Group #34013199 — subgroups

Subgroups — #34013199

Order 18688.

430 conjugacy classes of subgroups; only the 112 normal subgroups are shown.

normal subgroups only

This group has 430 conjugacy classes of subgroups — too many to draw. Only its 112 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×#17989484	C₂	1	2	yes	maximal
2	#22624975	C₂	1	2	yes	maximal, complemented
3	#22624973	C₂	1	2	yes	maximal, complemented
4	C₂×#17988544	C₂	1	1	yes	maximal, characteristic
5	C₂×#14556665	C₂²	1	4	yes	—
6	#17989484	—	2	4	no	—
7	C₂²×#11924011	C₂²	1	1	yes	characteristic
8	C₂²×C₈×D₇₃	C₄	1	1	yes	characteristic
9	C₂×#14556548	C₄	1	1	yes	characteristic
10	#17988544	—	2	4	no	—
11	C₂×#14556501	C₂²	1	1	yes	characteristic
12	C₂×C₄×#10596831	C₂²	1	1	yes	characteristic
13	C₂×C₈×Dic₇₃	C₄	1	1	yes	characteristic
14	C₂×#97×C₇₃	C₄	1	1	yes	characteristic
15	#14556665	—	2	4	no	—
16	#14556665	—	2	4	no	—
17	C₂×#11924031	—	2	4	no	—
18	C₂²×C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
19	C₂×#11924011	—	2	2	no	—
20	C₂×#11924011	—	2	2	no	—
21	C₂×#11924011	D₄	1	4	yes	—
22	C₂²×#10596831	C₂×C₄	1	1	yes	characteristic
23	C₂²×#10596831	C₂³	1	1	yes	characteristic
24	C₂×C₈×D₇₃	—	2	2	no	—
25	C₂×C₈×D₇₃	—	2	2	no	—
26	C₂×C₈×D₇₃	—	2	2	no	—
27	#14556548	—	2	2	no	—
28	#14556548	C₈	1	4	yes	—
29	C₂×#11924007	—	2	1	no	—
30	C₂×#11924005	—	2	1	no	—
31	C₂×C₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic
32	#14556501	—	2	2	no	—
33	C₄×#10596831	—	2	2	no	—
34	C₈×Dic₇₃	—	2	2	no	—
35	C₂²×C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
36	C₂²×C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄²×C₇₃	C₂×C₄	1	1	yes	characteristic
38	#97×C₇₃	—	2	2	no	—
39	#11924031	—	4	4	no	—
40	C₂³×D₇₃	M₁₆	1	1	yes	characteristic
41	C₂²×Dic₇₃	—	2	1	no	—
42	C₂²×Dic₇₃	M₁₆	1	1	yes	characteristic
43	C₂×C₄×D₇₃	—	2	1	no	—
44	C₂×C₄×D₇₃	—	2	1	no	—
45	C₂×C₄×D₇₃	—	2	1	no	—
46	C₂×C₄×D₇₃	—	2	1	no	—
47	C₂×C₄×D₇₃	C₂²⋊C₄	1	2	yes	—
48	C₂×C₄×D₇₃	C₂×C₈	1	2	yes	—
49	#11924011	—	2	8	no	—
50	C₂×#10596831	—	2	1	no	—
51	C₂×#10596831	—	2	1	no	—
52	C₂×#10596831	M₁₆	1	2	yes	—
53	C₂×#10596831	C₂×D₄	1	2	yes	—
54	C₂×#10596831	#41	1	2	yes	—
55	C₂×#10596831	#41	1	2	yes	—
56	C₈×D₇₃	—	2	8	no	—
57	#11924007	—	2	4	no	—
58	#11924005	—	2	4	no	—
59	C₄×Dic₇₃	—	2	1	no	—
60	C₄×Dic₇₃	C₂×C₈	1	2	yes	—
61	C₂²×C₄×C₇₃	—	2	1	no	—
62	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
63	C₂×C₈×C₇₃	—	2	1	no	—
64	C₂×C₈×C₇₃	—	2	1	no	—
65	C₂×C₈×C₇₃	—	2	1	no	—
66	C₂×C₈×C₇₃	—	2	1	no	—
67	C₂×C₈×C₇₃	C₂²⋊C₄	1	2	yes	—
68	C₂×C₈×C₇₃	M₁₆	1	2	yes	—
69	C₄²×C₇₃	—	2	1	no	—
70	C₄²×C₇₃	C₂×C₈	1	2	yes	—
71	C₂³×C₇₃	C₂×M₁₆	1	1	yes	characteristic
72	C₂²×D₇₃	—	2	1	no	—
73	C₂²×D₇₃	—	2	1	no	—
74	C₂²×D₇₃	—	4	2	no	—
75	C₂²×D₇₃	C₂²⋊C₈	1	2	yes	—
76	C₂×C₄×C₇₃	—	2	2	no	—
77	C₂×C₄×C₇₃	—	4	2	no	—
78	C₂×C₄×C₇₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
79	C₂×C₄×C₇₃	#117	1	1	yes	characteristic
80	C₂×C₄×C₇₃	#117	1	1	yes	characteristic
81	C₂×C₄×C₇₃	C₂²×C₈	1	1	yes	characteristic
82	C₂×C₄×C₇₃	C₂×M₁₆	1	1	yes	characteristic
83	C₂×C₄×C₇₃	C₂×M₁₆	1	1	yes	characteristic
84	C₂×Dic₇₃	—	2	1	no	—
85	C₂×Dic₇₃	—	2	1	no	—
86	C₂×Dic₇₃	—	2	2	no	—
87	C₂×Dic₇₃	—	4	2	no	—
88	C₂×Dic₇₃	C₂²⋊C₈	1	2	yes	—
89	C₄×D₇₃	—	2	2	no	—
90	C₄×D₇₃	—	2	2	no	—
91	C₄×D₇₃	—	2	2	no	—
92	C₄×D₇₃	—	2	2	no	—
93	C₈×C₇₃	—	2	2	no	—
94	C₈×C₇₃	—	2	2	no	—
95	#10596831	—	2	2	no	—
96	#10596831	#123	1	4	yes	—
97	C₂²×C₇₃	—	2	2	no	—
98	C₂²×C₇₃	C₂×C₂²⋊C₈	1	1	yes	characteristic
99	C₂²×C₇₃	#432	1	1	yes	characteristic
100	C₂²×C₇₃	#432	1	1	yes	characteristic
101	C₂×D₇₃	—	2	2	no	—
102	C₂×D₇₃	—	4	2	no	—
103	C₂×D₇₃	—	4	2	no	—
104	C₂×D₇₃	—	4	2	no	—
105	C₄×C₇₃	—	4	2	no	—
106	C₄×C₇₃	#381	1	1	yes	characteristic
107	C₄×C₇₃	#407	1	1	yes	characteristic
108	C₄×C₇₃	#431	1	1	yes	characteristic
109	C₄×C₇₃	#431	1	1	yes	characteristic
110	Dic₇₃	—	2	2	no	—
111	Dic₇₃	—	4	2	no	—
112	#12850	—	73	1	no	maximal, Sylow
113	C₂×C₇₃	—	2	1	no	—
114	C₂×C₇₃	—	2	1	no	—
115	C₂×C₇₃	#1817	1	1	yes	characteristic
116	C₂×C₇₃	#2166	1	2	yes	—
117	D₇₃	—	4	2	no	—
118	C₂×#405	—	73	1	no	—
119	C₂×#349	—	73	2	no	—
120	#1376	—	73	2	no	—
121	#1375	—	73	2	no	—
122	C₇₃	#12850	1	1	yes	characteristic, complemented, Sylow
123	C₂²×M₁₆	—	73	1	no	—
124	C₂³×C₈	—	73	1	no	—
125	C₂×#117	—	73	1	no	—
126	C₂×M₃₂	—	73	4	no	—
127	#405	—	146	4	no	—
128	C₂×#97	—	73	1	no	—
129	C₂×#97	#64408	1	1	yes	characteristic
130	C₂×C₄×C₈	—	73	1	no	—
131	C₂×C₄×C₈	—	73	1	no	—
132	#349	—	146	4	no	—
133	C₂³×C₄	—	73	1	no	—
134	C₂×M₁₆	—	73	4	no	—
135	C₂×M₁₆	—	146	2	no	—
136	C₂×M₁₆	—	146	2	no	—
137	C₂²×C₈	—	73	1	no	—
138	C₂²×C₈	—	73	1	no	—
139	C₂²×C₈	—	146	2	no	—
140	C₂²×C₈	—	146	2	no	—
141	C₂²×C₈	—	146	2	no	—
142	C₂²×C₈	C₂×#64408	1	1	yes	characteristic
143	C₂²×C₈	C₂×#64408	1	1	yes	characteristic
144	#117	—	73	4	no	—
145	#117	—	146	2	no	—
146	C₂×C₄⋊C₄	—	146	1	no	—
147	C₂×C₂²⋊C₄	—	146	1	no	—
148	C₂×C₄²	—	73	1	no	—
149	C₂×C₄²	C₂×#64408	1	1	yes	characteristic
150	M₃₂	—	146	4	no	—
151	M₃₂	—	146	4	no	—
152	C₂×C₁₆	—	146	4	no	—
153	#97	—	2	2	no	—
154	#97	—	146	2	no	—
155	C₄×C₈	—	146	2	no	—
156	C₄×C₈	—	146	2	no	—
157	C₂⁴	—	73	1	no	—
158	C₂²×C₄	—	2	1	no	—
159	C₂²×C₄	—	73	1	no	—
160	C₂²×C₄	—	73	2	no	—
161	C₂²×C₄	—	73	2	no	—
162	C₂²×C₄	—	146	1	no	—
163	C₂²×C₄	—	146	1	no	—
164	C₂²×C₄	—	146	1	no	—
165	C₂²×C₄	—	146	1	no	—
166	C₂²×C₄	—	146	1	no	—
167	C₂²×C₄	C₂²×#64408	1	1	yes	characteristic
168	M₁₆	—	146	8	no	—
169	C₂×C₈	—	2	1	no	—
170	C₂×C₈	—	2	1	no	—
171	C₂×C₈	—	2	1	no	—
172	C₂×C₈	—	2	1	no	—
173	C₂×C₈	—	73	2	no	—
174	C₂×C₈	—	73	2	no	—
175	C₂×C₈	—	73	2	no	—
176	C₂×C₈	—	73	2	no	—
177	C₂×C₈	—	146	8	no	—
178	C₂×C₈	—	146	1	no	—
179	C₂×C₈	—	146	1	no	—
180	C₂×C₈	C₂²⋊#64408	1	2	yes	—
181	C₂×C₈	#11924038	1	2	yes	—
182	C₄⋊C₄	—	146	4	no	—
183	C₂²⋊C₄	—	146	4	no	—
184	C₄²	—	2	1	no	—
185	C₄²	—	73	2	no	—
186	C₄²	—	146	1	no	—
187	C₄²	#11924036	1	2	yes	—
188	C₁₆	—	292	4	no	—
189	C₂³	—	292	2	no	—
190	C₂³	—	73	2	no	—
191	C₂³	—	146	1	no	—
192	C₂³	—	146	1	no	—
193	C₂³	D₇₃⋊M₁₆	1	1	yes	characteristic
194	C₂×C₄	—	2	2	no	—
195	C₂×C₄	—	4	2	no	—
196	C₂×C₄	—	292	2	no	—
197	C₂×C₄	—	73	2	no	—
198	C₂×C₄	—	146	2	no	—
199	C₂×C₄	—	146	1	no	—
200	C₂×C₄	—	146	1	no	—
201	C₂×C₄	—	146	2	no	—
202	C₂×C₄	—	146	2	no	—
203	C₂×C₄	—	146	2	no	—
204	C₂×C₄	—	146	2	no	—
205	C₂×C₄	C₂×C₂²⋊#64408	1	1	yes	characteristic
206	C₂×C₄	#14556670	1	1	yes	characteristic
207	C₂×C₄	#14556670	1	1	yes	characteristic
208	C₂×C₄	C₂×#11924036	1	1	yes	characteristic
209	C₂×C₄	D₇₃⋊M₁₆	1	1	yes	characteristic
210	C₂×C₄	C₂×#11924038	1	1	yes	characteristic
211	C₈	—	2	2	no	—
212	C₈	—	2	2	no	—
213	C₈	—	73	4	no	—
214	C₈	—	146	2	no	—
215	C₂²	—	2	2	no	—
216	C₂²	—	292	2	no	—
217	C₂²	—	292	2	no	—
218	C₂²	—	292	2	no	—
219	C₂²	—	146	2	no	—
220	C₂²	#17989555	1	1	yes	characteristic
221	C₂²	#17989609	1	1	yes	characteristic
222	C₂²	#17989610	1	1	yes	characteristic
223	C₄	—	4	2	no	—
224	C₄	—	292	2	no	—
225	C₄	—	146	2	no	—
226	C₄	#17989530	1	1	yes	characteristic
227	C₄	#17989558	1	1	yes	characteristic
228	C₄	#17989605	1	1	yes	characteristic
229	C₄	#17989606	1	1	yes	characteristic
230	C₂	—	2	1	no	—
231	C₂	—	2	1	no	—
232	C₂	—	292	2	no	—
233	C₂	#22625823	1	1	yes	characteristic
234	C₂	#22626307	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#17989484

C₂

yes

maximal

#22624975

C₂

yes

maximal, complemented

#22624973

C₂

yes

maximal, complemented

C₂×#17988544

C₂

yes

maximal, characteristic

C₂×#14556665

C₂²

yes

—

#17989484

—

C₂²×#11924011

C₂²

yes

characteristic

C₂²×C₈×D₇₃

C₄

yes

characteristic

C₂×#14556548

C₄

yes

characteristic

#17988544

—

C₂×#14556501

C₂²

yes

characteristic

C₂×C₄×#10596831

C₂²

yes

characteristic

C₂×C₈×Dic₇₃

C₄

yes

characteristic

C₂×#97×C₇₃

C₄

yes

—

—

—

C₂²×C₄×D₇₃

C₂×C₄

yes

—

—

D₄

yes

—

C₂²×#10596831

C₂×C₄

yes

characteristic

C₂²×#10596831

C₂³

yes

characteristic

C₂×C₈×D₇₃

—

C₂×C₈×D₇₃

—

C₂×C₈×D₇₃

—

#14556548

—

#14556548

C₈

yes

—

C₂×#11924007

—

C₂×#11924005

—

C₂×C₄×Dic₇₃

C₂×C₄

yes

characteristic

#14556501

—

C₄×#10596831

—

C₈×Dic₇₃

—

C₂²×C₈×C₇₃

C₂×C₄

yes

characteristic

C₂²×C₈×C₇₃

C₂×C₄

yes

characteristic

C₂×C₄²×C₇₃

C₂×C₄

yes

characteristic

#97×C₇₃

—

#11924031

—

C₂³×D₇₃

M₁₆

yes

characteristic

C₂²×Dic₇₃

—

C₂²×Dic₇₃

M₁₆

yes

characteristic

C₂×C₄×D₇₃

—

C₂×C₄×D₇₃

—

C₂×C₄×D₇₃

—

C₂×C₄×D₇₃

—

C₂×C₄×D₇₃

C₂²⋊C₄

yes

—

C₂×C₄×D₇₃

C₂×C₈

yes

—

—

—

—

M₁₆

yes

—

C₂×#10596831

C₂×D₄

yes

—

C₂×#10596831

#41

yes

—

C₂×#10596831

#41

yes

—

C₈×D₇₃

—

#11924007

—

#11924005

—

C₄×Dic₇₃

—

C₄×Dic₇₃

C₂×C₈

yes

—

C₂²×C₄×C₇₃

—

C₂²×C₄×C₇₃

C₂²×C₄

yes

characteristic

C₂×C₈×C₇₃

—

C₂×C₈×C₇₃

—

C₂×C₈×C₇₃

—

C₂×C₈×C₇₃

—

C₂×C₈×C₇₃

C₂²⋊C₄

yes

—

C₂×C₈×C₇₃

M₁₆

yes

—

C₄²×C₇₃

—

C₄²×C₇₃

C₂×C₈

yes

—

C₂³×C₇₃

C₂×M₁₆

yes

characteristic

C₂²×D₇₃

—

C₂²×D₇₃

—

C₂²×D₇₃

—

C₂²×D₇₃

C₂²⋊C₈

yes

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

C₂×C₂²⋊C₄

yes

C₂×C₄×C₇₃

yes

C₂×C₄×C₇₃

yes

C₂×C₄×C₇₃

C₂²×C₈

yes

characteristic

C₂×C₄×C₇₃

C₂×M₁₆

yes

characteristic

C₂×C₄×C₇₃

C₂×M₁₆

yes

characteristic

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

C₂²⋊C₈

yes

—

C₄×D₇₃

—

C₄×D₇₃

—

C₄×D₇₃

—

C₄×D₇₃

—

C₈×C₇₃

—

C₈×C₇₃

—

#10596831

—

#10596831

#123

yes

—

C₂²×C₇₃

—

C₂²×C₇₃

C₂×C₂²⋊C₈

yes

characteristic

C₂²×C₇₃

#432

yes

characteristic

100

C₂²×C₇₃

#432

yes

characteristic

101

C₂×D₇₃

—

102

C₂×D₇₃

—

103

C₂×D₇₃

—

104

C₂×D₇₃

—

105

C₄×C₇₃

—

106

C₄×C₇₃

#381

yes

characteristic

107

C₄×C₇₃

#407

yes

characteristic

108

C₄×C₇₃

#431

yes

characteristic

109

C₄×C₇₃

#431

yes

characteristic

110

Dic₇₃

—

111

Dic₇₃

—

112

#12850

—

maximal, Sylow

113

C₂×C₇₃

—

114

C₂×C₇₃

—

115

C₂×C₇₃

#1817

yes

characteristic

116

C₂×C₇₃

#2166

yes

—

117

D₇₃

—

118

C₂×#405

—

119

C₂×#349

—

120

#1376

—

121

#1375

—

122

C₇₃

#12850

yes

characteristic, complemented, Sylow

123

C₂²×M₁₆

—

124

C₂³×C₈

—

125

C₂×#117

—

126

C₂×M₃₂

—

127

#405

—

146

—

128

C₂×#97

—

129

C₂×#97

#64408

yes

characteristic

130

C₂×C₄×C₈

—

131

C₂×C₄×C₈

—

132

#349

—

146

—

133

C₂³×C₄

—

134

C₂×M₁₆

—

135

C₂×M₁₆

—

146

—

136

C₂×M₁₆

—

146

—

137

C₂²×C₈

—

138

C₂²×C₈

—

139

C₂²×C₈

—

146

—

140

C₂²×C₈

—

146

—

141

C₂²×C₈

—

146

—

142

C₂²×C₈

C₂×#64408

yes

characteristic

143

C₂²×C₈

C₂×#64408

yes

characteristic

144

#117

—

145

#117

—

146

—

146

C₂×C₄⋊C₄

—

146

—

147

C₂×C₂²⋊C₄

—

146

—

148

C₂×C₄²

—

149

C₂×C₄²

C₂×#64408

yes

characteristic

150

M₃₂

—

146

—

151

M₃₂

—

146

—

152

C₂×C₁₆

—

146

—

153

#97

—

154

#97

—

146

—

155

C₄×C₈

—

146

—

156

C₄×C₈

—

146

—

157

C₂⁴

—

158

C₂²×C₄

—

159

C₂²×C₄

—

160

C₂²×C₄

—

161

C₂²×C₄

—

162

C₂²×C₄

—

146

—

163

C₂²×C₄

—

146

—

164

C₂²×C₄

—

146

—

165

C₂²×C₄

—

146

—

166

C₂²×C₄

—

146

—

167

C₂²×C₄

C₂²×#64408

yes

characteristic

168

M₁₆

—

146

—

169

C₂×C₈

—

170

C₂×C₈

—

171

C₂×C₈

—

172

C₂×C₈

—

173

C₂×C₈

—

174

C₂×C₈

—

175

C₂×C₈

—

176

C₂×C₈

—

177

C₂×C₈

—

146

—

178

C₂×C₈

—

146

—

179

C₂×C₈

—

146

—

180

C₂×C₈

C₂²⋊#64408

yes

—

181

C₂×C₈

#11924038

yes

—

182

C₄⋊C₄

—

146

—

183

C₂²⋊C₄

—

146

—

184

C₄²

—

185

C₄²

—

186

C₄²

—

146

—

187

C₄²

#11924036

yes

—

188

C₁₆

—

292

—

189

C₂³

—

292

—

190

C₂³

—

191

C₂³

—

146

—

192

C₂³

—

146

—

193

C₂³

D₇₃⋊M₁₆

yes

characteristic

194

C₂×C₄

—

195

C₂×C₄

—

196

C₂×C₄

—

292

—

197

C₂×C₄

—

198

C₂×C₄

—

146

—

199

C₂×C₄

—

146

—

200

C₂×C₄

—

146

—

201

C₂×C₄

—

146

—

202

C₂×C₄

—

146

—

203

C₂×C₄

—

146

—

204

C₂×C₄

—

146

—

205

C₂×C₄

C₂×C₂²⋊#64408

yes

characteristic

206

C₂×C₄

#14556670

yes

characteristic

207

C₂×C₄

#14556670

yes

characteristic

208

C₂×C₄

C₂×#11924036

yes

characteristic

209

C₂×C₄

D₇₃⋊M₁₆

yes

characteristic

210

C₂×C₄

C₂×#11924038

yes

characteristic

211

C₈

—

212

C₈

—

213

C₈

—

214

C₈

—

146

—

215

C₂²

—

216

C₂²

—

292

—

217

C₂²

—

292

—

218

C₂²

—

292

—

219

C₂²

—

146

—

220

C₂²

#17989555

yes

characteristic

221

C₂²

#17989609

yes

characteristic

222

C₂²

#17989610

yes

characteristic

223

C₄

—

224

C₄

—

292

—

225

C₄

—

146

—

226

C₄

#17989530

yes

characteristic

227

C₄

#17989558

yes

characteristic

228

C₄

#17989605

yes

characteristic

229

C₄

#17989606

yes

characteristic

230

C₂

—

231

C₂

—

232

C₂

—

292

—

233

C₂

#22625823

yes

characteristic

234

C₂

#22626307

yes

—

	subgroup	G/H
center	C₂×C₄	#14556670
commutator	C₂×C₄×C₇₃	C₂²×C₈
Frattini	C₂²×C₄	C₂²×#64408
Fitting	C₂×#97×C₇₃	C₄
socle	C₂²×C₇₃	#432
prime radical	C₂³×D₇₃	M₁₆
cosocle	C₂²×#10596831	C₂³
hypercenter	C₂×#97	#64408
hypocenter	C₇₃	#12850
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₈ ◁ C₂×#97

subgroup

G/H

center

C₂×C₄

#14556670

commutator

C₂×C₄×C₇₃

C₂²×C₈

Frattini

C₂²×C₄

C₂²×#64408

Fitting

C₂×#97×C₇₃

C₄

socle

C₂²×C₇₃

#432

prime radical

C₂³×D₇₃

M₁₆

C₂³

C₂×#97

C₇₃

G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃

UCS

C₁ ◁ C₂×C₄ ◁ C₂²×C₈ ◁ C₂×#97

N	H ≅ G/N	type
2. #22624975	C₂	semidirect
3. #22624973	C₂	semidirect
122. C₇₃	#12850	semidirect

H ≅ G/N

type

2. #22624975

C₂

semidirect

3. #22624973

C₂

semidirect

122. C₇₃

#12850

semidirect

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

subgroup	index
C₂×#17989484	2
#22624975	2
#22624973	2
C₂×#17988544	2
#12850	73

subgroup

index

Subgroups — #34013199

Conjugacy classes of subgroups

Complements

Maximal subgroups