Group #15673826 — subgroups

Subgroups — #15673826

Order 2944.

432 conjugacy classes of subgroups; only the 129 normal subgroups are shown.

normal subgroups only

This group has 432 conjugacy classes of subgroups — too many to draw. Only its 129 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	C₂³×C₂₃⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#10625014	C₂	1	2	yes	maximal, complemented
3	#13092277	C₂	1	1	yes	maximal, characteristic, complemented
4	#13092179	C₂	1	2	yes	maximal, complemented
5	C₂×C₂₃×#121	C₂	1	1	yes	maximal, characteristic
6	C₂²×D₄×C₂₃	—	2	1	no	—
7	C₂²×D₄×C₂₃	C₂²	1	1	yes	characteristic
8	C₂³×C₄×C₂₃	C₂²	1	1	yes	characteristic
9	C₂₃×#121	—	2	2	no	—
10	C₂₃×#121	C₄	1	4	yes	complemented
11	C₂×C₄⋊C₄×C₂₃	C₂²	1	1	yes	characteristic
12	C₂×C₂²⋊C₄×C₂₃	—	2	1	no	—
13	C₂×C₂²⋊Dic₂₃	—	2	1	no	—
14	C₂×C₄⋊Dic₂₃	C₂²	1	2	yes	—
15	C₂²×C₂₃⋊C₈	—	2	2	no	—
16	C₂²×C₂₃⋊C₈	—	2	4	no	—
17	C₂²×C₂₃⋊C₈	C₂²	1	2	yes	—
18	#10625014	—	2	4	no	—
19	C₂₃⋊#95	—	2	1	no	—
20	C₂⁴×C₂₃	—	2	1	no	—
21	C₂⁴×C₂₃	D₄	1	1	yes	characteristic
22	C₂×D₄×C₂₃	—	2	4	no	—
23	C₂×D₄×C₂₃	—	2	2	no	—
24	C₂×D₄×C₂₃	—	2	1	no	—
25	C₂×D₄×C₂₃	—	2	2	no	—
26	C₂×D₄×C₂₃	—	4	2	no	—
27	C₂×D₄×C₂₃	—	4	2	no	—
28	C₂×D₄×C₂₃	C₂×C₄	1	2	yes	—
29	C₂²×C₄×C₂₃	—	2	2	no	—
30	C₂²×C₄×C₂₃	—	2	2	no	—
31	C₂²×C₄×C₂₃	—	2	1	no	—
32	C₂²×C₄×C₂₃	C₂×C₄	1	2	yes	—
33	C₂²×C₄×C₂₃	D₄	1	1	yes	characteristic
34	C₂²×C₄×C₂₃	D₄	1	2	yes	—
35	C₂²×C₄×C₂₃	C₂³	1	1	yes	characteristic
36	C₂²×Dic₂₃	—	2	2	no	—
37	C₄⋊C₄×C₂₃	—	2	1	no	—
38	C₄⋊C₄×C₂₃	C₂×C₄	1	2	yes	—
39	C₂²⋊C₄×C₂₃	—	2	4	no	—
40	C₂²⋊Dic₂₃	—	4	2	no	—
41	C₄⋊Dic₂₃	—	2	2	no	—
42	C₄⋊Dic₂₃	—	2	2	no	—
43	C₂×C₂₃⋊C₈	—	2	8	no	—
44	C₂×C₂₃⋊C₈	—	2	2	no	—
45	C₂×C₂₃⋊C₈	—	2	2	no	—
46	C₂×C₂₃⋊C₈	D₄	1	4	yes	complemented
47	C₂³×C₂₃	—	2	2	no	—
48	C₂³×C₂₃	—	2	2	no	—
49	C₂³×C₂₃	—	2	2	no	—
50	C₂³×C₂₃	—	4	2	no	—
51	C₂³×C₂₃	—	4	1	no	—
52	C₂³×C₂₃	—	4	1	no	—
53	C₂³×C₂₃	—	4	2	no	—
54	C₂³×C₂₃	C₂²⋊C₄	1	2	yes	—
55	C₂³×C₂₃	D₈	1	2	yes	—
56	C₂³×C₂₃	SD₁₆	1	2	yes	—
57	C₂³×C₂₃	C₂×D₄	1	1	yes	characteristic
58	D₄×C₂₃	—	2	4	no	—
59	D₄×C₂₃	—	4	8	no	—
60	D₄×C₂₃	—	4	1	no	—
61	D₄×C₂₃	—	4	1	no	—
62	C₂×C₄×C₂₃	—	2	2	no	—
63	C₂×C₄×C₂₃	—	2	4	no	—
64	C₂×C₄×C₂₃	—	2	2	no	—
65	C₂×C₄×C₂₃	—	2	2	no	—
66	C₂×C₄×C₂₃	—	2	2	no	—
67	C₂×C₄×C₂₃	—	4	1	no	—
68	C₂×C₄×C₂₃	—	4	1	no	—
69	C₂×C₄×C₂₃	C₂²⋊C₄	1	2	yes	—
70	C₂×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
71	C₂×C₄×C₂₃	C₂×D₄	1	2	yes	—
72	C₂×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
73	C₂×C₄×C₂₃	#41	1	2	yes	—
74	C₂×Dic₂₃	—	4	2	no	—
75	C₂×Dic₂₃	—	4	2	no	—
76	C₂×Dic₂₃	—	4	2	no	—
77	C₂₃⋊C₈	—	2	4	no	—
78	#1893	—	23	1	no	maximal, Sylow
79	C₂²×C₂₃	—	2	2	no	—
80	C₂²×C₂₃	—	2	2	no	—
81	C₂²×C₂₃	—	2	4	no	—
82	C₂²×C₂₃	—	2	4	no	—
83	C₂²×C₂₃	—	4	2	no	—
84	C₂²×C₂₃	—	4	2	no	—
85	C₂²×C₂₃	—	4	2	no	—
86	C₂²×C₂₃	—	8	2	no	—
87	C₂²×C₂₃	—	8	2	no	—
88	C₂²×C₂₃	#102	1	4	yes	complemented
89	C₂²×C₂₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
90	C₂²×C₂₃	#121	1	2	yes	—
91	C₂²×C₂₃	C₂×D₈	1	1	yes	characteristic
92	C₂²×C₂₃	C₂×SD₁₆	1	1	yes	characteristic
93	C₂²×C₂₃	#135	1	2	yes	—
94	C₄×C₂₃	—	2	2	no	—
95	C₄×C₂₃	—	4	2	no	—
96	C₄×C₂₃	C₄×D₄	1	2	yes	—
97	C₄×C₂₃	#120	1	1	yes	characteristic
98	C₄×C₂₃	#123	1	1	yes	characteristic
99	Dic₂₃	—	8	2	no	—
100	C₂³×C₈	—	23	1	no	—
101	C₂×#121	D₂₃	1	1	yes	characteristic
102	C₂×#102	—	23	2	no	—
103	#380	—	23	1	no	—
104	#340	—	23	2	no	—
105	C₂×C₂₃	—	2	4	no	—
106	C₂×C₂₃	—	8	2	no	—
107	C₂×C₂₃	#386	1	1	yes	characteristic
108	C₂×C₂₃	C₂×#102	1	1	yes	characteristic
109	C₂×C₂₃	#416	1	1	yes	characteristic
110	C₂×C₂₃	#465	1	2	yes	—
111	C₂×C₂₃	#466	1	2	yes	—
112	C₂²×D₄	—	2	1	no	—
113	C₂²×D₄	C₂×D₂₃	1	1	yes	characteristic
114	C₂³×C₄	C₂×D₂₃	1	1	yes	characteristic
115	C₂²×C₈	—	23	2	no	—
116	C₂²×C₈	—	46	4	no	—
117	C₂²×C₈	—	46	2	no	—
118	#121	—	2	2	no	—
119	#121	Dic₂₃	1	4	yes	complemented
120	C₂×C₄⋊C₄	—	23	2	no	—
121	C₂×C₄⋊C₄	C₂×D₂₃	1	1	yes	characteristic
122	C₂×C₂²⋊C₄	—	2	1	no	—
123	C₂×C₂²⋊C₄	—	46	1	no	—
124	#102	—	46	4	no	—
125	#95	—	46	1	no	—
126	C₂₃	#1893	1	1	yes	characteristic, complemented, Sylow
127	C₂⁴	—	2	1	no	—
128	C₂⁴	C₂²⋊D₂₃	1	1	yes	characteristic
129	C₂×D₄	—	2	4	no	—
130	C₂×D₄	—	2	2	no	—
131	C₂×D₄	—	2	2	no	—
132	C₂×D₄	—	2	1	no	—
133	C₂×D₄	—	4	2	no	—
134	C₂×D₄	—	4	2	no	—
135	C₂×D₄	C₂×Dic₂₃	1	2	yes	—
136	C₂²×C₄	—	2	2	no	—
137	C₂²×C₄	—	2	2	no	—
138	C₂²×C₄	—	2	1	no	—
139	C₂²×C₄	—	46	2	no	—
140	C₂²×C₄	C₂×Dic₂₃	1	2	yes	—
141	C₂²×C₄	C₂²⋊D₂₃	1	1	yes	characteristic
142	C₂²×C₄	C₂²⋊D₂₃	1	2	yes	—
143	C₂²×C₄	C₂²×D₂₃	1	1	yes	characteristic
144	C₂×C₈	—	23	4	no	—
145	C₂×C₈	—	46	8	no	—
146	C₂×C₈	—	46	2	no	—
147	C₂×C₈	—	46	2	no	—
148	C₄⋊C₄	—	2	1	no	—
149	C₄⋊C₄	—	46	2	no	—
150	C₄⋊C₄	—	46	2	no	—
151	C₄⋊C₄	C₂×Dic₂₃	1	2	yes	—
152	C₂²⋊C₄	—	2	4	no	—
153	C₂²⋊C₄	—	92	2	no	—
154	C₂³	—	2	2	no	—
155	C₂³	—	2	2	no	—
156	C₂³	—	2	2	no	—
157	C₂³	—	4	1	no	—
158	C₂³	—	4	1	no	—
159	C₂³	—	4	2	no	—
160	C₂³	—	4	2	no	—
161	C₂³	#67272	1	2	yes	—
162	C₂³	#67273	1	2	yes	—
163	C₂³	C₂²⋊Dic₂₃	1	2	yes	—
164	C₂³	C₂×C₂²⋊D₂₃	1	1	yes	characteristic
165	D₄	—	2	4	no	—
166	D₄	—	4	8	no	—
167	D₄	—	4	1	no	—
168	D₄	—	4	1	no	—
169	C₂×C₄	—	2	2	no	—
170	C₂×C₄	—	2	4	no	—
171	C₂×C₄	—	2	2	no	—
172	C₂×C₄	—	2	2	no	—
173	C₂×C₄	—	2	2	no	—
174	C₂×C₄	—	4	1	no	—
175	C₂×C₄	—	4	1	no	—
176	C₂×C₄	—	92	2	no	—
177	C₂×C₄	—	92	2	no	—
178	C₂×C₄	—	92	2	no	—
179	C₂×C₄	C₂²⋊Dic₂₃	1	2	yes	—
180	C₂×C₄	D₄×D₂₃	1	2	yes	—
181	C₂×C₄	#67290	1	2	yes	—
182	C₂×C₄	C₂²×Dic₂₃	1	1	yes	characteristic
183	C₂×C₄	C₂×C₂²⋊D₂₃	1	1	yes	characteristic
184	C₈	—	46	4	no	—
185	C₂²	—	2	4	no	—
186	C₂²	—	2	4	no	—
187	C₂²	—	2	2	no	—
188	C₂²	—	2	2	no	—
189	C₂²	—	4	2	no	—
190	C₂²	—	4	2	no	—
191	C₂²	—	4	2	no	—
192	C₂²	—	8	2	no	—
193	C₂²	—	8	2	no	—
194	C₂²	#10625014	1	4	yes	complemented
195	C₂²	C₂×#67272	1	1	yes	characteristic
196	C₂²	C₂×#67273	1	1	yes	characteristic
197	C₂²	#10625110	1	2	yes	—
198	C₂²	#10625121	1	2	yes	—
199	C₂²	C₂×C₂²⋊Dic₂₃	1	1	yes	characteristic
200	C₄	—	2	2	no	—
201	C₄	—	4	2	no	—
202	C₄	—	184	2	no	—
203	C₄	D₄×Dic₂₃	1	2	yes	—
204	C₄	#10625106	1	1	yes	characteristic
205	C₄	#10625108	1	1	yes	characteristic
206	C₂	—	2	4	no	—
207	C₂	—	8	2	no	—
208	C₂	#13092297	1	1	yes	characteristic
209	C₂	C₂×#10625014	1	1	yes	characteristic
210	C₂	#13092413	1	1	yes	characteristic
211	C₂	#13092644	1	2	yes	—
212	C₂	#13092651	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂³×C₂₃⋊C₈

C₂

yes

maximal, characteristic, complemented

C₂×#10625014

C₂

yes

maximal, complemented

#13092277

C₂

yes

maximal, characteristic, complemented

#13092179

C₂

yes

maximal, complemented

C₂×C₂₃×#121

C₂

yes

maximal, characteristic

C₂²×D₄×C₂₃

—

C₂²×D₄×C₂₃

C₂²

yes

characteristic

C₂³×C₄×C₂₃

C₂²

yes

characteristic

C₂₃×#121

—

C₂₃×#121

C₄

yes

complemented

C₂×C₄⋊C₄×C₂₃

C₂²

yes

characteristic

C₂×C₂²⋊C₄×C₂₃

—

C₂×C₂²⋊Dic₂₃

—

C₂×C₄⋊Dic₂₃

C₂²

yes

—

C₂²×C₂₃⋊C₈

—

C₂²×C₂₃⋊C₈

—

C₂²×C₂₃⋊C₈

C₂²

yes

—

#10625014

—

C₂₃⋊#95

—

C₂⁴×C₂₃

—

C₂⁴×C₂₃

D₄

yes

characteristic

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

C₂×C₄

yes

—

C₂²×C₄×C₂₃

—

C₂²×C₄×C₂₃

—

C₂²×C₄×C₂₃

—

C₂²×C₄×C₂₃

C₂×C₄

yes

—

C₂²×C₄×C₂₃

D₄

yes

characteristic

C₂²×C₄×C₂₃

D₄

yes

—

C₂²×C₄×C₂₃

C₂³

yes

characteristic

C₂²×Dic₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

C₂×C₄

yes

—

C₂²⋊C₄×C₂₃

—

C₂²⋊Dic₂₃

—

C₄⋊Dic₂₃

—

C₄⋊Dic₂₃

—

C₂×C₂₃⋊C₈

—

C₂×C₂₃⋊C₈

—

C₂×C₂₃⋊C₈

—

C₂×C₂₃⋊C₈

D₄

yes

complemented

C₂³×C₂₃

—

C₂³×C₂₃

—

C₂³×C₂₃

—

C₂³×C₂₃

—

C₂³×C₂₃

—

C₂³×C₂₃

—

C₂³×C₂₃

—

C₂³×C₂₃

C₂²⋊C₄

yes

—

C₂³×C₂₃

D₈

yes

—

C₂³×C₂₃

SD₁₆

yes

—

C₂³×C₂₃

C₂×D₄

yes

characteristic

D₄×C₂₃

—

D₄×C₂₃

—

D₄×C₂₃

—

D₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

C₂²⋊C₄

yes

—

C₂×C₄×C₂₃

C₂²×C₄

yes

characteristic

C₂×C₄×C₂₃

C₂×D₄

yes

—

C₂×C₄×C₂₃

C₂×D₄

yes

characteristic

C₂×C₄×C₂₃

#41

yes

—

C₂×Dic₂₃

—

C₂×Dic₂₃

—

C₂×Dic₂₃

—

C₂₃⋊C₈

—

#1893

—

maximal, Sylow

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

#102

yes

complemented

C₂²×C₂₃

C₂×C₂²⋊C₄

yes

characteristic

C₂²×C₂₃

#121

yes

—

C₂²×C₂₃

C₂×D₈

yes

characteristic

C₂²×C₂₃

C₂×SD₁₆

yes

characteristic

C₂²×C₂₃

#135

yes

—

C₄×C₂₃

—

C₄×C₂₃

—

C₄×C₂₃

C₄×D₄

yes

—

C₄×C₂₃

yes

C₄×C₂₃

yes

Dic₂₃

—

100

C₂³×C₈

—

101

C₂×#121

D₂₃

yes

characteristic

102

C₂×#102

—

103

#380

—

104

#340

—

105

C₂×C₂₃

—

106

C₂×C₂₃

—

107

C₂×C₂₃

#386

yes

characteristic

108

C₂×C₂₃

C₂×#102

yes

characteristic

109

C₂×C₂₃

#416

yes

characteristic

110

C₂×C₂₃

#465

yes

—

111

C₂×C₂₃

#466

yes

—

112

C₂²×D₄

—

113

C₂²×D₄

C₂×D₂₃

yes

characteristic

114

C₂³×C₄

C₂×D₂₃

yes

characteristic

115

C₂²×C₈

—

116

C₂²×C₈

—

117

C₂²×C₈

—

118

#121

—

119

#121

Dic₂₃

yes

complemented

120

C₂×C₄⋊C₄

—

121

C₂×C₄⋊C₄

C₂×D₂₃

yes

characteristic

122

C₂×C₂²⋊C₄

—

123

C₂×C₂²⋊C₄

—

124

#102

—

125

#95

—

126

C₂₃

#1893

yes

characteristic, complemented, Sylow

127

C₂⁴

—

128

C₂⁴

C₂²⋊D₂₃

yes

characteristic

129

C₂×D₄

—

130

C₂×D₄

—

131

C₂×D₄

—

132

C₂×D₄

—

133

C₂×D₄

—

134

C₂×D₄

—

135

C₂×D₄

C₂×Dic₂₃

yes

—

136

C₂²×C₄

—

137

C₂²×C₄

—

138

C₂²×C₄

—

139

C₂²×C₄

—

140

C₂²×C₄

C₂×Dic₂₃

yes

—

141

C₂²×C₄

C₂²⋊D₂₃

yes

characteristic

142

C₂²×C₄

C₂²⋊D₂₃

yes

—

143

C₂²×C₄

C₂²×D₂₃

yes

characteristic

144

C₂×C₈

—

145

C₂×C₈

—

146

C₂×C₈

—

147

C₂×C₈

—

148

C₄⋊C₄

—

149

C₄⋊C₄

—

150

C₄⋊C₄

—

151

C₄⋊C₄

C₂×Dic₂₃

yes

—

152

C₂²⋊C₄

—

153

C₂²⋊C₄

—

154

C₂³

—

155

C₂³

—

156

C₂³

—

157

C₂³

—

158

C₂³

—

159

C₂³

—

160

C₂³

—

161

C₂³

#67272

yes

—

162

C₂³

#67273

yes

—

163

C₂³

C₂²⋊Dic₂₃

yes

—

164

C₂³

C₂×C₂²⋊D₂₃

yes

characteristic

165

D₄

—

166

D₄

—

167

D₄

—

168

D₄

—

169

C₂×C₄

—

170

C₂×C₄

—

171

C₂×C₄

—

172

C₂×C₄

—

173

C₂×C₄

—

174

C₂×C₄

—

175

C₂×C₄

—

176

C₂×C₄

—

177

C₂×C₄

—

178

C₂×C₄

—

179

C₂×C₄

C₂²⋊Dic₂₃

yes

—

180

C₂×C₄

D₄×D₂₃

yes

—

181

C₂×C₄

#67290

yes

—

182

C₂×C₄

C₂²×Dic₂₃

yes

characteristic

183

C₂×C₄

C₂×C₂²⋊D₂₃

yes

characteristic

184

C₈

—

185

C₂²

—

186

C₂²

—

187

C₂²

—

188

C₂²

—

189

C₂²

—

190

C₂²

—

191

C₂²

—

192

C₂²

—

193

C₂²

—

194

C₂²

#10625014

yes

complemented

195

C₂²

C₂×#67272

yes

characteristic

196

C₂²

C₂×#67273

yes

characteristic

197

C₂²

#10625110

yes

—

198

C₂²

#10625121

yes

—

199

C₂²

C₂×C₂²⋊Dic₂₃

yes

characteristic

200

C₄

—

201

C₄

—

202

C₄

—

184

—

203

C₄

D₄×Dic₂₃

yes

—

204

C₄

#10625106

yes

characteristic

205

C₄

#10625108

yes

characteristic

206

C₂

—

207

C₂

—

208

C₂

#13092297

yes

characteristic

209

C₂

C₂×#10625014

yes

characteristic

210

C₂

#13092413

yes

characteristic

211

C₂

#13092644

yes

—

212

C₂

#13092651

yes

—

	subgroup	G/H
center	C₂³	C₂×C₂²⋊D₂₃
commutator	C₂×C₄×C₂₃	C₂²×C₄
Frattini	C₂²×C₄	C₂²×D₂₃
Fitting, prime radical	C₂×C₂₃×#121	C₂
socle	C₂³×C₂₃	C₂×D₄
cosocle	C₂²×C₄×C₂₃	C₂³
hypercenter	C₂×#121	D₂₃
hypocenter	C₂₃	#1893
LCS	G ▷ C₂×C₄×C₂₃ ▷ C₂×C₂₃ ▷ C₂₃
UCS	C₁ ◁ C₂³ ◁ C₂³×C₄ ◁ C₂×#121

subgroup

G/H

center

C₂³

C₂×C₂²⋊D₂₃

commutator

C₂×C₄×C₂₃

C₂²×C₄

Frattini

C₂²×C₄

C₂²×D₂₃

Fitting, prime radical

C₂×C₂₃×#121

C₂

socle

C₂³×C₂₃

C₂×D₄

cosocle

C₂²×C₄×C₂₃

C₂³

D₂₃

C₂₃

G ▷ C₂×C₄×C₂₃ ▷ C₂×C₂₃ ▷ C₂₃

UCS

C₁ ◁ C₂³ ◁ C₂³×C₄ ◁ C₂×#121

N	H ≅ G/N	type
1. C₂³×C₂₃⋊C₈	C₂	semidirect
2. C₂×#10625014	C₂	semidirect
3. #13092277	C₂	semidirect
4. #13092179	C₂	semidirect
10. C₂₃×#121	C₄	semidirect
46. C₂×C₂₃⋊C₈	D₄	semidirect
88. C₂²×C₂₃	#102	semidirect
119. #121	Dic₂₃	semidirect
126. C₂₃	#1893	semidirect
194. C₂²	#10625014	semidirect

H ≅ G/N

type

1. C₂³×C₂₃⋊C₈

C₂

semidirect

2. C₂×#10625014

C₂

semidirect

3. #13092277

C₂

semidirect

4. #13092179

C₂

semidirect

10. C₂₃×#121

C₄

semidirect

46. C₂×C₂₃⋊C₈

D₄

semidirect

88. C₂²×C₂₃

#102

semidirect

119. #121

Dic₂₃

semidirect

126. C₂₃

#1893

semidirect

194. C₂²

#10625014

semidirect

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

subgroup	index
C₂³×C₂₃⋊C₈	2
C₂×#10625014	2
#13092277	2
#13092179	2
C₂×C₂₃×#121	2
#1893	23

subgroup

index

C₂³×C₂₃⋊C₈

C₂×C₂₃×#121

Subgroups — #15673826

Conjugacy classes of subgroups

Complements

Maximal subgroups