Group #44478952 — subgroups

Subgroups — C₉×C₁₁×D₇×D₁₁ #44478952

Order 30492.

180 conjugacy classes of subgroups; only the 60 normal subgroups are shown.

normal subgroups only

This group has 180 conjugacy classes of subgroups — too many to draw. Only its 60 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	C₉×C₁₁×D₇₇	C₂	1	1	yes	maximal, characteristic, complemented
2	C₉×C₁₁²×D₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×C₉×C₁₁×D₁₁	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×C₁₁×D₇×D₁₁	C₃	1	1	yes	maximal, characteristic
5	C₇×C₉×C₁₁²	C₂²	1	1	yes	characteristic, complemented, Hall
6	C₃×C₁₁×D₇₇	C₂×C₃	1	1	yes	characteristic
7	C₃×C₁₁²×D₇	C₂×C₃	1	1	yes	characteristic
8	C₃×C₇×C₁₁×D₁₁	C₂×C₃	1	1	yes	characteristic
9	C₂×C₉×C₁₁×D₁₁	—	7	1	no	maximal, Hall
10	C₁₁×D₇×D₁₁	C₉	1	1	yes	characteristic, direct product factor, Hall
11	C₂×C₉×C₁₁×D₇	—	11	1	no	maximal
12	C₉×D₇×D₁₁	C₁₁	1	1	yes	maximal, characteristic, direct product factor
13	C₃×C₇×C₁₁²	C₂²×C₃	1	1	yes	characteristic
14	C₉×C₁₁×D₁₁	—	7	1	no	—
15	C₉×C₁₁×D₁₁	D₇	1	1	yes	characteristic, direct product factor
16	C₂×C₉×C₁₁²	—	7	1	no	—
17	C₁₁×D₇₇	C₂×C₉	1	1	yes	characteristic, complemented
18	C₁₁²×D₇	C₂×C₉	1	1	yes	characteristic, complemented
19	C₇×C₁₁×D₁₁	C₂×C₉	1	1	yes	characteristic, complemented
20	C₂×C₃×C₁₁×D₁₁	—	7	1	no	—
21	C₂×C₇×C₉×C₁₁	—	11	1	no	—
22	C₉×D₇₇	C₂×C₁₁	1	1	yes	characteristic, complemented
23	C₉×C₁₁×D₇	—	2	5	no	—
24	C₉×C₁₁×D₇	—	11	1	no	—
25	C₉×C₁₁×D₇	D₁₁	1	1	yes	characteristic, direct product factor
26	C₉×C₁₁×D₇	C₂×C₁₁	1	1	yes	characteristic, complemented
27	C₇×C₉×D₁₁	C₂×C₁₁	1	1	yes	characteristic, complemented
28	C₉×C₁₁²	C₂×D₇	1	1	yes	characteristic, complemented, Hall
29	C₂×C₃×C₁₁×D₇	—	11	1	no	—
30	C₃×D₇×D₁₁	C₃×C₁₁	1	1	yes	characteristic
31	C₇×C₁₁²	C₂²×C₉	1	1	yes	characteristic, complemented, Hall
32	C₂×C₃×C₁₁²	—	7	1	no	—
33	C₃×C₁₁×D₁₁	—	7	1	no	—
34	C₃×C₁₁×D₁₁	C₃×D₇	1	1	yes	characteristic
35	C₇×C₉×C₁₁	—	2	5	no	—
36	C₇×C₉×C₁₁	C₂×D₁₁	1	1	yes	characteristic, complemented
37	C₇×C₉×C₁₁	C₂²×C₁₁	1	1	yes	characteristic, complemented
38	C₂×C₁₁×D₁₁	—	7	1	no	Hall
39	C₂×C₃×C₇×C₁₁	—	11	1	no	—
40	C₃×D₇₇	C₂×C₃×C₁₁	1	1	yes	characteristic
41	C₃×C₁₁×D₇	—	2	5	no	—
42	C₃×C₁₁×D₇	—	11	1	no	—
43	C₃×C₁₁×D₇	C₃×D₁₁	1	1	yes	characteristic
44	C₃×C₁₁×D₇	C₂×C₃×C₁₁	1	1	yes	characteristic
45	C₃×C₇×D₁₁	C₂×C₃×C₁₁	1	1	yes	characteristic
46	C₂²×C₉×C₁₁	—	77	1	no	—
47	C₂×C₉×D₁₁	—	7	1	no	—
48	C₃×C₁₁²	C₂×C₃×D₇	1	1	yes	characteristic
49	C₂×C₁₁×D₇	—	11	1	no	—
50	D₇×D₁₁	C₉×C₁₁	1	1	yes	characteristic, direct product factor
51	C₂×C₉×D₇	—	11	1	no	Hall
52	C₂×C₁₁²	—	7	1	no	—
53	C₁₁×D₁₁	—	7	1	no	—
54	C₁₁×D₁₁	C₉×D₇	1	1	yes	characteristic, direct product factor
55	C₃×C₇×C₁₁	—	2	5	no	—
56	C₃×C₇×C₁₁	C₂×C₃×D₁₁	1	1	yes	characteristic
57	C₃×C₇×C₁₁	C₂²×C₃×C₁₁	1	1	yes	characteristic
58	C₂×C₉×C₁₁	—	7	1	no	—
59	C₂×C₉×C₁₁	—	7	1	no	—
60	C₂×C₉×C₁₁	—	11	1	no	—
61	C₂×C₉×C₁₁	—	14	5	no	—
62	C₂×C₉×C₁₁	—	77	1	no	—
63	C₉×D₁₁	—	7	1	no	—
64	C₉×D₁₁	C₁₁×D₇	1	1	yes	characteristic, direct product factor
65	C₂×C₇×C₁₁	—	11	1	no	—
66	D₇₇	C₂×C₉×C₁₁	1	1	yes	characteristic, complemented
67	C₇×D₁₁	C₂×C₉×C₁₁	1	1	yes	characteristic, complemented
68	C₁₁×D₇	—	2	5	no	—
69	C₁₁×D₇	—	11	1	no	—
70	C₁₁×D₇	C₉×D₁₁	1	1	yes	characteristic, direct product factor
71	C₁₁×D₇	C₂×C₉×C₁₁	1	1	yes	characteristic, complemented
72	C₂²×C₃×C₁₁	—	77	1	no	—
73	C₂×C₃×D₁₁	—	7	1	no	—
74	C₂×C₇×C₉	—	11	1	no	—
75	C₉×D₇	—	11	1	no	—
76	C₉×D₇	C₁₁×D₁₁	1	1	yes	characteristic, direct product factor
77	C₁₁²	C₂×C₉×D₇	1	1	yes	characteristic, complemented, Sylow
78	C₉×C₁₁	—	2	5	no	—
79	C₉×C₁₁	D₇×D₁₁	1	1	yes	characteristic, direct product factor
80	C₉×C₁₁	C₂×C₁₁×D₇	1	1	yes	characteristic, complemented
81	C₂×C₃×D₇	—	11	1	no	—
82	C₇×C₁₁	—	2	5	no	—
83	C₇×C₁₁	C₂×C₉×D₁₁	1	1	yes	characteristic, complemented
84	C₇×C₁₁	C₂²×C₉×C₁₁	1	1	yes	characteristic, complemented
85	C₂×C₃×C₁₁	—	7	1	no	—
86	C₂×C₃×C₁₁	—	7	1	no	—
87	C₂×C₃×C₁₁	—	11	1	no	—
88	C₂×C₃×C₁₁	—	14	5	no	—
89	C₂×C₃×C₁₁	—	77	1	no	—
90	C₃×D₁₁	—	7	1	no	—
91	C₃×D₁₁	C₃×C₁₁×D₇	1	1	yes	characteristic
92	C₇×C₉	C₂×C₁₁×D₁₁	1	1	yes	characteristic, complemented, Hall
93	C₂²×C₁₁	—	77	1	no	—
94	C₂×D₁₁	—	7	1	no	—
95	C₂×C₃×C₇	—	11	1	no	—
96	C₃×D₇	—	11	1	no	—
97	C₃×D₇	C₃×C₁₁×D₁₁	1	1	yes	characteristic
98	C₂²×C₉	—	77	1	no	Hall
99	C₃×C₁₁	—	2	5	no	—
100	C₃×C₁₁	C₃×D₇×D₁₁	1	1	yes	characteristic
101	C₃×C₁₁	C₂×C₃×C₁₁×D₇	1	1	yes	characteristic
102	C₂×D₇	—	11	1	no	Hall
103	C₂×C₁₁	—	7	1	no	—
104	C₂×C₁₁	—	7	1	no	—
105	C₂×C₁₁	—	11	1	no	—
106	C₂×C₁₁	—	14	5	no	—
107	C₂×C₁₁	—	77	1	no	—
108	D₁₁	—	7	1	no	—
109	D₁₁	C₉×C₁₁×D₇	1	1	yes	characteristic, direct product factor
110	C₃×C₇	C₂×C₃×C₁₁×D₁₁	1	1	yes	characteristic
111	C₂×C₉	—	7	1	no	—
112	C₂×C₉	—	11	1	no	—
113	C₂×C₉	—	77	1	no	—
114	C₂×C₇	—	11	1	no	—
115	D₇	—	11	1	no	—
116	D₇	C₉×C₁₁×D₁₁	1	1	yes	characteristic, direct product factor
117	C₂²×C₃	—	77	1	no	—
118	C₁₁	—	2	5	no	—
119	C₁₁	C₉×D₇×D₁₁	1	1	yes	characteristic, direct product factor
120	C₁₁	C₂×C₉×C₁₁×D₇	1	1	yes	characteristic, complemented
121	C₉	C₁₁×D₇×D₁₁	1	1	yes	characteristic, direct product factor, Sylow
122	C₇	C₂×C₉×C₁₁×D₁₁	1	1	yes	characteristic, complemented, Sylow
123	C₂×C₃	—	7	1	no	—
124	C₂×C₃	—	11	1	no	—
125	C₂×C₃	—	77	1	no	—
126	C₂²	—	77	1	no	Sylow
127	C₃	C₃×C₁₁×D₇×D₁₁	1	1	yes	characteristic
128	C₂	—	7	1	no	—
129	C₂	—	11	1	no	—
130	C₂	—	77	1	no	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₉×C₁₁×D₇₇

C₂

yes

maximal, characteristic, complemented

C₉×C₁₁²×D₇

C₂

yes

maximal, characteristic, complemented

C₇×C₉×C₁₁×D₁₁

C₂

yes

maximal, characteristic, complemented

C₃×C₁₁×D₇×D₁₁

C₃

yes

maximal, characteristic

C₇×C₉×C₁₁²

C₂²

yes

characteristic, complemented, Hall

C₃×C₁₁×D₇₇

C₂×C₃

yes

characteristic

C₃×C₁₁²×D₇

C₂×C₃

yes

characteristic

C₃×C₇×C₁₁×D₁₁

C₂×C₃

yes

characteristic

C₂×C₉×C₁₁×D₁₁

—

maximal, Hall

C₁₁×D₇×D₁₁

C₉

yes

characteristic, direct product factor, Hall

C₂×C₉×C₁₁×D₇

—

maximal

C₉×D₇×D₁₁

C₁₁

yes

maximal, characteristic, direct product factor

C₃×C₇×C₁₁²

C₂²×C₃

yes

characteristic

C₉×C₁₁×D₁₁

—

C₉×C₁₁×D₁₁

D₇

yes

characteristic, direct product factor

C₂×C₉×C₁₁²

—

C₁₁×D₇₇

C₂×C₉

yes

characteristic, complemented

C₁₁²×D₇

C₂×C₉

yes

characteristic, complemented

C₇×C₁₁×D₁₁

C₂×C₉

yes

characteristic, complemented

C₂×C₃×C₁₁×D₁₁

—

C₂×C₇×C₉×C₁₁

—

C₉×D₇₇

C₂×C₁₁

yes

characteristic, complemented

C₉×C₁₁×D₇

—

C₉×C₁₁×D₇

—

C₉×C₁₁×D₇

D₁₁

yes

characteristic, direct product factor

C₉×C₁₁×D₇

C₂×C₁₁

yes

characteristic, complemented

C₇×C₉×D₁₁

C₂×C₁₁

yes

characteristic, complemented

C₉×C₁₁²

C₂×D₇

yes

characteristic, complemented, Hall

C₂×C₃×C₁₁×D₇

—

C₃×D₇×D₁₁

C₃×C₁₁

yes

characteristic

C₇×C₁₁²

C₂²×C₉

yes

characteristic, complemented, Hall

C₂×C₃×C₁₁²

—

C₃×C₁₁×D₁₁

—

C₃×C₁₁×D₁₁

C₃×D₇

yes

characteristic

C₇×C₉×C₁₁

—

C₇×C₉×C₁₁

C₂×D₁₁

yes

characteristic, complemented

C₇×C₉×C₁₁

C₂²×C₁₁

yes

characteristic, complemented

C₂×C₁₁×D₁₁

—

Hall

C₂×C₃×C₇×C₁₁

—

C₃×D₇₇

C₂×C₃×C₁₁

yes

characteristic

C₃×C₁₁×D₇

—

C₃×C₁₁×D₇

—

C₃×C₁₁×D₇

C₃×D₁₁

yes

characteristic

C₃×C₁₁×D₇

C₂×C₃×C₁₁

yes

characteristic

C₃×C₇×D₁₁

C₂×C₃×C₁₁

yes

characteristic

C₂²×C₉×C₁₁

—

C₂×C₉×D₁₁

—

C₃×C₁₁²

C₂×C₃×D₇

yes

characteristic

C₂×C₁₁×D₇

—

D₇×D₁₁

C₉×C₁₁

yes

characteristic, direct product factor

C₂×C₉×D₇

—

Hall

C₂×C₁₁²

—

C₁₁×D₁₁

—

C₁₁×D₁₁

C₉×D₇

yes

characteristic, direct product factor

C₃×C₇×C₁₁

—

C₃×C₇×C₁₁

C₂×C₃×D₁₁

yes

characteristic

C₃×C₇×C₁₁

C₂²×C₃×C₁₁

yes

characteristic

C₂×C₉×C₁₁

—

C₂×C₉×C₁₁

—

C₂×C₉×C₁₁

—

C₂×C₉×C₁₁

—

C₂×C₉×C₁₁

—

C₉×D₁₁

—

C₉×D₁₁

C₁₁×D₇

yes

characteristic, direct product factor

C₂×C₇×C₁₁

—

D₇₇

C₂×C₉×C₁₁

yes

characteristic, complemented

C₇×D₁₁

C₂×C₉×C₁₁

yes

characteristic, complemented

C₁₁×D₇

—

C₁₁×D₇

—

C₁₁×D₇

C₉×D₁₁

yes

characteristic, direct product factor

C₁₁×D₇

C₂×C₉×C₁₁

yes

characteristic, complemented

C₂²×C₃×C₁₁

—

C₂×C₃×D₁₁

—

C₂×C₇×C₉

—

C₉×D₇

—

C₉×D₇

C₁₁×D₁₁

yes

characteristic, direct product factor

C₁₁²

C₂×C₉×D₇

yes

characteristic, complemented, Sylow

C₉×C₁₁

—

C₉×C₁₁

D₇×D₁₁

yes

characteristic, direct product factor

C₉×C₁₁

C₂×C₁₁×D₇

yes

characteristic, complemented

C₂×C₃×D₇

—

C₇×C₁₁

—

C₇×C₁₁

C₂×C₉×D₁₁

yes

characteristic, complemented

C₇×C₁₁

C₂²×C₉×C₁₁

yes

characteristic, complemented

C₂×C₃×C₁₁

—

C₂×C₃×C₁₁

—

C₂×C₃×C₁₁

—

C₂×C₃×C₁₁

—

C₂×C₃×C₁₁

—

C₃×D₁₁

—

C₃×D₁₁

C₃×C₁₁×D₇

yes

characteristic

C₇×C₉

C₂×C₁₁×D₁₁

yes

characteristic, complemented, Hall

C₂²×C₁₁

—

C₂×D₁₁

—

C₂×C₃×C₇

—

C₃×D₇

—

C₃×D₇

C₃×C₁₁×D₁₁

yes

characteristic

C₂²×C₉

—

Hall

C₃×C₁₁

—

100

C₃×C₁₁

C₃×D₇×D₁₁

yes

characteristic

101

C₃×C₁₁

C₂×C₃×C₁₁×D₇

yes

characteristic

102

C₂×D₇

—

Hall

103

C₂×C₁₁

—

104

C₂×C₁₁

—

105

C₂×C₁₁

—

106

C₂×C₁₁

—

107

C₂×C₁₁

—

108

D₁₁

—

109

D₁₁

C₉×C₁₁×D₇

yes

characteristic, direct product factor

110

C₃×C₇

C₂×C₃×C₁₁×D₁₁

yes

characteristic

111

C₂×C₉

—

112

C₂×C₉

—

113

C₂×C₉

—

114

C₂×C₇

—

115

D₇

—

116

D₇

C₉×C₁₁×D₁₁

yes

characteristic, direct product factor

117

C₂²×C₃

—

118

C₁₁

—

119

C₁₁

C₉×D₇×D₁₁

yes

characteristic, direct product factor

120

C₁₁

C₂×C₉×C₁₁×D₇

yes

characteristic, complemented

121

C₉

C₁₁×D₇×D₁₁

yes

characteristic, direct product factor, Sylow

122

C₇

C₂×C₉×C₁₁×D₁₁

yes

characteristic, complemented, Sylow

123

C₂×C₃

—

124

C₂×C₃

—

125

C₂×C₃

—

126

C₂²

—

Sylow

127

C₃

C₃×C₁₁×D₇×D₁₁

yes

characteristic

128

C₂

—

129

C₂

—

130

C₂

—

	subgroup	G/H
center, hypercenter	C₉×C₁₁	D₇×D₁₁
commutator, hypocenter	C₇×C₁₁	C₂²×C₉×C₁₁
Frattini	C₃	C₃×C₁₁×D₇×D₁₁
Fitting	C₇×C₉×C₁₁²	C₂²
socle	C₃×C₇×C₁₁²	C₂²×C₃
prime radical	C₃×C₁₁×D₇×D₁₁	C₃
cosocle	C₃×C₇×C₁₁	C₂²×C₃×C₁₁
LCS	G ▷ C₇×C₁₁
UCS	C₁ ◁ C₉×C₁₁

subgroup

G/H

center, hypercenter

C₉×C₁₁

D₇×D₁₁

commutator, hypocenter

C₇×C₁₁

C₂²×C₉×C₁₁

Frattini

C₃

C₃×C₁₁×D₇×D₁₁

Fitting

C₇×C₉×C₁₁²

C₂²

socle

C₃×C₇×C₁₁²

C₂²×C₃

prime radical

C₃×C₁₁×D₇×D₁₁

C₃

cosocle

C₃×C₇×C₁₁

C₂²×C₃×C₁₁

LCS

G ▷ C₇×C₁₁

UCS

C₁ ◁ C₉×C₁₁

N	H ≅ G/N	type
1. C₉×C₁₁×D₇₇	C₂	semidirect
2. C₉×C₁₁²×D₇	C₂	semidirect
3. C₇×C₉×C₁₁×D₁₁	C₂	semidirect
5. C₇×C₉×C₁₁²	C₂²	semidirect
10. C₁₁×D₇×D₁₁	C₉	direct (N × H)
12. C₉×D₇×D₁₁	C₁₁	direct (N × H)
15. C₉×C₁₁×D₁₁	D₇	direct (N × H)
17. C₁₁×D₇₇	C₂×C₉	semidirect
18. C₁₁²×D₇	C₂×C₉	semidirect
19. C₇×C₁₁×D₁₁	C₂×C₉	semidirect
22. C₉×D₇₇	C₂×C₁₁	semidirect
25. C₉×C₁₁×D₇	D₁₁	direct (N × H)
26. C₉×C₁₁×D₇	C₂×C₁₁	semidirect
27. C₇×C₉×D₁₁	C₂×C₁₁	semidirect
28. C₉×C₁₁²	C₂×D₇	semidirect
31. C₇×C₁₁²	C₂²×C₉	semidirect
36. C₇×C₉×C₁₁	C₂×D₁₁	semidirect
37. C₇×C₉×C₁₁	C₂²×C₁₁	semidirect
50. D₇×D₁₁	C₉×C₁₁	direct (N × H)
54. C₁₁×D₁₁	C₉×D₇	direct (N × H)
64. C₉×D₁₁	C₁₁×D₇	direct (N × H)
66. D₇₇	C₂×C₉×C₁₁	semidirect
67. C₇×D₁₁	C₂×C₉×C₁₁	semidirect
70. C₁₁×D₇	C₉×D₁₁	direct (N × H)
71. C₁₁×D₇	C₂×C₉×C₁₁	semidirect
76. C₉×D₇	C₁₁×D₁₁	direct (N × H)
77. C₁₁²	C₂×C₉×D₇	semidirect
79. C₉×C₁₁	D₇×D₁₁	direct (N × H)
80. C₉×C₁₁	C₂×C₁₁×D₇	semidirect
83. C₇×C₁₁	C₂×C₉×D₁₁	semidirect
84. C₇×C₁₁	C₂²×C₉×C₁₁	semidirect
92. C₇×C₉	C₂×C₁₁×D₁₁	semidirect
109. D₁₁	C₉×C₁₁×D₇	direct (N × H)
116. D₇	C₉×C₁₁×D₁₁	direct (N × H)
119. C₁₁	C₉×D₇×D₁₁	direct (N × H)
120. C₁₁	C₂×C₉×C₁₁×D₇	semidirect
121. C₉	C₁₁×D₇×D₁₁	direct (N × H)
122. C₇	C₂×C₉×C₁₁×D₁₁	semidirect

H ≅ G/N

type

1. C₉×C₁₁×D₇₇

C₂

semidirect

2. C₉×C₁₁²×D₇

C₂

semidirect

3. C₇×C₉×C₁₁×D₁₁

C₂

semidirect

5. C₇×C₉×C₁₁²

C₂²

semidirect

10. C₁₁×D₇×D₁₁

C₉

direct (N × H)

12. C₉×D₇×D₁₁

C₁₁

direct (N × H)

15. C₉×C₁₁×D₁₁

D₇

direct (N × H)

17. C₁₁×D₇₇

C₂×C₉

semidirect

18. C₁₁²×D₇

C₂×C₉

semidirect

19. C₇×C₁₁×D₁₁

C₂×C₉

semidirect

22. C₉×D₇₇

C₂×C₁₁

semidirect

25. C₉×C₁₁×D₇

D₁₁

direct (N × H)

26. C₉×C₁₁×D₇

C₂×C₁₁

semidirect

27. C₇×C₉×D₁₁

C₂×C₁₁

semidirect

28. C₉×C₁₁²

C₂×D₇

semidirect

31. C₇×C₁₁²

C₂²×C₉

semidirect

36. C₇×C₉×C₁₁

C₂×D₁₁

semidirect

37. C₇×C₉×C₁₁

C₂²×C₁₁

semidirect

50. D₇×D₁₁

C₉×C₁₁

direct (N × H)

54. C₁₁×D₁₁

C₉×D₇

direct (N × H)

64. C₉×D₁₁

C₁₁×D₇

direct (N × H)

66. D₇₇

C₂×C₉×C₁₁

semidirect

67. C₇×D₁₁

C₂×C₉×C₁₁

semidirect

70. C₁₁×D₇

C₉×D₁₁

direct (N × H)

71. C₁₁×D₇

C₂×C₉×C₁₁

semidirect

76. C₉×D₇

C₁₁×D₁₁

direct (N × H)

77. C₁₁²

C₂×C₉×D₇

semidirect

79. C₉×C₁₁

D₇×D₁₁

direct (N × H)

80. C₉×C₁₁

C₂×C₁₁×D₇

semidirect

83. C₇×C₁₁

C₂×C₉×D₁₁

semidirect

84. C₇×C₁₁

C₂²×C₉×C₁₁

semidirect

92. C₇×C₉

C₂×C₁₁×D₁₁

semidirect

109. D₁₁

C₉×C₁₁×D₇

direct (N × H)

116. D₇

C₉×C₁₁×D₁₁

direct (N × H)

119. C₁₁

C₉×D₇×D₁₁

direct (N × H)

120. C₁₁

C₂×C₉×C₁₁×D₇

semidirect

121. C₉

C₁₁×D₇×D₁₁

direct (N × H)

122. C₇

C₂×C₉×C₁₁×D₁₁

semidirect

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

subgroup	index
C₉×C₁₁×D₇₇	2
C₉×C₁₁²×D₇	2
C₇×C₉×C₁₁×D₁₁	2
C₃×C₁₁×D₇×D₁₁	3
C₂×C₉×C₁₁×D₁₁	7
C₂×C₉×C₁₁×D₇	11
C₉×D₇×D₁₁	11

subgroup

index

C₉×C₁₁×D₇₇

C₉×C₁₁²×D₇

C₇×C₉×C₁₁×D₁₁

C₃×C₁₁×D₇×D₁₁

C₂×C₉×C₁₁×D₁₁

C₂×C₉×C₁₁×D₇

C₉×D₇×D₁₁

Subgroups — C₉×C₁₁×D₇×D₁₁ #44478952

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C9×C11×D7×D11 #44478952

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×C₁₁×D₇×D₁₁ #44478952