Group #15767660 — subgroups

Subgroups — #15767660

Order 3328.

402 conjugacy classes of subgroups; only the 119 normal subgroups are shown.

normal subgroups only

This group has 402 conjugacy classes of subgroups — too many to draw. Only its 119 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	#13115630	C₂	1	1	yes	maximal, characteristic
2	#13114964	C₂	1	1	yes	maximal, characteristic, complemented
3	#13114837	C₂	1	2	yes	maximal
4	#13112720	C₂	1	2	yes	maximal, complemented
5	C₁₃×#1277	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
7	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
8	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
9	C₂×#88061	—	2	2	no	—
10	C₂×#88060	—	2	2	no	—
11	#11718596	C₂²	1	2	yes	—
12	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
13	#11718143	—	2	2	no	—
14	#11718143	—	2	2	no	—
15	C₂²×D₅₂	D₄	1	1	yes	characteristic
16	C₂²×C₄×D₁₃	—	2	1	no	—
17	C₂²×C₈×C₁₃	—	2	2	no	—
18	C₂²×C₈×C₁₃	D₄	1	2	yes	—
19	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
20	C₂×#6103	—	2	1	no	—
21	C₂×C₄⋊Dic₁₃	—	2	2	no	—
22	C₂×C₄⋊Dic₁₃	—	2	2	no	—
23	C₂×C₄⋊Dic₁₃	—	2	2	no	—
24	C₂×C₄⋊Dic₁₃	D₄	1	1	yes	characteristic
25	C₂²×#1055	—	2	1	no	—
26	C₄×D₅₂	—	2	2	no	—
27	C₄×D₅₂	—	2	2	no	—
28	C₁₃×C₄⋊C₈	—	2	2	no	—
29	C₁₃×C₄⋊C₈	—	2	2	no	—
30	C₄×C₈×C₁₃	—	2	2	no	—
31	#88061	—	4	4	no	—
32	#88060	—	4	4	no	—
33	C₄⋊#1055	—	2	2	no	—
34	#10622	—	13	1	no	maximal, Sylow
35	C₂³×D₁₃	—	2	1	no	—
36	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
37	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
38	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
39	C₂²×Dic₁₃	—	2	1	no	—
40	C₂²×Dic₁₃	—	4	2	no	—
41	C₂×D₅₂	—	2	2	no	—
42	C₂×D₅₂	—	2	2	no	—
43	C₂×D₅₂	—	2	1	no	—
44	C₂×D₅₂	Q₁₆	1	2	yes	—
45	C₂×C₄×D₁₃	—	4	1	no	—
46	C₂×C₄×D₁₃	—	4	1	no	—
47	C₂×C₄×D₁₃	—	4	2	no	—
48	C₂×C₄×D₁₃	—	4	2	no	—
49	C₂×C₈×C₁₃	—	2	2	no	—
50	C₂×C₈×C₁₃	—	2	2	no	—
51	C₂×C₈×C₁₃	—	2	2	no	—
52	C₂×C₈×C₁₃	—	4	2	no	—
53	C₂×C₈×C₁₃	—	4	2	no	—
54	C₂×C₈×C₁₃	—	4	2	no	—
55	C₄²×C₁₃	#41	1	2	yes	—
56	C₄²×C₁₃	#41	1	2	yes	—
57	#6103	—	4	2	no	—
58	C₄⋊Dic₁₃	—	2	2	no	—
59	C₄⋊Dic₁₃	—	4	2	no	—
60	C₄⋊Dic₁₃	—	4	2	no	—
61	C₄⋊Dic₁₃	—	4	2	no	—
62	C₄⋊Dic₁₃	—	4	2	no	—
63	C₄⋊Dic₁₃	—	8	2	no	—
64	C₂×#1055	—	4	1	no	—
65	C₂×#1055	—	4	2	no	—
66	#1954	—	13	1	no	—
67	#1834	—	13	1	no	—
68	#1802	—	13	2	no	—
69	#1296	—	13	2	no	—
70	#1277	D₁₃	1	1	yes	characteristic, complemented
71	C₂³×C₁₃	#121	1	1	yes	characteristic
72	C₂²×D₁₃	—	2	2	no	—
73	C₂²×D₁₃	—	4	1	no	—
74	C₂²×D₁₃	—	4	2	no	—
75	C₂²×D₁₃	—	4	1	no	—
76	C₂²×D₁₃	—	4	2	no	—
77	C₂×C₄×C₁₃	—	2	2	no	—
78	C₂×C₄×C₁₃	#123	1	1	yes	characteristic
79	C₂×C₄×C₁₃	#123	1	2	yes	—
80	C₂×C₄×C₁₃	#124	1	1	yes	characteristic
81	C₂×C₄×C₁₃	#126	1	2	yes	—
82	C₂×C₄×C₁₃	C₂×Q₁₆	1	1	yes	characteristic
83	C₂×C₄×C₁₃	#135	1	1	yes	characteristic
84	C₂×C₄×C₁₃	#135	1	2	yes	—
85	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
86	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
87	C₂×Dic₁₃	—	4	1	no	—
88	C₂×Dic₁₃	—	4	2	no	—
89	C₂×Dic₁₃	—	8	2	no	—
90	C₂×Dic₁₃	—	8	2	no	—
91	C₂×Dic₁₃	—	8	2	no	—
92	D₅₂	—	2	4	no	—
93	D₅₂	—	4	2	no	—
94	C₄×D₁₃	—	8	2	no	—
95	C₄×D₁₃	—	8	1	no	—
96	C₄×D₁₃	—	8	1	no	—
97	C₈×C₁₃	—	4	2	no	—
98	C₈×C₁₃	—	8	2	no	—
99	#1055	—	8	1	no	—
100	C₂×C₄×D₄	—	13	1	no	—
101	C₂×C₄⋊C₈	—	13	1	no	—
102	C₂×C₄⋊C₈	C₂×D₁₃	1	2	yes	—
103	C₂×#102	—	26	2	no	—
104	C₂×C₂²⋊C₈	—	26	2	no	—
105	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
106	#384	—	13	2	no	—
107	#340	—	26	2	no	—
108	#340	—	26	2	no	—
109	C₂²×C₁₃	#397	1	1	yes	characteristic
110	C₂²×C₁₃	#463	1	2	yes	—
111	C₂²×C₁₃	#467	1	1	yes	characteristic
112	C₂²×C₁₃	#469	1	1	yes	characteristic
113	C₂²×C₁₃	#471	1	2	yes	—
114	C₂×D₁₃	—	4	2	no	—
115	C₂×D₁₃	—	4	4	no	—
116	C₂×D₁₃	—	8	1	no	—
117	C₂×D₁₃	—	8	1	no	—
118	C₂×D₁₃	—	8	2	no	—
119	C₄×C₁₃	—	2	2	no	—
120	C₄×C₁₃	#482	1	2	yes	—
121	C₄×C₁₃	#482	1	2	yes	—
122	C₄×C₁₃	#484	1	2	yes	—
123	C₄×C₁₃	#488	1	1	yes	characteristic
124	C₄×C₁₃	#490	1	1	yes	characteristic
125	Dic₁₃	—	8	1	no	—
126	Dic₁₃	—	16	2	no	—
127	C₂²×D₄	—	13	1	no	—
128	C₂³×C₄	—	26	1	no	—
129	C₂²×C₈	—	2	2	no	—
130	C₂²×C₈	—	26	1	no	—
131	C₂²×C₈	D₅₂	1	2	yes	—
132	C₄×D₄	—	26	2	no	—
133	C₄×D₄	—	26	2	no	—
134	C₂×C₄⋊C₄	—	13	1	no	—
135	C₂×C₄⋊C₄	—	26	2	no	—
136	C₂×C₄⋊C₄	—	26	2	no	—
137	C₂×C₄⋊C₄	—	26	2	no	—
138	C₂×C₂²⋊C₄	—	26	1	no	—
139	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
140	C₄⋊C₈	—	2	2	no	—
141	C₄⋊C₈	—	2	2	no	—
142	C₄⋊C₈	—	26	2	no	—
143	#102	—	52	4	no	—
144	C₂²⋊C₈	—	52	4	no	—
145	C₄×C₈	—	2	2	no	—
146	C₂×C₁₃	#1683	1	2	yes	—
147	C₂×C₁₃	#1701	1	2	yes	—
148	C₂×C₁₃	#2073	1	1	yes	characteristic
149	C₂×C₁₃	#2076	1	1	yes	characteristic
150	C₂×C₁₃	#2079	1	1	yes	characteristic
151	D₁₃	—	8	2	no	—
152	C₂⁴	—	26	1	no	—
153	C₂×D₄	—	13	2	no	—
154	C₂×D₄	—	26	2	no	—
155	C₂×D₄	—	26	1	no	—
156	C₂×D₄	—	26	2	no	—
157	C₂²×C₄	—	26	1	no	—
158	C₂²×C₄	—	52	1	no	—
159	C₂²×C₄	—	52	1	no	—
160	C₂²×C₄	—	52	2	no	—
161	C₂²×C₄	—	52	2	no	—
162	C₂²×C₄	—	52	2	no	—
163	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
164	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
165	C₂²×C₄	#6131	1	1	yes	characteristic
166	C₂×C₈	—	2	2	no	—
167	C₂×C₈	—	2	2	no	—
168	C₂×C₈	—	2	2	no	—
169	C₂×C₈	—	4	2	no	—
170	C₂×C₈	—	4	2	no	—
171	C₂×C₈	—	4	2	no	—
172	C₂×C₈	—	52	1	no	—
173	C₂×C₈	—	52	2	no	—
174	C₄⋊C₄	—	26	2	no	—
175	C₄⋊C₄	—	52	2	no	—
176	C₄⋊C₄	—	52	2	no	—
177	C₄⋊C₄	—	52	2	no	—
178	C₄⋊C₄	—	52	2	no	—
179	C₄⋊C₄	—	104	2	no	—
180	C₂²⋊C₄	—	52	2	no	—
181	C₄²	#6127	1	2	yes	—
182	C₄²	#6129	1	2	yes	—
183	C₁₃	#10622	1	1	yes	characteristic, complemented, Sylow
184	C₂³	—	26	2	no	—
185	C₂³	—	52	2	no	—
186	C₂³	—	52	1	no	—
187	C₂³	—	52	2	no	—
188	C₂³	—	52	1	no	—
189	C₂³	#88149	1	1	yes	characteristic
190	D₄	—	26	4	no	—
191	D₄	—	52	2	no	—
192	C₂×C₄	—	2	2	no	—
193	C₂×C₄	—	52	2	no	—
194	C₂×C₄	—	52	1	no	—
195	C₂×C₄	—	104	1	no	—
196	C₂×C₄	—	104	1	no	—
197	C₂×C₄	—	104	2	no	—
198	C₂×C₄	—	104	2	no	—
199	C₂×C₄	—	104	2	no	—
200	C₂×C₄	—	104	2	no	—
201	C₂×C₄	#88129	1	1	yes	characteristic
202	C₂×C₄	#88137	1	2	yes	—
203	C₂×C₄	#88140	1	1	yes	characteristic
204	C₂×C₄	#88152	1	2	yes	—
205	C₂×C₄	#88158	1	2	yes	—
206	C₂×C₄	#88162	1	2	yes	—
207	C₂×C₄	#88166	1	1	yes	characteristic
208	C₂×C₄	#88168	1	2	yes	—
209	C₂×C₄	Q₁₆×D₁₃	1	1	yes	characteristic
210	C₈	—	4	2	no	—
211	C₈	—	8	2	no	—
212	C₈	—	104	1	no	—
213	C₂²	—	52	2	no	—
214	C₂²	—	52	4	no	—
215	C₂²	—	104	2	no	—
216	C₂²	—	104	1	no	—
217	C₂²	—	104	1	no	—
218	C₂²	#11718335	1	1	yes	characteristic
219	C₂²	#11718505	1	2	yes	—
220	C₂²	#11718526	1	1	yes	characteristic
221	C₂²	#11718548	1	1	yes	characteristic
222	C₂²	#11718559	1	2	yes	—
223	C₄	—	2	2	no	—
224	C₄	—	104	1	no	—
225	C₄	—	208	2	no	—
226	C₄	#11718358	1	1	yes	characteristic
227	C₄	#11718374	1	1	yes	characteristic
228	C₄	#11718398	1	2	yes	—
229	C₄	#11718445	1	2	yes	—
230	C₄	#11718470	1	2	yes	—
231	C₂	—	104	2	no	—
232	C₂	#13114288	1	2	yes	—
233	C₂	#13114398	1	2	yes	—
234	C₂	#13116251	1	1	yes	characteristic
235	C₂	#13116266	1	1	yes	characteristic
236	C₂	#13116283	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#13115630

C₂

yes

maximal, characteristic

#13114964

C₂

yes

maximal, characteristic, complemented

#13114837

C₂

yes

maximal

#13112720

C₂

yes

maximal, complemented

C₁₃×#1277

C₂

yes

maximal, characteristic, complemented

C₂×C₄×D₅₂

C₂²

yes

characteristic

C₂×C₁₃×C₄⋊C₈

C₂²

yes

—

C₂×C₄×C₈×C₁₃

C₂²

yes

—

—

C₂²

yes

—

C₂×C₄⋊#1055

C₂²

yes

characteristic

#11718143

—

#11718143

—

C₂²×D₅₂

D₄

yes

characteristic

C₂²×C₄×D₁₃

—

C₂²×C₈×C₁₃

—

C₂²×C₈×C₁₃

D₄

yes

—

C₂×C₄²×C₁₃

C₂³

yes

characteristic

C₂×#6103

—

C₂×C₄⋊Dic₁₃

—

C₂×C₄⋊Dic₁₃

—

C₂×C₄⋊Dic₁₃

—

C₂×C₄⋊Dic₁₃

D₄

yes

characteristic

C₂²×#1055

—

C₄×D₅₂

—

C₄×D₅₂

—

C₁₃×C₄⋊C₈

—

C₁₃×C₄⋊C₈

—

C₄×C₈×C₁₃

—

—

—

—

—

C₂³×D₁₃

—

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×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

Q₁₆

yes

—

C₂×C₄×D₁₃

—

C₂×C₄×D₁₃

—

C₂×C₄×D₁₃

—

C₂×C₄×D₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₄²×C₁₃

#41

yes

—

C₄²×C₁₃

#41

yes

—

#6103

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

—

—

—

—

—

—

D₁₃

yes

characteristic, complemented

C₂³×C₁₃

#121

yes

characteristic

C₂²×D₁₃

—

C₂²×D₁₃

—

C₂²×D₁₃

—

C₂²×D₁₃

—

C₂²×D₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

#123

yes

characteristic

C₂×C₄×C₁₃

#123

yes

—

C₂×C₄×C₁₃

#124

yes

characteristic

C₂×C₄×C₁₃

#126

yes

—

C₂×C₄×C₁₃

C₂×Q₁₆

yes

C₂×C₄×C₁₃

yes

C₂×C₄×C₁₃

yes

—

C₂×C₄×C₁₃

AGL(1,ℤ/8)

yes

—

C₂×C₄×C₁₃

AGL(1,ℤ/8)

yes

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

D₅₂

—

D₅₂

—

C₄×D₁₃

—

C₄×D₁₃

—

C₄×D₁₃

—

C₈×C₁₃

—

C₈×C₁₃

—

#1055

—

100

C₂×C₄×D₄

—

101

C₂×C₄⋊C₈

—

102

C₂×C₄⋊C₈

C₂×D₁₃

yes

—

103

C₂×#102

—

104

C₂×C₂²⋊C₈

—

105

C₂×C₄×C₈

C₂×D₁₃

yes

characteristic

106

#384

—

107

#340

—

108

#340

—

109

C₂²×C₁₃

#397

yes

characteristic

110

C₂²×C₁₃

#463

yes

—

111

C₂²×C₁₃

#467

yes

characteristic

112

C₂²×C₁₃

#469

yes

characteristic

113

C₂²×C₁₃

#471

yes

—

114

C₂×D₁₃

—

115

C₂×D₁₃

—

116

C₂×D₁₃

—

117

C₂×D₁₃

—

118

C₂×D₁₃

—

119

C₄×C₁₃

—

120

C₄×C₁₃

#482

yes

—

121

C₄×C₁₃

#482

yes

—

122

C₄×C₁₃

#484

yes

—

123

C₄×C₁₃

#488

yes

characteristic

124

C₄×C₁₃

#490

yes

characteristic

125

Dic₁₃

—

126

Dic₁₃

—

127

C₂²×D₄

—

128

C₂³×C₄

—

129

C₂²×C₈

—

130

C₂²×C₈

—

131

C₂²×C₈

D₅₂

yes

—

132

C₄×D₄

—

133

C₄×D₄

—

134

C₂×C₄⋊C₄

—

135

C₂×C₄⋊C₄

—

136

C₂×C₄⋊C₄

—

137

C₂×C₄⋊C₄

—

138

C₂×C₂²⋊C₄

—

139

C₂×C₄²

C₂²×D₁₃

yes

characteristic

140

C₄⋊C₈

—

141

C₄⋊C₈

—

142

C₄⋊C₈

—

143

#102

—

144

C₂²⋊C₈

—

145

C₄×C₈

—

146

C₂×C₁₃

#1683

yes

—

147

C₂×C₁₃

#1701

yes

—

148

C₂×C₁₃

#2073

yes

characteristic

149

C₂×C₁₃

#2076

yes

characteristic

150

C₂×C₁₃

#2079

yes

characteristic

151

D₁₃

—

152

C₂⁴

—

153

C₂×D₄

—

154

C₂×D₄

—

155

C₂×D₄

—

156

C₂×D₄

—

157

C₂²×C₄

—

158

C₂²×C₄

—

159

C₂²×C₄

—

160

C₂²×C₄

—

161

C₂²×C₄

—

162

C₂²×C₄

—

163

C₂²×C₄

C₂×D₅₂

yes

characteristic

164

C₂²×C₄

D₄×D₁₃

yes

characteristic

165

C₂²×C₄

#6131

yes

characteristic

166

C₂×C₈

—

167

C₂×C₈

—

168

C₂×C₈

—

169

C₂×C₈

—

170

C₂×C₈

—

171

C₂×C₈

—

172

C₂×C₈

—

173

C₂×C₈

—

174

C₄⋊C₄

—

175

C₄⋊C₄

—

176

C₄⋊C₄

—

177

C₄⋊C₄

—

178

C₄⋊C₄

—

179

C₄⋊C₄

—

104

—

180

C₂²⋊C₄

—

181

C₄²

#6127

yes

—

182

C₄²

#6129

yes

—

183

C₁₃

#10622

yes

characteristic, complemented, Sylow

184

C₂³

—

185

C₂³

—

186

C₂³

—

187

C₂³

—

188

C₂³

—

189

C₂³

#88149

yes

characteristic

190

D₄

—

191

D₄

—

192

C₂×C₄

—

193

C₂×C₄

—

194

C₂×C₄

—

195

C₂×C₄

—

104

—

196

C₂×C₄

—

104

—

197

C₂×C₄

—

104

—

198

C₂×C₄

—

104

—

199

C₂×C₄

—

104

—

200

C₂×C₄

—

104

—

201

C₂×C₄

#88129

yes

characteristic

202

C₂×C₄

#88137

yes

—

203

C₂×C₄

#88140

yes

characteristic

204

C₂×C₄

#88152

yes

—

205

C₂×C₄

#88158

yes

—

206

C₂×C₄

#88162

yes

—

207

C₂×C₄

#88166

yes

characteristic

208

C₂×C₄

#88168

yes

—

209

C₂×C₄

Q₁₆×D₁₃

yes

characteristic

210

C₈

—

211

C₈

—

212

C₈

—

104

—

213

C₂²

—

214

C₂²

—

215

C₂²

—

104

—

216

C₂²

—

104

—

217

C₂²

—

104

—

218

C₂²

#11718335

yes

characteristic

219

C₂²

#11718505

yes

—

220

C₂²

#11718526

yes

characteristic

221

C₂²

#11718548

yes

characteristic

222

C₂²

#11718559

yes

—

223

C₄

—

224

C₄

—

104

—

225

C₄

—

208

—

226

C₄

#11718358

yes

characteristic

227

C₄

#11718374

yes

characteristic

228

C₄

#11718398

yes

—

229

C₄

#11718445

yes

—

230

C₄

#11718470

yes

—

231

C₂

—

104

—

232

C₂

#13114288

yes

—

233

C₂

#13114398

yes

—

234

C₂

#13116251

yes

characteristic

235

C₂

#13116266

yes

characteristic

236

C₂

#13116283

yes

characteristic

	subgroup	G/H
center	C₂³	#88149
commutator, cosocle	C₂×C₄²×C₁₃	C₂³
Frattini	C₂×C₄²	C₂²×D₁₃
Fitting	C₁₃×#1277	C₂
socle	C₂³×C₁₃	#121
prime radical	C₂²×D₅₂	D₄
hypercenter	#1277	D₁₃
hypocenter	C₁₃	#10622
LCS	G ▷ C₂×C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1277

subgroup

G/H

center

C₂³

#88149

commutator, cosocle

C₂×C₄²×C₁₃

C₂³

Frattini

C₂×C₄²

C₂²×D₁₃

Fitting

C₁₃×#1277

C₂

socle

C₂³×C₁₃

#121

prime radical

C₂²×D₅₂

D₄

D₁₃

C₁₃

G ▷ C₂×C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1277

N	H ≅ G/N	type
2. #13114964	C₂	semidirect
4. #13112720	C₂	semidirect
5. C₁₃×#1277	C₂	semidirect
70. #1277	D₁₃	semidirect
183. C₁₃	#10622	semidirect

H ≅ G/N

type

2. #13114964

C₂

semidirect

4. #13112720

C₂

semidirect

5. C₁₃×#1277

C₂

semidirect

70. #1277

D₁₃

semidirect

183. C₁₃

#10622

semidirect

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

subgroup	index
#13115630	2
#13114964	2
#13114837	2
#13112720	2
C₁₃×#1277	2
#10622	13

subgroup

index

C₁₃×#1277

Subgroups — #15767660

Conjugacy classes of subgroups

Complements

Maximal subgroups