Group #17955822 — subgroups

Subgroups — #17955822

Order 4352.

382 conjugacy classes of subgroups; only the 140 normal subgroups are shown.

normal subgroups only

This group has 382 conjugacy classes of subgroups — too many to draw. Only its 140 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	#14544882	C₂	1	2	yes	maximal
2	C₂×#11763672	C₂	1	1	yes	maximal, characteristic
3	C₂×#11763650	C₂	1	1	yes	maximal, characteristic
4	#14543620	C₂	1	2	yes	maximal
5	#106×Dic₁₇	C₂	1	1	yes	maximal, characteristic
6	C₂×#10587544	—	2	2	no	—
7	C₂×C₄⋊#3624	C₂²	1	2	yes	—
8	C₂×C₄×#3624	C₂²	1	1	yes	characteristic
9	C₂×C₄×#3624	C₂²	1	1	yes	characteristic
10	#11763675	—	2	2	no	—
11	#11763672	—	2	2	no	—
12	#11763650	—	2	2	no	—
13	C₂×#10587488	C₄	1	1	yes	characteristic
14	C₂×C₈×Dic₁₇	C₂²	1	1	yes	characteristic
15	C₄⋊C₄×Dic₁₇	C₂²	1	2	yes	—
16	#11762571	C₄	1	2	yes	—
17	C₂×C₁₇×#106	C₄	1	1	yes	characteristic
18	C₂²×#3624	—	2	1	no	—
19	C₂²×#3624	—	2	2	no	—
20	C₂²×#3624	D₄	1	1	yes	characteristic
21	C₂²×#3624	D₄	1	1	yes	characteristic
22	C₂²×C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
23	C₂×C₄⋊C₄×C₁₇	C₂×C₄	1	2	yes	—
24	C₂×C₄⋊Dic₁₇	C₂×C₄	1	2	yes	—
25	C₂×C₄×Dic₁₇	—	2	2	no	—
26	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
27	C₂²×#3622	C₂×C₄	1	1	yes	characteristic
28	#10587544	—	4	4	no	—
29	C₄⋊#3624	—	2	2	no	—
30	C₄⋊#3624	—	2	2	no	—
31	C₄×#3624	—	2	1	no	—
32	C₄×#3624	—	2	1	no	—
33	C₄×#3624	—	2	1	no	—
34	C₄×#3624	Q₈	1	2	yes	—
35	C₁₇×#106	—	2	2	no	—
36	#10587502	—	2	2	no	—
37	#10587488	C₈	1	4	yes	complemented
38	C₈×Dic₁₇	D₄	1	2	yes	—
39	C₈×Dic₁₇	Q₈	1	2	yes	—
40	C₂²×C₄×C₁₇	—	2	2	no	—
41	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
42	C₂²×Dic₁₇	—	2	2	no	—
43	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
44	C₂²×Dic₁₇	#41	1	1	yes	characteristic
45	C₂×#3624	—	2	1	no	—
46	C₂×#3624	—	2	1	no	—
47	C₂×#3624	—	2	2	no	—
48	C₂×#3624	—	2	2	no	—
49	C₂×#3624	—	2	2	no	—
50	C₂×#3624	—	4	2	no	—
51	C₂×#3624	—	4	2	no	—
52	C₂×#3624	—	4	2	no	—
53	C₂×#3624	—	4	2	no	—
54	C₂×C₈×C₁₇	C₄⋊C₄	1	2	yes	—
55	C₂×C₈×C₁₇	C₂×C₈	1	2	yes	—
56	C₂×C₈×C₁₇	M₁₆	1	2	yes	—
57	C₄⋊C₄×C₁₇	—	2	2	no	—
58	C₄⋊C₄×C₁₇	—	2	2	no	—
59	C₄⋊Dic₁₇	—	2	2	no	—
60	C₄⋊Dic₁₇	C₂×C₈	1	4	yes	—
61	C₄×Dic₁₇	—	4	2	no	—
62	C₄×Dic₁₇	—	4	2	no	—
63	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
64	C₄×Dic₁₇	C₂×Q₈	1	1	yes	characteristic
65	C₄×Dic₁₇	C₂×Q₈	1	1	yes	characteristic
66	C₄×Dic₁₇	#41	1	1	yes	characteristic
67	C₂×#3622	—	2	1	no	—
68	C₂×#3622	—	2	1	no	—
69	C₂×#3622	C₄⋊C₄	1	2	yes	—
70	#9596	—	17	1	no	maximal, Sylow
71	C₂³×C₁₇	C₄×D₄	1	1	yes	characteristic
72	C₂×C₄×C₁₇	—	4	2	no	—
73	C₂×C₄×C₁₇	—	4	2	no	—
74	C₂×C₄×C₁₇	—	4	2	no	—
75	C₂×C₄×C₁₇	C₂×C₄⋊C₄	1	1	yes	characteristic
76	C₂×C₄×C₁₇	C₄×Q₈	1	1	yes	characteristic
77	C₂×C₄×C₁₇	C₂²×C₈	1	1	yes	characteristic
78	C₂×C₄×C₁₇	C₂×M₁₆	1	1	yes	characteristic
79	C₂×C₄×C₁₇	#131	1	1	yes	characteristic
80	C₂×C₄×C₁₇	#131	1	1	yes	characteristic
81	C₂×Dic₁₇	—	2	2	no	—
82	C₂×Dic₁₇	—	2	4	no	—
83	C₂×Dic₁₇	—	4	2	no	—
84	C₂×Dic₁₇	—	4	2	no	—
85	C₂×Dic₁₇	#121	1	1	yes	characteristic
86	C₂×Dic₁₇	C₂²⋊Q₈	1	1	yes	characteristic
87	C₂×Dic₁₇	#125	1	1	yes	characteristic
88	C₂×Dic₁₇	C₄⋊Q₈	1	1	yes	characteristic
89	C₂×Dic₁₇	AGL(1,ℤ/8)	1	2	yes	—
90	C₂×Dic₁₇	#137	1	2	yes	—
91	#3624	—	4	2	no	—
92	#3624	—	4	1	no	—
93	#3624	—	4	1	no	—
94	#3624	—	8	2	no	—
95	C₈×C₁₇	C₄⋊C₈	1	4	yes	complemented
96	#3622	—	2	2	no	—
97	#1939	—	17	2	no	—
98	C₄×#106	—	17	1	no	—
99	C₂×#335	—	17	1	no	—
100	C₂×#322	—	17	1	no	—
101	#1279	—	17	2	no	—
102	C₂²×C₁₇	#389	1	1	yes	characteristic
103	C₂²×C₁₇	C₈×D₄	1	1	yes	characteristic
104	C₂²×C₁₇	#436	1	1	yes	characteristic
105	C₂²×C₁₇	#440	1	2	yes	—
106	C₂²×C₁₇	#444	1	2	yes	—
107	C₄×C₁₇	—	8	2	no	—
108	C₄×C₁₇	C₂×C₄⋊C₈	1	1	yes	characteristic
109	C₄×C₁₇	#424	1	1	yes	characteristic
110	C₄×C₁₇	C₈×Q₈	1	1	yes	characteristic
111	C₄×C₁₇	#446	1	1	yes	characteristic
112	Dic₁₇	—	2	1	no	—
113	Dic₁₇	—	2	1	no	—
114	Dic₁₇	—	4	4	no	—
115	Dic₁₇	#469	1	1	yes	characteristic
116	Dic₁₇	#470	1	1	yes	characteristic
117	Dic₁₇	#501	1	2	yes	—
118	C₂×#106	—	17	1	no	—
119	C₂×#106	#595	1	1	yes	characteristic
120	C₂×C₄⋊C₈	—	17	2	no	—
121	C₂×C₄⋊C₈	—	34	2	no	—
122	C₂×C₄×C₈	—	17	1	no	—
123	C₂×C₄×C₈	—	17	1	no	—
124	C₂×C₄×C₈	—	17	1	no	—
125	C₄×C₄⋊C₄	—	17	2	no	—
126	#340	—	17	2	no	—
127	#336	—	34	2	no	—
128	#335	—	34	2	no	—
129	#322	—	34	2	no	—
130	C₂×C₁₇	SD₁₆⋊C₈	1	2	yes	—
131	C₂×C₁₇	#1592	1	2	yes	—
132	C₂×C₁₇	#1939	1	1	yes	characteristic
133	C₂×C₁₇	#1944	1	1	yes	characteristic
134	C₂×C₁₇	#1946	1	1	yes	characteristic
135	C₂²×C₈	—	17	1	no	—
136	C₂²×C₈	—	17	1	no	—
137	C₂²×C₈	—	17	1	no	—
138	C₂²×C₈	—	34	1	no	—
139	C₂²×C₈	—	34	2	no	—
140	C₂²×C₈	C₂×#595	1	1	yes	characteristic
141	C₂×C₄⋊C₄	—	17	2	no	—
142	C₂×C₄⋊C₄	C₂×#595	1	2	yes	—
143	C₂×C₄²	—	17	1	no	—
144	C₂×C₄²	—	34	2	no	—
145	#106	—	2	2	no	—
146	#106	—	17	4	no	—
147	C₄⋊C₈	—	34	2	no	—
148	C₄⋊C₈	—	34	2	no	—
149	C₄⋊C₈	—	68	4	no	—
150	C₄×C₈	—	17	2	no	—
151	C₄×C₈	—	17	2	no	—
152	C₄×C₈	—	17	2	no	—
153	C₄×C₈	—	34	1	no	—
154	C₄×C₈	—	34	1	no	—
155	C₄×C₈	—	34	1	no	—
156	#95	—	34	2	no	—
157	C₁₇	#9596	1	1	yes	characteristic, complemented, Sylow
158	C₂²×C₄	—	2	2	no	—
159	C₂²×C₄	—	17	1	no	—
160	C₂²×C₄	—	17	1	no	—
161	C₂²×C₄	—	34	2	no	—
162	C₂²×C₄	C₂²×#595	1	1	yes	characteristic
163	C₂×C₈	—	17	2	no	—
164	C₂×C₈	—	34	1	no	—
165	C₂×C₈	—	34	1	no	—
166	C₂×C₈	—	34	2	no	—
167	C₂×C₈	—	34	1	no	—
168	C₂×C₈	—	34	1	no	—
169	C₂×C₈	—	34	2	no	—
170	C₂×C₈	—	34	2	no	—
171	C₂×C₈	—	68	2	no	—
172	C₂×C₈	—	68	2	no	—
173	C₂×C₈	—	68	2	no	—
174	C₂×C₈	—	68	2	no	—
175	C₂×C₈	#63242	1	2	yes	—
176	C₂×C₈	C₄⋊#595	1	2	yes	—
177	C₂×C₈	#63247	1	2	yes	—
178	C₄⋊C₄	—	2	2	no	—
179	C₄⋊C₄	—	2	2	no	—
180	C₄⋊C₄	—	17	4	no	—
181	C₄⋊C₄	—	34	2	no	—
182	C₄²	—	17	1	no	—
183	C₄²	—	17	1	no	—
184	C₄²	—	17	1	no	—
185	C₄²	—	17	1	no	—
186	C₄²	—	68	2	no	—
187	C₄²	—	68	2	no	—
188	C₂³	D₄×#595	1	1	yes	characteristic
189	C₂×C₄	—	4	2	no	—
190	C₂×C₄	—	4	2	no	—
191	C₂×C₄	—	4	2	no	—
192	C₂×C₄	—	17	1	no	—
193	C₂×C₄	—	17	1	no	—
194	C₂×C₄	—	17	2	no	—
195	C₂×C₄	—	17	2	no	—
196	C₂×C₄	—	17	1	no	—
197	C₂×C₄	—	17	1	no	—
198	C₂×C₄	—	34	2	no	—
199	C₂×C₄	—	34	4	no	—
200	C₂×C₄	—	68	2	no	—
201	C₂×C₄	—	68	2	no	—
202	C₂×C₄	C₂×#63242	1	1	yes	characteristic
203	C₂×C₄	C₂×C₄⋊#595	1	1	yes	characteristic
204	C₂×C₄	#10587678	1	1	yes	characteristic
205	C₂×C₄	#10587680	1	1	yes	characteristic
206	C₂×C₄	Q₈×#595	1	1	yes	characteristic
207	C₂×C₄	C₂×#63247	1	1	yes	characteristic
208	C₈	—	34	2	no	—
209	C₈	—	68	1	no	—
210	C₈	—	68	1	no	—
211	C₈	—	68	2	no	—
212	C₈	—	136	2	no	—
213	C₈	#10587544	1	4	yes	complemented
214	C₂²	#11763760	1	1	yes	characteristic
215	C₂²	#11763837	1	1	yes	characteristic
216	C₂²	#11763844	1	1	yes	characteristic
217	C₂²	#11763848	1	2	yes	—
218	C₂²	#11763854	1	2	yes	—
219	C₄	—	8	2	no	—
220	C₄	—	17	1	no	—
221	C₄	—	17	1	no	—
222	C₄	—	17	2	no	—
223	C₄	—	34	1	no	—
224	C₄	—	34	1	no	—
225	C₄	—	68	4	no	—
226	C₄	C₂×#10587544	1	1	yes	characteristic
227	C₄	#11763816	1	1	yes	characteristic
228	C₄	#11763858	1	1	yes	characteristic
229	C₄	#11763860	1	1	yes	characteristic
230	C₂	#14544376	1	2	yes	—
231	C₂	#14544427	1	2	yes	—
232	C₂	#14544882	1	1	yes	characteristic
233	C₂	#14544890	1	1	yes	characteristic
234	C₂	#14544894	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14544882

C₂

yes

maximal

C₂×#11763672

C₂

yes

maximal, characteristic

C₂×#11763650

C₂

yes

maximal, characteristic

#14543620

C₂

yes

maximal

#106×Dic₁₇

C₂

yes

maximal, characteristic

C₂×#10587544

—

C₂×C₄⋊#3624

C₂²

yes

—

C₂×C₄×#3624

C₂²

yes

characteristic

C₂×C₄×#3624

C₂²

yes

—

—

—

C₄

yes

characteristic

C₂×C₈×Dic₁₇

C₂²

yes

characteristic

C₄⋊C₄×Dic₁₇

C₂²

yes

—

#11762571

C₄

yes

—

C₂×C₁₇×#106

C₄

yes

characteristic

C₂²×#3624

—

C₂²×#3624

—

C₂²×#3624

D₄

yes

characteristic

C₂²×#3624

D₄

yes

characteristic

C₂²×C₈×C₁₇

C₂×C₄

yes

characteristic

C₂×C₄⋊C₄×C₁₇

C₂×C₄

yes

—

C₂×C₄⋊Dic₁₇

C₂×C₄

yes

—

C₂×C₄×Dic₁₇

—

C₂×C₄×Dic₁₇

C₂³

yes

characteristic

C₂²×#3622

C₂×C₄

yes

—

—

—

—

—

—

Q₈

yes

—

C₁₇×#106

—

#10587502

—

#10587488

C₈

yes

complemented

C₈×Dic₁₇

D₄

yes

—

C₈×Dic₁₇

Q₈

yes

—

C₂²×C₄×C₁₇

—

C₂²×C₄×C₁₇

C₂²×C₄

yes

characteristic

C₂²×Dic₁₇

—

C₂²×Dic₁₇

C₂×D₄

yes

C₂²×Dic₁₇

yes

—

—

—

—

—

—

—

—

—

C₂×C₈×C₁₇

C₄⋊C₄

yes

—

C₂×C₈×C₁₇

C₂×C₈

yes

—

C₂×C₈×C₁₇

M₁₆

yes

—

C₄⋊C₄×C₁₇

—

C₄⋊C₄×C₁₇

—

C₄⋊Dic₁₇

—

C₄⋊Dic₁₇

C₂×C₈

yes

—

C₄×Dic₁₇

—

C₄×Dic₁₇

—

C₄×Dic₁₇

C₂×D₄

yes

characteristic

C₄×Dic₁₇

C₂×Q₈

yes

characteristic

C₄×Dic₁₇

C₂×Q₈

yes

C₄×Dic₁₇

yes

—

—

C₄⋊C₄

yes

—

#9596

—

maximal, Sylow

C₂³×C₁₇

C₄×D₄

yes

characteristic

C₂×C₄×C₁₇

—

C₂×C₄×C₁₇

—

C₂×C₄×C₁₇

—

C₂×C₄×C₁₇

C₂×C₄⋊C₄

yes

characteristic

C₂×C₄×C₁₇

C₄×Q₈

yes

characteristic

C₂×C₄×C₁₇

C₂²×C₈

yes

characteristic

C₂×C₄×C₁₇

C₂×M₁₆

yes

C₂×C₄×C₁₇

yes

C₂×C₄×C₁₇

yes

C₂×Dic₁₇

—

C₂×Dic₁₇

—

C₂×Dic₁₇

—

C₂×Dic₁₇

—

C₂×Dic₁₇

#121

yes

characteristic

C₂×Dic₁₇

C₂²⋊Q₈

yes

characteristic

C₂×Dic₁₇

#125

yes

characteristic

C₂×Dic₁₇

C₄⋊Q₈

yes

characteristic

C₂×Dic₁₇

AGL(1,ℤ/8)

yes

—

C₂×Dic₁₇

#137

yes

—

—

—

—

—

C₈×C₁₇

C₄⋊C₈

yes

—

—

—

—

100

C₂×#322

—

101

#1279

—

102

C₂²×C₁₇

#389

yes

characteristic

103

C₂²×C₁₇

C₈×D₄

yes

characteristic

104

C₂²×C₁₇

#436

yes

characteristic

105

C₂²×C₁₇

#440

yes

—

106

C₂²×C₁₇

#444

yes

—

107

C₄×C₁₇

—

108

C₄×C₁₇

C₂×C₄⋊C₈

yes

characteristic

109

C₄×C₁₇

#424

yes

characteristic

110

C₄×C₁₇

C₈×Q₈

yes

characteristic

111

C₄×C₁₇

#446

yes

characteristic

112

Dic₁₇

—

113

Dic₁₇

—

114

Dic₁₇

—

115

Dic₁₇

#469

yes

characteristic

116

Dic₁₇

#470

yes

characteristic

117

Dic₁₇

#501

yes

—

118

C₂×#106

—

119

C₂×#106

#595

yes

characteristic

120

C₂×C₄⋊C₈

—

121

C₂×C₄⋊C₈

—

122

C₂×C₄×C₈

—

123

C₂×C₄×C₈

—

124

C₂×C₄×C₈

—

125

C₄×C₄⋊C₄

—

126

#340

—

127

#336

—

128

#335

—

129

#322

—

130

C₂×C₁₇

SD₁₆⋊C₈

yes

—

131

C₂×C₁₇

#1592

yes

—

132

C₂×C₁₇

#1939

yes

characteristic

133

C₂×C₁₇

#1944

yes

characteristic

134

C₂×C₁₇

#1946

yes

characteristic

135

C₂²×C₈

—

136

C₂²×C₈

—

137

C₂²×C₈

—

138

C₂²×C₈

—

139

C₂²×C₈

—

140

C₂²×C₈

C₂×#595

yes

characteristic

141

C₂×C₄⋊C₄

—

142

C₂×C₄⋊C₄

C₂×#595

yes

—

143

C₂×C₄²

—

144

C₂×C₄²

—

145

#106

—

146

#106

—

147

C₄⋊C₈

—

148

C₄⋊C₈

—

149

C₄⋊C₈

—

150

C₄×C₈

—

151

C₄×C₈

—

152

C₄×C₈

—

153

C₄×C₈

—

154

C₄×C₈

—

155

C₄×C₈

—

156

#95

—

157

C₁₇

#9596

yes

characteristic, complemented, Sylow

158

C₂²×C₄

—

159

C₂²×C₄

—

160

C₂²×C₄

—

161

C₂²×C₄

—

162

C₂²×C₄

C₂²×#595

yes

characteristic

163

C₂×C₈

—

164

C₂×C₈

—

165

C₂×C₈

—

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

C₂×C₈

—

175

C₂×C₈

#63242

yes

—

176

C₂×C₈

C₄⋊#595

yes

—

177

C₂×C₈

#63247

yes

—

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₄⋊C₄

—

182

C₄²

—

183

C₄²

—

184

C₄²

—

185

C₄²

—

186

C₄²

—

187

C₄²

—

188

C₂³

D₄×#595

yes

characteristic

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

—

194

C₂×C₄

—

195

C₂×C₄

—

196

C₂×C₄

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

C₂×#63242

yes

characteristic

203

C₂×C₄

C₂×C₄⋊#595

yes

characteristic

204

C₂×C₄

#10587678

yes

characteristic

205

C₂×C₄

#10587680

yes

characteristic

206

C₂×C₄

Q₈×#595

yes

characteristic

207

C₂×C₄

C₂×#63247

yes

characteristic

208

C₈

—

209

C₈

—

210

C₈

—

211

C₈

—

212

C₈

—

136

—

213

C₈

#10587544

yes

complemented

214

C₂²

#11763760

yes

characteristic

215

C₂²

#11763837

yes

characteristic

216

C₂²

#11763844

yes

characteristic

217

C₂²

#11763848

yes

—

218

C₂²

#11763854

yes

—

219

C₄

—

220

C₄

—

221

C₄

—

222

C₄

—

223

C₄

—

224

C₄

—

225

C₄

—

226

C₄

C₂×#10587544

yes

characteristic

227

C₄

#11763816

yes

characteristic

228

C₄

#11763858

yes

characteristic

229

C₄

#11763860

yes

characteristic

230

C₂

#14544376

yes

—

231

C₂

#14544427

yes

—

232

C₂

#14544882

yes

characteristic

233

C₂

#14544890

yes

characteristic

234

C₂

#14544894

yes

characteristic

	subgroup	G/H
center	C₂³	D₄×#595
commutator	C₂×C₄×C₁₇	C₂²×C₈
Frattini	C₂²×C₄	C₂²×#595
Fitting	C₂×C₁₇×#106	C₄
socle, prime radical	C₂³×C₁₇	C₄×D₄
cosocle	C₂×C₄×Dic₁₇	C₂³
hypercenter	C₂×#106	#595
hypocenter	C₁₇	#9596
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂×#106

subgroup

G/H

center

C₂³

D₄×#595

commutator

C₂×C₄×C₁₇

C₂²×C₈

Frattini

C₂²×C₄

C₂²×#595

Fitting

C₂×C₁₇×#106

C₄

socle, prime radical

C₂³×C₁₇

C₄×D₄

cosocle

C₂×C₄×Dic₁₇

C₂³

C₁₇

G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇

UCS

C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂×#106

N	H ≅ G/N	type
37. #10587488	C₈	semidirect
95. C₈×C₁₇	C₄⋊C₈	semidirect
157. C₁₇	#9596	semidirect
213. C₈	#10587544	semidirect

H ≅ G/N

type

37. #10587488

C₈

semidirect

95. C₈×C₁₇

C₄⋊C₈

semidirect

157. C₁₇

#9596

semidirect

213. C₈

#10587544

semidirect

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

subgroup	index
#14544882	2
C₂×#11763672	2
C₂×#11763650	2
#14543620	2
#106×Dic₁₇	2
#9596	17

subgroup

index

#106×Dic₁₇

Subgroups — #17955822

Conjugacy classes of subgroups

Complements

Maximal subgroups