Group #35238455 — subgroups

Subgroups — C₈₃×#10631 #35238455

Order 21248.

362 conjugacy classes of subgroups; only the 106 normal subgroups are shown.

normal subgroups only

This group has 362 conjugacy classes of subgroups — too many to draw. Only its 106 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	C₈₃×#1961	C₂	1	1	yes	maximal, characteristic
2	C₈₃×#1849	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₃×#1545	C₂	1	2	yes	maximal
4	C₈₃×#1286	C₂	1	2	yes	maximal, complemented
5	C₈₃×#1281	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#127×C₈₃	C₂²	1	1	yes	characteristic
7	#431×C₈₃	C₂²	1	2	yes	—
8	C₂×#108×C₈₃	—	2	1	no	—
9	C₂×#108×C₈₃	—	2	1	no	—
10	#423×C₈₃	C₂²	1	2	yes	—
11	C₂×#102×C₈₃	—	2	1	no	—
12	C₂×#102×C₈₃	—	2	1	no	—
13	C₂×#97×C₈₃	C₂²	1	1	yes	characteristic
14	#382×C₈₃	C₂²	1	1	yes	characteristic
15	#331×C₈₃	—	2	4	no	—
16	C₂²×D₄×C₈₃	—	2	1	no	—
17	C₂²×D₄×C₈₃	—	2	2	no	—
18	C₂×M₁₆×C₈₃	—	2	2	no	—
19	C₂²×C₈×C₈₃	D₄	1	1	yes	characteristic
20	C₂²×C₈×C₈₃	D₄	1	1	yes	characteristic
21	#127×C₈₃	—	2	1	no	—
22	#127×C₈₃	—	2	2	no	—
23	#127×C₈₃	D₄	1	2	yes	—
24	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
25	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
26	#108×C₈₃	—	4	2	no	—
27	#108×C₈₃	—	4	2	no	—
28	C₄⋊C₈×C₈₃	—	2	2	no	—
29	C₄⋊C₈×C₈₃	—	2	2	no	—
30	C₄⋊C₈×C₈₃	—	2	2	no	—
31	#102×C₈₃	—	4	2	no	—
32	#102×C₈₃	—	4	2	no	—
33	C₂²⋊C₈×C₈₃	—	2	2	no	—
34	#97×C₈₃	—	2	2	no	—
35	C₄×C₈×C₈₃	—	2	2	no	—
36	#95×C₈₃	—	2	2	no	—
37	C₂⁴×C₈₃	—	4	1	no	—
38	C₂×D₄×C₈₃	—	2	2	no	—
39	C₂×D₄×C₈₃	—	2	4	no	—
40	C₂×D₄×C₈₃	—	4	1	no	—
41	C₂×D₄×C₈₃	—	4	2	no	—
42	C₂×D₄×C₈₃	—	4	1	no	—
43	C₂×D₄×C₈₃	—	4	1	no	—
44	C₂×D₄×C₈₃	—	4	1	no	—
45	C₂×D₄×C₈₃	—	4	1	no	—
46	C₂×D₄×C₈₃	—	8	4	no	—
47	C₂²×C₄×C₈₃	—	4	1	no	—
48	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
49	C₂²×C₄×C₈₃	#41	1	2	yes	—
50	M₁₆×C₈₃	—	4	2	no	—
51	M₁₆×C₈₃	—	4	2	no	—
52	C₂×C₈×C₈₃	—	2	1	no	—
53	C₂×C₈×C₈₃	—	2	1	no	—
54	C₂×C₈×C₈₃	—	2	1	no	—
55	C₂×C₈×C₈₃	—	2	1	no	—
56	C₂×C₈×C₈₃	—	4	2	no	—
57	C₂×C₈×C₈₃	—	4	2	no	—
58	C₂×C₈×C₈₃	D₈	1	2	yes	—
59	C₂×C₈×C₈₃	SD₁₆	1	2	yes	—
60	C₄⋊C₄×C₈₃	—	4	1	no	—
61	C₄⋊C₄×C₈₃	—	4	1	no	—
62	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
63	C₄²×C₈₃	#41	1	1	yes	characteristic
64	C₄²×C₈₃	#41	1	2	yes	—
65	C₂³×C₈₃	—	4	2	no	—
66	C₂³×C₈₃	—	8	4	no	—
67	C₂³×C₈₃	—	8	1	no	—
68	C₂³×C₈₃	—	8	1	no	—
69	C₂³×C₈₃	#124	1	1	yes	characteristic
70	D₄×C₈₃	—	4	2	no	—
71	D₄×C₈₃	—	4	2	no	—
72	D₄×C₈₃	—	8	4	no	—
73	D₄×C₈₃	—	8	4	no	—
74	D₄×C₈₃	—	8	1	no	—
75	D₄×C₈₃	—	8	1	no	—
76	C₂×C₄×C₈₃	—	4	2	no	—
77	C₂×C₄×C₈₃	—	8	2	no	—
78	C₂×C₄×C₈₃	—	8	1	no	—
79	C₂×C₄×C₈₃	#121	1	1	yes	characteristic
80	C₂×C₄×C₈₃	#123	1	2	yes	—
81	C₂×C₄×C₈₃	#123	1	1	yes	characteristic
82	C₂×C₄×C₈₃	#126	1	2	yes	—
83	C₂×C₄×C₈₃	C₂×D₈	1	1	yes	characteristic
84	C₂×C₄×C₈₃	C₂×SD₁₆	1	1	yes	characteristic
85	C₂×C₄×C₈₃	AGL(1,ℤ/8)	1	1	yes	characteristic
86	C₂×C₄×C₈₃	#137	1	1	yes	characteristic
87	C₈×C₈₃	—	2	2	no	—
88	C₈×C₈₃	—	2	2	no	—
89	C₈×C₈₃	—	8	2	no	—
90	C₈×C₈₃	—	8	2	no	—
91	C₂²×C₈₃	—	2	2	no	—
92	C₂²×C₈₃	—	8	2	no	—
93	C₂²×C₈₃	—	8	4	no	—
94	C₂²×C₈₃	—	16	2	no	—
95	C₂²×C₈₃	—	16	2	no	—
96	C₂²×C₈₃	#397	1	1	yes	characteristic
97	C₂²×C₈₃	#486	1	1	yes	characteristic
98	C₂²×C₈₃	#489	1	1	yes	characteristic
99	C₄×C₈₃	—	2	2	no	—
100	C₄×C₈₃	—	2	2	no	—
101	C₄×C₈₃	—	16	1	no	—
102	C₄×C₈₃	#459	1	1	yes	characteristic
103	C₄×C₈₃	#461	1	1	yes	characteristic
104	C₄×C₈₃	#480	1	1	yes	characteristic
105	C₄×C₈₃	#481	1	1	yes	characteristic
106	#10631	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
107	C₂×C₈₃	—	2	1	no	—
108	C₂×C₈₃	—	2	1	no	—
109	C₂×C₈₃	—	16	2	no	—
110	C₂×C₈₃	#2071	1	1	yes	characteristic
111	C₂×C₈₃	#2081	1	2	yes	—
112	#1961	C₂×C₈₃	1	1	yes	characteristic
113	#1849	C₂×C₈₃	1	1	yes	characteristic, complemented
114	#1545	C₂×C₈₃	1	2	yes	—
115	#1286	C₂×C₈₃	1	2	yes	complemented
116	#1281	C₂×C₈₃	1	1	yes	characteristic, complemented
117	C₈₃	#10631	1	1	yes	characteristic, direct product factor, Sylow
118	C₂×#127	C₂²×C₈₃	1	1	yes	characteristic
119	#431	C₂²×C₈₃	1	2	yes	—
120	C₂×#108	—	2	1	no	—
121	C₂×#108	—	2	1	no	—
122	#423	C₂²×C₈₃	1	2	yes	—
123	C₂×#102	—	2	1	no	—
124	C₂×#102	—	2	1	no	—
125	C₂×#97	C₂²×C₈₃	1	1	yes	characteristic
126	#382	C₂²×C₈₃	1	1	yes	characteristic
127	#331	—	2	4	no	—
128	C₂²×D₄	—	2	1	no	—
129	C₂²×D₄	—	2	2	no	—
130	C₂×M₁₆	—	2	2	no	—
131	C₂²×C₈	D₄×C₈₃	1	1	yes	characteristic
132	C₂²×C₈	D₄×C₈₃	1	1	yes	characteristic
133	#127	—	2	1	no	—
134	#127	—	2	2	no	—
135	#127	D₄×C₈₃	1	2	yes	—
136	C₂×C₄⋊C₄	—	2	1	no	—
137	C₂×C₄²	C₂³×C₈₃	1	1	yes	characteristic
138	#108	—	4	2	no	—
139	#108	—	4	2	no	—
140	C₄⋊C₈	—	2	2	no	—
141	C₄⋊C₈	—	2	2	no	—
142	C₄⋊C₈	—	2	2	no	—
143	#102	—	4	2	no	—
144	#102	—	4	2	no	—
145	C₂²⋊C₈	—	2	2	no	—
146	#97	—	2	2	no	—
147	C₄×C₈	—	2	2	no	—
148	#95	—	2	2	no	—
149	C₂⁴	—	4	1	no	—
150	C₂×D₄	—	2	2	no	—
151	C₂×D₄	—	2	4	no	—
152	C₂×D₄	—	4	1	no	—
153	C₂×D₄	—	4	2	no	—
154	C₂×D₄	—	4	1	no	—
155	C₂×D₄	—	4	1	no	—
156	C₂×D₄	—	4	1	no	—
157	C₂×D₄	—	4	1	no	—
158	C₂×D₄	—	8	4	no	—
159	C₂²×C₄	—	4	1	no	—
160	C₂²×C₄	C₂×D₄×C₈₃	1	1	yes	characteristic
161	C₂²×C₄	#41×C₈₃	1	2	yes	—
162	M₁₆	—	4	2	no	—
163	M₁₆	—	4	2	no	—
164	C₂×C₈	—	2	1	no	—
165	C₂×C₈	—	2	1	no	—
166	C₂×C₈	—	2	1	no	—
167	C₂×C₈	—	2	1	no	—
168	C₂×C₈	—	4	2	no	—
169	C₂×C₈	—	4	2	no	—
170	C₂×C₈	D₈×C₈₃	1	2	yes	—
171	C₂×C₈	SD₁₆×C₈₃	1	2	yes	—
172	C₄⋊C₄	—	4	1	no	—
173	C₄⋊C₄	—	4	1	no	—
174	C₄²	C₂×D₄×C₈₃	1	1	yes	characteristic
175	C₄²	#41×C₈₃	1	1	yes	characteristic
176	C₄²	#41×C₈₃	1	2	yes	—
177	C₂³	—	4	2	no	—
178	C₂³	—	8	4	no	—
179	C₂³	—	8	1	no	—
180	C₂³	—	8	1	no	—
181	C₂³	#124×C₈₃	1	1	yes	characteristic
182	D₄	—	4	2	no	—
183	D₄	—	4	2	no	—
184	D₄	—	8	4	no	—
185	D₄	—	8	4	no	—
186	D₄	—	8	1	no	—
187	D₄	—	8	1	no	—
188	C₂×C₄	—	4	2	no	—
189	C₂×C₄	—	8	2	no	—
190	C₂×C₄	—	8	1	no	—
191	C₂×C₄	#121×C₈₃	1	1	yes	characteristic
192	C₂×C₄	#123×C₈₃	1	2	yes	—
193	C₂×C₄	#123×C₈₃	1	1	yes	characteristic
194	C₂×C₄	#126×C₈₃	1	2	yes	—
195	C₂×C₄	C₂×D₈×C₈₃	1	1	yes	characteristic
196	C₂×C₄	C₂×SD₁₆×C₈₃	1	1	yes	characteristic
197	C₂×C₄	AGL(1,ℤ/8)×C₈₃	1	1	yes	characteristic
198	C₂×C₄	#137×C₈₃	1	1	yes	characteristic
199	C₈	—	2	2	no	—
200	C₈	—	2	2	no	—
201	C₈	—	8	2	no	—
202	C₈	—	8	2	no	—
203	C₂²	—	2	2	no	—
204	C₂²	—	8	2	no	—
205	C₂²	—	8	4	no	—
206	C₂²	—	16	2	no	—
207	C₂²	—	16	2	no	—
208	C₂²	#397×C₈₃	1	1	yes	characteristic
209	C₂²	#486×C₈₃	1	1	yes	characteristic
210	C₂²	#489×C₈₃	1	1	yes	characteristic
211	C₄	—	2	2	no	—
212	C₄	—	2	2	no	—
213	C₄	—	16	1	no	—
214	C₄	#459×C₈₃	1	1	yes	characteristic
215	C₄	#461×C₈₃	1	1	yes	characteristic
216	C₄	#480×C₈₃	1	1	yes	characteristic
217	C₄	#481×C₈₃	1	1	yes	characteristic
218	C₂	—	2	1	no	—
219	C₂	—	2	1	no	—
220	C₂	—	16	2	no	—
221	C₂	C₈₃×#2071	1	1	yes	characteristic
222	C₂	C₈₃×#2081	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₈₃×#1961

C₂

yes

maximal, characteristic

C₈₃×#1849

C₂

yes

maximal, characteristic, complemented

C₈₃×#1545

C₂

yes

maximal

C₈₃×#1286

C₂

yes

maximal, complemented

C₈₃×#1281

C₂

yes

maximal, characteristic, complemented

C₂×#127×C₈₃

C₂²

yes

characteristic

#431×C₈₃

C₂²

yes

—

C₂×#108×C₈₃

—

C₂×#108×C₈₃

—

#423×C₈₃

C₂²

yes

—

C₂×#102×C₈₃

—

C₂×#102×C₈₃

—

C₂×#97×C₈₃

C₂²

yes

characteristic

#382×C₈₃

C₂²

yes

characteristic

#331×C₈₃

—

C₂²×D₄×C₈₃

—

C₂²×D₄×C₈₃

—

C₂×M₁₆×C₈₃

—

C₂²×C₈×C₈₃

D₄

yes

characteristic

C₂²×C₈×C₈₃

D₄

yes

characteristic

#127×C₈₃

—

#127×C₈₃

—

#127×C₈₃

D₄

yes

—

C₂×C₄⋊C₄×C₈₃

—

C₂×C₄²×C₈₃

C₂³

yes

characteristic

#108×C₈₃

—

#108×C₈₃

—

C₄⋊C₈×C₈₃

—

C₄⋊C₈×C₈₃

—

C₄⋊C₈×C₈₃

—

#102×C₈₃

—

#102×C₈₃

—

C₂²⋊C₈×C₈₃

—

#97×C₈₃

—

C₄×C₈×C₈₃

—

#95×C₈₃

—

C₂⁴×C₈₃

—

C₂×D₄×C₈₃

—

C₂×D₄×C₈₃

—

C₂×D₄×C₈₃

—

C₂×D₄×C₈₃

—

C₂×D₄×C₈₃

—

C₂×D₄×C₈₃

—

C₂×D₄×C₈₃

—

C₂×D₄×C₈₃

—

C₂×D₄×C₈₃

—

C₂²×C₄×C₈₃

—

C₂²×C₄×C₈₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₈₃

#41

yes

—

M₁₆×C₈₃

—

M₁₆×C₈₃

—

C₂×C₈×C₈₃

—

C₂×C₈×C₈₃

—

C₂×C₈×C₈₃

—

C₂×C₈×C₈₃

—

C₂×C₈×C₈₃

—

C₂×C₈×C₈₃

—

C₂×C₈×C₈₃

D₈

yes

—

C₂×C₈×C₈₃

SD₁₆

yes

—

C₄⋊C₄×C₈₃

—

C₄⋊C₄×C₈₃

—

C₄²×C₈₃

C₂×D₄

yes

C₄²×C₈₃

yes

C₄²×C₈₃

yes

—

C₂³×C₈₃

—

C₂³×C₈₃

—

C₂³×C₈₃

—

C₂³×C₈₃

—

C₂³×C₈₃

#124

yes

characteristic

D₄×C₈₃

—

D₄×C₈₃

—

D₄×C₈₃

—

D₄×C₈₃

—

D₄×C₈₃

—

D₄×C₈₃

—

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

—

C₂×C₄×C₈₃

#121

yes

characteristic

C₂×C₄×C₈₃

#123

yes

—

C₂×C₄×C₈₃

#123

yes

characteristic

C₂×C₄×C₈₃

#126

yes

—

C₂×C₄×C₈₃

C₂×D₈

yes

characteristic

C₂×C₄×C₈₃

C₂×SD₁₆

yes

C₂×C₄×C₈₃

yes

C₂×C₄×C₈₃

yes

C₈×C₈₃

—

C₈×C₈₃

—

C₈×C₈₃

—

C₈×C₈₃

—

C₂²×C₈₃

—

C₂²×C₈₃

—

C₂²×C₈₃

—

C₂²×C₈₃

—

C₂²×C₈₃

—

C₂²×C₈₃

yes

C₂²×C₈₃

yes

C₂²×C₈₃

yes

C₄×C₈₃

—

100

C₄×C₈₃

—

101

C₄×C₈₃

—

102

C₄×C₈₃

#459

yes

characteristic

103

C₄×C₈₃

#461

yes

characteristic

104

C₄×C₈₃

#480

yes

characteristic

105

C₄×C₈₃

#481

yes

characteristic

106

#10631

C₈₃

yes

maximal, characteristic, direct product factor, Sylow

107

C₂×C₈₃

—

108

C₂×C₈₃

—

109

C₂×C₈₃

—

110

C₂×C₈₃

#2071

yes

characteristic

111

C₂×C₈₃

#2081

yes

—

112

#1961

C₂×C₈₃

yes

characteristic

113

#1849

C₂×C₈₃

yes

characteristic, complemented

114

#1545

C₂×C₈₃

yes

—

115

#1286

C₂×C₈₃

yes

complemented

116

#1281

C₂×C₈₃

yes

characteristic, complemented

117

C₈₃

#10631

yes

characteristic, direct product factor, Sylow

118

C₂×#127

C₂²×C₈₃

yes

characteristic

119

#431

C₂²×C₈₃

yes

—

120

C₂×#108

—

121

C₂×#108

—

122

#423

C₂²×C₈₃

yes

—

123

C₂×#102

—

124

C₂×#102

—

125

C₂×#97

C₂²×C₈₃

yes

characteristic

126

#382

C₂²×C₈₃

yes

characteristic

127

#331

—

128

C₂²×D₄

—

129

C₂²×D₄

—

130

C₂×M₁₆

—

131

C₂²×C₈

D₄×C₈₃

yes

characteristic

132

C₂²×C₈

D₄×C₈₃

yes

characteristic

133

#127

—

134

#127

—

135

#127

D₄×C₈₃

yes

—

136

C₂×C₄⋊C₄

—

137

C₂×C₄²

C₂³×C₈₃

yes

characteristic

138

#108

—

139

#108

—

140

C₄⋊C₈

—

141

C₄⋊C₈

—

142

C₄⋊C₈

—

143

#102

—

144

#102

—

145

C₂²⋊C₈

—

146

#97

—

147

C₄×C₈

—

148

#95

—

149

C₂⁴

—

150

C₂×D₄

—

151

C₂×D₄

—

152

C₂×D₄

—

153

C₂×D₄

—

154

C₂×D₄

—

155

C₂×D₄

—

156

C₂×D₄

—

157

C₂×D₄

—

158

C₂×D₄

—

159

C₂²×C₄

—

160

C₂²×C₄

C₂×D₄×C₈₃

yes

characteristic

161

C₂²×C₄

#41×C₈₃

yes

—

162

M₁₆

—

163

M₁₆

—

164

C₂×C₈

—

165

C₂×C₈

—

166

C₂×C₈

—

167

C₂×C₈

—

168

C₂×C₈

—

169

C₂×C₈

—

170

C₂×C₈

D₈×C₈₃

yes

—

171

C₂×C₈

SD₁₆×C₈₃

yes

—

172

C₄⋊C₄

—

173

C₄⋊C₄

—

174

C₄²

C₂×D₄×C₈₃

yes

characteristic

175

C₄²

#41×C₈₃

yes

characteristic

176

C₄²

#41×C₈₃

yes

—

177

C₂³

—

178

C₂³

—

179

C₂³

—

180

C₂³

—

181

C₂³

#124×C₈₃

yes

characteristic

182

D₄

—

183

D₄

—

184

D₄

—

185

D₄

—

186

D₄

—

187

D₄

—

188

C₂×C₄

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

#121×C₈₃

yes

characteristic

192

C₂×C₄

#123×C₈₃

yes

—

193

C₂×C₄

#123×C₈₃

yes

characteristic

194

C₂×C₄

#126×C₈₃

yes

—

195

C₂×C₄

C₂×D₈×C₈₃

yes

characteristic

196

C₂×C₄

C₂×SD₁₆×C₈₃

yes

characteristic

197

C₂×C₄

AGL(1,ℤ/8)×C₈₃

yes

characteristic

198

C₂×C₄

#137×C₈₃

yes

characteristic

199

C₈

—

200

C₈

—

201

C₈

—

202

C₈

—

203

C₂²

—

204

C₂²

—

205

C₂²

—

206

C₂²

—

207

C₂²

—

208

C₂²

#397×C₈₃

yes

characteristic

209

C₂²

#486×C₈₃

yes

characteristic

210

C₂²

#489×C₈₃

yes

characteristic

211

C₄

—

212

C₄

—

213

C₄

—

214

C₄

#459×C₈₃

yes

characteristic

215

C₄

#461×C₈₃

yes

characteristic

216

C₄

#480×C₈₃

yes

characteristic

217

C₄

#481×C₈₃

yes

characteristic

218

C₂

—

219

C₂

—

220

C₂

—

221

C₂

C₈₃×#2071

yes

characteristic

222

C₂

C₈₃×#2081

yes

—

	subgroup	G/H
center, socle	C₂²×C₈₃	#397
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₈₃
prime radical	C₂×#127×C₈₃	C₂²
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₈₃ ◁ C₂×C₄²×C₈₃ ◁ G

subgroup

G/H

center, socle

C₂²×C₈₃

#397

commutator, Frattini, cosocle

C₂×C₄²

C₂³×C₈₃

prime radical

C₂×#127×C₈₃

C₂²

LCS

G ▷ C₂×C₄² ▷ C₂² ▷ C₁

UCS

C₁ ◁ C₂²×C₈₃ ◁ C₂×C₄²×C₈₃ ◁ G

N	H ≅ G/N	type
2. C₈₃×#1849	C₂	semidirect
4. C₈₃×#1286	C₂	semidirect
5. C₈₃×#1281	C₂	semidirect
106. #10631	C₈₃	direct (N × H)
113. #1849	C₂×C₈₃	semidirect
115. #1286	C₂×C₈₃	semidirect
116. #1281	C₂×C₈₃	semidirect
117. C₈₃	#10631	direct (N × H)

H ≅ G/N

type

2. C₈₃×#1849

C₂

semidirect

4. C₈₃×#1286

C₂

semidirect

5. C₈₃×#1281

C₂

semidirect

106. #10631

C₈₃

direct (N × H)

113. #1849

C₂×C₈₃

semidirect

115. #1286

C₂×C₈₃

semidirect

116. #1281

C₂×C₈₃

semidirect

117. C₈₃

#10631

direct (N × H)

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

subgroup	index
C₈₃×#1961	2
C₈₃×#1849	2
C₈₃×#1545	2
C₈₃×#1286	2
C₈₃×#1281	2
#10631	83

subgroup

index

C₈₃×#1961

C₈₃×#1849

C₈₃×#1545

C₈₃×#1286

C₈₃×#1281

#10631

Subgroups — C₈₃×#10631 #35238455

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C83×#10631 #35238455

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₃×#10631 #35238455