Group #18069308 — subgroups

Subgroups — #18069308

Order 4864.

254 conjugacy classes of subgroups; only the 87 normal subgroups are shown.

normal subgroups only

This group has 254 conjugacy classes of subgroups — too many to draw. Only its 87 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	#14564496	C₂	1	1	yes	maximal, characteristic
2	#14561713	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#1277	C₂	1	1	yes	maximal, characteristic
4	C₂²×Dic₇₆	C₄	1	1	yes	characteristic
5	C₂²×C₁₉⋊C₁₆	—	2	1	no	—
6	C₂×#10597275	C₄	1	1	yes	characteristic
7	C₂×#10597273	—	2	1	no	—
8	#11926450	—	2	1	no	—
9	C₂×C₁₉×C₄⋊C₈	—	2	1	no	—
10	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
11	C₂²×Dic₃₈	—	2	1	no	—
12	C₂²×C₈×C₁₉	—	4	1	no	—
13	C₂²×C₈×C₁₉	C₂×C₄	1	1	yes	characteristic
14	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
15	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
16	C₂×C₄⋊Dic₁₉	—	2	1	no	—
17	C₂×Dic₇₆	—	2	1	no	—
18	C₂×Dic₇₆	—	4	1	no	—
19	C₂×Dic₇₆	—	4	1	no	—
20	C₂×Dic₇₆	C₈	1	2	yes	complemented
21	C₁₉×C₄⋊C₈	—	2	2	no	—
22	C₁₉×C₄⋊C₈	—	4	1	no	—
23	C₄×C₈×C₁₉	—	4	1	no	—
24	C₁₉⋊#95	—	4	1	no	—
25	C₁₉⋊#95	—	4	1	no	—
26	#10597275	—	4	1	no	—
27	#10597273	—	4	1	no	—
28	#10597273	—	4	1	no	—
29	C₂×C₁₉⋊C₁₆	—	2	2	no	—
30	C₂×C₁₉⋊C₁₆	—	4	1	no	—
31	C₂×C₁₉⋊C₁₆	—	4	1	no	—
32	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
33	C₂²×C₄×C₁₉	D₈	1	1	yes	characteristic
34	C₂²×C₄×C₁₉	SD₁₆	1	1	yes	characteristic
35	C₂²×Dic₁₉	—	4	1	no	—
36	C₂²×Dic₁₉	—	4	1	no	—
37	C₂×Dic₃₈	—	2	2	no	—
38	C₂×Dic₃₈	—	4	1	no	—
39	C₂×Dic₃₈	—	4	1	no	—
40	C₂×Dic₃₈	—	4	1	no	—
41	C₂×Dic₃₈	—	4	1	no	—
42	C₂×Dic₃₈	—	4	1	no	—
43	C₂×C₈×C₁₉	—	2	1	no	—
44	C₂×C₈×C₁₉	—	2	1	no	—
45	C₂×C₈×C₁₉	—	2	1	no	—
46	C₂×C₈×C₁₉	—	2	1	no	—
47	C₂×C₈×C₁₉	—	4	2	no	—
48	C₂×C₈×C₁₉	—	8	1	no	—
49	C₂×C₈×C₁₉	—	8	1	no	—
50	C₂×C₈×C₁₉	C₂×C₈	1	1	yes	characteristic
51	C₂×C₈×C₁₉	M₁₆	1	1	yes	characteristic
52	C₂×C₈×C₁₉	D₈	1	1	yes	characteristic
53	C₂×C₈×C₁₉	SD₁₆	1	1	yes	characteristic
54	C₄²×C₁₉	—	2	1	no	—
55	C₄²×C₁₉	—	2	1	no	—
56	C₄⋊Dic₁₉	—	4	1	no	—
57	C₄⋊Dic₁₉	—	4	1	no	—
58	Dic₇₆	—	4	2	no	—
59	Dic₇₆	—	4	2	no	—
60	C₁₉⋊C₁₆	—	4	2	no	—
61	#7113	—	19	1	no	maximal, Sylow
62	C₂³×C₁₉	#102	1	1	yes	characteristic
63	C₂×C₄×C₁₉	—	2	1	no	—
64	C₂×C₄×C₁₉	—	2	1	no	—
65	C₂×C₄×C₁₉	—	2	1	no	—
66	C₂×C₄×C₁₉	—	2	1	no	—
67	C₂×C₄×C₁₉	—	2	1	no	—
68	C₂×C₄×C₁₉	C₂²⋊C₈	1	1	yes	characteristic
69	C₂×C₄×C₁₉	#99	1	1	yes	characteristic
70	C₂×C₄×C₁₉	#100	1	1	yes	characteristic
71	C₂×C₄×C₁₉	#102	1	1	yes	characteristic
72	C₂×C₄×C₁₉	#104	1	1	yes	characteristic
73	C₂×C₄×C₁₉	#104	1	1	yes	characteristic
74	C₂×C₄×C₁₉	SD₃₂	1	1	yes	characteristic
75	C₂×C₄×C₁₉	Q₃₂	1	1	yes	characteristic
76	C₂×Dic₁₉	—	4	2	no	—
77	C₂×Dic₁₉	—	8	1	no	—
78	C₂×Dic₁₉	—	8	1	no	—
79	C₂×Dic₁₉	—	8	1	no	—
80	C₂×Dic₁₉	—	8	1	no	—
81	C₂×Dic₁₉	—	8	1	no	—
82	Dic₃₈	—	4	2	no	—
83	Dic₃₈	—	4	2	no	—
84	Dic₃₈	—	8	1	no	—
85	Dic₃₈	—	8	1	no	—
86	C₈×C₁₉	—	2	1	no	—
87	C₈×C₁₉	—	2	1	no	—
88	C₈×C₁₉	—	2	1	no	—
89	C₈×C₁₉	—	2	1	no	—
90	C₈×C₁₉	—	8	2	no	—
91	#1969	—	19	1	no	—
92	#1374	—	19	1	no	—
93	#1277	D₁₉	1	1	yes	characteristic
94	C₂²×C₁₉	D₄⋊C₈	1	1	yes	characteristic
95	C₂²×C₁₉	#327	1	1	yes	characteristic
96	C₂²×C₁₉	#331	1	1	yes	characteristic
97	C₂²×C₁₉	#358	1	1	yes	characteristic
98	C₂²×C₁₉	#359	1	1	yes	characteristic
99	C₂²×C₁₉	#360	1	1	yes	characteristic
100	C₂²×C₁₉	#362	1	1	yes	characteristic
101	C₄×C₁₉	—	2	1	no	—
102	C₄×C₁₉	—	2	1	no	—
103	C₄×C₁₉	—	4	1	no	—
104	C₄×C₁₉	#323	1	1	yes	characteristic
105	C₄×C₁₉	D₄⋊C₈	1	1	yes	characteristic
106	C₄×C₁₉	#327	1	1	yes	characteristic
107	C₄×C₁₉	#329	1	1	yes	characteristic
108	Dic₁₉	—	8	2	no	—
109	Dic₁₉	—	16	1	no	—
110	C₂²×Q₁₆	—	19	1	no	—
111	C₂²×C₁₆	—	38	1	no	—
112	C₂×#107	—	19	1	no	—
113	C₂×C₄⋊C₈	—	2	1	no	—
114	C₂×#103	—	38	1	no	—
115	C₂×C₄×C₈	C₂×D₁₉	1	1	yes	characteristic
116	#391	—	38	1	no	—
117	C₂×C₁₉	#1270	1	1	yes	characteristic
118	C₂×C₁₉	#1332	1	1	yes	characteristic
119	C₂×C₁₉	#1334	1	1	yes	characteristic
120	C₂×C₁₉	#1348	1	1	yes	characteristic
121	C₂×C₁₉	#1350	1	1	yes	characteristic
122	C₂×C₁₉	#1360	1	1	yes	characteristic
123	C₂×C₁₉	#1362	1	1	yes	characteristic
124	C₂²×Q₈	—	38	1	no	—
125	C₂×Q₁₆	—	19	2	no	—
126	C₂×Q₁₆	—	38	1	no	—
127	C₂×Q₁₆	—	76	1	no	—
128	C₂×Q₁₆	—	76	1	no	—
129	C₂²×C₈	—	4	1	no	—
130	C₂²×C₈	C₄×D₁₉	1	1	yes	characteristic
131	C₂²×C₈	D₇₆	1	1	yes	characteristic
132	C₂×C₄⋊C₄	—	38	1	no	—
133	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
134	C₂×C₁₆	—	38	2	no	—
135	C₂×C₁₆	—	76	1	no	—
136	C₂×C₁₆	—	76	1	no	—
137	#107	—	76	1	no	—
138	C₄⋊C₈	—	2	2	no	—
139	C₄⋊C₈	—	4	1	no	—
140	#103	—	76	1	no	—
141	#103	—	76	1	no	—
142	C₄×C₈	—	4	1	no	—
143	#95	—	76	1	no	—
144	#95	—	76	1	no	—
145	C₁₉	#7113	1	1	yes	characteristic, complemented, Sylow
146	C₂×Q₈	—	38	2	no	—
147	C₂×Q₈	—	76	1	no	—
148	C₂×Q₈	—	76	1	no	—
149	C₂×Q₈	—	76	1	no	—
150	C₂×Q₈	—	76	1	no	—
151	C₂×Q₈	—	76	1	no	—
152	C₂²×C₄	—	76	1	no	—
153	C₂²×C₄	—	76	1	no	—
154	C₂²×C₄	(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
155	C₂²×C₄	#64525	1	1	yes	characteristic
156	C₂²×C₄	#64527	1	1	yes	characteristic
157	Q₁₆	—	76	2	no	—
158	Q₁₆	—	76	2	no	—
159	C₂×C₈	—	2	1	no	—
160	C₂×C₈	—	2	1	no	—
161	C₂×C₈	—	2	1	no	—
162	C₂×C₈	—	2	1	no	—
163	C₂×C₈	—	4	2	no	—
164	C₂×C₈	—	8	1	no	—
165	C₂×C₈	—	8	1	no	—
166	C₂×C₈	C₈×D₁₉	1	1	yes	characteristic
167	C₂×C₈	#64515	1	1	yes	characteristic
168	C₂×C₈	#64516	1	1	yes	characteristic
169	C₂×C₈	D₁₅₂	1	1	yes	characteristic
170	C₄⋊C₄	—	76	1	no	—
171	C₄⋊C₄	—	76	1	no	—
172	C₄²	—	2	1	no	—
173	C₄²	—	2	1	no	—
174	C₁₆	—	76	2	no	—
175	C₂³	#10597266	1	1	yes	characteristic
176	Q₈	—	76	2	no	—
177	Q₈	—	76	2	no	—
178	Q₈	—	152	1	no	—
179	Q₈	—	152	1	no	—
180	C₂×C₄	—	2	1	no	—
181	C₂×C₄	—	2	1	no	—
182	C₂×C₄	—	2	1	no	—
183	C₂×C₄	—	2	1	no	—
184	C₂×C₄	—	2	1	no	—
185	C₂×C₄	—	76	2	no	—
186	C₂×C₄	—	152	1	no	—
187	C₂×C₄	—	152	1	no	—
188	C₂×C₄	—	152	1	no	—
189	C₂×C₄	—	152	1	no	—
190	C₂×C₄	—	152	1	no	—
191	C₂×C₄	#10597262	1	1	yes	characteristic
192	C₂×C₄	#10597263	1	1	yes	characteristic
193	C₂×C₄	(C₂×D₁₉)⋊C₈	1	1	yes	characteristic
194	C₂×C₄	#10597278	1	1	yes	characteristic
195	C₂×C₄	#10597280	1	1	yes	characteristic
196	C₂×C₄	#10597282	1	1	yes	characteristic
197	C₂×C₄	#10597284	1	1	yes	characteristic
198	C₂×C₄	#10597286	1	1	yes	characteristic
199	C₈	—	2	1	no	—
200	C₈	—	2	1	no	—
201	C₈	—	2	1	no	—
202	C₈	—	2	1	no	—
203	C₈	—	8	2	no	—
204	C₂²	#11926271	1	1	yes	characteristic
205	C₂²	#11926277	1	1	yes	characteristic
206	C₂²	#11926287	1	1	yes	characteristic
207	C₂²	#11926347	1	1	yes	characteristic
208	C₂²	#11926350	1	1	yes	characteristic
209	C₂²	#11926353	1	1	yes	characteristic
210	C₂²	#11926359	1	1	yes	characteristic
211	C₄	—	2	1	no	—
212	C₄	—	2	1	no	—
213	C₄	—	4	1	no	—
214	C₄	—	304	1	no	—
215	C₄	—	152	2	no	—
216	C₄	#11926267	1	1	yes	characteristic
217	C₄	#11926273	1	1	yes	characteristic
218	C₄	#11926279	1	1	yes	characteristic
219	C₄	#11926283	1	1	yes	characteristic
220	C₂	#14561455	1	1	yes	characteristic
221	C₂	#14561598	1	1	yes	characteristic
222	C₂	#14561604	1	1	yes	characteristic
223	C₂	#14561646	1	1	yes	characteristic
224	C₂	#14561652	1	1	yes	characteristic
225	C₂	#14561677	1	1	yes	characteristic
226	C₂	#14561683	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14564496

C₂

yes

maximal, characteristic

#14561713

C₂

yes

maximal, characteristic

C₁₉×#1277

C₂

yes

maximal, characteristic

C₂²×Dic₇₆

C₄

yes

characteristic

C₂²×C₁₉⋊C₁₆

—

C₂×#10597275

C₄

yes

characteristic

C₂×#10597273

—

#11926450

—

C₂×C₁₉×C₄⋊C₈

—

C₂×C₄×C₈×C₁₉

C₂²

yes

characteristic

C₂²×Dic₃₈

—

C₂²×C₈×C₁₉

—

C₂²×C₈×C₁₉

C₂×C₄

yes

characteristic

C₂²×C₈×C₁₉

D₄

yes

characteristic

C₂×C₄²×C₁₉

D₄

yes

characteristic

C₂×C₄⋊Dic₁₉

—

C₂×Dic₇₆

—

C₂×Dic₇₆

—

C₂×Dic₇₆

—

C₂×Dic₇₆

C₈

yes

complemented

C₁₉×C₄⋊C₈

—

C₁₉×C₄⋊C₈

—

C₄×C₈×C₁₉

—

C₁₉⋊#95

—

C₁₉⋊#95

—

#10597275

—

#10597273

—

#10597273

—

C₂×C₁₉⋊C₁₆

—

C₂×C₁₉⋊C₁₆

—

C₂×C₁₉⋊C₁₆

—

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₁₉

D₈

yes

characteristic

C₂²×C₄×C₁₉

SD₁₆

yes

characteristic

C₂²×Dic₁₉

—

C₂²×Dic₁₉

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

C₂×C₈

yes

characteristic

C₂×C₈×C₁₉

M₁₆

yes

characteristic

C₂×C₈×C₁₉

D₈

yes

characteristic

C₂×C₈×C₁₉

SD₁₆

yes

characteristic

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

Dic₇₆

—

Dic₇₆

—

C₁₉⋊C₁₆

—

—

C₂³×C₁₉

yes

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

C₂²⋊C₈

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

SD₃₂

yes

characteristic

C₂×C₄×C₁₉

Q₃₂

yes

characteristic

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

Dic₃₈

—

Dic₃₈

—

Dic₃₈

—

Dic₃₈

—

C₈×C₁₉

—

C₈×C₁₉

—

C₈×C₁₉

—

C₈×C₁₉

—

C₈×C₁₉

—

#1969

—

#1374

—

#1277

D₁₉

yes

characteristic

C₂²×C₁₉

D₄⋊C₈

yes

C₂²×C₁₉

yes

C₂²×C₁₉

yes

C₂²×C₁₉

yes

C₂²×C₁₉

yes

C₂²×C₁₉

yes

100

C₂²×C₁₉

#362

yes

characteristic

101

C₄×C₁₉

—

102

C₄×C₁₉

—

103

C₄×C₁₉

—

104

C₄×C₁₉

#323

yes

characteristic

105

C₄×C₁₉

D₄⋊C₈

yes

characteristic

106

C₄×C₁₉

#327

yes

characteristic

107

C₄×C₁₉

#329

yes

characteristic

108

Dic₁₉

—

109

Dic₁₉

—

110

C₂²×Q₁₆

—

111

C₂²×C₁₆

—

112

C₂×#107

—

113

C₂×C₄⋊C₈

—

114

C₂×#103

—

115

C₂×C₄×C₈

C₂×D₁₉

yes

characteristic

116

#391

—

117

C₂×C₁₉

#1270

yes

characteristic

118

C₂×C₁₉

#1332

yes

characteristic

119

C₂×C₁₉

#1334

yes

characteristic

120

C₂×C₁₉

#1348

yes

characteristic

121

C₂×C₁₉

#1350

yes

characteristic

122

C₂×C₁₉

#1360

yes

characteristic

123

C₂×C₁₉

#1362

yes

characteristic

124

C₂²×Q₈

—

125

C₂×Q₁₆

—

126

C₂×Q₁₆

—

127

C₂×Q₁₆

—

128

C₂×Q₁₆

—

129

C₂²×C₈

—

130

C₂²×C₈

C₄×D₁₉

yes

characteristic

131

C₂²×C₈

D₇₆

yes

characteristic

132

C₂×C₄⋊C₄

—

133

C₂×C₄²

C₂²⋊D₁₉

yes

characteristic

134

C₂×C₁₆

—

135

C₂×C₁₆

—

136

C₂×C₁₆

—

137

#107

—

138

C₄⋊C₈

—

139

C₄⋊C₈

—

140

#103

—

141

#103

—

142

C₄×C₈

—

143

#95

—

144

#95

—

145

C₁₉

#7113

yes

characteristic, complemented, Sylow

146

C₂×Q₈

—

147

C₂×Q₈

—

148

C₂×Q₈

—

149

C₂×Q₈

—

150

C₂×Q₈

—

151

C₂×Q₈

—

152

C₂²×C₄

—

153

C₂²×C₄

—

154

C₂²×C₄

(C₂×D₁₉)⋊C₄

yes

characteristic

155

C₂²×C₄

#64525

yes

characteristic

156

C₂²×C₄

#64527

yes

characteristic

157

Q₁₆

—

158

Q₁₆

—

159

C₂×C₈

—

160

C₂×C₈

—

161

C₂×C₈

—

162

C₂×C₈

—

163

C₂×C₈

—

164

C₂×C₈

—

165

C₂×C₈

—

166

C₂×C₈

C₈×D₁₉

yes

characteristic

167

C₂×C₈

#64515

yes

characteristic

168

C₂×C₈

#64516

yes

characteristic

169

C₂×C₈

D₁₅₂

yes

characteristic

170

C₄⋊C₄

—

171

C₄⋊C₄

—

172

C₄²

—

173

C₄²

—

174

C₁₆

—

175

C₂³

#10597266

yes

characteristic

176

Q₈

—

177

Q₈

—

178

Q₈

—

152

—

179

Q₈

—

152

—

180

C₂×C₄

—

181

C₂×C₄

—

182

C₂×C₄

—

183

C₂×C₄

—

184

C₂×C₄

—

185

C₂×C₄

—

186

C₂×C₄

—

152

—

187

C₂×C₄

—

152

—

188

C₂×C₄

—

152

—

189

C₂×C₄

—

152

—

190

C₂×C₄

—

152

—

191

C₂×C₄

#10597262

yes

characteristic

192

C₂×C₄

#10597263

yes

characteristic

193

C₂×C₄

(C₂×D₁₉)⋊C₈

yes

characteristic

194

C₂×C₄

#10597278

yes

characteristic

195

C₂×C₄

#10597280

yes

characteristic

196

C₂×C₄

#10597282

yes

characteristic

197

C₂×C₄

#10597284

yes

characteristic

198

C₂×C₄

#10597286

yes

characteristic

199

C₈

—

200

C₈

—

201

C₈

—

202

C₈

—

203

C₈

—

204

C₂²

#11926271

yes

characteristic

205

C₂²

#11926277

yes

characteristic

206

C₂²

#11926287

yes

characteristic

207

C₂²

#11926347

yes

characteristic

208

C₂²

#11926350

yes

characteristic

209

C₂²

#11926353

yes

characteristic

210

C₂²

#11926359

yes

characteristic

211

C₄

—

212

C₄

—

213

C₄

—

214

C₄

—

304

—

215

C₄

—

152

—

216

C₄

#11926267

yes

characteristic

217

C₄

#11926273

yes

characteristic

218

C₄

#11926279

yes

characteristic

219

C₄

#11926283

yes

characteristic

220

C₂

#14561455

yes

characteristic

221

C₂

#14561598

yes

characteristic

222

C₂

#14561604

yes

characteristic

223

C₂

#14561646

yes

characteristic

224

C₂

#14561652

yes

characteristic

225

C₂

#14561677

yes

characteristic

226

C₂

#14561683

yes

characteristic

	subgroup	G/H
center	C₂³	#10597266
commutator	C₂×C₈×C₁₉	C₂×C₈
Frattini	C₂×C₄×C₈	C₂×D₁₉
Fitting	C₁₉×#1277	C₂
socle, prime radical	C₂³×C₁₉	#102
cosocle	C₂×C₄×C₈×C₁₉	C₂²
hypercenter	#1277	D₁₉
hypocenter	C₁₉	#7113
LCS	G ▷ C₂×C₈×C₁₉ ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×C₄×C₈ ◁ #1277

subgroup

G/H

center

C₂³

#10597266

commutator

C₂×C₈×C₁₉

C₂×C₈

Frattini

C₂×C₄×C₈

C₂×D₁₉

Fitting

C₁₉×#1277

C₂

socle, prime radical

C₂³×C₁₉

#102

cosocle

C₂×C₄×C₈×C₁₉

C₂²

D₁₉

C₁₉

G ▷ C₂×C₈×C₁₉ ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×C₄×C₈ ◁ #1277

N	H ≅ G/N	type
20. C₂×Dic₇₆	C₈	semidirect
145. C₁₉	#7113	semidirect

H ≅ G/N

type

20. C₂×Dic₇₆

C₈

semidirect

145. C₁₉

#7113

semidirect

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

subgroup	index
#14564496	2
#14561713	2
C₁₉×#1277	2
#7113	19

subgroup

index

#14564496

#14561713

C₁₉×#1277

#7113

Subgroups — #18069308

Conjugacy classes of subgroups

Complements

Maximal subgroups