Group #49141634 — subgroups

Subgroups — C₅×D₇×C₃⋊D₃×C₂₉ #49141634

Order 36540.

240 conjugacy classes of subgroups; only the 88 normal subgroups are shown.

normal subgroups only

This group has 240 conjugacy classes of subgroups — too many to draw. Only its 88 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×C₅×D₇×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×C₇×C₃⋊D₃×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×C₂₉×C₃⋊D₂₁	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×D₃×D₇×C₂₉	—	3	4	no	maximal
5	C₃²×C₅×C₇×C₂₉	C₂²	1	1	yes	characteristic, complemented, Hall
6	D₇×C₃⋊D₃×C₂₉	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
7	C₅×C₂₉×D₂₁	—	3	4	no	—
8	C₅×D₃×C₇×C₂₉	—	3	4	no	—
9	C₃×C₅×D₇×C₂₉	D₃	1	4	yes	complemented
10	C₂×C₅×C₃⋊D₃×C₂₉	—	7	1	no	maximal, Hall
11	C₂×C₅×D₇×C₂₉	—	9	1	no	Hall
12	C₂₉×C₃⋊D₂₁	C₂×C₅	1	1	yes	characteristic, complemented
13	C₇×C₃⋊D₃×C₂₉	C₂×C₅	1	1	yes	characteristic, complemented
14	C₃²×D₇×C₂₉	C₂×C₅	1	1	yes	characteristic, complemented
15	C₃×C₅×C₇×C₂₉	C₂×D₃	1	4	yes	complemented
16	C₅×C₃⋊D₃×C₂₉	—	7	1	no	—
17	C₅×C₃⋊D₃×C₂₉	D₇	1	1	yes	characteristic, direct product factor
18	C₂×C₃²×C₅×C₂₉	—	7	1	no	—
19	D₃×D₇×C₂₉	—	3	4	no	—
20	C₅×D₇×C₂₉	—	9	1	no	—
21	C₅×D₇×C₂₉	C₃⋊D₃	1	1	yes	characteristic, direct product factor
22	C₂×C₅×C₇×C₂₉	—	9	1	no	—
23	C₃²×C₇×C₂₉	C₂²×C₅	1	1	yes	characteristic, complemented, Hall
24	C₂×C₅×D₃×C₂₉	—	21	4	no	—
25	C₃²×C₅×C₂₉	C₂×D₇	1	1	yes	characteristic, complemented, Hall
26	C₅×D₇×C₃⋊D₃	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Hall
27	C₂₉×D₂₁	—	3	4	no	—
28	D₃×C₇×C₂₉	—	3	4	no	—
29	C₃×D₇×C₂₉	C₅×D₃	1	4	yes	complemented
30	C₂×C₃⋊D₃×C₂₉	—	7	1	no	Hall
31	C₅×C₇×C₂₉	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented, Hall
32	C₂×C₃×C₅×C₂₉	—	7	4	no	—
33	C₅×D₃×C₂₉	—	3	4	no	—
34	C₅×D₃×C₂₉	—	21	4	no	—
35	C₂×D₇×C₂₉	—	9	1	no	Hall
36	C₅×C₃⋊D₂₁	C₂×C₂₉	1	1	yes	characteristic, complemented
37	C₅×C₇×C₃⋊D₃	C₂×C₂₉	1	1	yes	characteristic, complemented
38	C₃²×C₅×D₇	C₂×C₂₉	1	1	yes	characteristic, complemented
39	C₃×C₇×C₂₉	C₂×C₅×D₃	1	4	yes	complemented
40	C₂²×C₅×C₂₉	—	63	1	no	Hall
41	C₂×C₃²×C₂₉	—	7	1	no	—
42	C₃⋊D₃×C₂₉	—	7	1	no	—
43	C₃⋊D₃×C₂₉	C₅×D₇	1	1	yes	characteristic, direct product factor
44	C₃×C₅×C₂₉	D₃×D₇	1	4	yes	complemented
45	C₅×D₃×D₇	—	3	4	no	—
46	C₂×C₇×C₂₉	—	9	1	no	—
47	D₇×C₂₉	—	9	1	no	—
48	D₇×C₂₉	C₅×C₃⋊D₃	1	1	yes	characteristic, direct product factor
49	C₂×D₃×C₂₉	—	21	4	no	—
50	C₃²×C₅×C₇	C₂²×C₂₉	1	1	yes	characteristic, complemented, Hall
51	C₂×C₅×C₂₉	—	7	1	no	—
52	C₂×C₅×C₂₉	—	9	1	no	—
53	C₂×C₅×C₂₉	—	63	1	no	—
54	C₃²×C₂₉	C₂×C₅×D₇	1	1	yes	characteristic, complemented, Hall
55	D₇×C₃⋊D₃	C₅×C₂₉	1	1	yes	characteristic, direct product factor, Hall
56	C₅×D₂₁	—	3	4	no	—
57	C₅×D₃×C₇	—	3	4	no	—
58	C₃×C₅×D₇	D₃×C₂₉	1	4	yes	complemented
59	C₇×C₂₉	C₂×C₅×C₃⋊D₃	1	1	yes	characteristic, complemented, Hall
60	C₂×C₅×C₃⋊D₃	—	7	1	no	Hall
61	C₂×C₃×C₂₉	—	7	4	no	—
62	D₃×C₂₉	—	3	4	no	—
63	D₃×C₂₉	—	21	4	no	—
64	C₅×C₂₉	D₇×C₃⋊D₃	1	1	yes	characteristic, direct product factor, Hall
65	C₂×C₅×D₇	—	9	1	no	Hall
66	C₃⋊D₂₁	C₂×C₅×C₂₉	1	1	yes	characteristic, complemented
67	C₇×C₃⋊D₃	C₂×C₅×C₂₉	1	1	yes	characteristic, complemented
68	C₃²×D₇	C₂×C₅×C₂₉	1	1	yes	characteristic, complemented
69	C₂²×C₂₉	—	63	1	no	Hall
70	C₃×C₅×C₇	C₂×D₃×C₂₉	1	4	yes	complemented
71	C₂×C₃²×C₅	—	7	1	no	—
72	C₅×C₃⋊D₃	—	7	1	no	—
73	C₅×C₃⋊D₃	D₇×C₂₉	1	1	yes	characteristic, direct product factor
74	C₃×C₂₉	C₅×D₃×D₇	1	4	yes	complemented
75	D₃×D₇	—	3	4	no	—
76	C₂×C₅×C₇	—	9	1	no	—
77	C₅×D₇	—	9	1	no	—
78	C₅×D₇	C₃⋊D₃×C₂₉	1	1	yes	characteristic, direct product factor
79	C₃²×C₇	C₂²×C₅×C₂₉	1	1	yes	characteristic, complemented, Hall
80	C₂×C₅×D₃	—	21	4	no	—
81	C₂×C₂₉	—	7	1	no	—
82	C₂×C₂₉	—	9	1	no	—
83	C₂×C₂₉	—	63	1	no	—
84	C₃²×C₅	C₂×D₇×C₂₉	1	1	yes	characteristic, complemented, Hall
85	D₂₁	—	3	4	no	—
86	C₃×D₇	C₅×D₃×C₂₉	1	4	yes	complemented
87	D₃×C₇	—	3	4	no	—
88	C₂×C₃⋊D₃	—	7	1	no	Hall
89	C₅×C₇	C₂×C₃⋊D₃×C₂₉	1	1	yes	characteristic, complemented, Hall
90	C₂×C₃×C₅	—	7	4	no	—
91	C₅×D₃	—	3	4	no	—
92	C₅×D₃	—	21	4	no	—
93	C₂₉	C₅×D₇×C₃⋊D₃	1	1	yes	characteristic, direct product factor, Sylow
94	C₂×D₇	—	9	1	no	Hall
95	C₃×C₇	C₂×C₅×D₃×C₂₉	1	4	yes	complemented
96	C₂²×C₅	—	63	1	no	Hall
97	C₂×C₃²	—	7	1	no	—
98	C₃⋊D₃	—	7	1	no	—
99	C₃⋊D₃	C₅×D₇×C₂₉	1	1	yes	characteristic, direct product factor
100	C₃×C₅	D₃×D₇×C₂₉	1	4	yes	complemented
101	C₂×C₇	—	9	1	no	—
102	D₇	—	9	1	no	—
103	D₇	C₅×C₃⋊D₃×C₂₉	1	1	yes	characteristic, direct product factor
104	C₂×D₃	—	21	4	no	—
105	C₂×C₅	—	7	1	no	—
106	C₂×C₅	—	9	1	no	—
107	C₂×C₅	—	63	1	no	—
108	C₃²	C₂×C₅×D₇×C₂₉	1	1	yes	characteristic, complemented, Sylow
109	C₇	C₂×C₅×C₃⋊D₃×C₂₉	1	1	yes	characteristic, complemented, Sylow
110	C₂×C₃	—	7	4	no	—
111	D₃	—	3	4	no	—
112	D₃	—	21	4	no	—
113	C₅	D₇×C₃⋊D₃×C₂₉	1	1	yes	characteristic, direct product factor, Sylow
114	C₂²	—	63	1	no	Sylow
115	C₃	C₅×D₃×D₇×C₂₉	1	4	yes	complemented
116	C₂	—	7	1	no	—
117	C₂	—	9	1	no	—
118	C₂	—	63	1	no	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₃²×C₅×D₇×C₂₉

C₂

yes

maximal, characteristic, complemented

C₅×C₇×C₃⋊D₃×C₂₉

C₂

yes

maximal, characteristic, complemented

C₅×C₂₉×C₃⋊D₂₁

C₂

yes

maximal, characteristic, complemented

C₅×D₃×D₇×C₂₉

—

maximal

C₃²×C₅×C₇×C₂₉

C₂²

yes

characteristic, complemented, Hall

D₇×C₃⋊D₃×C₂₉

C₅

yes

maximal, characteristic, direct product factor, Hall

C₅×C₂₉×D₂₁

—

C₅×D₃×C₇×C₂₉

—

C₃×C₅×D₇×C₂₉

D₃

yes

complemented

C₂×C₅×C₃⋊D₃×C₂₉

—

maximal, Hall

C₂×C₅×D₇×C₂₉

—

Hall

C₂₉×C₃⋊D₂₁

C₂×C₅

yes

characteristic, complemented

C₇×C₃⋊D₃×C₂₉

C₂×C₅

yes

characteristic, complemented

C₃²×D₇×C₂₉

C₂×C₅

yes

characteristic, complemented

C₃×C₅×C₇×C₂₉

C₂×D₃

yes

complemented

C₅×C₃⋊D₃×C₂₉

—

C₅×C₃⋊D₃×C₂₉

D₇

yes

characteristic, direct product factor

C₂×C₃²×C₅×C₂₉

—

D₃×D₇×C₂₉

—

C₅×D₇×C₂₉

—

C₅×D₇×C₂₉

C₃⋊D₃

yes

characteristic, direct product factor

C₂×C₅×C₇×C₂₉

—

C₃²×C₇×C₂₉

C₂²×C₅

yes

characteristic, complemented, Hall

C₂×C₅×D₃×C₂₉

—

C₃²×C₅×C₂₉

C₂×D₇

yes

characteristic, complemented, Hall

C₅×D₇×C₃⋊D₃

C₂₉

yes

maximal, characteristic, direct product factor, Hall

C₂₉×D₂₁

—

D₃×C₇×C₂₉

—

C₃×D₇×C₂₉

C₅×D₃

yes

complemented

C₂×C₃⋊D₃×C₂₉

—

Hall

C₅×C₇×C₂₉

C₂×C₃⋊D₃

yes

characteristic, complemented, Hall

C₂×C₃×C₅×C₂₉

—

C₅×D₃×C₂₉

—

C₅×D₃×C₂₉

—

C₂×D₇×C₂₉

—

Hall

C₅×C₃⋊D₂₁

C₂×C₂₉

yes

characteristic, complemented

C₅×C₇×C₃⋊D₃

C₂×C₂₉

yes

characteristic, complemented

C₃²×C₅×D₇

C₂×C₂₉

yes

characteristic, complemented

C₃×C₇×C₂₉

C₂×C₅×D₃

yes

complemented

C₂²×C₅×C₂₉

—

Hall

C₂×C₃²×C₂₉

—

C₃⋊D₃×C₂₉

—

C₃⋊D₃×C₂₉

C₅×D₇

yes

characteristic, direct product factor

C₃×C₅×C₂₉

D₃×D₇

yes

complemented

C₅×D₃×D₇

—

C₂×C₇×C₂₉

—

D₇×C₂₉

—

D₇×C₂₉

C₅×C₃⋊D₃

yes

characteristic, direct product factor

C₂×D₃×C₂₉

—

C₃²×C₅×C₇

C₂²×C₂₉

yes

characteristic, complemented, Hall

C₂×C₅×C₂₉

—

C₂×C₅×C₂₉

—

C₂×C₅×C₂₉

—

C₃²×C₂₉

C₂×C₅×D₇

yes

characteristic, complemented, Hall

D₇×C₃⋊D₃

C₅×C₂₉

yes

characteristic, direct product factor, Hall

C₅×D₂₁

—

C₅×D₃×C₇

—

C₃×C₅×D₇

D₃×C₂₉

yes

complemented

C₇×C₂₉

C₂×C₅×C₃⋊D₃

yes

characteristic, complemented, Hall

C₂×C₅×C₃⋊D₃

—

Hall

C₂×C₃×C₂₉

—

D₃×C₂₉

—

D₃×C₂₉

—

C₅×C₂₉

D₇×C₃⋊D₃

yes

characteristic, direct product factor, Hall

C₂×C₅×D₇

—

Hall

C₃⋊D₂₁

C₂×C₅×C₂₉

yes

characteristic, complemented

C₇×C₃⋊D₃

C₂×C₅×C₂₉

yes

characteristic, complemented

C₃²×D₇

C₂×C₅×C₂₉

yes

characteristic, complemented

C₂²×C₂₉

—

Hall

C₃×C₅×C₇

C₂×D₃×C₂₉

yes

complemented

C₂×C₃²×C₅

—

C₅×C₃⋊D₃

—

C₅×C₃⋊D₃

D₇×C₂₉

yes

characteristic, direct product factor

C₃×C₂₉

C₅×D₃×D₇

yes

complemented

D₃×D₇

—

C₂×C₅×C₇

—

C₅×D₇

—

C₅×D₇

C₃⋊D₃×C₂₉

yes

characteristic, direct product factor

C₃²×C₇

C₂²×C₅×C₂₉

yes

characteristic, complemented, Hall

C₂×C₅×D₃

—

C₂×C₂₉

—

C₂×C₂₉

—

C₂×C₂₉

—

C₃²×C₅

C₂×D₇×C₂₉

yes

characteristic, complemented, Hall

D₂₁

—

C₃×D₇

C₅×D₃×C₂₉

yes

complemented

D₃×C₇

—

C₂×C₃⋊D₃

—

Hall

C₅×C₇

C₂×C₃⋊D₃×C₂₉

yes

characteristic, complemented, Hall

C₂×C₃×C₅

—

C₅×D₃

—

C₅×D₃

—

C₂₉

C₅×D₇×C₃⋊D₃

yes

characteristic, direct product factor, Sylow

C₂×D₇

—

Hall

C₃×C₇

C₂×C₅×D₃×C₂₉

yes

complemented

C₂²×C₅

—

Hall

C₂×C₃²

—

C₃⋊D₃

—

C₃⋊D₃

C₅×D₇×C₂₉

yes

characteristic, direct product factor

100

C₃×C₅

D₃×D₇×C₂₉

yes

complemented

101

C₂×C₇

—

102

D₇

—

103

D₇

C₅×C₃⋊D₃×C₂₉

yes

characteristic, direct product factor

104

C₂×D₃

—

105

C₂×C₅

—

106

C₂×C₅

—

107

C₂×C₅

—

108

C₃²

C₂×C₅×D₇×C₂₉

yes

characteristic, complemented, Sylow

109

C₇

C₂×C₅×C₃⋊D₃×C₂₉

yes

characteristic, complemented, Sylow

110

C₂×C₃

—

111

D₃

—

112

D₃

—

113

C₅

D₇×C₃⋊D₃×C₂₉

yes

characteristic, direct product factor, Sylow

114

C₂²

—

Sylow

115

C₃

C₅×D₃×D₇×C₂₉

yes

complemented

116

C₂

—

117

C₂

—

118

C₂

—

	subgroup	G/H
center, hypercenter	C₅×C₂₉	D₇×C₃⋊D₃
commutator, cosocle, hypocenter	C₃²×C₇	C₂²×C₅×C₂₉
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₇×C₂₉	C₂²
LCS	G ▷ C₃²×C₇
UCS	C₁ ◁ C₅×C₂₉

subgroup

G/H

center, hypercenter

C₅×C₂₉

D₇×C₃⋊D₃

commutator, cosocle, hypocenter

C₃²×C₇

C₂²×C₅×C₂₉

Frattini

C₁

Fitting, socle

C₃²×C₅×C₇×C₂₉

C₂²

LCS

G ▷ C₃²×C₇

UCS

C₁ ◁ C₅×C₂₉

N	H ≅ G/N	type
1. C₃²×C₅×D₇×C₂₉	C₂	semidirect
2. C₅×C₇×C₃⋊D₃×C₂₉	C₂	semidirect
3. C₅×C₂₉×C₃⋊D₂₁	C₂	semidirect
5. C₃²×C₅×C₇×C₂₉	C₂²	semidirect
6. D₇×C₃⋊D₃×C₂₉	C₅	direct (N × H)
9. C₃×C₅×D₇×C₂₉	D₃	semidirect
12. C₂₉×C₃⋊D₂₁	C₂×C₅	semidirect
13. C₇×C₃⋊D₃×C₂₉	C₂×C₅	semidirect
14. C₃²×D₇×C₂₉	C₂×C₅	semidirect
15. C₃×C₅×C₇×C₂₉	C₂×D₃	semidirect
17. C₅×C₃⋊D₃×C₂₉	D₇	direct (N × H)
21. C₅×D₇×C₂₉	C₃⋊D₃	direct (N × H)
23. C₃²×C₇×C₂₉	C₂²×C₅	semidirect
25. C₃²×C₅×C₂₉	C₂×D₇	semidirect
26. C₅×D₇×C₃⋊D₃	C₂₉	direct (N × H)
29. C₃×D₇×C₂₉	C₅×D₃	semidirect
31. C₅×C₇×C₂₉	C₂×C₃⋊D₃	semidirect
36. C₅×C₃⋊D₂₁	C₂×C₂₉	semidirect
37. C₅×C₇×C₃⋊D₃	C₂×C₂₉	semidirect
38. C₃²×C₅×D₇	C₂×C₂₉	semidirect
39. C₃×C₇×C₂₉	C₂×C₅×D₃	semidirect
43. C₃⋊D₃×C₂₉	C₅×D₇	direct (N × H)
44. C₃×C₅×C₂₉	D₃×D₇	semidirect
48. D₇×C₂₉	C₅×C₃⋊D₃	direct (N × H)
50. C₃²×C₅×C₇	C₂²×C₂₉	semidirect
54. C₃²×C₂₉	C₂×C₅×D₇	semidirect
55. D₇×C₃⋊D₃	C₅×C₂₉	direct (N × H)
58. C₃×C₅×D₇	D₃×C₂₉	semidirect
59. C₇×C₂₉	C₂×C₅×C₃⋊D₃	semidirect
64. C₅×C₂₉	D₇×C₃⋊D₃	direct (N × H)
66. C₃⋊D₂₁	C₂×C₅×C₂₉	semidirect
67. C₇×C₃⋊D₃	C₂×C₅×C₂₉	semidirect
68. C₃²×D₇	C₂×C₅×C₂₉	semidirect
70. C₃×C₅×C₇	C₂×D₃×C₂₉	semidirect
73. C₅×C₃⋊D₃	D₇×C₂₉	direct (N × H)
74. C₃×C₂₉	C₅×D₃×D₇	semidirect
78. C₅×D₇	C₃⋊D₃×C₂₉	direct (N × H)
79. C₃²×C₇	C₂²×C₅×C₂₉	semidirect
84. C₃²×C₅	C₂×D₇×C₂₉	semidirect
86. C₃×D₇	C₅×D₃×C₂₉	semidirect
89. C₅×C₇	C₂×C₃⋊D₃×C₂₉	semidirect
93. C₂₉	C₅×D₇×C₃⋊D₃	direct (N × H)
95. C₃×C₇	C₂×C₅×D₃×C₂₉	semidirect
99. C₃⋊D₃	C₅×D₇×C₂₉	direct (N × H)
100. C₃×C₅	D₃×D₇×C₂₉	semidirect
103. D₇	C₅×C₃⋊D₃×C₂₉	direct (N × H)
108. C₃²	C₂×C₅×D₇×C₂₉	semidirect
109. C₇	C₂×C₅×C₃⋊D₃×C₂₉	semidirect
113. C₅	D₇×C₃⋊D₃×C₂₉	direct (N × H)
115. C₃	C₅×D₃×D₇×C₂₉	semidirect

H ≅ G/N

type

1. C₃²×C₅×D₇×C₂₉

C₂

semidirect

2. C₅×C₇×C₃⋊D₃×C₂₉

C₂

semidirect

3. C₅×C₂₉×C₃⋊D₂₁

C₂

semidirect

5. C₃²×C₅×C₇×C₂₉

C₂²

semidirect

6. D₇×C₃⋊D₃×C₂₉

C₅

direct (N × H)

9. C₃×C₅×D₇×C₂₉

D₃

semidirect

12. C₂₉×C₃⋊D₂₁

C₂×C₅

semidirect

13. C₇×C₃⋊D₃×C₂₉

C₂×C₅

semidirect

14. C₃²×D₇×C₂₉

C₂×C₅

semidirect

15. C₃×C₅×C₇×C₂₉

C₂×D₃

semidirect

17. C₅×C₃⋊D₃×C₂₉

D₇

direct (N × H)

21. C₅×D₇×C₂₉

C₃⋊D₃

direct (N × H)

23. C₃²×C₇×C₂₉

C₂²×C₅

semidirect

25. C₃²×C₅×C₂₉

C₂×D₇

semidirect

26. C₅×D₇×C₃⋊D₃

C₂₉

direct (N × H)

29. C₃×D₇×C₂₉

C₅×D₃

semidirect

31. C₅×C₇×C₂₉

C₂×C₃⋊D₃

semidirect

36. C₅×C₃⋊D₂₁

C₂×C₂₉

semidirect

37. C₅×C₇×C₃⋊D₃

C₂×C₂₉

semidirect

38. C₃²×C₅×D₇

C₂×C₂₉

semidirect

39. C₃×C₇×C₂₉

C₂×C₅×D₃

semidirect

43. C₃⋊D₃×C₂₉

C₅×D₇

direct (N × H)

44. C₃×C₅×C₂₉

D₃×D₇

semidirect

48. D₇×C₂₉

C₅×C₃⋊D₃

direct (N × H)

50. C₃²×C₅×C₇

C₂²×C₂₉

semidirect

54. C₃²×C₂₉

C₂×C₅×D₇

semidirect

55. D₇×C₃⋊D₃

C₅×C₂₉

direct (N × H)

58. C₃×C₅×D₇

D₃×C₂₉

semidirect

59. C₇×C₂₉

C₂×C₅×C₃⋊D₃

semidirect

64. C₅×C₂₉

D₇×C₃⋊D₃

direct (N × H)

66. C₃⋊D₂₁

C₂×C₅×C₂₉

semidirect

67. C₇×C₃⋊D₃

C₂×C₅×C₂₉

semidirect

68. C₃²×D₇

C₂×C₅×C₂₉

semidirect

70. C₃×C₅×C₇

C₂×D₃×C₂₉

semidirect

73. C₅×C₃⋊D₃

D₇×C₂₉

direct (N × H)

74. C₃×C₂₉

C₅×D₃×D₇

semidirect

78. C₅×D₇

C₃⋊D₃×C₂₉

direct (N × H)

79. C₃²×C₇

C₂²×C₅×C₂₉

semidirect

84. C₃²×C₅

C₂×D₇×C₂₉

semidirect

86. C₃×D₇

C₅×D₃×C₂₉

semidirect

89. C₅×C₇

C₂×C₃⋊D₃×C₂₉

semidirect

93. C₂₉

C₅×D₇×C₃⋊D₃

direct (N × H)

95. C₃×C₇

C₂×C₅×D₃×C₂₉

semidirect

99. C₃⋊D₃

C₅×D₇×C₂₉

direct (N × H)

100. C₃×C₅

D₃×D₇×C₂₉

semidirect

103. D₇

C₅×C₃⋊D₃×C₂₉

direct (N × H)

108. C₃²

C₂×C₅×D₇×C₂₉

semidirect

109. C₇

C₂×C₅×C₃⋊D₃×C₂₉

semidirect

113. C₅

D₇×C₃⋊D₃×C₂₉

direct (N × H)

115. C₃

C₅×D₃×D₇×C₂₉

semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₃²×C₅×D₇×C₂₉	2
C₅×C₇×C₃⋊D₃×C₂₉	2
C₅×C₂₉×C₃⋊D₂₁	2
C₅×D₃×D₇×C₂₉	3
D₇×C₃⋊D₃×C₂₉	5
C₂×C₅×C₃⋊D₃×C₂₉	7
C₅×D₇×C₃⋊D₃	29

subgroup

index

C₃²×C₅×D₇×C₂₉

C₅×C₇×C₃⋊D₃×C₂₉

C₅×C₂₉×C₃⋊D₂₁

C₅×D₃×D₇×C₂₉

D₇×C₃⋊D₃×C₂₉

C₂×C₅×C₃⋊D₃×C₂₉

C₅×D₇×C₃⋊D₃

Subgroups — C₅×D₇×C₃⋊D₃×C₂₉ #49141634

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C5×D7×C3⋊D3×C29 #49141634

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×D₇×C₃⋊D₃×C₂₉ #49141634