Group #37581151 — subgroups

Subgroups — #37581151

Order 24448.

484 conjugacy classes of subgroups; only the 197 normal subgroups are shown.

normal subgroups only

This group has 484 conjugacy classes of subgroups — too many to draw. Only its 197 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	C₂×C₄²×D₁₉₁	C₂	1	1	yes	maximal, characteristic
2	#27132718	C₂	1	4	yes	maximal, complemented
3	#27132714	C₂	1	4	yes	maximal, complemented
4	#27132686	C₂	1	2	yes	maximal, complemented
5	#27132626	C₂	1	2	yes	maximal
6	C₄×#15690271	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄×M₁₆×C₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×C₄×D₁₉₁	C₄	1	2	yes	—
9	C₂²×C₄×D₁₉₁	C₂²	1	1	yes	characteristic
10	C₂×#15690271	C₂²	1	2	yes	—
11	C₂×C₄×Dic₁₉₁	C₄	1	2	yes	—
12	C₂×C₄×Dic₁₉₁	C₂²	1	1	yes	characteristic
13	C₄²×D₁₉₁	C₄	1	2	yes	—
14	C₄²×D₁₉₁	C₄	1	2	yes	—
15	C₄²×D₁₉₁	C₂²	1	2	yes	—
16	C₄²×D₁₉₁	C₂²	1	2	yes	—
17	Dic₁₉₁⋊C₈	C₂²	1	8	yes	complemented
18	(C₂×D₁₉₁)⋊C₈	C₂²	1	8	yes	—
19	#20259233	C₂²	1	2	yes	complemented
20	C₄×C₁₉₁⋊C₈	C₂²	1	2	yes	complemented
21	C₂×M₁₆×C₁₉₁	C₂²	1	2	yes	—
22	C₂×C₄²×C₁₉₁	C₂²	1	1	yes	characteristic
23	#97×C₁₉₁	C₂²	1	2	yes	complemented
24	C₄×C₈×C₁₉₁	C₂²	1	2	yes	complemented
25	C₂³×D₁₉₁	C₂×C₄	1	1	yes	characteristic
26	C₂²×Dic₁₉₁	C₂×C₄	1	2	yes	—
27	C₂²×Dic₁₉₁	C₂×C₄	1	1	yes	characteristic
28	C₂×C₄×D₁₉₁	—	2	8	no	—
29	C₂×C₄×D₁₉₁	—	2	4	no	—
30	C₂×C₄×D₁₉₁	C₂×C₄	1	2	yes	—
31	C₂×C₄×D₁₉₁	C₂×C₄	1	2	yes	—
32	C₂×C₄×D₁₉₁	C₂×C₄	1	2	yes	—
33	C₂×C₄×D₁₉₁	C₂×C₄	1	2	yes	—
34	C₂×C₄×D₁₉₁	C₂×C₄	1	2	yes	—
35	C₂×C₄×D₁₉₁	C₂³	1	2	yes	—
36	#15690271	—	2	4	no	—
37	C₂×C₁₉₁⋊C₈	C₂³	1	4	yes	—
38	C₄×Dic₁₉₁	C₂×C₄	1	1	yes	characteristic
39	C₄×Dic₁₉₁	C₂×C₄	1	1	yes	characteristic
40	C₄×Dic₁₉₁	C₂×C₄	1	2	yes	—
41	C₄×Dic₁₉₁	C₂×C₄	1	2	yes	—
42	C₄×Dic₁₉₁	C₂×C₄	1	2	yes	—
43	C₄×Dic₁₉₁	C₂×C₄	1	2	yes	—
44	C₄×Dic₁₉₁	C₂³	1	2	yes	—
45	C₂²×C₄×C₁₉₁	C₂×C₄	1	2	yes	—
46	C₂²×C₄×C₁₉₁	C₂³	1	1	yes	characteristic
47	M₁₆×C₁₉₁	—	2	4	no	—
48	C₂×C₈×C₁₉₁	C₂³	1	4	yes	—
49	C₄²×C₁₉₁	C₂×C₄	1	2	yes	—
50	C₄²×C₁₉₁	C₂³	1	1	yes	characteristic
51	C₄²×C₁₉₁	C₂³	1	1	yes	characteristic
52	C₂²×D₁₉₁	—	2	2	no	—
53	C₂²×D₁₉₁	—	2	4	no	—
54	C₂²×D₁₉₁	C₂²×C₄	1	2	yes	—
55	C₂×Dic₁₉₁	—	2	2	no	—
56	C₂×Dic₁₉₁	—	2	4	no	—
57	C₂×Dic₁₉₁	C₂²×C₄	1	2	yes	—
58	C₂×Dic₁₉₁	C₂²×C₄	1	2	yes	—
59	C₂×Dic₁₉₁	C₂²×C₄	1	2	yes	—
60	C₄×D₁₉₁	—	2	4	no	—
61	C₄×D₁₉₁	—	2	4	no	—
62	C₄×D₁₉₁	—	2	4	no	—
63	C₄×D₁₉₁	—	2	4	no	—
64	C₄×D₁₉₁	—	2	4	no	—
65	C₄×D₁₉₁	M₁₆	1	8	yes	complemented
66	C₁₉₁⋊C₈	—	2	4	no	—
67	C₂³×C₁₉₁	C₂²×C₄	1	1	yes	characteristic
68	C₂×C₄×C₁₉₁	—	2	4	no	—
69	C₂×C₄×C₁₉₁	C₂²×C₄	1	2	yes	—
70	C₂×C₄×C₁₉₁	C₂²×C₄	1	1	yes	characteristic
71	C₂×C₄×C₁₉₁	C₂²×C₄	1	2	yes	—
72	C₂×C₄×C₁₉₁	#41	1	4	yes	—
73	C₂×C₄×C₁₉₁	C₂⁴	1	1	yes	characteristic
74	C₈×C₁₉₁	—	2	4	no	—
75	C₂²×C₁₉₁	—	2	2	no	—
76	C₂²×C₁₉₁	#117	1	2	yes	—
77	C₂²×C₁₉₁	C₂³×C₄	1	1	yes	characteristic
78	C₂×D₁₉₁	—	2	8	no	—
79	C₂×D₁₉₁	—	2	2	no	—
80	C₂×D₁₉₁	—	2	2	no	—
81	C₂×D₁₉₁	C₂×M₁₆	1	4	yes	—
82	C₄×C₁₉₁	—	2	2	no	—
83	C₄×C₁₉₁	#117	1	2	yes	—
84	C₄×C₁₉₁	C₂×M₁₆	1	4	yes	—
85	C₄×C₁₉₁	C₂×#41	1	2	yes	—
86	Dic₁₉₁	—	2	2	no	—
87	Dic₁₉₁	—	2	2	no	—
88	Dic₁₉₁	C₂×M₁₆	1	4	yes	—
89	C₂×C₁₉₁	—	2	2	no	—
90	C₂×C₁₉₁	C₂×#117	1	1	yes	characteristic
91	C₂×C₁₉₁	C₂²×M₁₆	1	2	yes	—
92	D₁₉₁	—	2	4	no	—
93	C₁₉₁	#2920	1	1	yes	characteristic, complemented, Sylow
94	#2920	—	191	1	no	maximal, Sylow
95	C₂²×C₄²	—	191	1	no	—
96	#432	—	191	4	no	—
97	#431	—	191	4	no	—
98	#423	—	191	2	no	—
99	#407	—	191	2	no	—
100	C₄×M₁₆	—	191	1	no	—
101	C₄×M₁₆	D₁₉₁	1	1	yes	characteristic, complemented
102	C₂³×C₄	—	191	2	no	—
103	C₂³×C₄	—	191	1	no	—
104	C₂×M₁₆	—	191	2	no	—
105	C₂×M₁₆	C₂×D₁₉₁	1	2	yes	—
106	C₂×C₄²	—	191	2	no	—
107	C₂×C₄²	—	191	1	no	—
108	C₂×C₄²	—	191	2	no	—
109	C₂×C₄²	—	191	2	no	—
110	C₂×C₄²	—	191	2	no	—
111	C₂×C₄²	—	191	2	no	—
112	C₂×C₄²	C₂×D₁₉₁	1	1	yes	characteristic
113	C₄⋊C₈	—	191	8	no	—
114	C₂²⋊C₈	—	191	8	no	—
115	#97	—	191	2	no	—
116	#97	C₂×D₁₉₁	1	2	yes	complemented
117	C₄×C₈	—	191	2	no	—
118	C₄×C₈	C₂×D₁₉₁	1	2	yes	complemented
119	C₂⁴	—	191	1	no	—
120	C₂²×C₄	—	382	8	no	—
121	C₂²×C₄	—	382	4	no	—
122	C₂²×C₄	—	191	1	no	—
123	C₂²×C₄	—	191	2	no	—
124	C₂²×C₄	—	191	2	no	—
125	C₂²×C₄	—	191	2	no	—
126	C₂²×C₄	—	191	2	no	—
127	C₂²×C₄	—	191	2	no	—
128	C₂²×C₄	—	191	2	no	—
129	C₂²×C₄	—	191	2	no	—
130	C₂²×C₄	C₄×D₁₉₁	1	2	yes	—
131	C₂²×C₄	C₂²×D₁₉₁	1	1	yes	characteristic
132	M₁₆	—	2	4	no	—
133	M₁₆	—	382	4	no	—
134	C₂×C₈	—	191	4	no	—
135	C₂×C₈	C₂²×D₁₉₁	1	4	yes	—
136	C₄²	—	191	2	no	—
137	C₄²	—	191	1	no	—
138	C₄²	—	191	2	no	—
139	C₄²	—	191	2	no	—
140	C₄²	—	191	2	no	—
141	C₄²	—	191	1	no	—
142	C₄²	—	191	2	no	—
143	C₄²	C₄×D₁₉₁	1	2	yes	—
144	C₄²	C₂²×D₁₉₁	1	1	yes	characteristic
145	C₄²	C₂²×D₁₉₁	1	1	yes	characteristic
146	C₂³	—	382	4	no	—
147	C₂³	—	382	2	no	—
148	C₂³	—	191	2	no	—
149	C₂³	C₂×C₄×D₁₉₁	1	1	yes	characteristic
150	C₂×C₄	—	2	4	no	—
151	C₂×C₄	—	382	4	no	—
152	C₂×C₄	—	382	4	no	—
153	C₂×C₄	—	382	2	no	—
154	C₂×C₄	—	382	4	no	—
155	C₂×C₄	—	382	4	no	—
156	C₂×C₄	—	382	4	no	—
157	C₂×C₄	—	382	4	no	—
158	C₂×C₄	—	191	2	no	—
159	C₂×C₄	—	191	2	no	—
160	C₂×C₄	—	191	2	no	—
161	C₂×C₄	—	191	8	no	—
162	C₂×C₄	C₂×C₄×D₁₉₁	1	2	yes	—
163	C₂×C₄	C₂×C₄×D₁₉₁	1	1	yes	characteristic
164	C₂×C₄	C₂×C₄×D₁₉₁	1	2	yes	—
165	C₂×C₄	#15690287	1	4	yes	—
166	C₂×C₄	C₂³×D₁₉₁	1	1	yes	characteristic
167	C₈	—	2	4	no	—
168	C₈	—	382	4	no	—
169	C₂²	—	2	2	no	—
170	C₂²	—	382	8	no	—
171	C₂²	—	382	2	no	—
172	C₂²	—	382	2	no	—
173	C₂²	—	191	4	no	—
174	C₂²	#20259279	1	2	yes	—
175	C₂²	C₂²×C₄×D₁₉₁	1	1	yes	characteristic
176	C₄	—	2	2	no	—
177	C₄	—	382	2	no	—
178	C₄	—	382	2	no	—
179	C₄	—	191	4	no	—
180	C₄	#20259279	1	2	yes	—
181	C₄	M₁₆×D₁₉₁	1	4	yes	—
182	C₄	C₂×#15690287	1	2	yes	—
183	C₂	—	2	2	no	—
184	C₂	—	382	4	no	—
185	C₂	C₂×#20259279	1	1	yes	characteristic
186	C₂	C₂×M₁₆×D₁₉₁	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×C₄²×D₁₉₁

C₂

yes

maximal, characteristic

#27132718

C₂

yes

maximal, complemented

#27132714

C₂

yes

maximal, complemented

#27132686

C₂

yes

maximal, complemented

#27132626

C₂

yes

maximal

C₄×#15690271

C₂

yes

maximal, characteristic, complemented

C₄×M₁₆×C₁₉₁

C₂

yes

maximal, characteristic, complemented

C₂²×C₄×D₁₉₁

C₄

yes

—

C₂²×C₄×D₁₉₁

C₂²

yes

characteristic

C₂×#15690271

C₂²

yes

—

C₂×C₄×Dic₁₉₁

C₄

yes

—

C₂×C₄×Dic₁₉₁

C₂²

yes

characteristic

C₄²×D₁₉₁

C₄

yes

—

C₄²×D₁₉₁

C₄

yes

—

C₄²×D₁₉₁

C₂²

yes

—

C₄²×D₁₉₁

C₂²

yes

—

Dic₁₉₁⋊C₈

C₂²

yes

complemented

(C₂×D₁₉₁)⋊C₈

C₂²

yes

—

#20259233

C₂²

yes

complemented

C₄×C₁₉₁⋊C₈

C₂²

yes

complemented

C₂×M₁₆×C₁₉₁

C₂²

yes

—

C₂×C₄²×C₁₉₁

C₂²

yes

characteristic

#97×C₁₉₁

C₂²

yes

complemented

C₄×C₈×C₁₉₁

C₂²

yes

complemented

C₂³×D₁₉₁

C₂×C₄

yes

characteristic

C₂²×Dic₁₉₁

C₂×C₄

yes

—

C₂²×Dic₁₉₁

C₂×C₄

yes

characteristic

C₂×C₄×D₁₉₁

—

C₂×C₄×D₁₉₁

—

C₂×C₄×D₁₉₁

C₂×C₄

yes

—

C₂×C₄×D₁₉₁

C₂×C₄

yes

—

C₂×C₄×D₁₉₁

C₂×C₄

yes

—

C₂×C₄×D₁₉₁

C₂×C₄

yes

—

C₂×C₄×D₁₉₁

C₂×C₄

yes

—

C₂×C₄×D₁₉₁

C₂³

yes

—

#15690271

—

C₂×C₁₉₁⋊C₈

C₂³

yes

—

C₄×Dic₁₉₁

C₂×C₄

yes

characteristic

C₄×Dic₁₉₁

C₂×C₄

yes

characteristic

C₄×Dic₁₉₁

C₂×C₄

yes

—

C₄×Dic₁₉₁

C₂×C₄

yes

—

C₄×Dic₁₉₁

C₂×C₄

yes

—

C₄×Dic₁₉₁

C₂×C₄

yes

—

C₄×Dic₁₉₁

C₂³

yes

—

C₂²×C₄×C₁₉₁

C₂×C₄

yes

—

C₂²×C₄×C₁₉₁

C₂³

yes

characteristic

M₁₆×C₁₉₁

—

C₂×C₈×C₁₉₁

C₂³

yes

—

C₄²×C₁₉₁

C₂×C₄

yes

—

C₄²×C₁₉₁

C₂³

yes

characteristic

C₄²×C₁₉₁

C₂³

yes

characteristic

C₂²×D₁₉₁

—

C₂²×D₁₉₁

—

C₂²×D₁₉₁

C₂²×C₄

yes

—

C₂×Dic₁₉₁

—

C₂×Dic₁₉₁

—

C₂×Dic₁₉₁

C₂²×C₄

yes

—

C₂×Dic₁₉₁

C₂²×C₄

yes

—

C₂×Dic₁₉₁

C₂²×C₄

yes

—

C₄×D₁₉₁

—

C₄×D₁₉₁

—

C₄×D₁₉₁

—

C₄×D₁₉₁

—

C₄×D₁₉₁

—

C₄×D₁₉₁

M₁₆

yes

complemented

C₁₉₁⋊C₈

—

C₂³×C₁₉₁

C₂²×C₄

yes

characteristic

C₂×C₄×C₁₉₁

—

C₂×C₄×C₁₉₁

C₂²×C₄

yes

—

C₂×C₄×C₁₉₁

C₂²×C₄

yes

characteristic

C₂×C₄×C₁₉₁

C₂²×C₄

yes

—

C₂×C₄×C₁₉₁

#41

yes

—

C₂×C₄×C₁₉₁

C₂⁴

yes

characteristic

C₈×C₁₉₁

—

C₂²×C₁₉₁

—

C₂²×C₁₉₁

#117

yes

—

C₂²×C₁₉₁

C₂³×C₄

yes

characteristic

C₂×D₁₉₁

—

C₂×D₁₉₁

—

C₂×D₁₉₁

—

C₂×D₁₉₁

C₂×M₁₆

yes

—

C₄×C₁₉₁

—

C₄×C₁₉₁

#117

yes

—

C₄×C₁₉₁

C₂×M₁₆

yes

—

C₄×C₁₉₁

C₂×#41

yes

—

Dic₁₉₁

—

Dic₁₉₁

—

Dic₁₉₁

C₂×M₁₆

yes

—

C₂×C₁₉₁

—

C₂×C₁₉₁

C₂×#117

yes

characteristic

C₂×C₁₉₁

C₂²×M₁₆

yes

—

D₁₉₁

—

C₁₉₁

#2920

yes

characteristic, complemented, Sylow

#2920

—

191

maximal, Sylow

C₂²×C₄²

—

191

—

#432

—

191

—

#431

—

191

—

#423

—

191

—

#407

—

191

—

100

C₄×M₁₆

—

191

—

101

C₄×M₁₆

D₁₉₁

yes

characteristic, complemented

102

C₂³×C₄

—

191

—

103

C₂³×C₄

—

191

—

104

C₂×M₁₆

—

191

—

105

C₂×M₁₆

C₂×D₁₉₁

yes

—

106

C₂×C₄²

—

191

—

107

C₂×C₄²

—

191

—

108

C₂×C₄²

—

191

—

109

C₂×C₄²

—

191

—

110

C₂×C₄²

—

191

—

111

C₂×C₄²

—

191

—

112

C₂×C₄²

C₂×D₁₉₁

yes

characteristic

113

C₄⋊C₈

—

191

—

114

C₂²⋊C₈

—

191

—

115

#97

—

191

—

116

#97

C₂×D₁₉₁

yes

complemented

117

C₄×C₈

—

191

—

118

C₄×C₈

C₂×D₁₉₁

yes

complemented

119

C₂⁴

—

191

—

120

C₂²×C₄

—

382

—

121

C₂²×C₄

—

382

—

122

C₂²×C₄

—

191

—

123

C₂²×C₄

—

191

—

124

C₂²×C₄

—

191

—

125

C₂²×C₄

—

191

—

126

C₂²×C₄

—

191

—

127

C₂²×C₄

—

191

—

128

C₂²×C₄

—

191

—

129

C₂²×C₄

—

191

—

130

C₂²×C₄

C₄×D₁₉₁

yes

—

131

C₂²×C₄

C₂²×D₁₉₁

yes

characteristic

132

M₁₆

—

133

M₁₆

—

382

—

134

C₂×C₈

—

191

—

135

C₂×C₈

C₂²×D₁₉₁

yes

—

136

C₄²

—

191

—

137

C₄²

—

191

—

138

C₄²

—

191

—

139

C₄²

—

191

—

140

C₄²

—

191

—

141

C₄²

—

191

—

142

C₄²

—

191

—

143

C₄²

C₄×D₁₉₁

yes

—

144

C₄²

C₂²×D₁₉₁

yes

characteristic

145

C₄²

C₂²×D₁₉₁

yes

characteristic

146

C₂³

—

382

—

147

C₂³

—

382

—

148

C₂³

—

191

—

149

C₂³

C₂×C₄×D₁₉₁

yes

characteristic

150

C₂×C₄

—

151

C₂×C₄

—

382

—

152

C₂×C₄

—

382

—

153

C₂×C₄

—

382

—

154

C₂×C₄

—

382

—

155

C₂×C₄

—

382

—

156

C₂×C₄

—

382

—

157

C₂×C₄

—

382

—

158

C₂×C₄

—

191

—

159

C₂×C₄

—

191

—

160

C₂×C₄

—

191

—

161

C₂×C₄

—

191

—

162

C₂×C₄

C₂×C₄×D₁₉₁

yes

—

163

C₂×C₄

C₂×C₄×D₁₉₁

yes

characteristic

164

C₂×C₄

C₂×C₄×D₁₉₁

yes

—

165

C₂×C₄

#15690287

yes

—

166

C₂×C₄

C₂³×D₁₉₁

yes

characteristic

167

C₈

—

168

C₈

—

382

—

169

C₂²

—

170

C₂²

—

382

—

171

C₂²

—

382

—

172

C₂²

—

382

—

173

C₂²

—

191

—

174

C₂²

#20259279

yes

—

175

C₂²

C₂²×C₄×D₁₉₁

yes

characteristic

176

C₄

—

177

C₄

—

382

—

178

C₄

—

382

—

179

C₄

—

191

—

180

C₄

#20259279

yes

—

181

C₄

M₁₆×D₁₉₁

yes

—

182

C₄

C₂×#15690287

yes

—

183

C₂

—

184

C₂

—

382

—

185

C₂

C₂×#20259279

yes

characteristic

186

C₂

C₂×M₁₆×D₁₉₁

yes

—

	subgroup	G/H
center	C₄²	C₂²×D₁₉₁
commutator, socle	C₂²×C₁₉₁	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₁₉₁
Fitting	C₄×M₁₆×C₁₉₁	C₂
prime radical	C₂³×D₁₉₁	C₂×C₄
cosocle	C₂×C₄×C₁₉₁	C₂⁴
hypercenter	C₄×M₁₆	D₁₉₁
hypocenter	C₁₉₁	#2920
LCS	G ▷ C₂²×C₁₉₁ ▷ C₁₉₁
UCS	C₁ ◁ C₄² ◁ C₄×M₁₆

subgroup

G/H

center

C₄²

C₂²×D₁₉₁

commutator, socle

C₂²×C₁₉₁

C₂³×C₄

Frattini

C₂×C₄

C₂³×D₁₉₁

Fitting

C₄×M₁₆×C₁₉₁

C₂

prime radical

C₂³×D₁₉₁

C₂×C₄

cosocle

C₂×C₄×C₁₉₁

C₂⁴

hypercenter

C₄×M₁₆

D₁₉₁

C₁₉₁

G ▷ C₂²×C₁₉₁ ▷ C₁₉₁

C₁ ◁ C₄² ◁ C₄×M₁₆

N	H ≅ G/N	type
2. #27132718	C₂	semidirect
3. #27132714	C₂	semidirect
4. #27132686	C₂	semidirect
6. C₄×#15690271	C₂	semidirect
7. C₄×M₁₆×C₁₉₁	C₂	semidirect
17. Dic₁₉₁⋊C₈	C₂²	semidirect
19. #20259233	C₂²	semidirect
20. C₄×C₁₉₁⋊C₈	C₂²	semidirect
23. #97×C₁₉₁	C₂²	semidirect
24. C₄×C₈×C₁₉₁	C₂²	semidirect
65. C₄×D₁₉₁	M₁₆	semidirect
93. C₁₉₁	#2920	semidirect
101. C₄×M₁₆	D₁₉₁	semidirect
116. #97	C₂×D₁₉₁	semidirect
118. C₄×C₈	C₂×D₁₉₁	semidirect

H ≅ G/N

type

2. #27132718

C₂

semidirect

3. #27132714

C₂

semidirect

4. #27132686

C₂

semidirect

6. C₄×#15690271

C₂

semidirect

7. C₄×M₁₆×C₁₉₁

C₂

semidirect

17. Dic₁₉₁⋊C₈

C₂²

semidirect

19. #20259233

C₂²

semidirect

20. C₄×C₁₉₁⋊C₈

C₂²

semidirect

23. #97×C₁₉₁

C₂²

semidirect

24. C₄×C₈×C₁₉₁

C₂²

semidirect

65. C₄×D₁₉₁

M₁₆

semidirect

93. C₁₉₁

#2920

semidirect

101. C₄×M₁₆

D₁₉₁

semidirect

116. #97

C₂×D₁₉₁

semidirect

118. C₄×C₈

C₂×D₁₉₁

semidirect

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

subgroup	index
C₂×C₄²×D₁₉₁	2
#27132718	2
#27132714	2
#27132686	2
#27132626	2
C₄×#15690271	2
C₄×M₁₆×C₁₉₁	2
#2920	191

subgroup

index

C₂×C₄²×D₁₉₁

C₄×M₁₆×C₁₉₁

191

Subgroups — #37581151

Conjugacy classes of subgroups

Complements

Maximal subgroups