D₅×C₃₉	Direct product of C₃₉ and D₅	195	2	D5xC39	390,6
C₃×D₆₅	Direct product of C₃ and D₆₅	195	2	C3xD65	390,7
C₅×D₃₉	Direct product of C₅ and D₃₉	195	2	C5xD39	390,9
C₁₅×D₁₃	Direct product of C₁₅ and D₁₃	195	2	C15xD13	390,5
C₁₃×D₁₅	Direct product of C₁₃ and D₁₅	195	2	C13xD15	390,10
C₅×C₁₃⋊C₆	Direct product of C₅ and C₁₃⋊C₆	65	6	C5xC13:C6	390,1
D₅×C₁₃⋊C₃	Direct product of D₅ and C₁₃⋊C₃	65	6	D5xC13:C3	390,2
C₁₀×C₁₃⋊C₃	Direct product of C₁₀ and C₁₃⋊C₃	130	3	C10xC13:C3	390,4

Groups of order 391

		d	ρ	Label	ID
C₃₉₁	Cyclic group	391	1	C391	391,1

Groups of order 392

		d	ρ	Label	ID
C₃₉₂	Cyclic group	392	1	C392	392,2
C₄₉⋊C₈	The semidirect product of C₄₉ and C₈ acting via C₈/C₄=C₂	392	2	C49:C8	392,1

Groups of order 393

		d	ρ	Label	ID
C₃₉₃	Cyclic group	393	1	C393	393,1

Groups of order 394

		d	ρ	Label	ID
C₃₉₄	Cyclic group	394	1	C394	394,2
D₁₉₇	Dihedral group	197	2+	D197	394,1

Groups of order 395

		d	ρ	Label	ID
C₃₉₅	Cyclic group	395	1	C395	395,1

Groups of order 396

		d	ρ	Label	ID
C₃₉₆	Cyclic group	396	1	C396	396,4
Dic₉₉	Dicyclic group; = C₉₉ ⋊₁ C₄	396	2-	Dic99	396,3
C₁₁×Dic₉	Direct product of C₁₁ and Dic₉	396	2	C11xDic9	396,1
C₉×Dic₁₁	Direct product of C₉ and Dic₁₁	396	2	C9xDic11	396,2

Groups of order 397

		d	ρ	Label	ID
C₃₉₇	Cyclic group	397	1	C397	397,1

Groups of order 398

		d	ρ	Label	ID
C₃₉₈	Cyclic group	398	1	C398	398,2
D₁₉₉	Dihedral group	199	2+	D199	398,1

Groups of order 399

		d	ρ	Label	ID
C₃₉₉	Cyclic group	399	1	C399	399,5
C₁₃₃⋊C₃	3^rd semidirect product of C₁₃₃ and C₃ acting faithfully	133	3	C133:C3	399,3
C₁₃₃⋊₄C₃	4^th semidirect product of C₁₃₃ and C₃ acting faithfully	133	3	C133:4C3	399,4
C₁₉×C₇⋊C₃	Direct product of C₁₉ and C₇⋊C₃	133	3	C19xC7:C3	399,1
C₇×C₁₉⋊C₃	Direct product of C₇ and C₁₉⋊C₃	133	3	C7xC19:C3	399,2

Groups of order 400

		d	ρ	Label	ID
C₄₀₀	Cyclic group	400	1	C400	400,2
C₂₅⋊C₁₆	The semidirect product of C₂₅ and C₁₆ acting via C₁₆/C₄=C₄	400	4	C25:C16	400,3
C₂₅⋊₂C₁₆	The semidirect product of C₂₅ and C₁₆ acting via C₁₆/C₈=C₂	400	2	C25:2C16	400,1

Groups of order 401

		d	ρ	Label	ID
C₄₀₁	Cyclic group	401	1	C401	401,1

Groups of order 402

		d	ρ	Label	ID
C₄₀₂	Cyclic group	402	1	C402	402,6
D₂₀₁	Dihedral group	201	2+	D201	402,5
C₆₇⋊C₆	The semidirect product of C₆₇ and C₆ acting faithfully	67	6+	C67:C6	402,1
S₃×C₆₇	Direct product of C₆₇ and S₃	201	2	S3xC67	402,3
C₃×D₆₇	Direct product of C₃ and D₆₇	201	2	C3xD67	402,4
C₂×C₆₇⋊C₃	Direct product of C₂ and C₆₇⋊C₃	134	3	C2xC67:C3	402,2

Groups of order 403

		d	ρ	Label	ID
C₄₀₃	Cyclic group	403	1	C403	403,1

Groups of order 404

		d	ρ	Label	ID
C₄₀₄	Cyclic group	404	1	C404	404,2
Dic₁₀₁	Dicyclic group; = C₁₀₁ ⋊₂ C₄	404	2-	Dic101	404,1
C₁₀₁⋊C₄	The semidirect product of C₁₀₁ and C₄ acting faithfully	101	4+	C101:C4	404,3

Groups of order 405

		d	ρ	Label	ID
C₄₀₅	Cyclic group	405	1	C405	405,1

Groups of order 406

		d	ρ	Label	ID
C₄₀₆	Cyclic group	406	1	C406	406,6
D₂₀₃	Dihedral group	203	2+	D203	406,5
C₂₉⋊C₁₄	The semidirect product of C₂₉ and C₁₄ acting faithfully	29	14+	C29:C14	406,1
D₇×C₂₉	Direct product of C₂₉ and D₇	203	2	D7xC29	406,3
C₇×D₂₉	Direct product of C₇ and D₂₉	203	2	C7xD29	406,4
C₂×C₂₉⋊C₇	Direct product of C₂ and C₂₉⋊C₇	58	7	C2xC29:C7	406,2

Groups of order 407

		d	ρ	Label	ID
C₄₀₇	Cyclic group	407	1	C407	407,1

Groups of order 408

		d	ρ	Label	ID
C₄₀₈	Cyclic group	408	1	C408	408,4
C₅₁⋊C₈	1^st semidirect product of C₅₁ and C₈ acting faithfully	51	8	C51:C8	408,34
C₅₁⋊₅C₈	1^st semidirect product of C₅₁ and C₈ acting via C₈/C₄=C₂	408	2	C51:5C8	408,3
C₅₁⋊₃C₈	1^st semidirect product of C₅₁ and C₈ acting via C₈/C₂=C₄	408	4	C51:3C8	408,6
C₃×C₁₇⋊C₈	Direct product of C₃ and C₁₇⋊C₈	51	8	C3xC17:C8	408,33
C₁₇×C₃⋊C₈	Direct product of C₁₇ and C₃⋊C₈	408	2	C17xC3:C8	408,1
C₃×C₁₇⋊₃C₈	Direct product of C₃ and C₁₇⋊₃C₈	408	2	C3xC17:3C8	408,2
C₃×C₁₇⋊₂C₈	Direct product of C₃ and C₁₇⋊₂C₈	408	4	C3xC17:2C8	408,5

Groups of order 409

		d	ρ	Label	ID
C₄₀₉	Cyclic group	409	1	C409	409,1

Groups of order 410

		d	ρ	Label	ID
C₄₁₀	Cyclic group	410	1	C410	410,6
D₂₀₅	Dihedral group	205	2+	D205	410,5
C₄₁⋊C₁₀	The semidirect product of C₄₁ and C₁₀ acting faithfully	41	10+	C41:C10	410,1
D₅×C₄₁	Direct product of C₄₁ and D₅	205	2	D5xC41	410,3
C₅×D₄₁	Direct product of C₅ and D₄₁	205	2	C5xD41	410,4
C₂×C₄₁⋊C₅	Direct product of C₂ and C₄₁⋊C₅	82	5	C2xC41:C5	410,2

Groups of order 411

		d	ρ	Label	ID
C₄₁₁	Cyclic group	411	1	C411	411,1

Groups of order 412

		d	ρ	Label	ID
C₄₁₂	Cyclic group	412	1	C412	412,2
Dic₁₀₃	Dicyclic group; = C₁₀₃ ⋊C₄	412	2-	Dic103	412,1

Groups of order 413

		d	ρ	Label	ID
C₄₁₃	Cyclic group	413	1	C413	413,1

Groups of order 414

		d	ρ	Label	ID
C₄₁₄	Cyclic group	414	1	C414	414,4
D₂₀₇	Dihedral group	207	2+	D207	414,3
D₉×C₂₃	Direct product of C₂₃ and D₉	207	2	D9xC23	414,1
C₉×D₂₃	Direct product of C₉ and D₂₃	207	2	C9xD23	414,2

Groups of order 415

		d	ρ	Label	ID
C₄₁₅	Cyclic group	415	1	C415	415,1

Groups of order 416

		d	ρ	Label	ID
C₄₁₆	Cyclic group	416	1	C416	416,2
C₁₃⋊C₃₂	The semidirect product of C₁₃ and C₃₂ acting via C₃₂/C₈=C₄	416	4	C13:C32	416,3
C₁₃⋊₂C₃₂	The semidirect product of C₁₃ and C₃₂ acting via C₃₂/C₁₆=C₂	416	2	C13:2C32	416,1

Groups of order 417

		d	ρ	Label	ID
C₄₁₇	Cyclic group	417	1	C417	417,2
C₁₃₉⋊C₃	The semidirect product of C₁₃₉ and C₃ acting faithfully	139	3	C139:C3	417,1

Groups of order 418

		d	ρ	Label	ID
C₄₁₈	Cyclic group	418	1	C418	418,4
D₂₀₉	Dihedral group	209	2+	D209	418,3
C₁₉×D₁₁	Direct product of C₁₉ and D₁₁	209	2	C19xD11	418,1
C₁₁×D₁₉	Direct product of C₁₁ and D₁₉	209	2	C11xD19	418,2

Groups of order 419

		d	ρ	Label	ID
C₄₁₉	Cyclic group	419	1	C419	419,1

Groups of order 420

		d	ρ	Label	ID
C₄₂₀	Cyclic group	420	1	C420	420,12
Dic₁₀₅	Dicyclic group; = C₃ ⋊Dic₃₅	420	2-	Dic105	420,11
C₃₅⋊C₁₂	1^st semidirect product of C₃₅ and C₁₂ acting faithfully	35	12	C35:C12	420,15
C₅⋊Dic₂₁	The semidirect product of C₅ and Dic₂₁ acting via Dic₂₁/C₂₁=C₄	105	4	C5:Dic21	420,23
C₃₅⋊₃C₁₂	1^st semidirect product of C₃₅ and C₁₂ acting via C₁₂/C₂=C₆	140	6-	C35:3C12	420,3
F₅×C₂₁	Direct product of C₂₁ and F₅	105	4	F5xC21	420,20
C₁₅×Dic₇	Direct product of C₁₅ and Dic₇	420	2	C15xDic7	420,5
Dic₅×C₂₁	Direct product of C₂₁ and Dic₅	420	2	Dic5xC21	420,6
C₃×Dic₃₅	Direct product of C₃ and Dic₃₅	420	2	C3xDic35	420,7
Dic₃×C₃₅	Direct product of C₃₅ and Dic₃	420	2	Dic3xC35	420,8
C₅×Dic₂₁	Direct product of C₅ and Dic₂₁	420	2	C5xDic21	420,9
C₇×Dic₁₅	Direct product of C₇ and Dic₁₅	420	2	C7xDic15	420,10
F₅×C₇⋊C₃	Direct product of F₅ and C₇⋊C₃	35	12	F5xC7:C3	420,14
C₃×C₇⋊F₅	Direct product of C₃ and C₇⋊F₅	105	4	C3xC7:F5	420,21
C₇×C₃⋊F₅	Direct product of C₇ and C₃⋊F₅	105	4	C7xC3:F5	420,22
C₅×C₇⋊C₁₂	Direct product of C₅ and C₇⋊C₁₂	140	6	C5xC7:C12	420,1
C₂₀×C₇⋊C₃	Direct product of C₂₀ and C₇⋊C₃	140	3	C20xC7:C3	420,4
Dic₅×C₇⋊C₃	Direct product of Dic₅ and C₇⋊C₃	140	6	Dic5xC7:C3	420,2

Groups of order 421

		d	ρ	Label	ID
C₄₂₁	Cyclic group	421	1	C421	421,1

Groups of order 422

		d	ρ	Label	ID
C₄₂₂	Cyclic group	422	1	C422	422,2
D₂₁₁	Dihedral group	211	2+	D211	422,1

Groups of order 423

		d	ρ	Label	ID
C₄₂₃	Cyclic group	423	1	C423	423,1

Groups of order 424

		d	ρ	Label	ID
C₄₂₄	Cyclic group	424	1	C424	424,2
C₅₃⋊C₈	The semidirect product of C₅₃ and C₈ acting via C₈/C₂=C₄	424	4-	C53:C8	424,3
C₅₃⋊₂C₈	The semidirect product of C₅₃ and C₈ acting via C₈/C₄=C₂	424	2	C53:2C8	424,1

Groups of order 425

		d	ρ	Label	ID
C₄₂₅	Cyclic group	425	1	C425	425,1

Groups of order 426

		d	ρ	Label	ID
C₄₂₆	Cyclic group	426	1	C426	426,4
D₂₁₃	Dihedral group	213	2+	D213	426,3
S₃×C₇₁	Direct product of C₇₁ and S₃	213	2	S3xC71	426,1
C₃×D₇₁	Direct product of C₃ and D₇₁	213	2	C3xD71	426,2

Groups of order 427

		d	ρ	Label	ID
C₄₂₇	Cyclic group	427	1	C427	427,1

Groups of order 428

		d	ρ	Label	ID
C₄₂₈	Cyclic group	428	1	C428	428,2
Dic₁₀₇	Dicyclic group; = C₁₀₇ ⋊C₄	428	2-	Dic107	428,1

Groups of order 429

		d	ρ	Label	ID
C₄₂₉	Cyclic group	429	1	C429	429,2
C₁₁×C₁₃⋊C₃	Direct product of C₁₁ and C₁₃⋊C₃	143	3	C11xC13:C3	429,1

Groups of order 430

		d	ρ	Label	ID
C₄₃₀	Cyclic group	430	1	C430	430,4
D₂₁₅	Dihedral group	215	2+	D215	430,3
D₅×C₄₃	Direct product of C₄₃ and D₅	215	2	D5xC43	430,1
C₅×D₄₃	Direct product of C₅ and D₄₃	215	2	C5xD43	430,2

Groups of order 431

		d	ρ	Label	ID
C₄₃₁	Cyclic group	431	1	C431	431,1

Groups of order 432

		d	ρ	Label	ID
C₄₃₂	Cyclic group	432	1	C432	432,2
C₂₇⋊C₁₆	The semidirect product of C₂₇ and C₁₆ acting via C₁₆/C₈=C₂	432	2	C27:C16	432,1

Groups of order 433

		d	ρ	Label	ID
C₄₃₃	Cyclic group	433	1	C433	433,1

Groups of order 434

		d	ρ	Label	ID
C₄₃₄	Cyclic group	434	1	C434	434,4
D₂₁₇	Dihedral group	217	2+	D217	434,3
D₇×C₃₁	Direct product of C₃₁ and D₇	217	2	D7xC31	434,1
C₇×D₃₁	Direct product of C₇ and D₃₁	217	2	C7xD31	434,2

Groups of order 435

		d	ρ	Label	ID
C₄₃₅	Cyclic group	435	1	C435	435,1

Groups of order 436

		d	ρ	Label	ID
C₄₃₆	Cyclic group	436	1	C436	436,2
Dic₁₀₉	Dicyclic group; = C₁₀₉ ⋊₂ C₄	436	2-	Dic109	436,1
C₁₀₉⋊C₄	The semidirect product of C₁₀₉ and C₄ acting faithfully	109	4+	C109:C4	436,3

Groups of order 437

		d	ρ	Label	ID
C₄₃₇	Cyclic group	437	1	C437	437,1

Groups of order 438

		d	ρ	Label	ID
C₄₃₈	Cyclic group	438	1	C438	438,6
D₂₁₉	Dihedral group	219	2+	D219	438,5
C₇₃⋊C₆	The semidirect product of C₇₃ and C₆ acting faithfully	73	6+	C73:C6	438,1
S₃×C₇₃	Direct product of C₇₃ and S₃	219	2	S3xC73	438,3
C₃×D₇₃	Direct product of C₃ and D₇₃	219	2	C3xD73	438,4
C₂×C₇₃⋊C₃	Direct product of C₂ and C₇₃⋊C₃	146	3	C2xC73:C3	438,2

Groups of order 439

		d	ρ	Label	ID
C₄₃₉	Cyclic group	439	1	C439	439,1

Groups of order 440

		d	ρ	Label	ID
C₄₄₀	Cyclic group	440	1	C440	440,6
C₁₁⋊C₄₀	The semidirect product of C₁₁ and C₄₀ acting via C₄₀/C₄=C₁₀	88	10	C11:C40	440,1
C₅₅⋊₃C₈	1^st semidirect product of C₅₅ and C₈ acting via C₈/C₄=C₂	440	2	C55:3C8	440,5
C₅₅⋊C₈	1^st semidirect product of C₅₅ and C₈ acting via C₈/C₂=C₄	440	4	C55:C8	440,16
C₈×C₁₁⋊C₅	Direct product of C₈ and C₁₁⋊C₅	88	5	C8xC11:C5	440,2
C₅×C₁₁⋊C₈	Direct product of C₅ and C₁₁⋊C₈	440	2	C5xC11:C8	440,4
C₁₁×C₅⋊C₈	Direct product of C₁₁ and C₅⋊C₈	440	4	C11xC5:C8	440,15
C₁₁×C₅⋊₂C₈	Direct product of C₁₁ and C₅⋊₂C₈	440	2	C11xC5:2C8	440,3

Groups of order 441

		d	ρ	Label	ID
C₄₄₁	Cyclic group	441	1	C441	441,2
C₄₉⋊C₉	The semidirect product of C₄₉ and C₉ acting via C₉/C₃=C₃	441	3	C49:C9	441,1

Groups of order 442

		d	ρ	Label	ID
C₄₄₂	Cyclic group	442	1	C442	442,4
D₂₂₁	Dihedral group	221	2+	D221	442,3
C₁₇×D₁₃	Direct product of C₁₇ and D₁₃	221	2	C17xD13	442,1
C₁₃×D₁₇	Direct product of C₁₃ and D₁₇	221	2	C13xD17	442,2

Groups of order 443

		d	ρ	Label	ID
C₄₄₃	Cyclic group	443	1	C443	443,1

Groups of order 444

		d	ρ	Label	ID
C₄₄₄	Cyclic group	444	1	C444	444,6
Dic₁₁₁	Dicyclic group; = C₃ ⋊Dic₃₇	444	2-	Dic111	444,5
C₃₇⋊C₁₂	The semidirect product of C₃₇ and C₁₂ acting faithfully	37	12+	C37:C12	444,7
C₃₇⋊Dic₃	The semidirect product of C₃₇ and Dic₃ acting via Dic₃/C₃=C₄	111	4	C37:Dic3	444,10
C₇₄.C₆	The non-split extension by C₇₄ of C₆ acting faithfully	148	6-	C74.C6	444,1
Dic₃×C₃₇	Direct product of C₃₇ and Dic₃	444	2	Dic3xC37	444,3
C₃×Dic₃₇	Direct product of C₃ and Dic₃₇	444	2	C3xDic37	444,4
C₃×C₃₇⋊C₄	Direct product of C₃ and C₃₇⋊C₄	111	4	C3xC37:C4	444,9
C₄×C₃₇⋊C₃	Direct product of C₄ and C₃₇⋊C₃	148	3	C4xC37:C3	444,2

Groups of order 445

		d	ρ	Label	ID
C₄₄₅	Cyclic group	445	1	C445	445,1

Groups of order 446

		d	ρ	Label	ID
C₄₄₆	Cyclic group	446	1	C446	446,2
D₂₂₃	Dihedral group	223	2+	D223	446,1

Groups of order 447

		d	ρ	Label	ID
C₄₄₇	Cyclic group	447	1	C447	447,1

Groups of order 448

		d	ρ	Label	ID
C₄₄₈	Cyclic group	448	1	C448	448,2
C₇⋊C₆₄	The semidirect product of C₇ and C₆₄ acting via C₆₄/C₃₂=C₂	448	2	C7:C64	448,1

Groups of order 449

		d	ρ	Label	ID
C₄₄₉	Cyclic group	449	1	C449	449,1

Groups of order 450

		d	ρ	Label	ID
C₄₅₀	Cyclic group	450	1	C450	450,4
D₂₂₅	Dihedral group	225	2+	D225	450,3
D₉×C₂₅	Direct product of C₂₅ and D₉	225	2	D9xC25	450,1
C₉×D₂₅	Direct product of C₉ and D₂₅	225	2	C9xD25	450,2

Groups of order 451

		d	ρ	Label	ID
C₄₅₁	Cyclic group	451	1	C451	451,1

Groups of order 452

		d	ρ	Label	ID
C₄₅₂	Cyclic group	452	1	C452	452,2
Dic₁₁₃	Dicyclic group; = C₁₁₃ ⋊₂ C₄	452	2-	Dic113	452,1
C₁₁₃⋊C₄	The semidirect product of C₁₁₃ and C₄ acting faithfully	113	4+	C113:C4	452,3

Groups of order 453

		d	ρ	Label	ID
C₄₅₃	Cyclic group	453	1	C453	453,2
C₁₅₁⋊C₃	The semidirect product of C₁₅₁ and C₃ acting faithfully	151	3	C151:C3	453,1

Groups of order 454

		d	ρ	Label	ID
C₄₅₄	Cyclic group	454	1	C454	454,2
D₂₂₇	Dihedral group	227	2+	D227	454,1

Groups of order 455

		d	ρ	Label	ID
C₄₅₅	Cyclic group	455	1	C455	455,1

Groups of order 456

		d	ρ	Label	ID
C₄₅₆	Cyclic group	456	1	C456	456,6
C₁₉⋊C₂₄	The semidirect product of C₁₉ and C₂₄ acting via C₂₄/C₄=C₆	152	6	C19:C24	456,1
C₅₇⋊C₈	1^st semidirect product of C₅₇ and C₈ acting via C₈/C₄=C₂	456	2	C57:C8	456,5
C₈×C₁₉⋊C₃	Direct product of C₈ and C₁₉⋊C₃	152	3	C8xC19:C3	456,2
C₁₉×C₃⋊C₈	Direct product of C₁₉ and C₃⋊C₈	456	2	C19xC3:C8	456,3
C₃×C₁₉⋊C₈	Direct product of C₃ and C₁₉⋊C₈	456	2	C3xC19:C8	456,4

Groups of order 457

		d	ρ	Label	ID
C₄₅₇	Cyclic group	457	1	C457	457,1

Groups of order 458

		d	ρ	Label	ID
C₄₅₈	Cyclic group	458	1	C458	458,2
D₂₂₉	Dihedral group	229	2+	D229	458,1

Groups of order 459

		d	ρ	Label	ID
C₄₅₉	Cyclic group	459	1	C459	459,1

Groups of order 460

		d	ρ	Label	ID
C₄₆₀	Cyclic group	460	1	C460	460,4
Dic₁₁₅	Dicyclic group; = C₂₃ ⋊Dic₅	460	2-	Dic115	460,3
C₂₃⋊F₅	The semidirect product of C₂₃ and F₅ acting via F₅/D₅=C₂	115	4	C23:F5	460,6
F₅×C₂₃	Direct product of C₂₃ and F₅	115	4	F5xC23	460,5
Dic₅×C₂₃	Direct product of C₂₃ and Dic₅	460	2	Dic5xC23	460,1
C₅×Dic₂₃	Direct product of C₅ and Dic₂₃	460	2	C5xDic23	460,2

Groups of order 461

		d	ρ	Label	ID
C₄₆₁	Cyclic group	461	1	C461	461,1

Groups of order 462

		d	ρ	Label	ID
C₄₆₂	Cyclic group	462	1	C462	462,12
D₂₃₁	Dihedral group	231	2+	D231	462,11
C₁₁⋊F₇	The semidirect product of C₁₁ and F₇ acting via F₇/C₇⋊C₃=C₂	77	6+	C11:F7	462,3
C₁₁×F₇	Direct product of C₁₁ and F₇	77	6	C11xF7	462,2
S₃×C₇₇	Direct product of C₇₇ and S₃	231	2	S3xC77	462,8
D₇×C₃₃	Direct product of C₃₃ and D₇	231	2	D7xC33	462,6
C₃×D₇₇	Direct product of C₃ and D₇₇	231	2	C3xD77	462,7
C₇×D₃₃	Direct product of C₇ and D₃₃	231	2	C7xD33	462,9
C₂₁×D₁₁	Direct product of C₂₁ and D₁₁	231	2	C21xD11	462,5
C₁₁×D₂₁	Direct product of C₁₁ and D₂₁	231	2	C11xD21	462,10
C₇⋊C₃×D₁₁	Direct product of C₇⋊C₃ and D₁₁	77	6	C7:C3xD11	462,1
C₇⋊C₃×C₂₂	Direct product of C₂₂ and C₇⋊C₃	154	3	C7:C3xC22	462,4

Groups of order 463

		d	ρ	Label	ID
C₄₆₃	Cyclic group	463	1	C463	463,1

Groups of order 464

		d	ρ	Label	ID
C₄₆₄	Cyclic group	464	1	C464	464,2
C₂₉⋊C₁₆	The semidirect product of C₂₉ and C₁₆ acting via C₁₆/C₄=C₄	464	4	C29:C16	464,3
C₂₉⋊₂C₁₆	The semidirect product of C₂₉ and C₁₆ acting via C₁₆/C₈=C₂	464	2	C29:2C16	464,1

Groups of order 465

		d	ρ	Label	ID
C₄₆₅	Cyclic group	465	1	C465	465,4
C₃₁⋊C₁₅	The semidirect product of C₃₁ and C₁₅ acting faithfully	31	15	C31:C15	465,1
C₃×C₃₁⋊C₅	Direct product of C₃ and C₃₁⋊C₅	93	5	C3xC31:C5	465,2
C₅×C₃₁⋊C₃	Direct product of C₅ and C₃₁⋊C₃	155	3	C5xC31:C3	465,3

Groups of order 466

		d	ρ	Label	ID
C₄₆₆	Cyclic group	466	1	C466	466,2
D₂₃₃	Dihedral group	233	2+	D233	466,1

Groups of order 467

		d	ρ	Label	ID
C₄₆₇	Cyclic group	467	1	C467	467,1

Groups of order 468

		d	ρ	Label	ID
C₄₆₈	Cyclic group	468	1	C468	468,6
Dic₁₁₇	Dicyclic group; = C₉ ⋊Dic₁₃	468	2-	Dic117	468,5
C₁₃⋊C₃₆	The semidirect product of C₁₃ and C₃₆ acting via C₃₆/C₃=C₁₂	117	12	C13:C36	468,7
C₁₃⋊Dic₉	The semidirect product of C₁₃ and Dic₉ acting via Dic₉/C₉=C₄	117	4	C13:Dic9	468,10
C₁₃⋊₂C₃₆	The semidirect product of C₁₃ and C₃₆ acting via C₃₆/C₆=C₆	468	6	C13:2C36	468,1
C₁₃×Dic₉	Direct product of C₁₃ and Dic₉	468	2	C13xDic9	468,3
C₉×Dic₁₃	Direct product of C₉ and Dic₁₃	468	2	C9xDic13	468,4
C₉×C₁₃⋊C₄	Direct product of C₉ and C₁₃⋊C₄	117	4	C9xC13:C4	468,9
C₄×C₁₃⋊C₉	Direct product of C₄ and C₁₃⋊C₉	468	3	C4xC13:C9	468,2

Groups of order 469

		d	ρ	Label	ID
C₄₆₉	Cyclic group	469	1	C469	469,1

Groups of order 470

		d	ρ	Label	ID
C₄₇₀	Cyclic group	470	1	C470	470,4
D₂₃₅	Dihedral group	235	2+	D235	470,3
D₅×C₄₇	Direct product of C₄₇ and D₅	235	2	D5xC47	470,1
C₅×D₄₇	Direct product of C₅ and D₄₇	235	2	C5xD47	470,2

Groups of order 471

		d	ρ	Label	ID
C₄₇₁	Cyclic group	471	1	C471	471,2
C₁₅₇⋊C₃	The semidirect product of C₁₅₇ and C₃ acting faithfully	157	3	C157:C3	471,1

Groups of order 472

		d	ρ	Label	ID
C₄₇₂	Cyclic group	472	1	C472	472,2
C₅₉⋊C₈	The semidirect product of C₅₉ and C₈ acting via C₈/C₄=C₂	472	2	C59:C8	472,1

Groups of order 473

		d	ρ	Label	ID
C₄₇₃	Cyclic group	473	1	C473	473,1

Groups of order 474

		d	ρ	Label	ID
C₄₇₄	Cyclic group	474	1	C474	474,6
D₂₃₇	Dihedral group	237	2+	D237	474,5
C₇₉⋊C₆	The semidirect product of C₇₉ and C₆ acting faithfully	79	6+	C79:C6	474,1
S₃×C₇₉	Direct product of C₇₉ and S₃	237	2	S3xC79	474,3
C₃×D₇₉	Direct product of C₃ and D₇₉	237	2	C3xD79	474,4
C₂×C₇₉⋊C₃	Direct product of C₂ and C₇₉⋊C₃	158	3	C2xC79:C3	474,2

Groups of order 475

		d	ρ	Label	ID
C₄₇₅	Cyclic group	475	1	C475	475,1

Groups of order 476

		d	ρ	Label	ID
C₄₇₆	Cyclic group	476	1	C476	476,4
Dic₁₁₉	Dicyclic group; = C₇ ⋊Dic₁₇	476	2-	Dic119	476,3
C₁₇⋊Dic₇	The semidirect product of C₁₇ and Dic₇ acting via Dic₇/C₇=C₄	119	4	C17:Dic7	476,6
C₁₇×Dic₇	Direct product of C₁₇ and Dic₇	476	2	C17xDic7	476,1
C₇×Dic₁₇	Direct product of C₇ and Dic₁₇	476	2	C7xDic17	476,2
C₇×C₁₇⋊C₄	Direct product of C₇ and C₁₇⋊C₄	119	4	C7xC17:C4	476,5

Groups of order 477

		d	ρ	Label	ID
C₄₇₇	Cyclic group	477	1	C477	477,1

Groups of order 478

		d	ρ	Label	ID
C₄₇₈	Cyclic group	478	1	C478	478,2
D₂₃₉	Dihedral group	239	2+	D239	478,1

Groups of order 479

		d	ρ	Label	ID
C₄₇₉	Cyclic group	479	1	C479	479,1

Groups of order 480

		d	ρ	Label	ID
C₄₈₀	Cyclic group	480	1	C480	480,4
C₁₅⋊₃C₃₂	1^st semidirect product of C₁₅ and C₃₂ acting via C₃₂/C₁₆=C₂	480	2	C15:3C32	480,3
C₁₅⋊C₃₂	1^st semidirect product of C₁₅ and C₃₂ acting via C₃₂/C₈=C₄	480	4	C15:C32	480,6
C₅×C₃⋊C₃₂	Direct product of C₅ and C₃⋊C₃₂	480	2	C5xC3:C32	480,1
C₃×C₅⋊C₃₂	Direct product of C₃ and C₅⋊C₃₂	480	4	C3xC5:C32	480,5
C₃×C₅⋊₂C₃₂	Direct product of C₃ and C₅⋊₂C₃₂	480	2	C3xC5:2C32	480,2

Groups of order 481

		d	ρ	Label	ID
C₄₈₁	Cyclic group	481	1	C481	481,1

Groups of order 482

		d	ρ	Label	ID
C₄₈₂	Cyclic group	482	1	C482	482,2
D₂₄₁	Dihedral group	241	2+	D241	482,1

Groups of order 483

		d	ρ	Label	ID
C₄₈₃	Cyclic group	483	1	C483	483,2
C₇⋊C₃×C₂₃	Direct product of C₂₃ and C₇⋊C₃	161	3	C7:C3xC23	483,1

Groups of order 484

		d	ρ	Label	ID
C₄₈₄	Cyclic group	484	1	C484	484,2
Dic₁₂₁	Dicyclic group; = C₁₂₁ ⋊C₄	484	2-	Dic121	484,1

Groups of order 485

		d	ρ	Label	ID
C₄₈₅	Cyclic group	485	1	C485	485,1

Groups of order 486

		d	ρ	Label	ID
C₄₈₆	Cyclic group	486	1	C486	486,2
D₂₄₃	Dihedral group	243	2+	D243	486,1

Groups of order 487

		d	ρ	Label	ID
C₄₈₇	Cyclic group	487	1	C487	487,1

Groups of order 488

		d	ρ	Label	ID
C₄₈₈	Cyclic group	488	1	C488	488,2
C₆₁⋊C₈	The semidirect product of C₆₁ and C₈ acting via C₈/C₂=C₄	488	4-	C61:C8	488,3
C₆₁⋊₂C₈	The semidirect product of C₆₁ and C₈ acting via C₈/C₄=C₂	488	2	C61:2C8	488,1

Groups of order 489

		d	ρ	Label	ID
C₄₈₉	Cyclic group	489	1	C489	489,2
C₁₆₃⋊C₃	The semidirect product of C₁₆₃ and C₃ acting faithfully	163	3	C163:C3	489,1

Groups of order 490

		d	ρ	Label	ID
C₄₉₀	Cyclic group	490	1	C490	490,4
D₂₄₅	Dihedral group	245	2+	D245	490,3
D₅×C₄₉	Direct product of C₄₉ and D₅	245	2	D5xC49	490,1
C₅×D₄₉	Direct product of C₅ and D₄₉	245	2	C5xD49	490,2

Groups of order 491

		d	ρ	Label	ID
C₄₉₁	Cyclic group	491	1	C491	491,1

Groups of order 492

		d	ρ	Label	ID
C₄₉₂	Cyclic group	492	1	C492	492,4
Dic₁₂₃	Dicyclic group; = C₃ ⋊Dic₄₁	492	2-	Dic123	492,3
C₄₁⋊Dic₃	The semidirect product of C₄₁ and Dic₃ acting via Dic₃/C₃=C₄	123	4	C41:Dic3	492,6
Dic₃×C₄₁	Direct product of C₄₁ and Dic₃	492	2	Dic3xC41	492,1
C₃×Dic₄₁	Direct product of C₃ and Dic₄₁	492	2	C3xDic41	492,2
C₃×C₄₁⋊C₄	Direct product of C₃ and C₄₁⋊C₄	123	4	C3xC41:C4	492,5

Groups of order 493

		d	ρ	Label	ID
C₄₉₃	Cyclic group	493	1	C493	493,1

Groups of order 494

		d	ρ	Label	ID
C₄₉₄	Cyclic group	494	1	C494	494,4
D₂₄₇	Dihedral group	247	2+	D247	494,3
C₁₉×D₁₃	Direct product of C₁₉ and D₁₃	247	2	C19xD13	494,1
C₁₃×D₁₉	Direct product of C₁₃ and D₁₉	247	2	C13xD19	494,2

Groups of order 495

		d	ρ	Label	ID
C₄₉₅	Cyclic group	495	1	C495	495,2
C₉×C₁₁⋊C₅	Direct product of C₉ and C₁₁⋊C₅	99	5	C9xC11:C5	495,1

Groups of order 496

		d	ρ	Label	ID
C₄₉₆	Cyclic group	496	1	C496	496,2
C₃₁⋊C₁₆	The semidirect product of C₃₁ and C₁₆ acting via C₁₆/C₈=C₂	496	2	C31:C16	496,1

Groups of order 497

		d	ρ	Label	ID
C₄₉₇	Cyclic group	497	1	C497	497,2
C₇₁⋊C₇	The semidirect product of C₇₁ and C₇ acting faithfully	71	7	C71:C7	497,1

Groups of order 498

		d	ρ	Label	ID
C₄₉₈	Cyclic group	498	1	C498	498,4
D₂₄₉	Dihedral group	249	2+	D249	498,3
S₃×C₈₃	Direct product of C₈₃ and S₃	249	2	S3xC83	498,1
C₃×D₈₃	Direct product of C₃ and D₈₃	249	2	C3xD83	498,2

Groups of order 499

		d	ρ	Label	ID
C₄₉₉	Cyclic group	499	1	C499	499,1

Groups of order 500

		d	ρ	Label	ID
C₅₀₀	Cyclic group	500	1	C500	500,2
Dic₁₂₅	Dicyclic group; = C₁₂₅ ⋊₂ C₄	500	2-	Dic125	500,1
C₁₂₅⋊C₄	The semidirect product of C₁₂₅ and C₄ acting faithfully	125	4+	C125:C4	500,3

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