Group #16934252 — subgroups

Subgroups — #16934252

Order 4352.

422 conjugacy classes of subgroups; only the 127 normal subgroups are shown.

normal subgroups only

This group has 422 conjugacy classes of subgroups — too many to draw. Only its 127 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	#14529762	C₂	1	2	yes	maximal
2	#14528529	C₂	1	1	yes	maximal, characteristic
3	#14527540	C₂	1	1	yes	maximal, characteristic
4	#14527239	C₂	1	2	yes	maximal
5	C₁₇×#3170	C₂	1	1	yes	maximal, characteristic
6	#11762833	C₂²	1	2	yes	—
7	C₂×C₄×#3622	C₂²	1	1	yes	characteristic
8	C₄²×Dic₁₇	C₂²	1	1	yes	characteristic
9	#11762568	—	2	4	no	—
10	#11762563	—	2	2	no	—
11	#11762560	—	2	2	no	—
12	Q₈⋊#3622	—	2	4	no	—
13	C₁₇×#533	C₂²	1	2	yes	—
14	C₁₇×#500	C₄	1	1	yes	characteristic, complemented
15	C₁₇×#494	C₄	1	1	yes	characteristic, complemented
16	C₁₇×#487	C₄	1	2	yes	complemented
17	C₁₇×#467	—	2	2	no	—
18	C₄×Q₁₆×C₁₇	—	2	2	no	—
19	C₂×C₄×C₈×C₁₇	C₂²	1	1	yes	characteristic
20	C₂×Q₁₆×C₁₇	—	2	2	no	—
21	C₂²×C₈×C₁₇	D₄	1	2	yes	—
22	C₁₇×C₄⋊Q₈	C₂×C₄	1	2	yes	—
23	C₁₇×C₄⋊Q₈	C₂×C₄	1	2	yes	—
24	C₁₇×#125	—	2	2	no	—
25	C₁₇×C₂²⋊Q₈	—	2	2	no	—
26	C₁₇×C₂²⋊Q₈	—	2	2	no	—
27	C₄×Q₈×C₁₇	—	2	2	no	—
28	C₄×Q₈×C₁₇	—	2	2	no	—
29	C₁₇×#117	—	2	2	no	—
30	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
31	C₂×C₄×Dic₁₇	—	2	1	no	—
32	C₂×C₄×Dic₁₇	—	2	1	no	—
33	C₂×C₄×Dic₁₇	D₄	1	2	yes	—
34	C₂×#63223	—	2	2	no	—
35	C₂²×#3622	—	2	1	no	—
36	C₁₇×#107	—	2	2	no	—
37	C₁₇×#103	—	2	4	no	—
38	C₄×C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
39	C₄×C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
40	C₄×C₈×C₁₇	D₄	1	2	yes	—
41	C₄⋊#3622	—	2	2	no	—
42	C₄⋊#3622	—	2	2	no	—
43	C₄×#3622	—	2	1	no	—
44	C₄×#3622	D₄	1	2	yes	—
45	C₂×Q₈×C₁₇	—	2	2	no	—
46	C₂×Q₈×C₁₇	—	2	2	no	—
47	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
48	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
49	C₂²×C₄×C₁₇	#41	1	1	yes	characteristic
50	C₂²×Dic₁₇	—	2	2	no	—
51	Q₁₆×C₁₇	—	4	4	no	—
52	C₂×C₈×C₁₇	—	4	2	no	—
53	C₂×C₈×C₁₇	C₂²⋊C₄	1	2	yes	—
54	C₂×C₈×C₁₇	C₂²⋊C₄	1	2	yes	—
55	C₄⋊C₄×C₁₇	—	2	2	no	—
56	C₄⋊C₄×C₁₇	—	2	2	no	—
57	C₄⋊C₄×C₁₇	—	2	2	no	—
58	C₄⋊C₄×C₁₇	—	2	2	no	—
59	C₄⋊C₄×C₁₇	—	4	2	no	—
60	C₄⋊C₄×C₁₇	—	4	2	no	—
61	C₂²⋊C₄×C₁₇	—	4	2	no	—
62	C₄²×C₁₇	—	4	2	no	—
63	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
64	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
65	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
66	C₄²×C₁₇	#41	1	1	yes	characteristic
67	C₄×Dic₁₇	—	2	4	no	—
68	C₄×Dic₁₇	—	2	4	no	—
69	C₄×Dic₁₇	—	4	2	no	—
70	#63223	—	4	4	no	—
71	C₂×#3622	—	2	2	no	—
72	C₂×#3622	—	4	2	no	—
73	C₂×#3622	—	4	2	no	—
74	#9853	—	17	1	no	maximal, Sylow
75	C₂³×C₁₇	#121	1	1	yes	characteristic
76	Q₈×C₁₇	—	4	4	no	—
77	Q₈×C₁₇	—	4	4	no	—
78	C₂×C₄×C₁₇	—	2	2	no	—
79	C₂×C₄×C₁₇	—	2	2	no	—
80	C₂×C₄×C₁₇	—	4	2	no	—
81	C₂×C₄×C₁₇	—	4	2	no	—
82	C₂×C₄×C₁₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
83	C₂×C₄×C₁₇	C₄×D₄	1	1	yes	characteristic
84	C₂×C₄×C₁₇	C₄×D₄	1	1	yes	characteristic
85	C₂×C₄×C₁₇	#121	1	1	yes	characteristic
86	C₂×C₄×C₁₇	#124	1	1	yes	characteristic
87	C₂×C₄×C₁₇	#127	1	1	yes	characteristic
88	C₂×C₄×C₁₇	#137	1	4	yes	—
89	C₂×Dic₁₇	—	2	4	no	—
90	C₂×Dic₁₇	—	4	2	no	—
91	C₂×Dic₁₇	—	4	2	no	—
92	C₈×C₁₇	—	2	2	no	—
93	C₈×C₁₇	—	2	2	no	—
94	#3622	—	4	2	no	—
95	#3622	—	8	2	no	—
96	#3170	D₁₇	1	1	yes	characteristic
97	#1994	—	17	2	no	—
98	#1744	—	17	1	no	—
99	#1566	—	17	1	no	—
100	#1493	—	17	2	no	—
101	C₂²×C₁₇	—	2	1	no	—
102	C₂²×C₁₇	—	2	1	no	—
103	C₂²×C₁₇	#390	1	1	yes	characteristic
104	C₂²×C₁₇	#470	1	2	yes	—
105	C₄×C₁₇	—	2	1	no	—
106	C₄×C₁₇	—	2	1	no	—
107	C₄×C₁₇	—	8	2	no	—
108	C₄×C₁₇	—	8	2	no	—
109	C₄×C₁₇	#421	1	2	yes	—
110	C₄×C₁₇	#441	1	2	yes	—
111	C₄×C₁₇	#443	1	2	yes	—
112	C₄×C₁₇	#497	1	2	yes	—
113	Dic₁₇	—	4	4	no	—
114	#533	C₂×D₁₇	1	2	yes	—
115	#500	Dic₁₇	1	1	yes	characteristic, complemented
116	#494	Dic₁₇	1	1	yes	characteristic, complemented
117	#487	Dic₁₇	1	2	yes	complemented
118	#467	—	2	2	no	—
119	C₄×Q₁₆	—	2	2	no	—
120	#423	—	17	2	no	—
121	C₂×C₄×C₈	—	17	1	no	—
122	C₂×C₄×C₈	C₂×D₁₇	1	1	yes	characteristic
123	C₄³	—	17	1	no	—
124	#339	—	34	4	no	—
125	#336	—	34	2	no	—
126	#334	—	34	2	no	—
127	Q₈⋊C₈	—	34	4	no	—
128	C₂×C₁₇	—	2	2	no	—
129	C₂×C₁₇	#1963	1	1	yes	characteristic
130	C₂×C₁₇	#1971	1	1	yes	characteristic
131	C₂×C₁₇	#1974	1	1	yes	characteristic
132	C₂×Q₁₆	—	2	2	no	—
133	C₂×M₁₆	—	34	2	no	—
134	C₂²×C₈	—	34	1	no	—
135	C₂²×C₈	C₂²⋊D₁₇	1	2	yes	—
136	C₄⋊Q₈	C₂×Dic₁₇	1	2	yes	—
137	C₄⋊Q₈	C₂×Dic₁₇	1	2	yes	—
138	#125	—	2	2	no	—
139	C₂²⋊Q₈	—	2	2	no	—
140	C₂²⋊Q₈	—	2	2	no	—
141	C₄×Q₈	—	2	2	no	—
142	C₄×Q₈	—	2	2	no	—
143	#117	—	2	2	no	—
144	C₂×C₄²	—	17	2	no	—
145	C₂×C₄²	—	34	1	no	—
146	C₂×C₄²	—	34	1	no	—
147	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
148	#107	—	2	2	no	—
149	C₄⋊C₈	—	34	2	no	—
150	C₄⋊C₈	—	34	2	no	—
151	#103	—	2	4	no	—
152	C₄×C₈	—	17	2	no	—
153	C₄×C₈	—	34	1	no	—
154	C₄×C₈	C₂×Dic₁₇	1	1	yes	characteristic
155	C₄×C₈	C₂×Dic₁₇	1	1	yes	characteristic
156	C₄×C₈	C₂²⋊D₁₇	1	2	yes	—
157	C₁₇	#9853	1	1	yes	characteristic, complemented, Sylow
158	C₂×Q₈	—	2	2	no	—
159	C₂×Q₈	—	2	2	no	—
160	C₂²×C₄	—	34	2	no	—
161	C₂²×C₄	D₄×D₁₇	1	1	yes	characteristic
162	C₂²×C₄	#63254	1	1	yes	characteristic
163	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
164	Q₁₆	—	4	4	no	—
165	M₁₆	—	68	4	no	—
166	C₂×C₈	—	4	2	no	—
167	C₂×C₈	—	34	2	no	—
168	C₂×C₈	—	68	2	no	—
169	C₂×C₈	—	68	2	no	—
170	C₂×C₈	C₂²⋊Dic₁₇	1	2	yes	—
171	C₂×C₈	C₂²⋊Dic₁₇	1	2	yes	—
172	C₄⋊C₄	—	2	2	no	—
173	C₄⋊C₄	—	2	2	no	—
174	C₄⋊C₄	—	2	2	no	—
175	C₄⋊C₄	—	2	2	no	—
176	C₄⋊C₄	—	4	2	no	—
177	C₄⋊C₄	—	4	2	no	—
178	C₂²⋊C₄	—	4	2	no	—
179	C₄²	—	4	2	no	—
180	C₄²	—	34	4	no	—
181	C₄²	—	34	4	no	—
182	C₄²	—	68	2	no	—
183	C₄²	D₄×D₁₇	1	1	yes	characteristic
184	C₄²	#63254	1	1	yes	characteristic
185	C₄²	C₂²×Dic₁₇	1	1	yes	characteristic
186	C₄²	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
187	C₂³	#10587624	1	1	yes	characteristic
188	Q₈	—	4	4	no	—
189	Q₈	—	4	4	no	—
190	C₂×C₄	—	2	2	no	—
191	C₂×C₄	—	2	2	no	—
192	C₂×C₄	—	4	2	no	—
193	C₂×C₄	—	4	2	no	—
194	C₂×C₄	—	34	4	no	—
195	C₂×C₄	—	68	2	no	—
196	C₂×C₄	—	68	2	no	—
197	C₂×C₄	#10587604	1	4	yes	—
198	C₂×C₄	D₄×Dic₁₇	1	1	yes	characteristic
199	C₂×C₄	D₄×Dic₁₇	1	1	yes	characteristic
200	C₂×C₄	#10587622	1	1	yes	characteristic
201	C₂×C₄	#10587624	1	1	yes	characteristic
202	C₂×C₄	#10587626	1	1	yes	characteristic
203	C₂×C₄	C₂×C₂²⋊Dic₁₇	1	1	yes	characteristic
204	C₈	—	2	2	no	—
205	C₈	—	2	2	no	—
206	C₈	—	68	2	no	—
207	C₈	—	136	2	no	—
208	C₂²	—	2	1	no	—
209	C₂²	—	2	1	no	—
210	C₂²	#11762712	1	1	yes	characteristic
211	C₂²	#11763064	1	2	yes	—
212	C₄	—	2	1	no	—
213	C₄	—	2	1	no	—
214	C₄	—	8	2	no	—
215	C₄	—	8	2	no	—
216	C₄	—	68	4	no	—
217	C₄	#11762826	1	2	yes	—
218	C₄	#11762916	1	2	yes	—
219	C₄	#11762926	1	2	yes	—
220	C₄	#11763202	1	2	yes	—
221	C₂	—	2	2	no	—
222	C₂	#14529617	1	1	yes	characteristic
223	C₂	#14529656	1	1	yes	characteristic
224	C₂	#14529673	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14529762

C₂

yes

maximal

#14528529

C₂

yes

maximal, characteristic

#14527540

C₂

yes

maximal, characteristic

#14527239

C₂

yes

maximal

C₁₇×#3170

C₂

yes

maximal, characteristic

#11762833

C₂²

yes

—

C₂×C₄×#3622

C₂²

yes

characteristic

C₄²×Dic₁₇

C₂²

yes

—

—

—

—

C₁₇×#533

C₂²

yes

—

C₁₇×#500

C₄

yes

characteristic, complemented

C₁₇×#494

C₄

yes

characteristic, complemented

C₁₇×#487

C₄

yes

complemented

C₁₇×#467

—

C₄×Q₁₆×C₁₇

—

C₂×C₄×C₈×C₁₇

C₂²

yes

characteristic

C₂×Q₁₆×C₁₇

—

C₂²×C₈×C₁₇

D₄

yes

—

C₁₇×C₄⋊Q₈

C₂×C₄

yes

—

C₁₇×C₄⋊Q₈

C₂×C₄

yes

—

C₁₇×#125

—

C₁₇×C₂²⋊Q₈

—

C₁₇×C₂²⋊Q₈

—

C₄×Q₈×C₁₇

—

C₄×Q₈×C₁₇

—

C₁₇×#117

—

C₂×C₄²×C₁₇

C₂³

yes

characteristic

C₂×C₄×Dic₁₇

—

C₂×C₄×Dic₁₇

—

C₂×C₄×Dic₁₇

D₄

yes

—

C₂×#63223

—

C₂²×#3622

—

C₁₇×#107

—

C₁₇×#103

—

C₄×C₈×C₁₇

C₂×C₄

yes

characteristic

C₄×C₈×C₁₇

C₂×C₄

yes

characteristic

C₄×C₈×C₁₇

D₄

yes

—

—

—

—

D₄

yes

—

C₂×Q₈×C₁₇

—

C₂×Q₈×C₁₇

—

C₂²×C₄×C₁₇

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₇

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₇

#41

yes

characteristic

C₂²×Dic₁₇

—

Q₁₆×C₁₇

—

C₂×C₈×C₁₇

—

C₂×C₈×C₁₇

C₂²⋊C₄

yes

—

C₂×C₈×C₁₇

C₂²⋊C₄

yes

—

C₄⋊C₄×C₁₇

—

C₄⋊C₄×C₁₇

—

C₄⋊C₄×C₁₇

—

C₄⋊C₄×C₁₇

—

C₄⋊C₄×C₁₇

—

C₄⋊C₄×C₁₇

—

C₂²⋊C₄×C₁₇

—

C₄²×C₁₇

—

C₄²×C₁₇

C₂²×C₄

yes

characteristic

C₄²×C₁₇

C₂×D₄

yes

characteristic

C₄²×C₁₇

C₂×D₄

yes

characteristic

C₄²×C₁₇

#41

yes

characteristic

C₄×Dic₁₇

—

C₄×Dic₁₇

—

C₄×Dic₁₇

—

—

—

—

—

—

C₂³×C₁₇

yes

Q₈×C₁₇

—

Q₈×C₁₇

—

C₂×C₄×C₁₇

—

C₂×C₄×C₁₇

—

C₂×C₄×C₁₇

—

C₂×C₄×C₁₇

—

C₂×C₄×C₁₇

C₂×C₂²⋊C₄

yes

characteristic

C₂×C₄×C₁₇

C₄×D₄

yes

characteristic

C₂×C₄×C₁₇

C₄×D₄

yes

C₂×C₄×C₁₇

yes

C₂×C₄×C₁₇

yes

C₂×C₄×C₁₇

yes

C₂×C₄×C₁₇

yes

—

C₂×Dic₁₇

—

C₂×Dic₁₇

—

C₂×Dic₁₇

—

C₈×C₁₇

—

C₈×C₁₇

—

#3622

—

#3622

—

#3170

D₁₇

yes

—

—

—

100

#1493

—

101

C₂²×C₁₇

—

102

C₂²×C₁₇

—

103

C₂²×C₁₇

#390

yes

characteristic

104

C₂²×C₁₇

#470

yes

—

105

C₄×C₁₇

—

106

C₄×C₁₇

—

107

C₄×C₁₇

—

108

C₄×C₁₇

—

109

C₄×C₁₇

#421

yes

—

110

C₄×C₁₇

#441

yes

—

111

C₄×C₁₇

#443

yes

—

112

C₄×C₁₇

#497

yes

—

113

Dic₁₇

—

114

#533

C₂×D₁₇

yes

—

115

#500

Dic₁₇

yes

characteristic, complemented

116

#494

Dic₁₇

yes

characteristic, complemented

117

#487

Dic₁₇

yes

complemented

118

#467

—

119

C₄×Q₁₆

—

120

#423

—

121

C₂×C₄×C₈

—

122

C₂×C₄×C₈

C₂×D₁₇

yes

characteristic

123

C₄³

—

124

#339

—

125

#336

—

126

#334

—

127

Q₈⋊C₈

—

128

C₂×C₁₇

—

129

C₂×C₁₇

#1963

yes

characteristic

130

C₂×C₁₇

#1971

yes

characteristic

131

C₂×C₁₇

#1974

yes

characteristic

132

C₂×Q₁₆

—

133

C₂×M₁₆

—

134

C₂²×C₈

—

135

C₂²×C₈

C₂²⋊D₁₇

yes

—

136

C₄⋊Q₈

C₂×Dic₁₇

yes

—

137

C₄⋊Q₈

C₂×Dic₁₇

yes

—

138

#125

—

139

C₂²⋊Q₈

—

140

C₂²⋊Q₈

—

141

C₄×Q₈

—

142

C₄×Q₈

—

143

#117

—

144

C₂×C₄²

—

145

C₂×C₄²

—

146

C₂×C₄²

—

147

C₂×C₄²

C₂²×D₁₇

yes

characteristic

148

#107

—

149

C₄⋊C₈

—

150

C₄⋊C₈

—

151

#103

—

152

C₄×C₈

—

153

C₄×C₈

—

154

C₄×C₈

C₂×Dic₁₇

yes

characteristic

155

C₄×C₈

C₂×Dic₁₇

yes

characteristic

156

C₄×C₈

C₂²⋊D₁₇

yes

—

157

C₁₇

#9853

yes

characteristic, complemented, Sylow

158

C₂×Q₈

—

159

C₂×Q₈

—

160

C₂²×C₄

—

161

C₂²×C₄

D₄×D₁₇

yes

characteristic

162

C₂²×C₄

#63254

yes

characteristic

163

C₂²×C₄

C₂×C₂²⋊D₁₇

yes

characteristic

164

Q₁₆

—

165

M₁₆

—

166

C₂×C₈

—

167

C₂×C₈

—

168

C₂×C₈

—

169

C₂×C₈

—

170

C₂×C₈

C₂²⋊Dic₁₇

yes

—

171

C₂×C₈

C₂²⋊Dic₁₇

yes

—

172

C₄⋊C₄

—

173

C₄⋊C₄

—

174

C₄⋊C₄

—

175

C₄⋊C₄

—

176

C₄⋊C₄

—

177

C₄⋊C₄

—

178

C₂²⋊C₄

—

179

C₄²

—

180

C₄²

—

181

C₄²

—

182

C₄²

—

183

C₄²

D₄×D₁₇

yes

characteristic

184

C₄²

#63254

yes

characteristic

185

C₄²

C₂²×Dic₁₇

yes

characteristic

186

C₄²

C₂×C₂²⋊D₁₇

yes

characteristic

187

C₂³

#10587624

yes

characteristic

188

Q₈

—

189

Q₈

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

—

194

C₂×C₄

—

195

C₂×C₄

—

196

C₂×C₄

—

197

C₂×C₄

#10587604

yes

—

198

C₂×C₄

D₄×Dic₁₇

yes

characteristic

199

C₂×C₄

D₄×Dic₁₇

yes

characteristic

200

C₂×C₄

#10587622

yes

characteristic

201

C₂×C₄

#10587624

yes

characteristic

202

C₂×C₄

#10587626

yes

characteristic

203

C₂×C₄

C₂×C₂²⋊Dic₁₇

yes

characteristic

204

C₈

—

205

C₈

—

206

C₈

—

207

C₈

—

136

—

208

C₂²

—

209

C₂²

—

210

C₂²

#11762712

yes

characteristic

211

C₂²

#11763064

yes

—

212

C₄

—

213

C₄

—

214

C₄

—

215

C₄

—

216

C₄

—

217

C₄

#11762826

yes

—

218

C₄

#11762916

yes

—

219

C₄

#11762926

yes

—

220

C₄

#11763202

yes

—

221

C₂

—

222

C₂

#14529617

yes

characteristic

223

C₂

#14529656

yes

characteristic

224

C₂

#14529673

yes

characteristic

	subgroup	G/H
center	C₂×C₄	#10587626
commutator	C₄²×C₁₇	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₇
Fitting	C₁₇×#3170	C₂
socle	C₂²×C₁₇	#390
prime radical	C₂³×C₁₇	#121
cosocle	C₂×C₄²×C₁₇	C₂³
hypercenter	#3170	D₁₇
hypocenter	C₁₇	#9853
LCS	G ▷ C₄²×C₁₇ ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3170

subgroup

G/H

center

C₂×C₄

#10587626

commutator

C₄²×C₁₇

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₁₇

Fitting

C₁₇×#3170

C₂

C₂²×C₁₇

C₂³×C₁₇

C₂×C₄²×C₁₇

C₂³

D₁₇

C₁₇

G ▷ C₄²×C₁₇ ▷ C₂²×C₁₇ ▷ C₁₇

UCS

C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3170

N	H ≅ G/N	type
14. C₁₇×#500	C₄	semidirect
15. C₁₇×#494	C₄	semidirect
16. C₁₇×#487	C₄	semidirect
115. #500	Dic₁₇	semidirect
116. #494	Dic₁₇	semidirect
117. #487	Dic₁₇	semidirect
157. C₁₇	#9853	semidirect

H ≅ G/N

type

14. C₁₇×#500

C₄

semidirect

15. C₁₇×#494

C₄

semidirect

16. C₁₇×#487

C₄

semidirect

115. #500

Dic₁₇

semidirect

116. #494

Dic₁₇

semidirect

117. #487

Dic₁₇

semidirect

157. C₁₇

#9853

semidirect

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

subgroup	index
#14529762	2
#14528529	2
#14527540	2
#14527239	2
C₁₇×#3170	2
#9853	17

subgroup

index

C₁₇×#3170

Subgroups — #16934252

Conjugacy classes of subgroups

Complements

Maximal subgroups