Group #14541709 — subgroups

Subgroups — #14541709

Order 2176.

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

normal subgroups only

This group has 360 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	#11763534	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×Dic₃₄	C₂	1	1	yes	maximal, characteristic
3	#11763217	C₂	1	2	yes	maximal, complemented
4	#11763212	C₂	1	1	yes	maximal, characteristic, complemented
5	#11763111	C₂	1	2	yes	maximal
6	#11763103	C₂	1	2	yes	maximal, complemented
7	#11763095	C₂	1	1	yes	maximal, characteristic, complemented
8	#11762936	C₂	1	1	yes	maximal, characteristic, complemented
9	#11762906	C₂	1	2	yes	maximal
10	C₄×#63229	C₂	1	1	yes	maximal, characteristic
11	C₁₇×#474	C₂	1	1	yes	maximal, characteristic
12	C₂²×Dic₃₄	—	2	1	no	—
13	C₁₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
14	C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
15	Q₈×Dic₁₇	—	2	1	no	—
16	#10587630	—	2	1	no	—
17	D₄×Dic₁₇	C₂²	1	2	yes	—
18	C₂×#63229	C₂²	1	1	yes	characteristic
19	#10587610	—	2	1	no	—
20	#10587576	C₂²	1	2	yes	—
21	#10587575	—	2	2	no	—
22	#10587574	C₂²	1	2	yes	—
23	#10587573	C₂²	1	2	yes	—
24	#10587564	—	2	2	no	—
25	#10587555	C₂²	1	1	yes	characteristic
26	C₄×Dic₃₄	C₂²	1	1	yes	characteristic
27	C₄×Dic₃₄	C₂²	1	1	yes	characteristic
28	C₁₇×#107	C₂²	1	2	yes	—
29	C₁₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
30	C₁₇×#102	C₂²	1	2	yes	—
31	#10587503	C₂²	1	1	yes	characteristic
32	#10587488	C₂²	1	2	yes	—
33	#10587487	C₂²	1	2	yes	—
34	#10587486	C₂²	1	2	yes	—
35	#10587485	C₂²	1	2	yes	—
36	#10587481	C₂²	1	1	yes	characteristic
37	#10587479	C₂²	1	1	yes	characteristic
38	#10587478	C₂²	1	2	yes	—
39	#10587478	C₂²	1	2	yes	—
40	C₄×#3622	C₂²	1	1	yes	characteristic
41	C₂×Q₈×C₁₇	—	2	1	no	—
42	C₂×D₄×C₁₇	C₂³	1	1	yes	characteristic
43	C₂²×C₄×C₁₇	—	2	1	no	—
44	C₂²×Dic₁₇	—	2	2	no	—
45	C₂×Dic₃₄	—	2	1	no	—
46	C₂×Dic₃₄	—	2	2	no	—
47	C₂×Dic₃₄	—	4	4	no	—
48	C₂×Dic₃₄	D₄	1	1	yes	characteristic
49	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
50	C₂×C₈×C₁₇	C₂³	1	2	yes	—
51	C₄⋊C₄×C₁₇	—	2	1	no	—
52	C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
53	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
54	C₂²⋊C₄×C₁₇	—	2	1	no	—
55	C₄²×C₁₇	C₂³	1	1	yes	characteristic
56	C₂²⋊Dic₁₇	—	2	2	no	—
57	#63229	Q₈	1	4	yes	complemented
58	C₄⋊Dic₁₇	—	2	1	no	—
59	C₄⋊Dic₁₇	—	2	2	no	—
60	C₄⋊Dic₁₇	D₄	1	1	yes	characteristic
61	C₄⋊Dic₁₇	C₂³	1	2	yes	—
62	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
63	#63225	—	2	1	no	—
64	#63225	—	2	2	no	—
65	#63225	—	2	2	no	—
66	#63225	—	2	2	no	—
67	#63225	D₄	1	2	yes	—
68	C₄×Dic₁₇	—	2	1	no	—
69	C₄×Dic₁₇	—	2	2	no	—
70	C₄×Dic₁₇	C₂³	1	2	yes	—
71	C₂×#3622	C₂³	1	1	yes	characteristic
72	C₂×#3622	C₂³	1	1	yes	characteristic
73	C₂³×C₁₇	—	2	1	no	—
74	Q₈×C₁₇	—	4	2	no	—
75	D₄×C₁₇	—	2	1	no	—
76	D₄×C₁₇	C₂×Q₈	1	2	yes	—
77	C₂×C₄×C₁₇	—	2	1	no	—
78	C₂×C₄×C₁₇	—	2	2	no	—
79	C₂×C₄×C₁₇	—	4	2	no	—
80	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
81	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
82	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
83	C₂×Dic₁₇	—	2	1	no	—
84	C₂×Dic₁₇	—	2	2	no	—
85	C₂×Dic₁₇	—	2	1	no	—
86	C₂×Dic₁₇	—	4	4	no	—
87	C₂×Dic₁₇	C₂×D₄	1	2	yes	—
88	C₂×Dic₁₇	C₂×D₄	1	2	yes	—
89	Dic₃₄	—	2	2	no	—
90	Dic₃₄	—	2	1	no	—
91	Dic₃₄	—	4	4	no	—
92	Dic₃₄	—	4	2	no	—
93	Dic₃₄	C₂×Q₈	1	2	yes	complemented
94	C₈×C₁₇	—	2	2	no	—
95	#3622	—	2	1	no	—
96	#3622	C₂×Q₈	1	2	yes	complemented
97	#3386	—	17	1	no	maximal, Sylow
98	C₂²×C₁₇	—	2	2	no	—
99	C₂²×C₁₇	—	4	1	no	—
100	C₂²×C₁₇	—	4	1	no	—
101	C₂²×C₁₇	C₂²×D₄	1	1	yes	characteristic
102	C₄×C₁₇	—	2	1	no	—
103	C₄×C₁₇	—	4	1	no	—
104	C₄×C₁₇	—	4	2	no	—
105	C₄×C₁₇	AGL(1,ℤ/8)	1	2	yes	—
106	C₄×C₁₇	C₂²×Q₈	1	1	yes	characteristic
107	C₄×C₁₇	2₋¹⁺⁴	1	1	yes	characteristic
108	Dic₁₇	—	2	2	no	—
109	Dic₁₇	—	2	2	no	—
110	Dic₁₇	—	2	2	no	—
111	Dic₁₇	—	4	2	no	—
112	Dic₁₇	—	4	1	no	—
113	#557	—	17	1	no	—
114	D₄×Q₈	—	17	1	no	—
115	#501	—	17	2	no	—
116	#500	—	17	1	no	—
117	#478	—	17	2	no	—
118	#477	—	17	2	no	—
119	#475	—	17	1	no	—
120	#474	D₁₇	1	1	yes	characteristic
121	#446	—	17	1	no	—
122	#440	—	17	2	no	—
123	C₄×SD₁₆	—	17	1	no	—
124	C₂×C₁₇	—	4	2	no	—
125	C₂×C₁₇	D₄×Q₈	1	1	yes	characteristic
126	C₂×C₁₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
127	C₂×C₁₇	#578	1	1	yes	characteristic
128	C₂²×Q₈	—	34	1	no	—
129	C₂×SD₁₆	—	17	1	no	—
130	C₄⋊Q₈	—	17	2	no	—
131	C₄⋊Q₈	—	17	1	no	—
132	C₄⋊Q₈	—	34	1	no	—
133	C₄⋊Q₈	C₂×D₁₇	1	1	yes	characteristic
134	#125	—	17	2	no	—
135	#125	—	34	2	no	—
136	C₂²⋊Q₈	—	34	2	no	—
137	C₂²⋊Q₈	—	34	1	no	—
138	C₄×Q₈	—	17	1	no	—
139	C₄×Q₈	—	17	2	no	—
140	C₄×Q₈	—	17	1	no	—
141	C₄×Q₈	—	34	1	no	—
142	C₄×D₄	—	17	2	no	—
143	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic
144	#107	—	17	2	no	—
145	#107	—	17	2	no	—
146	#107	C₂×D₁₇	1	2	yes	—
147	#106	—	17	2	no	—
148	#106	—	17	1	no	—
149	C₄⋊C₈	—	17	2	no	—
150	C₄⋊C₈	C₂×D₁₇	1	1	yes	characteristic
151	#103	—	17	2	no	—
152	#103	—	17	1	no	—
153	#102	—	17	1	no	—
154	#102	C₂×D₁₇	1	2	yes	—
155	#97	—	17	2	no	—
156	C₄×C₈	—	17	1	no	—
157	C₁₇	#3386	1	1	yes	characteristic, complemented, Sylow
158	C₂×Q₈	—	2	1	no	—
159	C₂×Q₈	—	17	1	no	—
160	C₂×Q₈	—	17	1	no	—
161	C₂×Q₈	—	34	2	no	—
162	C₂×Q₈	—	34	1	no	—
163	C₂×Q₈	—	68	4	no	—
164	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
165	C₂²×C₄	—	2	1	no	—
166	C₂²×C₄	—	34	2	no	—
167	SD₁₆	—	17	4	no	—
168	C₂×C₈	—	17	1	no	—
169	C₂×C₈	—	17	1	no	—
170	C₂×C₈	C₂²×D₁₇	1	2	yes	—
171	C₄⋊C₄	—	2	1	no	—
172	C₄⋊C₄	—	17	1	no	—
173	C₄⋊C₄	—	17	2	no	—
174	C₄⋊C₄	—	17	1	no	—
175	C₄⋊C₄	—	17	2	no	—
176	C₄⋊C₄	—	34	2	no	—
177	C₄⋊C₄	—	34	2	no	—
178	C₄⋊C₄	—	34	2	no	—
179	C₄⋊C₄	—	34	2	no	—
180	C₄⋊C₄	—	34	1	no	—
181	C₄⋊C₄	—	34	1	no	—
182	C₄⋊C₄	C₂²×D₁₇	1	2	yes	—
183	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
184	C₂²⋊C₄	—	2	1	no	—
185	C₂²⋊C₄	—	34	2	no	—
186	C₄²	—	17	2	no	—
187	C₄²	—	34	2	no	—
188	C₄²	—	34	1	no	—
189	C₄²	C₂²×D₁₇	1	1	yes	characteristic
190	C₂³	—	2	1	no	—
191	Q₈	—	4	2	no	—
192	Q₈	—	17	2	no	—
193	Q₈	—	34	1	no	—
194	Q₈	—	34	2	no	—
195	Q₈	—	68	4	no	—
196	Q₈	—	68	2	no	—
197	D₄	—	2	1	no	—
198	D₄	Q₈×D₁₇	1	2	yes	—
199	C₂×C₄	—	2	2	no	—
200	C₂×C₄	—	2	1	no	—
201	C₂×C₄	—	4	2	no	—
202	C₂×C₄	—	17	2	no	—
203	C₂×C₄	—	17	2	no	—
204	C₂×C₄	—	34	1	no	—
205	C₂×C₄	—	34	1	no	—
206	C₂×C₄	—	34	2	no	—
207	C₂×C₄	—	68	4	no	—
208	C₂×C₄	D₄×D₁₇	1	1	yes	characteristic
209	C₂×C₄	D₄×D₁₇	1	1	yes	characteristic
210	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
211	C₈	—	2	2	no	—
212	C₈	—	17	2	no	—
213	C₈	—	34	1	no	—
214	C₂²	—	2	2	no	—
215	C₂²	—	4	1	no	—
216	C₂²	—	4	1	no	—
217	C₂²	C₂×D₄×D₁₇	1	1	yes	characteristic
218	C₄	—	2	1	no	—
219	C₄	—	4	1	no	—
220	C₄	—	4	2	no	—
221	C₄	—	34	2	no	—
222	C₄	—	34	2	no	—
223	C₄	—	34	2	no	—
224	C₄	—	68	2	no	—
225	C₄	—	68	1	no	—
226	C₄	#10587597	1	2	yes	—
227	C₄	C₂×Q₈×D₁₇	1	1	yes	characteristic
228	C₄	#10587697	1	1	yes	characteristic
229	C₂	—	4	2	no	—
230	C₂	#11763472	1	1	yes	characteristic
231	C₂	C₂×#10587597	1	1	yes	characteristic
232	C₂	#11763625	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#11763534

C₂

yes

maximal, characteristic, complemented

D₄×Dic₃₄

C₂

yes

maximal, characteristic

#11763217

C₂

yes

maximal, complemented

#11763212

C₂

yes

maximal, characteristic, complemented

#11763111

C₂

yes

maximal

#11763103

C₂

yes

maximal, complemented

#11763095

C₂

yes

maximal, characteristic, complemented

#11762936

C₂

yes

maximal, characteristic, complemented

#11762906

C₂

yes

maximal

C₄×#63229

C₂

yes

maximal, characteristic

C₁₇×#474

C₂

yes

maximal, characteristic

C₂²×Dic₃₄

—

C₁₇×C₄⋊Q₈

C₂²

yes

characteristic

C₄×D₄×C₁₇

C₂²

yes

characteristic

Q₈×Dic₁₇

—

#10587630

—

D₄×Dic₁₇

C₂²

yes

—

C₂×#63229

C₂²

yes

characteristic

#10587610

—

#10587576

C₂²

yes

—

#10587575

—

#10587574

C₂²

yes

—

#10587573

C₂²

yes

—

#10587564

—

#10587555

C₂²

yes

characteristic

C₄×Dic₃₄

C₂²

yes

characteristic

C₄×Dic₃₄

C₂²

yes

characteristic

C₁₇×#107

C₂²

yes

—

C₁₇×C₄⋊C₈

C₂²

yes

characteristic

C₁₇×#102

C₂²

yes

—

#10587503

C₂²

yes

characteristic

#10587488

C₂²

yes

—

#10587487

C₂²

yes

—

#10587486

C₂²

yes

—

#10587485

C₂²

yes

—

#10587481

C₂²

yes

characteristic

#10587479

C₂²

yes

characteristic

#10587478

C₂²

yes

—

#10587478

C₂²

yes

—

C₄×#3622

C₂²

yes

characteristic

C₂×Q₈×C₁₇

—

C₂×D₄×C₁₇

C₂³

yes

characteristic

C₂²×C₄×C₁₇

—

C₂²×Dic₁₇

—

C₂×Dic₃₄

—

C₂×Dic₃₄

—

C₂×Dic₃₄

—

C₂×Dic₃₄

D₄

yes

characteristic

C₂×Dic₃₄

C₂³

yes

characteristic

C₂×C₈×C₁₇

C₂³

yes

—

C₄⋊C₄×C₁₇

—

C₄⋊C₄×C₁₇

C₂³

yes

—

C₄⋊C₄×C₁₇

C₂³

yes

characteristic

C₂²⋊C₄×C₁₇

—

C₄²×C₁₇

C₂³

yes

characteristic

C₂²⋊Dic₁₇

—

#63229

Q₈

yes

complemented

C₄⋊Dic₁₇

—

C₄⋊Dic₁₇

—

C₄⋊Dic₁₇

D₄

yes

characteristic

C₄⋊Dic₁₇

C₂³

yes

—

C₄⋊Dic₁₇

C₂³

yes

—

—

—

—

D₄

yes

—

C₄×Dic₁₇

—

C₄×Dic₁₇

—

C₄×Dic₁₇

C₂³

yes

—

C₂×#3622

C₂³

yes

characteristic

C₂×#3622

C₂³

yes

characteristic

C₂³×C₁₇

—

Q₈×C₁₇

—

D₄×C₁₇

—

D₄×C₁₇

C₂×Q₈

yes

—

C₂×C₄×C₁₇

—

C₂×C₄×C₁₇

—

C₂×C₄×C₁₇

—

C₂×C₄×C₁₇

C₂×D₄

yes

characteristic

C₂×C₄×C₁₇

C₂×D₄

yes

characteristic

C₂×C₄×C₁₇

C₂⁴

yes

characteristic

C₂×Dic₁₇

—

C₂×Dic₁₇

—

C₂×Dic₁₇

—

C₂×Dic₁₇

—

C₂×Dic₁₇

C₂×D₄

yes

—

C₂×Dic₁₇

C₂×D₄

yes

—

Dic₃₄

—

Dic₃₄

—

Dic₃₄

—

Dic₃₄

—

Dic₃₄

C₂×Q₈

yes

complemented

C₈×C₁₇

—

#3622

—

#3622

C₂×Q₈

yes

complemented

#3386

—

maximal, Sylow

C₂²×C₁₇

—

C₂²×C₁₇

—

100

C₂²×C₁₇

—

101

C₂²×C₁₇

C₂²×D₄

yes

characteristic

102

C₄×C₁₇

—

103

C₄×C₁₇

—

104

C₄×C₁₇

—

105

C₄×C₁₇

AGL(1,ℤ/8)

yes

—

106

C₄×C₁₇

C₂²×Q₈

yes

characteristic

107

C₄×C₁₇

2₋¹⁺⁴

yes

characteristic

108

Dic₁₇

—

109

Dic₁₇

—

110

Dic₁₇

—

111

Dic₁₇

—

112

Dic₁₇

—

113

#557

—

114

D₄×Q₈

—

115

#501

—

116

#500

—

117

#478

—

118

#477

—

119

#475

—

120

#474

D₁₇

yes

characteristic

121

#446

—

122

#440

—

123

C₄×SD₁₆

—

124

C₂×C₁₇

—

125

C₂×C₁₇

D₄×Q₈

yes

characteristic

126

C₂×C₁₇

C₂×AGL(1,ℤ/8)

yes

characteristic

127

C₂×C₁₇

#578

yes

characteristic

128

C₂²×Q₈

—

129

C₂×SD₁₆

—

130

C₄⋊Q₈

—

131

C₄⋊Q₈

—

132

C₄⋊Q₈

—

133

C₄⋊Q₈

C₂×D₁₇

yes

characteristic

134

#125

—

135

#125

—

136

C₂²⋊Q₈

—

137

C₂²⋊Q₈

—

138

C₄×Q₈

—

139

C₄×Q₈

—

140

C₄×Q₈

—

141

C₄×Q₈

—

142

C₄×D₄

—

143

C₄×D₄

C₂×D₁₇

yes

characteristic

144

#107

—

145

#107

—

146

#107

C₂×D₁₇

yes

—

147

#106

—

148

#106

—

149

C₄⋊C₈

—

150

C₄⋊C₈

C₂×D₁₇

yes

characteristic

151

#103

—

152

#103

—

153

#102

—

154

#102

C₂×D₁₇

yes

—

155

#97

—

156

C₄×C₈

—

157

C₁₇

#3386

yes

characteristic, complemented, Sylow

158

C₂×Q₈

—

159

C₂×Q₈

—

160

C₂×Q₈

—

161

C₂×Q₈

—

162

C₂×Q₈

—

163

C₂×Q₈

—

164

C₂×D₄

C₂²×D₁₇

yes

characteristic

165

C₂²×C₄

—

166

C₂²×C₄

—

167

SD₁₆

—

168

C₂×C₈

—

169

C₂×C₈

—

170

C₂×C₈

C₂²×D₁₇

yes

—

171

C₄⋊C₄

—

172

C₄⋊C₄

—

173

C₄⋊C₄

—

174

C₄⋊C₄

—

175

C₄⋊C₄

—

176

C₄⋊C₄

—

177

C₄⋊C₄

—

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₄⋊C₄

—

182

C₄⋊C₄

C₂²×D₁₇

yes

—

183

C₄⋊C₄

C₂²×D₁₇

yes

characteristic

184

C₂²⋊C₄

—

185

C₂²⋊C₄

—

186

C₄²

—

187

C₄²

—

188

C₄²

—

189

C₄²

C₂²×D₁₇

yes

characteristic

190

C₂³

—

191

Q₈

—

192

Q₈

—

193

Q₈

—

194

Q₈

—

195

Q₈

—

196

Q₈

—

197

D₄

—

198

D₄

Q₈×D₁₇

yes

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

—

207

C₂×C₄

—

208

C₂×C₄

D₄×D₁₇

yes

characteristic

209

C₂×C₄

D₄×D₁₇

yes

characteristic

210

C₂×C₄

C₂³×D₁₇

yes

characteristic

211

C₈

—

212

C₈

—

213

C₈

—

214

C₂²

—

215

C₂²

—

216

C₂²

—

217

C₂²

C₂×D₄×D₁₇

yes

characteristic

218

C₄

—

219

C₄

—

220

C₄

—

221

C₄

—

222

C₄

—

223

C₄

—

224

C₄

—

225

C₄

—

226

C₄

#10587597

yes

—

227

C₄

C₂×Q₈×D₁₇

yes

characteristic

228

C₄

#10587697

yes

characteristic

229

C₂

—

230

C₂

#11763472

yes

characteristic

231

C₂

C₂×#10587597

yes

characteristic

232

C₂

#11763625

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₇
commutator, cosocle	C₂×C₄×C₁₇	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₇
Fitting	C₁₇×#474	C₂
socle	C₂²×C₁₇	C₂²×D₄
prime radical	C₂×D₄×C₁₇	C₂³
hypercenter	#474	D₁₇
hypocenter	C₁₇	#3386
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #474

subgroup

G/H

center

C₂²

C₂×D₄×D₁₇

commutator, cosocle

C₂×C₄×C₁₇

C₂⁴

Frattini

C₂×C₄

C₂³×D₁₇

Fitting

C₁₇×#474

C₂

socle

C₂²×C₁₇

C₂²×D₄

prime radical

C₂×D₄×C₁₇

C₂³

D₁₇

C₁₇

G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #474

N	H ≅ G/N	type
1. #11763534	C₂	semidirect
3. #11763217	C₂	semidirect
4. #11763212	C₂	semidirect
6. #11763103	C₂	semidirect
7. #11763095	C₂	semidirect
8. #11762936	C₂	semidirect
57. #63229	Q₈	semidirect
93. Dic₃₄	C₂×Q₈	semidirect
96. #3622	C₂×Q₈	semidirect
157. C₁₇	#3386	semidirect

H ≅ G/N

type

1. #11763534

C₂

semidirect

3. #11763217

C₂

semidirect

4. #11763212

C₂

semidirect

6. #11763103

C₂

semidirect

7. #11763095

C₂

semidirect

8. #11762936

C₂

semidirect

57. #63229

Q₈

semidirect

93. Dic₃₄

C₂×Q₈

semidirect

96. #3622

C₂×Q₈

semidirect

157. C₁₇

#3386

semidirect

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

subgroup	index
#11763534	2
D₄×Dic₃₄	2
#11763217	2
#11763212	2
#11763111	2
#11763103	2
#11763095	2
#11762936	2
#11762906	2
C₄×#63229	2
C₁₇×#474	2
#3386	17

subgroup

index

D₄×Dic₃₄

C₁₇×#474

Subgroups — #14541709

Conjugacy classes of subgroups

Complements

Maximal subgroups