Group #15765542 — subgroups

Subgroups — #15765542

Order 3328.

510 conjugacy classes of subgroups; only the 139 normal subgroups are shown.

normal subgroups only

This group has 510 conjugacy classes of subgroups — too many to draw. Only its 139 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×#11718752	C₂	1	2	yes	maximal
2	#13115772	C₂	1	1	yes	maximal, characteristic
3	C₂×#11718138	C₂	1	2	yes	maximal
4	#13112671	C₂	1	1	yes	maximal, characteristic
5	C₂×C₁₃×#500	C₂	1	1	yes	maximal, characteristic
6	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
7	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
8	C₁₃×#500	—	2	4	no	—
9	C₂×C₁₃×#107	—	2	2	no	—
10	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
11	#11718752	—	2	4	no	—
12	#11718752	—	2	4	no	—
13	C₂×#88050	—	2	2	no	—
14	C₂×#88047	—	2	2	no	—
15	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
16	C₂×C₄⋊#1055	C₂²	1	2	yes	—
17	#11718142	—	2	2	no	—
18	#11718138	—	2	4	no	—
19	C₂²×Q₈×C₁₃	—	2	2	no	—
20	C₂²×Dic₂₆	D₄	1	1	yes	characteristic
21	C₂²×C₈×C₁₃	D₄	1	2	yes	—
22	C₁₃×C₄⋊Q₈	—	2	2	no	—
23	C₁₃×C₄⋊Q₈	—	2	2	no	—
24	C₁₃×C₄⋊Q₈	—	2	2	no	—
25	C₁₃×C₄⋊Q₈	D₄	1	4	yes	—
26	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
27	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
28	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
29	C₂×C₄⋊Dic₁₃	D₄	1	1	yes	characteristic
30	C₂×#6101	—	2	1	no	—
31	C₂×C₄×Dic₁₃	—	2	1	no	—
32	C₂²×#1055	—	2	2	no	—
33	C₂²×#1055	—	2	1	no	—
34	C₄×Dic₂₆	—	2	2	no	—
35	C₄×Dic₂₆	—	2	2	no	—
36	C₁₃×#107	—	2	8	no	—
37	C₄×C₈×C₁₃	—	2	2	no	—
38	#88050	—	2	8	no	—
39	#88047	—	2	8	no	—
40	C₄⋊#1055	—	2	2	no	—
41	C₄⋊#1055	—	2	2	no	—
42	C₄⋊#1055	D₄	1	4	yes	—
43	#10279	—	13	1	no	maximal, Sylow
44	C₂×Q₈×C₁₃	—	2	4	no	—
45	C₂×Q₈×C₁₃	—	4	2	no	—
46	C₂×Q₈×C₁₃	—	8	4	no	—
47	C₂²×C₄×C₁₃	—	4	2	no	—
48	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
49	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
50	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
51	C₂²×Dic₁₃	—	2	1	no	—
52	C₂²×Dic₁₃	—	2	1	no	—
53	C₂×Dic₂₆	—	2	2	no	—
54	C₂×Dic₂₆	—	2	2	no	—
55	C₂×Dic₂₆	—	2	1	no	—
56	C₂×Dic₂₆	Q₁₆	1	2	yes	—
57	C₂×C₈×C₁₃	—	2	2	no	—
58	C₂×C₈×C₁₃	—	2	2	no	—
59	C₂×C₈×C₁₃	Q₁₆	1	4	yes	—
60	C₁₃×C₄⋊C₄	—	2	4	no	—
61	C₁₃×C₄⋊C₄	—	2	4	no	—
62	C₁₃×C₄⋊C₄	—	4	2	no	—
63	C₁₃×C₄⋊C₄	—	4	2	no	—
64	C₄²×C₁₃	C₂×D₄	1	2	yes	—
65	C₄²×C₁₃	C₂×D₄	1	2	yes	—
66	C₄⋊Dic₁₃	—	2	2	no	—
67	#6101	—	4	2	no	—
68	C₄×Dic₁₃	—	4	1	no	—
69	C₄×Dic₁₃	—	4	1	no	—
70	C₂×#1055	—	2	4	no	—
71	C₂×#1055	—	4	2	no	—
72	C₂×#1055	—	4	2	no	—
73	C₂×#1055	—	4	1	no	—
74	C₂×#1055	—	4	2	no	—
75	C₂×#500	D₁₃	1	1	yes	characteristic
76	C₂×#477	—	13	2	no	—
77	#1984	—	13	1	no	—
78	C₂×#333	—	13	2	no	—
79	#1277	—	13	1	no	—
80	C₂³×C₁₃	#121	1	1	yes	characteristic
81	Q₈×C₁₃	—	8	4	no	—
82	Q₈×C₁₃	—	8	4	no	—
83	C₂×C₄×C₁₃	—	2	2	no	—
84	C₂×C₄×C₁₃	—	4	4	no	—
85	C₂×C₄×C₁₃	—	8	4	no	—
86	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
87	C₂×C₄×C₁₃	#120	1	2	yes	—
88	C₂×C₄×C₁₃	#121	1	2	yes	—
89	C₂×C₄×C₁₃	#127	1	1	yes	characteristic
90	C₂×C₄×C₁₃	C₂×Q₁₆	1	1	yes	characteristic
91	C₂×C₄×C₁₃	C₂×Q₁₆	1	2	yes	—
92	C₂×C₄×C₁₃	#135	1	1	yes	characteristic
93	C₂×C₄×C₁₃	#137	1	2	yes	—
94	C₂×C₄×C₁₃	#137	1	2	yes	—
95	C₂×Dic₁₃	—	2	2	no	—
96	C₂×Dic₁₃	—	4	1	no	—
97	C₂×Dic₁₃	—	4	1	no	—
98	C₂×Dic₁₃	—	4	1	no	—
99	C₂×Dic₁₃	—	4	2	no	—
100	Dic₂₆	—	2	4	no	—
101	Dic₂₆	—	4	2	no	—
102	C₈×C₁₃	—	2	4	no	—
103	#1055	—	4	4	no	—
104	#1055	—	8	1	no	—
105	C₂×C₄⋊Q₈	C₂×D₁₃	1	2	yes	—
106	C₂×C₄×Q₈	—	13	1	no	—
107	#500	—	2	4	no	—
108	#477	—	26	4	no	—
109	#477	—	26	4	no	—
110	C₂×#107	—	2	2	no	—
111	C₂×#107	—	26	2	no	—
112	C₂×C₄⋊C₈	—	13	2	no	—
113	C₂×C₄⋊C₈	—	13	1	no	—
114	C₂×#103	—	26	2	no	—
115	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
116	#336	—	26	2	no	—
117	#333	—	26	4	no	—
118	C₂²×C₁₃	#392	1	1	yes	characteristic
119	C₂²×C₁₃	#462	1	2	yes	—
120	C₂²×C₁₃	#467	1	1	yes	characteristic
121	C₂²×C₁₃	#470	1	1	yes	characteristic
122	C₂²×C₁₃	#472	1	2	yes	—
123	C₄×C₁₃	—	2	2	no	—
124	C₄×C₁₃	—	8	4	no	—
125	C₄×C₁₃	#451	1	2	yes	—
126	C₄×C₁₃	#451	1	2	yes	—
127	C₄×C₁₃	#452	1	2	yes	—
128	C₄×C₁₃	#494	1	1	yes	characteristic
129	C₄×C₁₃	#497	1	1	yes	characteristic
130	Dic₁₃	—	4	2	no	—
131	Dic₁₃	—	8	1	no	—
132	C₂²×Q₈	—	2	2	no	—
133	C₂²×Q₈	—	13	1	no	—
134	C₂²×C₈	—	26	2	no	—
135	C₂²×C₈	—	26	1	no	—
136	C₂²×C₈	C₂²⋊D₁₃	1	2	yes	—
137	C₄⋊Q₈	—	2	2	no	—
138	C₄⋊Q₈	—	2	2	no	—
139	C₄⋊Q₈	—	2	2	no	—
140	C₄⋊Q₈	C₂²⋊D₁₃	1	4	yes	—
141	C₄×Q₈	—	26	2	no	—
142	C₄×Q₈	—	26	2	no	—
143	C₂×C₄⋊C₄	—	2	2	no	—
144	C₂×C₄⋊C₄	—	2	2	no	—
145	C₂×C₄⋊C₄	—	13	1	no	—
146	C₂×C₄⋊C₄	—	26	1	no	—
147	C₂×C₄²	—	26	1	no	—
148	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
149	#107	—	2	8	no	—
150	#107	—	26	8	no	—
151	C₄⋊C₈	—	13	4	no	—
152	C₄⋊C₈	—	26	2	no	—
153	C₄⋊C₈	—	26	2	no	—
154	#103	—	26	8	no	—
155	C₄×C₈	—	2	2	no	—
156	C₂×C₁₃	#1676	1	2	yes	—
157	C₂×C₁₃	#1696	1	2	yes	—
158	C₂×C₁₃	#2001	1	1	yes	characteristic
159	C₂×C₁₃	#2016	1	1	yes	characteristic
160	C₂×C₁₃	#2018	1	1	yes	characteristic
161	C₂×Q₈	—	2	4	no	—
162	C₂×Q₈	—	4	2	no	—
163	C₂×Q₈	—	8	4	no	—
164	C₂×Q₈	—	13	2	no	—
165	C₂×Q₈	—	26	1	no	—
166	C₂×Q₈	—	26	2	no	—
167	C₂×Q₈	—	26	2	no	—
168	C₂²×C₄	—	4	2	no	—
169	C₂²×C₄	—	26	1	no	—
170	C₂²×C₄	—	26	1	no	—
171	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
172	C₂²×C₄	#6129	1	1	yes	characteristic
173	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
174	C₂×C₈	—	2	2	no	—
175	C₂×C₈	—	2	2	no	—
176	C₂×C₈	—	26	4	no	—
177	C₂×C₈	—	52	2	no	—
178	C₂×C₈	—	52	2	no	—
179	C₂×C₈	—	52	1	no	—
180	C₂×C₈	—	52	2	no	—
181	C₂×C₈	#6107	1	4	yes	—
182	C₄⋊C₄	—	2	4	no	—
183	C₄⋊C₄	—	2	4	no	—
184	C₄⋊C₄	—	4	2	no	—
185	C₄⋊C₄	—	4	2	no	—
186	C₄⋊C₄	—	26	2	no	—
187	C₄⋊C₄	—	52	2	no	—
188	C₄²	—	52	1	no	—
189	C₄²	—	52	1	no	—
190	C₄²	D₄×D₁₃	1	2	yes	—
191	C₄²	C₂×C₂²⋊D₁₃	1	2	yes	—
192	C₁₃	#10279	1	1	yes	characteristic, complemented, Sylow
193	C₂³	#88192	1	1	yes	characteristic
194	Q₈	—	8	4	no	—
195	Q₈	—	8	4	no	—
196	Q₈	—	26	4	no	—
197	Q₈	—	52	2	no	—
198	C₂×C₄	—	2	2	no	—
199	C₂×C₄	—	4	4	no	—
200	C₂×C₄	—	8	4	no	—
201	C₂×C₄	—	26	2	no	—
202	C₂×C₄	—	52	1	no	—
203	C₂×C₄	—	52	1	no	—
204	C₂×C₄	—	52	2	no	—
205	C₂×C₄	—	52	1	no	—
206	C₂×C₄	Q₁₆×D₁₃	1	1	yes	characteristic
207	C₂×C₄	#88172	1	2	yes	—
208	C₂×C₄	#88173	1	1	yes	characteristic
209	C₂×C₄	#88191	1	2	yes	—
210	C₂×C₄	#88193	1	2	yes	—
211	C₂×C₄	#88194	1	1	yes	characteristic
212	C₂×C₄	#88196	1	2	yes	—
213	C₂×C₄	C₂×#6107	1	2	yes	—
214	C₂×C₄	#88207	1	1	yes	characteristic
215	C₈	—	2	4	no	—
216	C₈	—	52	4	no	—
217	C₈	—	104	1	no	—
218	C₂²	#11718751	1	2	yes	—
219	C₂²	#11718821	1	2	yes	—
220	C₂²	#11718849	1	1	yes	characteristic
221	C₂²	#11718850	1	1	yes	characteristic
222	C₂²	#11718884	1	1	yes	characteristic
223	C₄	—	2	2	no	—
224	C₄	—	8	4	no	—
225	C₄	—	52	2	no	—
226	C₄	—	104	1	no	—
227	C₄	#11718747	1	1	yes	characteristic
228	C₄	#11718753	1	1	yes	characteristic
229	C₄	#11718847	1	2	yes	—
230	C₄	#11718848	1	2	yes	—
231	C₄	#11718889	1	2	yes	—
232	C₂	#13114237	1	2	yes	—
233	C₂	#13114361	1	2	yes	—
234	C₂	#13115843	1	1	yes	characteristic
235	C₂	#13115936	1	1	yes	characteristic
236	C₂	#13115943	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#11718752

C₂

yes

maximal

#13115772

C₂

yes

maximal, characteristic

C₂×#11718138

C₂

yes

maximal

#13112671

C₂

yes

maximal, characteristic

C₂×C₁₃×#500

C₂

yes

maximal, characteristic

C₂×C₁₃×C₄⋊Q₈

C₂²

yes

—

C₂×C₄×Dic₂₆

C₂²

yes

characteristic

C₁₃×#500

—

C₂×C₁₃×#107

—

C₂×C₄×C₈×C₁₃

C₂²

yes

—

—

—

—

C₂×C₄⋊#1055

C₂²

yes

characteristic

C₂×C₄⋊#1055

C₂²

yes

—

#11718142

—

#11718138

—

C₂²×Q₈×C₁₃

—

C₂²×Dic₂₆

D₄

yes

characteristic

C₂²×C₈×C₁₃

D₄

yes

—

C₁₃×C₄⋊Q₈

—

C₁₃×C₄⋊Q₈

—

C₁₃×C₄⋊Q₈

—

C₁₃×C₄⋊Q₈

D₄

yes

—

C₂×C₁₃×C₄⋊C₄

—

C₂×C₁₃×C₄⋊C₄

—

C₂×C₄²×C₁₃

C₂³

yes

characteristic

C₂×C₄⋊Dic₁₃

D₄

yes

characteristic

C₂×#6101

—

C₂×C₄×Dic₁₃

—

C₂²×#1055

—

C₂²×#1055

—

C₄×Dic₂₆

—

C₄×Dic₂₆

—

C₁₃×#107

—

C₄×C₈×C₁₃

—

—

—

—

—

D₄

yes

—

#10279

—

maximal, Sylow

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₃

#41

yes

characteristic

C₂²×Dic₁₃

—

C₂²×Dic₁₃

—

C₂×Dic₂₆

—

C₂×Dic₂₆

—

C₂×Dic₂₆

—

C₂×Dic₂₆

Q₁₆

yes

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

Q₁₆

yes

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₄²×C₁₃

C₂×D₄

yes

—

C₄²×C₁₃

C₂×D₄

yes

—

C₄⋊Dic₁₃

—

#6101

—

C₄×Dic₁₃

—

C₄×Dic₁₃

—

—

—

—

—

—

D₁₃

yes

—

—

—

—

C₂³×C₁₃

#121

yes

characteristic

Q₈×C₁₃

—

Q₈×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

#120

yes

characteristic

C₂×C₄×C₁₃

#120

yes

—

C₂×C₄×C₁₃

#121

yes

—

C₂×C₄×C₁₃

#127

yes

characteristic

C₂×C₄×C₁₃

C₂×Q₁₆

yes

characteristic

C₂×C₄×C₁₃

C₂×Q₁₆

yes

—

C₂×C₄×C₁₃

#135

yes

characteristic

C₂×C₄×C₁₃

#137

yes

—

C₂×C₄×C₁₃

#137

yes

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

100

Dic₂₆

—

101

Dic₂₆

—

102

C₈×C₁₃

—

103

#1055

—

104

#1055

—

105

C₂×C₄⋊Q₈

C₂×D₁₃

yes

—

106

C₂×C₄×Q₈

—

107

#500

—

108

#477

—

109

#477

—

110

C₂×#107

—

111

C₂×#107

—

112

C₂×C₄⋊C₈

—

113

C₂×C₄⋊C₈

—

114

C₂×#103

—

115

C₂×C₄×C₈

C₂×D₁₃

yes

characteristic

116

#336

—

117

#333

—

118

C₂²×C₁₃

#392

yes

characteristic

119

C₂²×C₁₃

#462

yes

—

120

C₂²×C₁₃

#467

yes

characteristic

121

C₂²×C₁₃

#470

yes

characteristic

122

C₂²×C₁₃

#472

yes

—

123

C₄×C₁₃

—

124

C₄×C₁₃

—

125

C₄×C₁₃

#451

yes

—

126

C₄×C₁₃

#451

yes

—

127

C₄×C₁₃

#452

yes

—

128

C₄×C₁₃

#494

yes

characteristic

129

C₄×C₁₃

#497

yes

characteristic

130

Dic₁₃

—

131

Dic₁₃

—

132

C₂²×Q₈

—

133

C₂²×Q₈

—

134

C₂²×C₈

—

135

C₂²×C₈

—

136

C₂²×C₈

C₂²⋊D₁₃

yes

—

137

C₄⋊Q₈

—

138

C₄⋊Q₈

—

139

C₄⋊Q₈

—

140

C₄⋊Q₈

C₂²⋊D₁₃

yes

—

141

C₄×Q₈

—

142

C₄×Q₈

—

143

C₂×C₄⋊C₄

—

144

C₂×C₄⋊C₄

—

145

C₂×C₄⋊C₄

—

146

C₂×C₄⋊C₄

—

147

C₂×C₄²

—

148

C₂×C₄²

C₂²×D₁₃

yes

characteristic

149

#107

—

150

#107

—

151

C₄⋊C₈

—

152

C₄⋊C₈

—

153

C₄⋊C₈

—

154

#103

—

155

C₄×C₈

—

156

C₂×C₁₃

#1676

yes

—

157

C₂×C₁₃

#1696

yes

—

158

C₂×C₁₃

#2001

yes

characteristic

159

C₂×C₁₃

#2016

yes

characteristic

160

C₂×C₁₃

#2018

yes

characteristic

161

C₂×Q₈

—

162

C₂×Q₈

—

163

C₂×Q₈

—

164

C₂×Q₈

—

165

C₂×Q₈

—

166

C₂×Q₈

—

167

C₂×Q₈

—

168

C₂²×C₄

—

169

C₂²×C₄

—

170

C₂²×C₄

—

171

C₂²×C₄

D₄×D₁₃

yes

characteristic

172

C₂²×C₄

#6129

yes

characteristic

173

C₂²×C₄

C₂×C₂²⋊D₁₃

yes

characteristic

174

C₂×C₈

—

175

C₂×C₈

—

176

C₂×C₈

—

177

C₂×C₈

—

178

C₂×C₈

—

179

C₂×C₈

—

180

C₂×C₈

—

181

C₂×C₈

#6107

yes

—

182

C₄⋊C₄

—

183

C₄⋊C₄

—

184

C₄⋊C₄

—

185

C₄⋊C₄

—

186

C₄⋊C₄

—

187

C₄⋊C₄

—

188

C₄²

—

189

C₄²

—

190

C₄²

D₄×D₁₃

yes

—

191

C₄²

C₂×C₂²⋊D₁₃

yes

—

192

C₁₃

#10279

yes

characteristic, complemented, Sylow

193

C₂³

#88192

yes

characteristic

194

Q₈

—

195

Q₈

—

196

Q₈

—

197

Q₈

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

Q₁₆×D₁₃

yes

characteristic

207

C₂×C₄

#88172

yes

—

208

C₂×C₄

#88173

yes

characteristic

209

C₂×C₄

#88191

yes

—

210

C₂×C₄

#88193

yes

—

211

C₂×C₄

#88194

yes

characteristic

212

C₂×C₄

#88196

yes

—

213

C₂×C₄

C₂×#6107

yes

—

214

C₂×C₄

#88207

yes

characteristic

215

C₈

—

216

C₈

—

217

C₈

—

104

—

218

C₂²

#11718751

yes

—

219

C₂²

#11718821

yes

—

220

C₂²

#11718849

yes

characteristic

221

C₂²

#11718850

yes

characteristic

222

C₂²

#11718884

yes

characteristic

223

C₄

—

224

C₄

—

225

C₄

—

226

C₄

—

104

—

227

C₄

#11718747

yes

characteristic

228

C₄

#11718753

yes

characteristic

229

C₄

#11718847

yes

—

230

C₄

#11718848

yes

—

231

C₄

#11718889

yes

—

232

C₂

#13114237

yes

—

233

C₂

#13114361

yes

—

234

C₂

#13115843

yes

characteristic

235

C₂

#13115936

yes

characteristic

236

C₂

#13115943

yes

characteristic

	subgroup	G/H
center	C₂³	#88192
commutator, cosocle	C₂×C₄²×C₁₃	C₂³
Frattini	C₂×C₄²	C₂²×D₁₃
Fitting	C₂×C₁₃×#500	C₂
socle, prime radical	C₂³×C₁₃	#121
hypercenter	C₂×#500	D₁₃
hypocenter	C₁₃	#10279
LCS	G ▷ C₂×C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#500

subgroup

G/H

center

C₂³

#88192

commutator, cosocle

C₂×C₄²×C₁₃

C₂³

Frattini

C₂×C₄²

C₂²×D₁₃

Fitting

C₂×C₁₃×#500

C₂

C₂³×C₁₃

D₁₃

C₁₃

G ▷ C₂×C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#500

N	H ≅ G/N	type
192. C₁₃	#10279	semidirect

H ≅ G/N

type

192. C₁₃

#10279

semidirect

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

subgroup	index
C₂×#11718752	2
#13115772	2
C₂×#11718138	2
#13112671	2
C₂×C₁₃×#500	2
#10279	13

subgroup

index

C₂×C₁₃×#500

Subgroups — #15765542

Conjugacy classes of subgroups

Complements

Maximal subgroups