Group #14574767 — subgroups

Subgroups — #14574767

Order 2432.

370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.

normal subgroups only

This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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	#11927101	C₂	1	1	yes	maximal, characteristic, complemented
2	#11926947	C₂	1	1	yes	maximal, characteristic, complemented
3	#11926940	C₂	1	1	yes	maximal, characteristic, complemented
4	#11926890	C₂	1	1	yes	maximal, characteristic, complemented
5	#11926890	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926865	C₂	1	4	yes	maximal, complemented
7	#11926844	C₂	1	4	yes	maximal, complemented
8	#11926597	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#532	C₂	1	1	yes	maximal, characteristic
10	C₂×#41×C₁₉	—	2	1	no	—
11	C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
12	C₁₉×#127	C₂²	1	1	yes	characteristic
13	C₁₉×#124	—	2	1	no	—
14	C₁₉×#121	—	2	1	no	—
15	C₁₉×#121	C₂²	1	2	yes	—
16	C₄×D₄×C₁₉	—	2	1	no	—
17	C₄×D₄×C₁₉	C₂²	1	2	yes	—
18	C₂×C₄²×C₁₉	C₂²	1	1	yes	characteristic
19	#10597372	C₂²	1	2	yes	—
20	#10597370	—	2	1	no	—
21	#10597370	—	2	1	no	—
22	#10597316	C₂²	1	2	yes	—
23	#10597315	C₂²	1	1	yes	characteristic
24	#10597315	C₂²	1	1	yes	characteristic
25	C₄×Dic₃₈	—	2	1	no	—
26	C₄×Dic₃₈	—	2	1	no	—
27	#10597289	C₂²	1	4	yes	—
28	#10597289	C₂²	1	4	yes	—
29	C₂²⋊(C₁₉⋊C₈)	C₂²	1	2	yes	—
30	#10597265	C₂²	1	4	yes	—
31	#10597264	C₂²	1	4	yes	—
32	C₄⋊(C₁₉⋊C₈)	C₂²	1	2	yes	—
33	C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
34	C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
35	#41×C₁₉	—	4	4	no	—
36	C₂×Q₈×C₁₉	—	2	1	no	—
37	C₂×D₄×C₁₉	—	2	2	no	—
38	C₂×D₄×C₁₉	—	2	1	no	—
39	C₂×D₄×C₁₉	—	2	1	no	—
40	C₂×D₄×C₁₉	C₂³	1	2	yes	—
41	C₂²×C₄×C₁₉	—	2	2	no	—
42	C₂²×C₄×C₁₉	D₄	1	1	yes	characteristic
43	C₂²×C₄×C₁₉	D₄	1	1	yes	characteristic
44	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
45	C₂×Dic₃₈	—	2	1	no	—
46	C₂×Dic₃₈	—	2	1	no	—
47	C₄⋊C₄×C₁₉	—	2	1	no	—
48	C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
49	C₂²⋊C₄×C₁₉	—	2	2	no	—
50	C₂²⋊C₄×C₁₉	—	2	2	no	—
51	C₄²×C₁₉	D₄	1	1	yes	characteristic
52	C₄²×C₁₉	D₄	1	1	yes	characteristic
53	C₄²×C₁₉	C₂³	1	1	yes	characteristic
54	C₄²×C₁₉	C₂³	1	1	yes	characteristic
55	C₂²⋊Dic₁₉	—	2	2	no	—
56	C₄⋊Dic₁₉	—	2	1	no	—
57	C₄⋊Dic₁₉	—	2	1	no	—
58	C₄⋊Dic₁₉	C₂³	1	2	yes	—
59	C₄⋊Dic₁₉	C₂³	1	2	yes	—
60	Dic₁₉⋊C₄	—	2	2	no	—
61	Dic₁₉⋊C₄	—	2	2	no	—
62	C₄×Dic₁₉	—	2	2	no	—
63	C₂×C₁₉⋊C₈	C₂³	1	2	yes	—
64	C₂×C₁₉⋊C₈	C₂³	1	2	yes	—
65	C₂³×C₁₉	—	2	2	no	—
66	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
67	Q₈×C₁₉	—	4	2	no	—
68	D₄×C₁₉	—	2	4	no	—
69	D₄×C₁₉	—	4	4	no	—
70	D₄×C₁₉	—	4	2	no	—
71	D₄×C₁₉	—	4	2	no	—
72	C₂×C₄×C₁₉	—	2	2	no	—
73	C₂×C₄×C₁₉	—	2	2	no	—
74	C₂×C₄×C₁₉	—	2	2	no	—
75	C₂×C₄×C₁₉	—	2	2	no	—
76	C₂×C₄×C₁₉	—	4	4	no	—
77	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
78	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
79	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
80	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
81	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
82	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
83	C₂×Dic₁₉	—	2	2	no	—
84	C₂×Dic₁₉	—	2	2	no	—
85	Dic₃₈	—	4	2	no	—
86	Dic₃₈	—	4	2	no	—
87	C₁₉⋊C₈	—	2	2	no	—
88	C₁₉⋊C₈	—	2	2	no	—
89	#3228	—	19	1	no	maximal, Sylow
90	C₂²×C₁₉	—	2	1	no	—
91	C₂²×C₁₉	—	2	1	no	—
92	C₂²×C₁₉	—	2	1	no	—
93	C₂²×C₁₉	—	4	2	no	—
94	C₂²×C₁₉	—	4	2	no	—
95	C₂²×C₁₉	—	4	2	no	—
96	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
97	C₄×C₁₉	—	2	1	no	—
98	C₄×C₁₉	—	2	1	no	—
99	C₄×C₁₉	—	2	1	no	—
100	C₄×C₁₉	—	4	2	no	—
101	C₄×C₁₉	#135	1	2	yes	—
102	C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
103	C₄×C₁₉	2₋¹⁺⁴	1	2	yes	—
104	Dic₁₉	—	4	2	no	—
105	Dic₁₉	—	4	2	no	—
106	#533	—	19	1	no	—
107	#532	D₁₉	1	1	yes	characteristic
108	#500	—	19	1	no	—
109	#498	—	19	1	no	—
110	#486	—	19	1	no	—
111	#486	—	19	1	no	—
112	#482	—	19	4	no	—
113	#478	—	19	4	no	—
114	#431	—	19	1	no	—
115	C₂×C₁₉	—	4	1	no	—
116	C₂×C₁₉	—	8	2	no	—
117	C₂×C₁₉	#536	1	1	yes	characteristic
118	C₂×C₁₉	C₂×#135	1	1	yes	characteristic
119	C₂×C₁₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
120	C₂×#41	—	2	1	no	—
121	C₄⋊Q₈	—	19	1	no	—
122	C₄⋊Q₈	—	19	1	no	—
123	C₄⋊Q₈	C₂×D₁₉	1	1	yes	characteristic
124	#127	C₂×D₁₉	1	1	yes	characteristic
125	#125	—	19	2	no	—
126	#124	—	2	1	no	—
127	C₂²⋊Q₈	—	38	1	no	—
128	C₂²⋊Q₈	—	38	1	no	—
129	#121	—	2	1	no	—
130	#121	C₂×D₁₉	1	2	yes	—
131	C₄×Q₈	—	38	1	no	—
132	C₄×Q₈	—	38	1	no	—
133	C₄×D₄	—	2	1	no	—
134	C₄×D₄	C₂×D₁₉	1	2	yes	—
135	#117	—	19	2	no	—
136	C₂×C₄²	C₂×D₁₉	1	1	yes	characteristic
137	#107	—	19	4	no	—
138	#106	—	19	4	no	—
139	C₄⋊C₈	—	19	2	no	—
140	#102	—	19	4	no	—
141	#102	—	19	4	no	—
142	C₂²⋊C₈	—	19	2	no	—
143	C₄×C₈	—	19	1	no	—
144	C₄×C₈	—	19	1	no	—
145	C₁₉	#3228	1	1	yes	characteristic, complemented, Sylow
146	#41	—	4	4	no	—
147	C₂×Q₈	—	2	1	no	—
148	C₂×Q₈	—	38	1	no	—
149	C₂×Q₈	—	38	1	no	—
150	C₂×D₄	—	2	2	no	—
151	C₂×D₄	—	2	1	no	—
152	C₂×D₄	—	2	1	no	—
153	C₂×D₄	C₂²×D₁₉	1	2	yes	—
154	C₂²×C₄	—	2	2	no	—
155	C₂²×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
156	C₂²×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
157	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
158	C₂×C₈	—	19	2	no	—
159	C₂×C₈	—	19	2	no	—
160	C₄⋊C₄	—	2	1	no	—
161	C₄⋊C₄	—	19	2	no	—
162	C₄⋊C₄	—	19	2	no	—
163	C₄⋊C₄	—	38	2	no	—
164	C₄⋊C₄	—	38	2	no	—
165	C₄⋊C₄	—	38	1	no	—
166	C₄⋊C₄	—	38	1	no	—
167	C₄⋊C₄	C₂²×D₁₉	1	2	yes	—
168	C₂²⋊C₄	—	2	2	no	—
169	C₂²⋊C₄	—	2	2	no	—
170	C₂²⋊C₄	—	38	2	no	—
171	C₄²	—	38	2	no	—
172	C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
173	C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
174	C₄²	C₂²×D₁₉	1	1	yes	characteristic
175	C₄²	C₂²×D₁₉	1	1	yes	characteristic
176	C₂³	—	2	2	no	—
177	C₂³	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
178	Q₈	—	4	2	no	—
179	Q₈	—	76	2	no	—
180	Q₈	—	76	2	no	—
181	D₄	—	2	4	no	—
182	D₄	—	4	4	no	—
183	D₄	—	4	2	no	—
184	D₄	—	4	2	no	—
185	C₂×C₄	—	2	2	no	—
186	C₂×C₄	—	2	2	no	—
187	C₂×C₄	—	2	2	no	—
188	C₂×C₄	—	2	2	no	—
189	C₂×C₄	—	4	4	no	—
190	C₂×C₄	—	38	2	no	—
191	C₂×C₄	—	38	2	no	—
192	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
193	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
194	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
195	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
196	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
197	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
198	C₈	—	38	2	no	—
199	C₈	—	38	2	no	—
200	C₂²	—	2	1	no	—
201	C₂²	—	2	1	no	—
202	C₂²	—	2	1	no	—
203	C₂²	—	4	2	no	—
204	C₂²	—	4	2	no	—
205	C₂²	—	4	2	no	—
206	C₂²	C₂²×C₂²⋊D₁₉	1	1	yes	characteristic
207	C₄	—	2	1	no	—
208	C₄	—	2	1	no	—
209	C₄	—	2	1	no	—
210	C₄	—	4	2	no	—
211	C₄	—	76	2	no	—
212	C₄	—	76	2	no	—
213	C₄	#10597378	1	2	yes	—
214	C₄	#10597396	1	2	yes	—
215	C₄	#10597436	1	2	yes	—
216	C₂	—	4	1	no	—
217	C₂	—	8	2	no	—
218	C₂	#11927115	1	1	yes	characteristic
219	C₂	C₂×#10597396	1	1	yes	characteristic
220	C₂	C₂×#10597378	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#11927101

C₂

yes

maximal, characteristic, complemented

#11926947

C₂

yes

maximal, characteristic, complemented

#11926940

C₂

yes

maximal, characteristic, complemented

#11926890

C₂

yes

maximal, characteristic, complemented

#11926890

C₂

yes

maximal, characteristic, complemented

#11926865

C₂

yes

maximal, complemented

#11926844

C₂

yes

maximal, complemented

#11926597

C₂

yes

maximal, characteristic, complemented

C₁₉×#532

C₂

yes

maximal, characteristic

C₂×#41×C₁₉

—

C₁₉×C₄⋊Q₈

C₂²

yes

characteristic

C₁₉×#127

C₂²

yes

characteristic

C₁₉×#124

—

C₁₉×#121

—

C₁₉×#121

C₂²

yes

—

C₄×D₄×C₁₉

—

C₄×D₄×C₁₉

C₂²

yes

—

C₂×C₄²×C₁₉

C₂²

yes

characteristic

#10597372

C₂²

yes

—

#10597370

—

#10597370

—

#10597316

C₂²

yes

—

#10597315

C₂²

yes

characteristic

#10597315

C₂²

yes

characteristic

C₄×Dic₃₈

—

C₄×Dic₃₈

—

#10597289

C₂²

yes

—

#10597289

C₂²

yes

—

C₂²⋊(C₁₉⋊C₈)

C₂²

yes

—

#10597265

C₂²

yes

—

#10597264

C₂²

yes

—

C₄⋊(C₁₉⋊C₈)

C₂²

yes

—

C₄×C₁₉⋊C₈

C₂²

yes

characteristic

C₄×C₁₉⋊C₈

C₂²

yes

characteristic

#41×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

C₂³

yes

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

D₄

yes

characteristic

C₂²×C₄×C₁₉

D₄

yes

characteristic

C₂²×C₄×C₁₉

C₂³

yes

characteristic

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

C₂³

yes

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

D₄

yes

characteristic

C₄²×C₁₉

D₄

yes

characteristic

C₄²×C₁₉

C₂³

yes

characteristic

C₄²×C₁₉

C₂³

yes

characteristic

C₂²⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

C₂³

yes

—

C₄⋊Dic₁₉

C₂³

yes

—

Dic₁₉⋊C₄

—

Dic₁₉⋊C₄

—

C₄×Dic₁₉

—

C₂×C₁₉⋊C₈

C₂³

yes

—

C₂×C₁₉⋊C₈

C₂³

yes

—

C₂³×C₁₉

—

C₂³×C₁₉

C₂×D₄

yes

characteristic

Q₈×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂⁴

yes

characteristic

C₂×Dic₁₉

—

C₂×Dic₁₉

—

Dic₃₈

—

Dic₃₈

—

C₁₉⋊C₈

—

C₁₉⋊C₈

—

#3228

—

maximal, Sylow

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

C₂²×D₄

yes

characteristic

C₄×C₁₉

—

C₄×C₁₉

—

C₄×C₁₉

—

100

C₄×C₁₉

—

101

C₄×C₁₉

#135

yes

—

102

C₄×C₁₉

AGL(1,ℤ/8)

yes

—

103

C₄×C₁₉

2₋¹⁺⁴

yes

—

104

Dic₁₉

—

105

Dic₁₉

—

106

#533

—

107

#532

D₁₉

yes

characteristic

108

#500

—

109

#498

—

110

#486

—

111

#486

—

112

#482

—

113

#478

—

114

#431

—

115

C₂×C₁₉

—

116

C₂×C₁₉

—

117

C₂×C₁₉

#536

yes

characteristic

118

C₂×C₁₉

C₂×#135

yes

characteristic

119

C₂×C₁₉

C₂×AGL(1,ℤ/8)

yes

characteristic

120

C₂×#41

—

121

C₄⋊Q₈

—

122

C₄⋊Q₈

—

123

C₄⋊Q₈

C₂×D₁₉

yes

characteristic

124

#127

C₂×D₁₉

yes

characteristic

125

#125

—

126

#124

—

127

C₂²⋊Q₈

—

128

C₂²⋊Q₈

—

129

#121

—

130

#121

C₂×D₁₉

yes

—

131

C₄×Q₈

—

132

C₄×Q₈

—

133

C₄×D₄

—

134

C₄×D₄

C₂×D₁₉

yes

—

135

#117

—

136

C₂×C₄²

C₂×D₁₉

yes

characteristic

137

#107

—

138

#106

—

139

C₄⋊C₈

—

140

#102

—

141

#102

—

142

C₂²⋊C₈

—

143

C₄×C₈

—

144

C₄×C₈

—

145

C₁₉

#3228

yes

characteristic, complemented, Sylow

146

#41

—

147

C₂×Q₈

—

148

C₂×Q₈

—

149

C₂×Q₈

—

150

C₂×D₄

—

151

C₂×D₄

—

152

C₂×D₄

—

153

C₂×D₄

C₂²×D₁₉

yes

—

154

C₂²×C₄

—

155

C₂²×C₄

C₂²⋊D₁₉

yes

characteristic

156

C₂²×C₄

C₂²⋊D₁₉

yes

characteristic

157

C₂²×C₄

C₂²×D₁₉

yes

characteristic

158

C₂×C₈

—

159

C₂×C₈

—

160

C₄⋊C₄

—

161

C₄⋊C₄

—

162

C₄⋊C₄

—

163

C₄⋊C₄

—

164

C₄⋊C₄

—

165

C₄⋊C₄

—

166

C₄⋊C₄

—

167

C₄⋊C₄

C₂²×D₁₉

yes

—

168

C₂²⋊C₄

—

169

C₂²⋊C₄

—

170

C₂²⋊C₄

—

171

C₄²

—

172

C₄²

C₂²⋊D₁₉

yes

characteristic

173

C₄²

C₂²⋊D₁₉

yes

characteristic

174

C₄²

C₂²×D₁₉

yes

characteristic

175

C₄²

C₂²×D₁₉

yes

characteristic

176

C₂³

—

177

C₂³

C₂×C₂²⋊D₁₉

yes

characteristic

178

Q₈

—

179

Q₈

—

180

Q₈

—

181

D₄

—

182

D₄

—

183

D₄

—

184

D₄

—

185

C₂×C₄

—

186

C₂×C₄

—

187

C₂×C₄

—

188

C₂×C₄

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

193

C₂×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

194

C₂×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

195

C₂×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

196

C₂×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

197

C₂×C₄

C₂³×D₁₉

yes

characteristic

198

C₈

—

199

C₈

—

200

C₂²

—

201

C₂²

—

202

C₂²

—

203

C₂²

—

204

C₂²

—

205

C₂²

—

206

C₂²

C₂²×C₂²⋊D₁₉

yes

characteristic

207

C₄

—

208

C₄

—

209

C₄

—

210

C₄

—

211

C₄

—

212

C₄

—

213

C₄

#10597378

yes

—

214

C₄

#10597396

yes

—

215

C₄

#10597436

yes

—

216

C₂

—

217

C₂

—

218

C₂

#11927115

yes

characteristic

219

C₂

C₂×#10597396

yes

characteristic

220

C₂

C₂×#10597378

yes

characteristic

	subgroup	G/H
center	C₂²	C₂²×C₂²⋊D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting, prime radical	C₁₉×#532	C₂
socle	C₂²×C₁₉	C₂²×D₄
hypercenter	#532	D₁₉
hypocenter	C₁₉	#3228
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #532

subgroup

G/H

center

C₂²

C₂²×C₂²⋊D₁₉

commutator, cosocle

C₂×C₄×C₁₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₁₉

Fitting, prime radical

C₁₉×#532

C₂

socle

C₂²×C₁₉

C₂²×D₄

D₁₉

C₁₉

G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #532

N	H ≅ G/N	type
1. #11927101	C₂	semidirect
2. #11926947	C₂	semidirect
3. #11926940	C₂	semidirect
4. #11926890	C₂	semidirect
5. #11926890	C₂	semidirect
6. #11926865	C₂	semidirect
7. #11926844	C₂	semidirect
8. #11926597	C₂	semidirect
145. C₁₉	#3228	semidirect

H ≅ G/N

type

1. #11927101

C₂

semidirect

2. #11926947

C₂

semidirect

3. #11926940

C₂

semidirect

4. #11926890

C₂

semidirect

5. #11926890

C₂

semidirect

6. #11926865

C₂

semidirect

7. #11926844

C₂

semidirect

8. #11926597

C₂

semidirect

145. C₁₉

#3228

semidirect

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

subgroup	index
#11927101	2
#11926947	2
#11926940	2
#11926890	2
#11926865	2
#11926844	2
#11926597	2
C₁₉×#532	2
#3228	19

subgroup

index

C₁₉×#532

Subgroups — #14574767

Conjugacy classes of subgroups

Complements

Maximal subgroups