Group #13126494 — subgroups

Subgroups — #13126494

Order 1664.

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

normal subgroups only

This group has 476 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	C₂×#88163	C₂	1	2	yes	maximal, complemented
2	#11719257	C₂	1	2	yes	maximal, complemented
3	C₁₃×#436	C₂	1	1	yes	maximal, characteristic, complemented
4	#11718795	C₂	1	2	yes	maximal, complemented
5	#11718506	C₂	1	2	yes	maximal, complemented
6	#11718400	C₂	1	2	yes	maximal, complemented
7	#11718395	C₂	1	2	yes	maximal, complemented
8	C₄×Dic₅₂	C₂	1	1	yes	maximal, characteristic, complemented
9	#11718357	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#6127	C₂²	1	2	yes	—
11	C₂²×Dic₂₆	C₂²	1	2	yes	—
12	C₂×C₁₃×M₁₆	C₂²	1	2	yes	—
13	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
14	#88193	—	2	2	no	—
15	#88184	C₂²	1	2	yes	—
16	#88178	C₂²	1	2	yes	—
17	#88163	—	2	8	no	—
18	C₂×Dic₅₂	C₂²	1	2	yes	—
19	C₂×Dic₅₂	C₂²	1	1	yes	characteristic
20	C₂×Dic₅₂	C₂²	1	1	yes	characteristic
21	C₂×D₁₀₄	C₂²	1	1	yes	characteristic
22	C₂×#6095	C₂²	1	2	yes	—
23	C₂×#6095	C₂²	1	2	yes	—
24	#88150	—	2	2	no	—
25	#88139	—	2	2	no	—
26	#88135	—	2	2	no	—
27	#88129	C₂²	1	2	yes	—
28	C₄×Dic₂₆	C₂²	1	2	yes	—
29	C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
30	C₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
31	C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
32	#88061	C₂²	1	2	yes	—
33	#88058	C₂²	1	1	yes	characteristic
34	#88056	C₂²	1	2	yes	—
35	#88056	C₂²	1	2	yes	—
36	C₂×D₄×C₁₃	D₄	1	1	yes	characteristic
37	C₂²×C₄×C₁₃	C₂³	1	2	yes	—
38	C₂×C₂²⋊D₁₃	—	2	2	no	—
39	C₂×C₂²⋊D₁₃	—	2	2	no	—
40	C₂²×Dic₁₃	—	2	2	no	—
41	#6127	—	2	4	no	—
42	#6127	—	4	2	no	—
43	C₂×D₅₂	C₂³	1	2	yes	—
44	C₂×C₄×D₁₃	—	2	2	no	—
45	C₂×Dic₂₆	—	2	4	no	—
46	C₂×Dic₂₆	—	2	2	no	—
47	C₂×Dic₂₆	—	4	2	no	—
48	C₂×Dic₂₆	C₂³	1	2	yes	—
49	C₂×Dic₂₆	C₂³	1	2	yes	—
50	C₁₃×M₁₆	—	2	4	no	—
51	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
52	C₂×C₈×C₁₃	C₂³	1	2	yes	—
53	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
54	C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
55	C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
56	C₄²×C₁₃	C₂³	1	1	yes	characteristic
57	C₂²⋊Dic₁₃	—	2	2	no	—
58	#6103	—	2	2	no	—
59	#6103	—	2	2	no	—
60	#6103	—	2	2	no	—
61	C₄⋊Dic₁₃	C₂³	1	2	yes	—
62	#6101	—	2	2	no	—
63	#6101	—	2	2	no	—
64	C₄×Dic₁₃	—	2	2	no	—
65	Dic₅₂	—	2	4	no	—
66	Dic₅₂	—	4	1	no	—
67	Dic₅₂	D₄	1	4	yes	complemented
68	D₁₀₄	—	4	1	no	—
69	#6095	—	2	4	no	—
70	#6095	—	2	4	no	—
71	#3277	—	13	1	no	maximal, Sylow
72	C₂³×C₁₃	C₂×D₄	1	2	yes	—
73	C₂²×D₁₃	—	2	2	no	—
74	D₄×C₁₃	—	4	1	no	—
75	C₂×C₄×C₁₃	—	2	2	no	—
76	C₂×C₄×C₁₃	—	2	2	no	—
77	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
78	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
79	C₂×C₄×C₁₃	C₂×D₄	1	2	yes	—
80	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
81	C₂²⋊D₁₃	—	4	4	no	—
82	C₂²⋊D₁₃	—	4	4	no	—
83	C₂×Dic₁₃	—	2	2	no	—
84	C₂×Dic₁₃	—	2	2	no	—
85	C₂×Dic₁₃	—	2	2	no	—
86	C₂×Dic₁₃	—	4	4	no	—
87	D₅₂	—	2	2	no	—
88	D₅₂	—	2	2	no	—
89	C₄×D₁₃	—	4	4	no	—
90	Dic₂₆	—	2	2	no	—
91	Dic₂₆	—	2	2	no	—
92	Dic₂₆	—	2	2	no	—
93	Dic₂₆	—	4	4	no	—
94	Dic₂₆	C₂×D₄	1	4	yes	—
95	C₈×C₁₃	—	2	2	no	—
96	C₈×C₁₃	—	2	1	no	—
97	C₈×C₁₃	C₂×D₄	1	2	yes	—
98	C₂×#137	—	13	2	no	—
99	#548	—	13	2	no	—
100	#495	—	13	1	no	—
101	#468	—	13	2	no	—
102	#464	—	13	2	no	—
103	#451	—	13	2	no	—
104	#449	—	13	2	no	—
105	C₄×Q₁₆	—	13	1	no	—
106	#436	D₁₃	1	1	yes	characteristic, complemented
107	C₂²×C₁₃	—	2	2	no	—
108	C₂²×C₁₃	—	2	2	no	—
109	C₂²×C₁₃	—	2	2	no	—
110	C₂²×C₁₃	C₂²×D₄	1	1	yes	characteristic
111	C₂×D₁₃	—	4	2	no	—
112	C₂×D₁₃	—	4	2	no	—
113	C₂×D₁₃	—	4	2	no	—
114	C₄×C₁₃	—	2	2	no	—
115	C₄×C₁₃	—	2	1	no	—
116	C₄×C₁₃	—	2	1	no	—
117	C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
118	C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
119	Dic₁₃	—	2	4	no	—
120	Dic₁₃	—	4	2	no	—
121	Dic₁₃	—	4	2	no	—
122	C₂×#41	—	13	2	no	—
123	C₂²×Q₈	—	13	2	no	—
124	#137	—	26	8	no	—
125	C₂×Q₁₆	—	13	1	no	—
126	C₂×Q₁₆	—	13	2	no	—
127	C₂×Q₁₆	—	13	1	no	—
128	C₂×SD₁₆	—	13	2	no	—
129	C₂×SD₁₆	—	13	2	no	—
130	C₂×D₈	—	13	1	no	—
131	C₂×M₁₆	C₂×D₁₃	1	2	yes	—
132	#124	—	13	2	no	—
133	#124	—	26	2	no	—
134	C₂²⋊Q₈	—	13	2	no	—
135	C₂²⋊Q₈	—	26	2	no	—
136	#121	—	13	2	no	—
137	#121	—	26	2	no	—
138	C₄×Q₈	—	13	2	no	—
139	C₄×D₄	—	26	2	no	—
140	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
141	#107	—	13	1	no	—
142	C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic
143	#103	—	13	2	no	—
144	#103	—	13	2	no	—
145	#102	—	13	2	no	—
146	C₂²⋊C₈	C₂×D₁₃	1	2	yes	—
147	C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
148	C₂×C₁₃	—	4	2	no	—
149	C₂×C₁₃	D₄²	1	1	yes	characteristic
150	C₂×C₁₃	#575	1	1	yes	characteristic
151	C₂×C₁₃	#578	1	1	yes	characteristic
152	D₁₃	—	8	2	no	—
153	#41	—	26	4	no	—
154	#41	—	52	2	no	—
155	C₂×Q₈	—	13	2	no	—
156	C₂×Q₈	—	13	2	no	—
157	C₂×Q₈	—	26	4	no	—
158	C₂×Q₈	—	26	2	no	—
159	C₂×Q₈	—	52	2	no	—
160	C₂×D₄	—	13	2	no	—
161	C₂×D₄	—	26	2	no	—
162	C₂×D₄	—	26	2	no	—
163	C₂×D₄	D₅₂	1	1	yes	characteristic
164	C₂²×C₄	—	26	2	no	—
165	C₂²×C₄	—	26	2	no	—
166	C₂²×C₄	C₂²×D₁₃	1	2	yes	—
167	Q₁₆	—	13	4	no	—
168	Q₁₆	—	26	4	no	—
169	Q₁₆	—	52	1	no	—
170	SD₁₆	—	26	4	no	—
171	SD₁₆	—	26	4	no	—
172	D₈	—	52	1	no	—
173	M₁₆	—	2	4	no	—
174	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
175	C₂×C₈	C₂²×D₁₃	1	2	yes	—
176	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
177	C₄⋊C₄	—	13	2	no	—
178	C₄⋊C₄	—	26	2	no	—
179	C₄⋊C₄	—	26	2	no	—
180	C₄⋊C₄	D₅₂	1	1	yes	characteristic
181	C₂²⋊C₄	—	26	2	no	—
182	C₂²⋊C₄	—	26	2	no	—
183	C₂²⋊C₄	—	26	2	no	—
184	C₂²⋊C₄	—	26	2	no	—
185	C₂²⋊C₄	D₅₂	1	2	yes	—
186	C₄²	—	26	2	no	—
187	C₄²	C₂²×D₁₃	1	1	yes	characteristic
188	C₁₃	#3277	1	1	yes	characteristic, complemented, Sylow
189	C₂³	—	26	2	no	—
190	C₂³	C₂×D₅₂	1	2	yes	—
191	Q₈	—	13	4	no	—
192	Q₈	—	26	2	no	—
193	Q₈	—	26	2	no	—
194	Q₈	—	26	2	no	—
195	Q₈	—	52	4	no	—
196	D₄	—	4	1	no	—
197	D₄	—	26	2	no	—
198	D₄	—	26	2	no	—
199	D₄	—	52	4	no	—
200	D₄	—	52	4	no	—
201	C₂×C₄	—	2	2	no	—
202	C₂×C₄	—	2	2	no	—
203	C₂×C₄	—	26	2	no	—
204	C₂×C₄	—	26	2	no	—
205	C₂×C₄	—	26	2	no	—
206	C₂×C₄	—	52	4	no	—
207	C₂×C₄	—	52	4	no	—
208	C₂×C₄	C₂×D₅₂	1	1	yes	characteristic
209	C₂×C₄	C₂×D₅₂	1	1	yes	characteristic
210	C₂×C₄	C₂×D₅₂	1	2	yes	—
211	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
212	C₈	—	2	2	no	—
213	C₈	—	2	1	no	—
214	C₈	D₄×D₁₃	1	2	yes	—
215	C₂²	—	2	2	no	—
216	C₂²	—	2	2	no	—
217	C₂²	—	2	2	no	—
218	C₂²	—	52	2	no	—
219	C₂²	—	52	2	no	—
220	C₂²	—	52	2	no	—
221	C₂²	C₂²×D₅₂	1	1	yes	characteristic
222	C₄	—	2	1	no	—
223	C₄	—	2	1	no	—
224	C₄	—	2	2	no	—
225	C₄	—	26	4	no	—
226	C₄	—	52	2	no	—
227	C₄	—	52	2	no	—
228	C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
229	C₄	#88256	1	1	yes	characteristic
230	C₂	—	4	2	no	—
231	C₂	—	104	2	no	—
232	C₂	D₄×D₅₂	1	1	yes	characteristic
233	C₂	#11719453	1	1	yes	characteristic
234	C₂	#11719458	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#88163

C₂

yes

maximal, complemented

#11719257

C₂

yes

maximal, complemented

C₁₃×#436

C₂

yes

maximal, characteristic, complemented

#11718795

C₂

yes

maximal, complemented

#11718506

C₂

yes

maximal, complemented

#11718400

C₂

yes

maximal, complemented

#11718395

C₂

yes

maximal, complemented

C₄×Dic₅₂

C₂

yes

maximal, characteristic, complemented

#11718357

C₂

yes

maximal, characteristic, complemented

C₂×#6127

C₂²

yes

—

C₂²×Dic₂₆

C₂²

yes

—

C₂×C₁₃×M₁₆

C₂²

yes

—

C₄×D₄×C₁₃

C₂²

yes

characteristic

#88193

—

#88184

C₂²

yes

—

#88178

C₂²

yes

—

#88163

—

C₂×Dic₅₂

C₂²

yes

—

C₂×Dic₅₂

C₂²

yes

characteristic

C₂×Dic₅₂

C₂²

yes

characteristic

C₂×D₁₀₄

C₂²

yes

characteristic

C₂×#6095

C₂²

yes

—

C₂×#6095

C₂²

yes

—

—

—

—

C₂²

yes

—

C₄×Dic₂₆

C₂²

yes

—

C₁₃×C₄⋊C₈

C₂²

yes

characteristic

C₁₃×C₂²⋊C₈

C₂²

yes

—

C₄×C₈×C₁₃

C₂²

yes

characteristic

#88061

C₂²

yes

—

#88058

C₂²

yes

characteristic

#88056

C₂²

yes

—

#88056

C₂²

yes

—

C₂×D₄×C₁₃

D₄

yes

characteristic

C₂²×C₄×C₁₃

C₂³

yes

—

C₂×C₂²⋊D₁₃

—

C₂×C₂²⋊D₁₃

—

C₂²×Dic₁₃

—

#6127

—

#6127

—

C₂×D₅₂

C₂³

yes

—

C₂×C₄×D₁₃

—

C₂×Dic₂₆

—

C₂×Dic₂₆

—

C₂×Dic₂₆

—

C₂×Dic₂₆

C₂³

yes

—

C₂×Dic₂₆

C₂³

yes

—

C₁₃×M₁₆

—

C₂×C₈×C₁₃

C₂³

yes

characteristic

C₂×C₈×C₁₃

C₂³

yes

—

C₂×C₈×C₁₃

C₂³

yes

characteristic

C₁₃×C₄⋊C₄

D₄

yes

characteristic

C₁₃×C₂²⋊C₄

D₄

yes

—

C₄²×C₁₃

C₂³

yes

characteristic

C₂²⋊Dic₁₃

—

#6103

—

#6103

—

#6103

—

C₄⋊Dic₁₃

C₂³

yes

—

#6101

—

#6101

—

C₄×Dic₁₃

—

Dic₅₂

—

Dic₅₂

—

Dic₅₂

D₄

yes

complemented

D₁₀₄

—

—

—

—

C₂³×C₁₃

C₂×D₄

yes

—

C₂²×D₁₃

—

D₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

C₂×D₄

yes

characteristic

C₂×C₄×C₁₃

C₂×D₄

yes

characteristic

C₂×C₄×C₁₃

C₂×D₄

yes

—

C₂×C₄×C₁₃

C₂⁴

yes

characteristic

C₂²⋊D₁₃

—

C₂²⋊D₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

D₅₂

—

D₅₂

—

C₄×D₁₃

—

Dic₂₆

—

Dic₂₆

—

Dic₂₆

—

Dic₂₆

—

Dic₂₆

C₂×D₄

yes

—

C₈×C₁₃

—

C₈×C₁₃

—

C₈×C₁₃

C₂×D₄

yes

—

C₂×#137

—

#548

—

100

#495

—

101

#468

—

102

#464

—

103

#451

—

104

#449

—

105

C₄×Q₁₆

—

106

#436

D₁₃

yes

characteristic, complemented

107

C₂²×C₁₃

—

108

C₂²×C₁₃

—

109

C₂²×C₁₃

—

110

C₂²×C₁₃

C₂²×D₄

yes

characteristic

111

C₂×D₁₃

—

112

C₂×D₁₃

—

113

C₂×D₁₃

—

114

C₄×C₁₃

—

115

C₄×C₁₃

—

116

C₄×C₁₃

—

117

C₄×C₁₃

C₂²×D₄

yes

characteristic

118

C₄×C₁₃

H(5,𝔽₂)

yes

characteristic

119

Dic₁₃

—

120

Dic₁₃

—

121

Dic₁₃

—

122

C₂×#41

—

123

C₂²×Q₈

—

124

#137

—

125

C₂×Q₁₆

—

126

C₂×Q₁₆

—

127

C₂×Q₁₆

—

128

C₂×SD₁₆

—

129

C₂×SD₁₆

—

130

C₂×D₈

—

131

C₂×M₁₆

C₂×D₁₃

yes

—

132

#124

—

133

#124

—

134

C₂²⋊Q₈

—

135

C₂²⋊Q₈

—

136

#121

—

137

#121

—

138

C₄×Q₈

—

139

C₄×D₄

—

140

C₄×D₄

C₂×D₁₃

yes

characteristic

141

#107

—

142

C₄⋊C₈

C₂×D₁₃

yes

characteristic

143

#103

—

144

#103

—

145

#102

—

146

C₂²⋊C₈

C₂×D₁₃

yes

—

147

C₄×C₈

C₂×D₁₃

yes

characteristic

148

C₂×C₁₃

—

149

C₂×C₁₃

D₄²

yes

characteristic

150

C₂×C₁₃

#575

yes

characteristic

151

C₂×C₁₃

#578

yes

characteristic

152

D₁₃

—

153

#41

—

154

#41

—

155

C₂×Q₈

—

156

C₂×Q₈

—

157

C₂×Q₈

—

158

C₂×Q₈

—

159

C₂×Q₈

—

160

C₂×D₄

—

161

C₂×D₄

—

162

C₂×D₄

—

163

C₂×D₄

D₅₂

yes

characteristic

164

C₂²×C₄

—

165

C₂²×C₄

—

166

C₂²×C₄

C₂²×D₁₃

yes

—

167

Q₁₆

—

168

Q₁₆

—

169

Q₁₆

—

170

SD₁₆

—

171

SD₁₆

—

172

D₈

—

173

M₁₆

—

174

C₂×C₈

C₂²×D₁₃

yes

characteristic

175

C₂×C₈

C₂²×D₁₃

yes

—

176

C₂×C₈

C₂²×D₁₃

yes

characteristic

177

C₄⋊C₄

—

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

D₅₂

yes

characteristic

181

C₂²⋊C₄

—

182

C₂²⋊C₄

—

183

C₂²⋊C₄

—

184

C₂²⋊C₄

—

185

C₂²⋊C₄

D₅₂

yes

—

186

C₄²

—

187

C₄²

C₂²×D₁₃

yes

characteristic

188

C₁₃

#3277

yes

characteristic, complemented, Sylow

189

C₂³

—

190

C₂³

C₂×D₅₂

yes

—

191

Q₈

—

192

Q₈

—

193

Q₈

—

194

Q₈

—

195

Q₈

—

196

D₄

—

197

D₄

—

198

D₄

—

199

D₄

—

200

D₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

—

207

C₂×C₄

—

208

C₂×C₄

C₂×D₅₂

yes

characteristic

209

C₂×C₄

C₂×D₅₂

yes

characteristic

210

C₂×C₄

C₂×D₅₂

yes

—

211

C₂×C₄

C₂³×D₁₃

yes

characteristic

212

C₈

—

213

C₈

—

214

C₈

D₄×D₁₃

yes

—

215

C₂²

—

216

C₂²

—

217

C₂²

—

218

C₂²

—

219

C₂²

—

220

C₂²

—

221

C₂²

C₂²×D₅₂

yes

characteristic

222

C₄

—

223

C₄

—

224

C₄

—

225

C₄

—

226

C₄

—

227

C₄

—

228

C₄

C₂×D₄×D₁₃

yes

characteristic

229

C₄

#88256

yes

characteristic

230

C₂

—

231

C₂

—

104

—

232

C₂

D₄×D₅₂

yes

characteristic

233

C₂

#11719453

yes

characteristic

234

C₂

#11719458

yes

characteristic

	subgroup	G/H
center	C₂²	C₂²×D₅₂
commutator, cosocle	C₂×C₄×C₁₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₃
Fitting	C₁₃×#436	C₂
socle	C₂²×C₁₃	C₂²×D₄
hypercenter	#436	D₁₃
hypocenter	C₁₃	#3277
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #436

subgroup

G/H

center

C₂²

C₂²×D₅₂

commutator, cosocle

C₂×C₄×C₁₃

C₂⁴

Frattini

C₂×C₄

C₂³×D₁₃

Fitting

C₁₃×#436

C₂

socle

C₂²×C₁₃

C₂²×D₄

D₁₃

C₁₃

G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃

UCS

C₁ ◁ C₂² ◁ C₄×D₄ ◁ #436

N	H ≅ G/N	type
1. C₂×#88163	C₂	semidirect
2. #11719257	C₂	semidirect
3. C₁₃×#436	C₂	semidirect
4. #11718795	C₂	semidirect
5. #11718506	C₂	semidirect
6. #11718400	C₂	semidirect
7. #11718395	C₂	semidirect
8. C₄×Dic₅₂	C₂	semidirect
9. #11718357	C₂	semidirect
67. Dic₅₂	D₄	semidirect
106. #436	D₁₃	semidirect
188. C₁₃	#3277	semidirect

H ≅ G/N

type

1. C₂×#88163

C₂

semidirect

2. #11719257

C₂

semidirect

3. C₁₃×#436

C₂

semidirect

4. #11718795

C₂

semidirect

5. #11718506

C₂

semidirect

6. #11718400

C₂

semidirect

7. #11718395

C₂

semidirect

8. C₄×Dic₅₂

C₂

semidirect

9. #11718357

C₂

semidirect

67. Dic₅₂

D₄

semidirect

106. #436

D₁₃

semidirect

188. C₁₃

#3277

semidirect

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

subgroup	index
C₂×#88163	2
#11719257	2
C₁₃×#436	2
#11718795	2
#11718506	2
#11718400	2
#11718395	2
C₄×Dic₅₂	2
#11718357	2
#3277	13

subgroup

index

C₁₃×#436

C₄×Dic₅₂

Subgroups — #13126494

Conjugacy classes of subgroups

Complements

Maximal subgroups