Group #35308532 — subgroups

Subgroups — #35308532

Order 21248.

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

normal subgroups only

This group has 402 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	#24918808	C₂	1	1	yes	maximal, characteristic
2	#24908440	C₂	1	2	yes	maximal
3	#24906151	C₂	1	2	yes	maximal
4	#24905338	C₂	1	1	yes	maximal, characteristic
5	C₈₃×#1842	C₂	1	1	yes	maximal, characteristic
6	#19128258	C₂²	1	2	yes	—
7	#19127997	—	2	2	no	—
8	#19127942	—	2	2	no	—
9	#19127912	—	2	2	no	—
10	#19127725	C₂²	1	2	yes	—
11	#19127461	—	2	2	no	—
12	#19127461	—	2	2	no	—
13	#19127449	—	2	2	no	—
14	#19127448	—	2	2	no	—
15	C₂×C₄⋊C₈×C₈₃	—	2	2	no	—
16	C₂×C₄⋊C₈×C₈₃	C₂²	1	1	yes	characteristic
17	C₂×C₄⋊C₈×C₈₃	C₂²	1	1	yes	characteristic
18	C₄³×C₈₃	C₂²	1	1	yes	characteristic
19	C₂×Dic₃₃₂	—	2	2	no	—
20	C₂×#13050574	—	2	2	no	—
21	#14581792	D₄	1	2	yes	—
22	#14581792	D₄	1	2	yes	—
23	#14581784	—	2	2	no	—
24	#14581771	—	2	2	no	—
25	#14581771	—	2	2	no	—
26	C₄×Dic₁₆₆	—	2	2	no	—
27	C₄×Dic₁₆₆	—	2	2	no	—
28	#14581751	—	2	2	no	—
29	#14581726	—	2	2	no	—
30	C₄⋊(C₈₃⋊C₈)	—	2	2	no	—
31	C₄⋊(C₈₃⋊C₈)	—	2	2	no	—
32	#14581717	—	2	4	no	—
33	C₂²×C₈×C₈₃	—	2	1	no	—
34	C₂²×C₈×C₈₃	D₄	1	2	yes	—
35	C₂×C₄²×C₈₃	—	2	1	no	—
36	C₂×C₄²×C₈₃	—	2	1	no	—
37	C₂×C₄²×C₈₃	D₄	1	1	yes	characteristic
38	C₂×C₄²×C₈₃	D₄	1	1	yes	characteristic
39	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
40	C₄⋊C₈×C₈₃	—	2	2	no	—
41	C₄⋊C₈×C₈₃	—	2	2	no	—
42	C₄⋊C₈×C₈₃	—	4	4	no	—
43	C₂×Dic₁₆₆	—	2	2	no	—
44	C₂×Dic₁₆₆	—	2	2	no	—
45	Dic₃₃₂	—	8	2	no	—
46	#13050574	—	4	2	no	—
47	#13050574	—	4	2	no	—
48	C₂×C₈₃⋊C₈	—	4	2	no	—
49	C₄⋊Dic₈₃	—	2	2	no	—
50	C₄⋊Dic₈₃	—	2	2	no	—
51	C₄⋊Dic₈₃	—	2	2	no	—
52	C₄⋊Dic₈₃	—	2	2	no	—
53	Dic₈₃⋊C₄	—	4	2	no	—
54	Dic₈₃⋊C₄	—	4	2	no	—
55	C₂²⋊Dic₈₃	—	4	2	no	—
56	C₄×Dic₈₃	—	4	2	no	—
57	C₂²×C₄×C₈₃	—	2	1	no	—
58	C₂²×C₄×C₈₃	—	2	1	no	—
59	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
60	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
61	C₂²×C₄×C₈₃	#41	1	1	yes	characteristic
62	C₂×C₈×C₈₃	—	2	2	no	—
63	C₂×C₈×C₈₃	—	4	2	no	—
64	C₂×C₈×C₈₃	—	4	2	no	—
65	C₂×C₈×C₈₃	—	4	1	no	—
66	C₄²×C₈₃	—	2	2	no	—
67	C₄²×C₈₃	—	2	2	no	—
68	C₄²×C₈₃	—	2	1	no	—
69	C₄²×C₈₃	—	2	2	no	—
70	C₄²×C₈₃	—	4	2	no	—
71	C₄²×C₈₃	Q₁₆	1	2	yes	complemented
72	C₄²×C₈₃	C₂×D₄	1	2	yes	—
73	C₄²×C₈₃	#41	1	2	yes	—
74	C₂³×C₈₃	#121	1	1	yes	characteristic
75	C₂×C₄×C₈₃	—	2	2	no	—
76	C₂×C₄×C₈₃	—	2	2	no	—
77	C₂×C₄×C₈₃	—	2	2	no	—
78	C₂×C₄×C₈₃	—	2	1	no	—
79	C₂×C₄×C₈₃	—	2	1	no	—
80	C₂×C₄×C₈₃	—	2	2	no	—
81	C₂×C₄×C₈₃	—	4	1	no	—
82	C₂×C₄×C₈₃	—	4	1	no	—
83	C₂×C₄×C₈₃	—	4	1	no	—
84	C₂×C₄×C₈₃	#120	1	1	yes	characteristic
85	C₂×C₄×C₈₃	#121	1	2	yes	—
86	C₂×C₄×C₈₃	#123	1	2	yes	—
87	C₂×C₄×C₈₃	#124	1	1	yes	characteristic
88	C₂×C₄×C₈₃	C₂×Q₁₆	1	1	yes	characteristic
89	C₂×C₄×C₈₃	#135	1	1	yes	characteristic
90	C₂×C₄×C₈₃	#137	1	2	yes	—
91	C₂×Dic₈₃	—	4	2	no	—
92	C₂×Dic₈₃	—	4	2	no	—
93	Dic₁₆₆	—	4	2	no	—
94	Dic₁₆₆	—	4	2	no	—
95	Dic₁₆₆	—	8	2	no	—
96	C₈×C₈₃	—	4	2	no	—
97	C₈×C₈₃	—	8	1	no	—
98	C₈₃⋊C₈	—	8	2	no	—
99	C₂²×C₈₃	—	2	1	no	—
100	C₂²×C₈₃	—	2	1	no	—
101	C₂²×C₈₃	#394	1	1	yes	characteristic
102	C₂²×C₈₃	#467	1	1	yes	characteristic
103	C₂²×C₈₃	#470	1	1	yes	characteristic
104	C₄×C₈₃	—	2	4	no	—
105	C₄×C₈₃	—	2	2	no	—
106	C₄×C₈₃	—	2	1	no	—
107	C₄×C₈₃	—	4	2	no	—
108	C₄×C₈₃	#453	1	1	yes	characteristic
109	C₄×C₈₃	#456	1	1	yes	characteristic
110	C₄×C₈₃	#462	1	2	yes	—
111	C₄×C₈₃	#464	1	2	yes	—
112	Dic₈₃	—	8	2	no	—
113	Dic₈₃	—	8	2	no	—
114	#10522	—	83	1	no	maximal, Sylow
115	C₂×C₈₃	—	2	1	no	—
116	C₂×C₈₃	—	2	1	no	—
117	C₂×C₈₃	#2039	1	1	yes	characteristic
118	C₂×C₈₃	#2050	1	1	yes	characteristic
119	C₂×C₈₃	#2056	1	1	yes	characteristic
120	#3249	—	83	1	no	—
121	#1994	—	83	2	no	—
122	#1842	D₈₃	1	1	yes	characteristic
123	#1550	—	83	2	no	—
124	#1292	—	83	1	no	—
125	C₈₃	#10522	1	1	yes	characteristic, complemented, Sylow
126	#533	—	83	2	no	—
127	#477	—	166	2	no	—
128	#467	—	166	2	no	—
129	#462	—	166	2	no	—
130	#423	—	83	2	no	—
131	C₂×C₄⋊C₈	—	2	2	no	—
132	C₂×C₄⋊C₈	C₂×D₈₃	1	1	yes	characteristic
133	C₂×C₄⋊C₈	C₂×D₈₃	1	1	yes	characteristic
134	C₄³	C₂×D₈₃	1	1	yes	characteristic
135	#339	—	166	2	no	—
136	#339	—	166	2	no	—
137	#333	—	166	2	no	—
138	#332	—	166	2	no	—
139	C₂×Q₁₆	—	166	2	no	—
140	C₂×M₁₆	—	166	2	no	—
141	C₂²×C₈	—	2	1	no	—
142	C₂²×C₈	C₂²⋊D₈₃	1	2	yes	—
143	C₄⋊Q₈	—	83	2	no	—
144	C₄⋊Q₈	—	83	2	no	—
145	#125	—	166	2	no	—
146	C₂²⋊Q₈	—	166	2	no	—
147	C₂²⋊Q₈	—	166	2	no	—
148	C₄×Q₈	—	166	2	no	—
149	C₄×Q₈	—	166	2	no	—
150	#117	—	166	2	no	—
151	C₂×C₄²	—	2	1	no	—
152	C₂×C₄²	—	2	1	no	—
153	C₂×C₄²	D₃₃₂	1	1	yes	characteristic
154	C₂×C₄²	D₃₃₂	1	1	yes	characteristic
155	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
156	#107	—	166	2	no	—
157	C₄⋊C₈	—	2	2	no	—
158	C₄⋊C₈	—	2	2	no	—
159	C₄⋊C₈	—	4	4	no	—
160	C₄⋊C₈	—	166	2	no	—
161	C₄⋊C₈	—	166	2	no	—
162	#103	—	166	4	no	—
163	C₂×Q₈	—	166	2	no	—
164	C₂×Q₈	—	166	2	no	—
165	C₂²×C₄	—	2	1	no	—
166	C₂²×C₄	—	2	1	no	—
167	C₂²×C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
168	C₂²×C₄	C₂×D₃₃₂	1	1	yes	characteristic
169	C₂²×C₄	#13050590	1	1	yes	characteristic
170	Q₁₆	—	664	2	no	—
171	M₁₆	—	332	2	no	—
172	M₁₆	—	332	2	no	—
173	C₂×C₈	—	2	2	no	—
174	C₂×C₈	—	4	2	no	—
175	C₂×C₈	—	4	2	no	—
176	C₂×C₈	—	4	1	no	—
177	C₂×C₈	—	332	2	no	—
178	C₄⋊C₄	—	332	2	no	—
179	C₄⋊C₄	—	332	2	no	—
180	C₄⋊C₄	—	166	2	no	—
181	C₄⋊C₄	—	166	2	no	—
182	C₄⋊C₄	—	166	2	no	—
183	C₄⋊C₄	—	166	2	no	—
184	C₂²⋊C₄	—	332	2	no	—
185	C₄²	—	2	2	no	—
186	C₄²	—	2	2	no	—
187	C₄²	—	2	1	no	—
188	C₄²	—	2	2	no	—
189	C₄²	—	4	2	no	—
190	C₄²	—	332	2	no	—
191	C₄²	Dic₃₃₂	1	2	yes	complemented
192	C₄²	D₄×D₈₃	1	2	yes	—
193	C₄²	#13050591	1	2	yes	—
194	C₂³	#14581766	1	1	yes	characteristic
195	Q₈	—	332	2	no	—
196	Q₈	—	332	2	no	—
197	Q₈	—	664	2	no	—
198	C₂×C₄	—	2	2	no	—
199	C₂×C₄	—	2	2	no	—
200	C₂×C₄	—	2	2	no	—
201	C₂×C₄	—	2	1	no	—
202	C₂×C₄	—	2	1	no	—
203	C₂×C₄	—	2	2	no	—
204	C₂×C₄	—	4	1	no	—
205	C₂×C₄	—	4	1	no	—
206	C₂×C₄	—	4	1	no	—
207	C₂×C₄	—	332	2	no	—
208	C₂×C₄	—	332	2	no	—
209	C₂×C₄	#14581760	1	1	yes	characteristic
210	C₂×C₄	#14581767	1	2	yes	—
211	C₂×C₄	#14581777	1	2	yes	—
212	C₂×C₄	#14581781	1	1	yes	characteristic
213	C₂×C₄	C₂×Dic₃₃₂	1	1	yes	characteristic
214	C₂×C₄	#14581814	1	1	yes	characteristic
215	C₂×C₄	#14581825	1	2	yes	—
216	C₈	—	4	2	no	—
217	C₈	—	8	1	no	—
218	C₈	—	664	2	no	—
219	C₂²	—	2	1	no	—
220	C₂²	—	2	1	no	—
221	C₂²	#19127618	1	1	yes	characteristic
222	C₂²	#19127942	1	1	yes	characteristic
223	C₂²	#19127959	1	1	yes	characteristic
224	C₄	—	2	4	no	—
225	C₄	—	2	1	no	—
226	C₄	—	2	2	no	—
227	C₄	—	4	2	no	—
228	C₄	—	664	2	no	—
229	C₄	—	664	2	no	—
230	C₄	#19127868	1	1	yes	characteristic
231	C₄	#19127883	1	1	yes	characteristic
232	C₄	#19127912	1	2	yes	—
233	C₄	#19127924	1	2	yes	—
234	C₂	—	2	1	no	—
235	C₂	—	2	1	no	—
236	C₂	#24908687	1	1	yes	characteristic
237	C₂	#24908750	1	1	yes	characteristic
238	C₂	#24908786	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#24918808

C₂

yes

maximal, characteristic

#24908440

C₂

yes

maximal

#24906151

C₂

yes

maximal

#24905338

C₂

yes

maximal, characteristic

C₈₃×#1842

C₂

yes

maximal, characteristic

#19128258

C₂²

yes

—

—

—

—

C₂²

yes

—

—

—

—

—

C₂×C₄⋊C₈×C₈₃

—

C₂×C₄⋊C₈×C₈₃

C₂²

yes

characteristic

C₂×C₄⋊C₈×C₈₃

C₂²

yes

characteristic

C₄³×C₈₃

C₂²

yes

characteristic

C₂×Dic₃₃₂

—

C₂×#13050574

—

#14581792

D₄

yes

—

#14581792

D₄

yes

—

#14581784

—

#14581771

—

#14581771

—

C₄×Dic₁₆₆

—

C₄×Dic₁₆₆

—

#14581751

—

#14581726

—

C₄⋊(C₈₃⋊C₈)

—

C₄⋊(C₈₃⋊C₈)

—

#14581717

—

C₂²×C₈×C₈₃

—

C₂²×C₈×C₈₃

D₄

yes

—

C₂×C₄²×C₈₃

—

C₂×C₄²×C₈₃

—

C₂×C₄²×C₈₃

D₄

yes

characteristic

C₂×C₄²×C₈₃

D₄

yes

characteristic

C₂×C₄²×C₈₃

C₂³

yes

characteristic

C₄⋊C₈×C₈₃

—

C₄⋊C₈×C₈₃

—

C₄⋊C₈×C₈₃

—

C₂×Dic₁₆₆

—

C₂×Dic₁₆₆

—

Dic₃₃₂

—

#13050574

—

#13050574

—

C₂×C₈₃⋊C₈

—

C₄⋊Dic₈₃

—

C₄⋊Dic₈₃

—

C₄⋊Dic₈₃

—

C₄⋊Dic₈₃

—

Dic₈₃⋊C₄

—

Dic₈₃⋊C₄

—

C₂²⋊Dic₈₃

—

C₄×Dic₈₃

—

C₂²×C₄×C₈₃

—

C₂²×C₄×C₈₃

—

C₂²×C₄×C₈₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₈₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₈₃

#41

yes

characteristic

C₂×C₈×C₈₃

—

C₂×C₈×C₈₃

—

C₂×C₈×C₈₃

—

C₂×C₈×C₈₃

—

C₄²×C₈₃

—

C₄²×C₈₃

—

C₄²×C₈₃

—

C₄²×C₈₃

—

C₄²×C₈₃

—

C₄²×C₈₃

Q₁₆

yes

complemented

C₄²×C₈₃

C₂×D₄

yes

—

C₄²×C₈₃

#41

yes

—

C₂³×C₈₃

#121

yes

characteristic

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

#120

yes

characteristic

C₂×C₄×C₈₃

#121

yes

—

C₂×C₄×C₈₃

#123

yes

—

C₂×C₄×C₈₃

#124

yes

characteristic

C₂×C₄×C₈₃

C₂×Q₁₆

yes

C₂×C₄×C₈₃

yes

C₂×C₄×C₈₃

yes

—

C₂×Dic₈₃

—

C₂×Dic₈₃

—

Dic₁₆₆

—

Dic₁₆₆

—

Dic₁₆₆

—

C₈×C₈₃

—

C₈×C₈₃

—

C₈₃⋊C₈

—

C₂²×C₈₃

—

100

C₂²×C₈₃

—

101

C₂²×C₈₃

#394

yes

characteristic

102

C₂²×C₈₃

#467

yes

characteristic

103

C₂²×C₈₃

#470

yes

characteristic

104

C₄×C₈₃

—

105

C₄×C₈₃

—

106

C₄×C₈₃

—

107

C₄×C₈₃

—

108

C₄×C₈₃

#453

yes

characteristic

109

C₄×C₈₃

#456

yes

characteristic

110

C₄×C₈₃

#462

yes

—

111

C₄×C₈₃

#464

yes

—

112

Dic₈₃

—

113

Dic₈₃

—

114

#10522

—

maximal, Sylow

115

C₂×C₈₃

—

116

C₂×C₈₃

—

117

C₂×C₈₃

#2039

yes

characteristic

118

C₂×C₈₃

#2050

yes

characteristic

119

C₂×C₈₃

#2056

yes

characteristic

120

#3249

—

121

#1994

—

122

#1842

D₈₃

yes

characteristic

123

#1550

—

124

#1292

—

125

C₈₃

#10522

yes

characteristic, complemented, Sylow

126

#533

—

127

#477

—

166

—

128

#467

—

166

—

129

#462

—

166

—

130

#423

—

131

C₂×C₄⋊C₈

—

132

C₂×C₄⋊C₈

C₂×D₈₃

yes

characteristic

133

C₂×C₄⋊C₈

C₂×D₈₃

yes

characteristic

134

C₄³

C₂×D₈₃

yes

characteristic

135

#339

—

166

—

136

#339

—

166

—

137

#333

—

166

—

138

#332

—

166

—

139

C₂×Q₁₆

—

166

—

140

C₂×M₁₆

—

166

—

141

C₂²×C₈

—

142

C₂²×C₈

C₂²⋊D₈₃

yes

—

143

C₄⋊Q₈

—

144

C₄⋊Q₈

—

145

#125

—

166

—

146

C₂²⋊Q₈

—

166

—

147

C₂²⋊Q₈

—

166

—

148

C₄×Q₈

—

166

—

149

C₄×Q₈

—

166

—

150

#117

—

166

—

151

C₂×C₄²

—

152

C₂×C₄²

—

153

C₂×C₄²

D₃₃₂

yes

characteristic

154

C₂×C₄²

D₃₃₂

yes

characteristic

155

C₂×C₄²

C₂²×D₈₃

yes

characteristic

156

#107

—

166

—

157

C₄⋊C₈

—

158

C₄⋊C₈

—

159

C₄⋊C₈

—

160

C₄⋊C₈

—

166

—

161

C₄⋊C₈

—

166

—

162

#103

—

166

—

163

C₂×Q₈

—

166

—

164

C₂×Q₈

—

166

—

165

C₂²×C₄

—

166

C₂²×C₄

—

167

C₂²×C₄

C₂×C₂²⋊D₈₃

yes

characteristic

168

C₂²×C₄

C₂×D₃₃₂

yes

characteristic

169

C₂²×C₄

#13050590

yes

characteristic

170

Q₁₆

—

664

—

171

M₁₆

—

332

—

172

M₁₆

—

332

—

173

C₂×C₈

—

174

C₂×C₈

—

175

C₂×C₈

—

176

C₂×C₈

—

177

C₂×C₈

—

332

—

178

C₄⋊C₄

—

332

—

179

C₄⋊C₄

—

332

—

180

C₄⋊C₄

—

166

—

181

C₄⋊C₄

—

166

—

182

C₄⋊C₄

—

166

—

183

C₄⋊C₄

—

166

—

184

C₂²⋊C₄

—

332

—

185

C₄²

—

186

C₄²

—

187

C₄²

—

188

C₄²

—

189

C₄²

—

190

C₄²

—

332

—

191

C₄²

Dic₃₃₂

yes

complemented

192

C₄²

D₄×D₈₃

yes

—

193

C₄²

#13050591

yes

—

194

C₂³

#14581766

yes

characteristic

195

Q₈

—

332

—

196

Q₈

—

332

—

197

Q₈

—

664

—

198

C₂×C₄

—

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

—

332

—

208

C₂×C₄

—

332

—

209

C₂×C₄

#14581760

yes

characteristic

210

C₂×C₄

#14581767

yes

—

211

C₂×C₄

#14581777

yes

—

212

C₂×C₄

#14581781

yes

characteristic

213

C₂×C₄

C₂×Dic₃₃₂

yes

characteristic

214

C₂×C₄

#14581814

yes

characteristic

215

C₂×C₄

#14581825

yes

—

216

C₈

—

217

C₈

—

218

C₈

—

664

—

219

C₂²

—

220

C₂²

—

221

C₂²

#19127618

yes

characteristic

222

C₂²

#19127942

yes

characteristic

223

C₂²

#19127959

yes

characteristic

224

C₄

—

225

C₄

—

226

C₄

—

227

C₄

—

228

C₄

—

664

—

229

C₄

—

664

—

230

C₄

#19127868

yes

characteristic

231

C₄

#19127883

yes

characteristic

232

C₄

#19127912

yes

—

233

C₄

#19127924

yes

—

234

C₂

—

235

C₂

—

236

C₂

#24908687

yes

characteristic

237

C₂

#24908750

yes

characteristic

238

C₂

#24908786

yes

characteristic

	subgroup	G/H
center	C₂²	#19127618
commutator, cosocle	C₂×C₄²×C₈₃	C₂³
Frattini	C₂×C₄²	C₂²×D₈₃
Fitting	C₈₃×#1842	C₂
socle	C₂²×C₈₃	#394
prime radical	C₂³×C₈₃	#121
hypercenter	#1842	D₈₃
hypocenter	C₈₃	#10522
LCS	G ▷ C₂×C₄²×C₈₃ ▷ C₂²×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1842

subgroup

G/H

center

C₂²

#19127618

commutator, cosocle

C₂×C₄²×C₈₃

C₂³

Frattini

C₂×C₄²

C₂²×D₈₃

Fitting

C₈₃×#1842

C₂

C₂²×C₈₃

C₂³×C₈₃

D₈₃

C₈₃

G ▷ C₂×C₄²×C₈₃ ▷ C₂²×C₈₃ ▷ C₈₃

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1842

N	H ≅ G/N	type
71. C₄²×C₈₃	Q₁₆	semidirect
125. C₈₃	#10522	semidirect
191. C₄²	Dic₃₃₂	semidirect

H ≅ G/N

type

71. C₄²×C₈₃

Q₁₆

semidirect

125. C₈₃

#10522

semidirect

191. C₄²

Dic₃₃₂

semidirect

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

subgroup	index
#24918808	2
#24908440	2
#24906151	2
#24905338	2
C₈₃×#1842	2
#10522	83

subgroup

index

C₈₃×#1842

Subgroups — #35308532

Conjugacy classes of subgroups

Complements

Maximal subgroups