Group #34207030 — subgroups

Subgroups — #34207030

Order 20224.

516 conjugacy classes of subgroups; only the 99 normal subgroups are shown.

normal subgroups only

This group has 516 conjugacy classes of subgroups — too many to draw. Only its 99 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×#19098835	C₂	1	2	yes	maximal
2	C₂×#19098379	C₂	1	2	yes	maximal, complemented
3	#23765013	C₂	1	1	yes	maximal, characteristic
4	#23761494	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×Q₃₂×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14579192	—	2	2	no	—
7	C₂×#14579167	C₂²	1	1	yes	characteristic
8	C₂×#14579101	C₂²	1	1	yes	characteristic
9	#19098835	—	2	4	no	—
10	#19098835	—	2	4	no	—
11	C₂×#14579097	C₂²	1	2	yes	—
12	C₂×#14579080	—	2	2	no	—
13	#19098379	—	2	4	no	—
14	(C₂×D₇₉)⋊C₁₆	—	2	2	no	—
15	C₂²×Q₁₆×C₇₉	C₂²	1	2	yes	—
16	C₂×Q₃₂×C₇₉	—	2	4	no	—
17	C₂×Q₃₂×C₇₉	—	2	2	no	—
18	C₂²×C₁₆×C₇₉	C₂²	1	1	yes	characteristic
19	C₂×#11929624	D₄	1	1	yes	characteristic
20	#14579192	—	2	8	no	—
21	#14579192	—	4	4	no	—
22	C₂×#11929614	—	4	2	no	—
23	C₂×#11929611	—	4	2	no	—
24	#14579167	—	2	2	no	—
25	#14579167	—	2	2	no	—
26	C₂×#11929608	—	2	2	no	—
27	C₂×#11929608	D₄	1	1	yes	characteristic
28	C₂×#11929607	—	2	1	no	—
29	C₂×C₈×D₇₉	—	2	1	no	—
30	#14579101	—	2	2	no	—
31	C₂×C₇₉⋊C₁₆	—	2	1	no	—
32	#14579097	—	2	2	no	—
33	#14579097	D₄	1	4	yes	—
34	#14579080	—	2	8	no	—
35	C₂²×Q₈×C₇₉	—	2	2	no	—
36	C₂×Q₁₆×C₇₉	—	2	2	no	—
37	C₂×Q₁₆×C₇₉	—	2	2	no	—
38	C₂×Q₁₆×C₇₉	—	2	2	no	—
39	C₂×Q₁₆×C₇₉	—	2	2	no	—
40	C₂×Q₁₆×C₇₉	—	2	2	no	—
41	C₂×Q₁₆×C₇₉	D₄	1	4	yes	—
42	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
43	Q₃₂×C₇₉	—	2	8	no	—
44	C₂×C₁₆×C₇₉	—	2	2	no	—
45	C₂×C₁₆×C₇₉	D₄	1	2	yes	—
46	#11929624	—	2	2	no	—
47	#11929624	—	2	2	no	—
48	C₂×Dic₁₅₈	D₈	1	1	yes	characteristic
49	C₂×D₃₁₆	D₈	1	1	yes	characteristic
50	C₂×C₂²⋊D₇₉	—	2	1	no	—
51	C₂×C₄×D₇₉	—	2	1	no	—
52	#11929614	—	4	8	no	—
53	#11929611	—	4	8	no	—
54	#11929608	—	2	2	no	—
55	#11929608	—	2	4	no	—
56	#11929608	—	4	2	no	—
57	#11929607	—	4	2	no	—
58	C₂×C₇₉⋊C₈	—	2	1	no	—
59	C₂×C₇₉⋊C₈	—	4	2	no	—
60	C₈×D₇₉	—	4	1	no	—
61	C₈×D₇₉	—	4	1	no	—
62	C₇₉⋊C₁₆	—	4	1	no	—
63	C₂×Q₈×C₇₉	—	2	4	no	—
64	C₂×Q₈×C₇₉	—	4	2	no	—
65	C₂×Q₈×C₇₉	—	4	2	no	—
66	C₂×Q₈×C₇₉	—	4	2	no	—
67	C₂×Q₈×C₇₉	—	4	2	no	—
68	C₂×Q₈×C₇₉	—	4	2	no	—
69	C₂²×C₄×C₇₉	—	4	2	no	—
70	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
71	Q₁₆×C₇₉	—	2	4	no	—
72	Q₁₆×C₇₉	—	2	4	no	—
73	Q₁₆×C₇₉	—	4	2	no	—
74	Q₁₆×C₇₉	—	4	2	no	—
75	C₂×C₈×C₇₉	C₂×D₄	1	2	yes	—
76	C₂×C₈×C₇₉	C₂×D₄	1	2	yes	—
77	C₂×C₈×C₇₉	C₂×D₄	1	1	yes	characteristic
78	C₂×C₈×C₇₉	#41	1	1	yes	characteristic
79	C₁₆×C₇₉	—	2	2	no	—
80	C₂³×C₇₉	#135	1	1	yes	characteristic
81	C₂²×D₇₉	—	2	1	no	—
82	Q₈×C₇₉	—	4	4	no	—
83	Q₈×C₇₉	—	4	4	no	—
84	Q₈×C₇₉	—	8	2	no	—
85	Q₈×C₇₉	—	8	2	no	—
86	C₂×C₄×C₇₉	—	4	4	no	—
87	C₂×C₄×C₇₉	—	8	2	no	—
88	C₂×C₄×C₇₉	—	8	2	no	—
89	C₂×C₄×C₇₉	#120	1	2	yes	—
90	C₂×C₄×C₇₉	#121	1	1	yes	characteristic
91	C₂×C₄×C₇₉	C₂×D₈	1	1	yes	characteristic
92	C₂×C₄×C₇₉	AGL(1,ℤ/8)	1	2	yes	—
93	C₂²⋊D₇₉	—	4	2	no	—
94	C₂×Dic₇₉	—	2	1	no	—
95	D₃₁₆	—	2	2	no	—
96	C₄×D₇₉	—	4	1	no	—
97	C₄×D₇₉	—	4	1	no	—
98	Dic₁₅₈	—	2	2	no	—
99	C₈×C₇₉	#120	1	1	yes	characteristic
100	C₈×C₇₉	#121	1	2	yes	—
101	C₈×C₇₉	#127	1	1	yes	characteristic
102	C₇₉⋊C₈	—	4	1	no	—
103	C₇₉⋊C₈	—	4	4	no	—
104	C₂²×C₇₉	—	2	2	no	—
105	C₂²×C₇₉	#449	1	2	yes	—
106	C₂²×C₇₉	#466	1	1	yes	characteristic
107	C₂×D₇₉	—	4	2	no	—
108	C₂×D₇₉	—	4	1	no	—
109	C₄×C₇₉	—	8	4	no	—
110	C₄×C₇₉	#392	1	1	yes	characteristic
111	C₄×C₇₉	#447	1	2	yes	—
112	C₄×C₇₉	#469	1	1	yes	characteristic
113	Dic₇₉	—	4	1	no	—
114	#13315	—	79	1	no	maximal, Sylow
115	C₂×C₇₉	—	2	2	no	—
116	C₂×C₇₉	#1999	1	1	yes	characteristic
117	C₂×C₇₉	#2222	1	2	yes	—
118	D₇₉	—	8	1	no	—
119	C₂²×Q₃₂	D₇₉	1	1	yes	characteristic, complemented
120	C₂×#473	—	79	2	no	—
121	C₂×#362	—	79	2	no	—
122	#2113	—	79	1	no	—
123	#1381	—	79	1	no	—
124	C₇₉	#13315	1	1	yes	characteristic, complemented, Sylow
125	C₂×#137	—	158	2	no	—
126	C₂²×Q₁₆	C₂×D₇₉	1	2	yes	—
127	C₂×#131	—	79	1	no	—
128	C₂×Q₃₂	—	2	4	no	—
129	C₂×Q₃₂	—	2	2	no	—
130	C₂×M₃₂	—	79	1	no	—
131	C₂²×C₁₆	C₂×D₇₉	1	1	yes	characteristic
132	#473	—	158	4	no	—
133	#473	—	158	4	no	—
134	C₂×#108	—	79	2	no	—
135	C₂×#101	—	158	2	no	—
136	#362	—	158	4	no	—
137	C₂²⋊C₁₆	—	158	2	no	—
138	C₂×#41	—	79	1	no	—
139	C₂²×Q₈	—	2	2	no	—
140	#137	—	316	4	no	—
141	#137	—	158	8	no	—
142	C₂×Q₁₆	—	2	2	no	—
143	C₂×Q₁₆	—	2	2	no	—
144	C₂×Q₁₆	—	2	2	no	—
145	C₂×Q₁₆	—	2	2	no	—
146	C₂×Q₁₆	—	2	2	no	—
147	C₂×Q₁₆	—	316	2	no	—
148	C₂×Q₁₆	C₂²⋊D₇₉	1	4	yes	—
149	C₂×SD₁₆	—	316	2	no	—
150	#131	—	158	2	no	—
151	#131	—	158	2	no	—
152	C₂×M₁₆	—	79	1	no	—
153	C₂×M₁₆	—	158	2	no	—
154	C₂×M₁₆	—	158	1	no	—
155	C₂²×C₈	—	158	1	no	—
156	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
157	Q₃₂	—	2	8	no	—
158	M₃₂	—	158	2	no	—
159	C₂×C₁₆	—	2	2	no	—
160	C₂×C₁₆	—	158	1	no	—
161	C₂×C₁₆	C₂²⋊D₇₉	1	2	yes	—
162	#108	—	79	4	no	—
163	#108	—	158	2	no	—
164	#101	—	158	8	no	—
165	#41	—	158	2	no	—
166	#41	—	158	2	no	—
167	C₂×Q₈	—	2	4	no	—
168	C₂×Q₈	—	4	2	no	—
169	C₂×Q₈	—	4	2	no	—
170	C₂×Q₈	—	4	2	no	—
171	C₂×Q₈	—	4	2	no	—
172	C₂×Q₈	—	4	2	no	—
173	C₂×Q₈	—	79	1	no	—
174	C₂×D₄	—	79	1	no	—
175	C₂×D₄	—	158	1	no	—
176	C₂²×C₄	—	4	2	no	—
177	C₂²×C₄	—	158	1	no	—
178	C₂²×C₄	D₄×D₇₉	1	1	yes	characteristic
179	Q₁₆	—	2	4	no	—
180	Q₁₆	—	2	4	no	—
181	Q₁₆	—	4	2	no	—
182	Q₁₆	—	4	2	no	—
183	Q₁₆	—	316	8	no	—
184	SD₁₆	—	316	8	no	—
185	M₁₆	—	316	2	no	—
186	M₁₆	—	316	2	no	—
187	M₁₆	—	158	2	no	—
188	M₁₆	—	158	4	no	—
189	C₂×C₈	—	316	2	no	—
190	C₂×C₈	—	316	1	no	—
191	C₂×C₈	—	316	1	no	—
192	C₂×C₈	—	158	1	no	—
193	C₂×C₈	D₄×D₇₉	1	2	yes	—
194	C₂×C₈	C₂×C₂²⋊D₇₉	1	2	yes	—
195	C₂×C₈	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
196	C₂×C₈	#11929623	1	1	yes	characteristic
197	C₁₆	—	2	2	no	—
198	C₁₆	—	316	1	no	—
199	C₂³	—	158	1	no	—
200	C₂³	#14579180	1	1	yes	characteristic
201	Q₈	—	4	4	no	—
202	Q₈	—	4	4	no	—
203	Q₈	—	8	2	no	—
204	Q₈	—	8	2	no	—
205	Q₈	—	158	2	no	—
206	D₄	—	316	2	no	—
207	D₄	—	158	2	no	—
208	C₂×C₄	—	4	4	no	—
209	C₂×C₄	—	8	2	no	—
210	C₂×C₄	—	8	2	no	—
211	C₂×C₄	—	316	1	no	—
212	C₂×C₄	—	316	1	no	—
213	C₂×C₄	—	158	1	no	—
214	C₂×C₄	#14579129	1	2	yes	—
215	C₂×C₄	#14579132	1	1	yes	characteristic
216	C₂×C₄	D₈×D₇₉	1	1	yes	characteristic
217	C₂×C₄	#14579185	1	2	yes	—
218	C₈	—	316	4	no	—
219	C₈	—	316	1	no	—
220	C₈	#14579130	1	1	yes	characteristic
221	C₈	#14579133	1	2	yes	—
222	C₈	#14579157	1	1	yes	characteristic
223	C₂²	—	2	2	no	—
224	C₂²	—	316	2	no	—
225	C₂²	—	316	1	no	—
226	C₂²	#19098705	1	2	yes	—
227	C₂²	#19098796	1	1	yes	characteristic
228	C₄	—	8	4	no	—
229	C₄	—	316	1	no	—
230	C₄	#19098471	1	1	yes	characteristic
231	C₄	#19098695	1	2	yes	—
232	C₄	#19098813	1	1	yes	characteristic
233	C₂	—	2	2	no	—
234	C₂	—	632	1	no	—
235	C₂	#23764395	1	1	yes	characteristic
236	C₂	#23765522	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#19098835

C₂

yes

maximal

C₂×#19098379

C₂

yes

maximal, complemented

#23765013

C₂

yes

maximal, characteristic

#23761494

C₂

yes

maximal, characteristic, complemented

C₂²×Q₃₂×C₇₉

C₂

yes

maximal, characteristic, complemented

C₂×#14579192

—

C₂×#14579167

C₂²

yes

characteristic

C₂×#14579101

C₂²

yes

—

—

C₂²

yes

—

C₂×#14579080

—

#19098379

—

(C₂×D₇₉)⋊C₁₆

—

C₂²×Q₁₆×C₇₉

C₂²

yes

—

C₂×Q₃₂×C₇₉

—

C₂×Q₃₂×C₇₉

—

C₂²×C₁₆×C₇₉

C₂²

yes

characteristic

C₂×#11929624

D₄

yes

—

—

—

—

—

—

—

D₄

yes

characteristic

C₂×#11929607

—

C₂×C₈×D₇₉

—

#14579101

—

C₂×C₇₉⋊C₁₆

—

#14579097

—

#14579097

D₄

yes

—

#14579080

—

C₂²×Q₈×C₇₉

—

C₂×Q₁₆×C₇₉

—

C₂×Q₁₆×C₇₉

—

C₂×Q₁₆×C₇₉

—

C₂×Q₁₆×C₇₉

—

C₂×Q₁₆×C₇₉

—

C₂×Q₁₆×C₇₉

D₄

yes

—

C₂²×C₈×C₇₉

C₂³

yes

characteristic

Q₃₂×C₇₉

—

C₂×C₁₆×C₇₉

—

C₂×C₁₆×C₇₉

D₄

yes

—

#11929624

—

#11929624

—

C₂×Dic₁₅₈

D₈

yes

characteristic

C₂×D₃₁₆

D₈

yes

characteristic

C₂×C₂²⋊D₇₉

—

C₂×C₄×D₇₉

—

—

—

—

—

—

—

C₂×C₇₉⋊C₈

—

C₂×C₇₉⋊C₈

—

C₈×D₇₉

—

C₈×D₇₉

—

C₇₉⋊C₁₆

—

C₂×Q₈×C₇₉

—

C₂×Q₈×C₇₉

—

C₂×Q₈×C₇₉

—

C₂×Q₈×C₇₉

—

C₂×Q₈×C₇₉

—

C₂×Q₈×C₇₉

—

C₂²×C₄×C₇₉

—

C₂²×C₄×C₇₉

C₂×D₄

yes

characteristic

Q₁₆×C₇₉

—

Q₁₆×C₇₉

—

Q₁₆×C₇₉

—

Q₁₆×C₇₉

—

C₂×C₈×C₇₉

C₂×D₄

yes

—

C₂×C₈×C₇₉

C₂×D₄

yes

—

C₂×C₈×C₇₉

C₂×D₄

yes

characteristic

C₂×C₈×C₇₉

#41

yes

characteristic

C₁₆×C₇₉

—

C₂³×C₇₉

#135

yes

characteristic

C₂²×D₇₉

—

Q₈×C₇₉

—

Q₈×C₇₉

—

Q₈×C₇₉

—

Q₈×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

#120

yes

—

C₂×C₄×C₇₉

#121

yes

characteristic

C₂×C₄×C₇₉

C₂×D₈

yes

characteristic

C₂×C₄×C₇₉

AGL(1,ℤ/8)

yes

—

C₂²⋊D₇₉

—

C₂×Dic₇₉

—

D₃₁₆

—

C₄×D₇₉

—

C₄×D₇₉

—

Dic₁₅₈

—

C₈×C₇₉

#120

yes

characteristic

100

C₈×C₇₉

#121

yes

—

101

C₈×C₇₉

#127

yes

characteristic

102

C₇₉⋊C₈

—

103

C₇₉⋊C₈

—

104

C₂²×C₇₉

—

105

C₂²×C₇₉

#449

yes

—

106

C₂²×C₇₉

#466

yes

characteristic

107

C₂×D₇₉

—

108

C₂×D₇₉

—

109

C₄×C₇₉

—

110

C₄×C₇₉

#392

yes

characteristic

111

C₄×C₇₉

#447

yes

—

112

C₄×C₇₉

#469

yes

characteristic

113

Dic₇₉

—

114

#13315

—

maximal, Sylow

115

C₂×C₇₉

—

116

C₂×C₇₉

#1999

yes

characteristic

117

C₂×C₇₉

#2222

yes

—

118

D₇₉

—

119

C₂²×Q₃₂

D₇₉

yes

characteristic, complemented

120

C₂×#473

—

121

C₂×#362

—

122

#2113

—

123

#1381

—

124

C₇₉

#13315

yes

characteristic, complemented, Sylow

125

C₂×#137

—

158

—

126

C₂²×Q₁₆

C₂×D₇₉

yes

—

127

C₂×#131

—

128

C₂×Q₃₂

—

129

C₂×Q₃₂

—

130

C₂×M₃₂

—

131

C₂²×C₁₆

C₂×D₇₉

yes

characteristic

132

#473

—

158

—

133

#473

—

158

—

134

C₂×#108

—

135

C₂×#101

—

158

—

136

#362

—

158

—

137

C₂²⋊C₁₆

—

158

—

138

C₂×#41

—

139

C₂²×Q₈

—

140

#137

—

316

—

141

#137

—

158

—

142

C₂×Q₁₆

—

143

C₂×Q₁₆

—

144

C₂×Q₁₆

—

145

C₂×Q₁₆

—

146

C₂×Q₁₆

—

147

C₂×Q₁₆

—

316

—

148

C₂×Q₁₆

C₂²⋊D₇₉

yes

—

149

C₂×SD₁₆

—

316

—

150

#131

—

158

—

151

#131

—

158

—

152

C₂×M₁₆

—

153

C₂×M₁₆

—

158

—

154

C₂×M₁₆

—

158

—

155

C₂²×C₈

—

158

—

156

C₂²×C₈

C₂²×D₇₉

yes

characteristic

157

Q₃₂

—

158

M₃₂

—

158

—

159

C₂×C₁₆

—

160

C₂×C₁₆

—

158

—

161

C₂×C₁₆

C₂²⋊D₇₉

yes

—

162

#108

—

163

#108

—

158

—

164

#101

—

158

—

165

#41

—

158

—

166

#41

—

158

—

167

C₂×Q₈

—

168

C₂×Q₈

—

169

C₂×Q₈

—

170

C₂×Q₈

—

171

C₂×Q₈

—

172

C₂×Q₈

—

173

C₂×Q₈

—

174

C₂×D₄

—

175

C₂×D₄

—

158

—

176

C₂²×C₄

—

177

C₂²×C₄

—

158

—

178

C₂²×C₄

D₄×D₇₉

yes

characteristic

179

Q₁₆

—

180

Q₁₆

—

181

Q₁₆

—

182

Q₁₆

—

183

Q₁₆

—

316

—

184

SD₁₆

—

316

—

185

M₁₆

—

316

—

186

M₁₆

—

316

—

187

M₁₆

—

158

—

188

M₁₆

—

158

—

189

C₂×C₈

—

316

—

190

C₂×C₈

—

316

—

191

C₂×C₈

—

316

—

192

C₂×C₈

—

158

—

193

C₂×C₈

D₄×D₇₉

yes

—

194

C₂×C₈

C₂×C₂²⋊D₇₉

yes

—

195

C₂×C₈

C₂×C₂²⋊D₇₉

yes

characteristic

196

C₂×C₈

#11929623

yes

characteristic

197

C₁₆

—

198

C₁₆

—

316

—

199

C₂³

—

158

—

200

C₂³

#14579180

yes

characteristic

201

Q₈

—

202

Q₈

—

203

Q₈

—

204

Q₈

—

205

Q₈

—

158

—

206

D₄

—

316

—

207

D₄

—

158

—

208

C₂×C₄

—

209

C₂×C₄

—

210

C₂×C₄

—

211

C₂×C₄

—

316

—

212

C₂×C₄

—

316

—

213

C₂×C₄

—

158

—

214

C₂×C₄

#14579129

yes

—

215

C₂×C₄

#14579132

yes

characteristic

216

C₂×C₄

D₈×D₇₉

yes

characteristic

217

C₂×C₄

#14579185

yes

—

218

C₈

—

316

—

219

C₈

—

316

—

220

C₈

#14579130

yes

characteristic

221

C₈

#14579133

yes

—

222

C₈

#14579157

yes

characteristic

223

C₂²

—

224

C₂²

—

316

—

225

C₂²

—

316

—

226

C₂²

#19098705

yes

—

227

C₂²

#19098796

yes

characteristic

228

C₄

—

229

C₄

—

316

—

230

C₄

#19098471

yes

characteristic

231

C₄

#19098695

yes

—

232

C₄

#19098813

yes

characteristic

233

C₂

—

234

C₂

—

632

—

235

C₂

#23764395

yes

characteristic

236

C₂

#23765522

yes

—

	subgroup	G/H
center	C₂²	#19098796
commutator, cosocle	C₂²×C₈×C₇₉	C₂³
Frattini	C₂²×C₈	C₂²×D₇₉
Fitting	C₂²×Q₃₂×C₇₉	C₂
socle	C₂²×C₇₉	#466
prime radical	C₂×#11929624	D₄
hypercenter	C₂²×Q₃₂	D₇₉
hypocenter	C₇₉	#13315
LCS	G ▷ C₂²×C₈×C₇₉ ▷ C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂²×Q₃₂

subgroup

G/H

center

C₂²

#19098796

commutator, cosocle

C₂²×C₈×C₇₉

C₂³

Frattini

C₂²×C₈

C₂²×D₇₉

Fitting

C₂²×Q₃₂×C₇₉

C₂

C₂²×C₇₉

D₄

C₂²×Q₃₂

D₇₉

hypocenter

C₇₉

#13315

LCS

G ▷ C₂²×C₈×C₇₉ ▷ C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉

UCS

C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂²×Q₃₂

N	H ≅ G/N	type
2. C₂×#19098379	C₂	semidirect
4. #23761494	C₂	semidirect
5. C₂²×Q₃₂×C₇₉	C₂	semidirect
119. C₂²×Q₃₂	D₇₉	semidirect
124. C₇₉	#13315	semidirect

H ≅ G/N

type

2. C₂×#19098379

C₂

semidirect

4. #23761494

C₂

semidirect

5. C₂²×Q₃₂×C₇₉

C₂

semidirect

119. C₂²×Q₃₂

D₇₉

semidirect

124. C₇₉

#13315

semidirect

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

subgroup	index
C₂×#19098835	2
C₂×#19098379	2
#23765013	2
#23761494	2
C₂²×Q₃₂×C₇₉	2
#13315	79

subgroup

index

C₂²×Q₃₂×C₇₉

Subgroups — #34207030

Conjugacy classes of subgroups

Complements

Maximal subgroups