Group #24989528 — subgroups

Subgroups — #24989528

Order 11008.

398 conjugacy classes of subgroups; only the 121 normal subgroups are shown.

normal subgroups only

This group has 398 conjugacy classes of subgroups — too many to draw. Only its 121 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×#14583023	C₂	1	1	yes	maximal, characteristic
2	#19134588	C₂	1	2	yes	maximal
3	#19133353	C₂	1	2	yes	maximal
4	#19132470	C₂	1	1	yes	maximal, characteristic
5	C₄₃×#1292	C₂	1	1	yes	maximal, characteristic
6	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
7	#14583023	—	2	2	no	—
8	#14583023	—	2	2	no	—
9	#14582923	C₂²	1	2	yes	—
10	C₂×Dic₄₃⋊C₈	C₄	1	2	yes	—
11	C₂×#13063243	—	2	2	no	—
12	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
13	C₂×C₈×Dic₄₃	C₄	1	2	yes	—
14	#14582667	—	2	2	no	—
15	#14582651	—	2	2	no	—
16	#14582651	—	2	2	no	—
17	C₄₃×#423	C₂²	1	2	yes	—
18	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
19	C₂²×Dic₈₆	D₄	1	1	yes	characteristic
20	C₂×#10621877	—	2	2	no	—
21	C₂²×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
22	C₂²×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
23	C₄×Dic₈₆	—	2	2	no	—
24	C₄×Dic₈₆	—	2	2	no	—
25	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
26	C₂×Dic₄₃⋊C₄	Q₈	1	2	yes	—
27	C₂×C₄×Dic₄₃	C₂×C₄	1	2	yes	—
28	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
29	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
30	Dic₄₃⋊C₈	—	2	4	no	—
31	#13063243	—	4	4	no	—
32	C₄×C₄₃⋊C₈	D₄	1	2	yes	—
33	C₄×C₄₃⋊C₈	D₄	1	2	yes	—
34	C₈×Dic₄₃	—	2	2	no	—
35	C₈×Dic₄₃	—	2	2	no	—
36	C₂×M₁₆×C₄₃	—	2	2	no	—
37	C₂²×C₈×C₄₃	C₂×C₄	1	2	yes	—
38	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
39	C₄⋊C₈×C₄₃	—	2	2	no	—
40	C₄⋊C₈×C₄₃	—	2	2	no	—
41	C₄⋊C₈×C₄₃	—	2	2	no	—
42	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
43	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
44	C₂²×C₄×C₄₃	C₂×Q₈	1	1	yes	characteristic
45	C₂²×Dic₄₃	C₄⋊C₄	1	2	yes	—
46	C₂²×Dic₄₃	C₄⋊C₄	1	2	yes	—
47	C₂×Dic₈₆	—	2	2	no	—
48	C₂×Dic₈₆	—	2	2	no	—
49	C₂×Dic₈₆	D₈	1	2	yes	—
50	C₂×Dic₈₆	Q₁₆	1	2	yes	—
51	M₁₆×C₄₃	—	4	2	no	—
52	M₁₆×C₄₃	—	4	2	no	—
53	C₂×C₈×C₄₃	—	2	2	no	—
54	C₂×C₈×C₄₃	—	4	2	no	—
55	C₂×C₈×C₄₃	—	4	2	no	—
56	C₄²×C₄₃	C₂×D₄	1	2	yes	—
57	C₄²×C₄₃	#41	1	2	yes	—
58	C₄⋊Dic₄₃	—	2	2	no	—
59	Dic₄₃⋊C₄	—	2	4	no	—
60	C₄×Dic₄₃	—	2	2	no	—
61	C₄×Dic₄₃	—	2	2	no	—
62	#10621877	—	4	2	no	—
63	#10621877	—	4	2	no	—
64	C₂×C₄₃⋊C₈	—	2	2	no	—
65	C₂×C₄₃⋊C₈	—	4	1	no	—
66	C₂×C₄₃⋊C₈	—	4	2	no	—
67	C₂×C₄₃⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
68	C₂×C₄₃⋊C₈	C₂²⋊C₄	1	2	yes	—
69	C₂×C₄₃⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
70	C₂³×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
71	C₂×C₄×C₄₃	—	2	1	no	—
72	C₂×C₄×C₄₃	—	2	1	no	—
73	C₂×C₄×C₄₃	—	4	1	no	—
74	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
75	C₂×C₄×C₄₃	#117	1	1	yes	characteristic
76	C₂×C₄×C₄₃	#121	1	2	yes	—
77	C₂×C₄×C₄₃	C₂²⋊Q₈	1	2	yes	—
78	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
79	C₂×C₄×C₄₃	C₂×Q₁₆	1	1	yes	characteristic
80	C₂×C₄×C₄₃	#135	1	2	yes	—
81	C₂×Dic₄₃	—	2	2	no	—
82	C₂×Dic₄₃	—	2	2	no	—
83	C₂×Dic₄₃	—	2	2	no	—
84	C₂×Dic₄₃	—	4	2	no	—
85	C₂×Dic₄₃	#107	1	4	yes	—
86	Dic₈₆	—	2	4	no	—
87	Dic₈₆	—	2	4	no	—
88	C₈×C₄₃	—	4	2	no	—
89	C₈×C₄₃	—	8	2	no	—
90	C₄₃⋊C₈	—	2	1	no	—
91	C₄₃⋊C₈	—	2	2	no	—
92	C₄₃⋊C₈	—	8	2	no	—
93	C₄₃⋊C₈	#101	1	2	yes	complemented
94	#8617	—	43	1	no	maximal, Sylow
95	C₂²×C₄₃	—	2	1	no	—
96	C₂²×C₄₃	—	2	1	no	—
97	C₂²×C₄₃	#380	1	1	yes	characteristic
98	C₂²×C₄₃	C₂×#107	1	1	yes	characteristic
99	C₂²×C₄₃	#427	1	1	yes	characteristic
100	C₄×C₄₃	—	2	1	no	—
101	C₄×C₄₃	—	2	2	no	—
102	C₄×C₄₃	C₂×#101	1	1	yes	characteristic
103	C₄×C₄₃	#413	1	1	yes	characteristic
104	C₄×C₄₃	#466	1	2	yes	—
105	C₄×C₄₃	#467	1	2	yes	—
106	Dic₄₃	—	2	4	no	—
107	Dic₄₃	—	4	2	no	—
108	C₂×C₈×Q₈	—	43	1	no	—
109	#1801	—	43	2	no	—
110	#1567	—	43	2	no	—
111	#1292	—	43	1	no	—
112	#1292	D₄₃	1	1	yes	characteristic
113	C₂×C₄₃	—	2	1	no	—
114	C₂×C₄₃	—	2	1	no	—
115	C₂×C₄₃	#1801	1	1	yes	characteristic
116	C₂×C₄₃	#1808	1	1	yes	characteristic
117	C₂×C₄₃	#1813	1	1	yes	characteristic
118	C₂×C₄×Q₈	—	43	1	no	—
119	C₈×Q₈	—	86	2	no	—
120	C₈×Q₈	—	86	2	no	—
121	#423	—	43	2	no	—
122	#423	C₂×D₄₃	1	2	yes	—
123	C₂×C₄⋊C₈	—	43	2	no	—
124	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
125	C₂×#101	—	86	2	no	—
126	C₂×C₄×C₈	—	43	1	no	—
127	C₂×C₄×C₈	—	43	2	no	—
128	#343	—	86	2	no	—
129	#335	—	86	2	no	—
130	#335	—	86	2	no	—
131	C₄₃	#8617	1	1	yes	characteristic, complemented, Sylow
132	C₂²×Q₈	—	43	1	no	—
133	C₂×M₁₆	—	2	2	no	—
134	C₂×M₁₆	—	86	2	no	—
135	C₂²×C₈	—	43	1	no	—
136	C₂²×C₈	—	43	1	no	—
137	C₂²×C₈	C₄×D₄₃	1	2	yes	—
138	C₄×Q₈	—	86	2	no	—
139	C₄×Q₈	—	86	2	no	—
140	C₂×C₄⋊C₄	—	43	1	no	—
141	C₂×C₄⋊C₄	—	43	2	no	—
142	C₂×C₄²	—	43	2	no	—
143	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
144	C₄⋊C₈	—	2	2	no	—
145	C₄⋊C₈	—	2	2	no	—
146	C₄⋊C₈	—	2	2	no	—
147	C₄⋊C₈	—	86	4	no	—
148	C₄⋊C₈	—	86	2	no	—
149	C₄⋊C₈	—	86	2	no	—
150	#101	—	172	4	no	—
151	C₄×C₈	—	43	2	no	—
152	C₄×C₈	—	43	2	no	—
153	C₄×C₈	—	86	2	no	—
154	C₄×C₈	—	86	2	no	—
155	C₂×Q₈	—	43	2	no	—
156	C₂×Q₈	—	43	2	no	—
157	C₂×Q₈	—	86	2	no	—
158	C₂×Q₈	—	86	2	no	—
159	C₂²×C₄	—	43	2	no	—
160	C₂²×C₄	—	43	2	no	—
161	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
162	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
163	C₂²×C₄	Q₈×D₄₃	1	1	yes	characteristic
164	M₁₆	—	4	2	no	—
165	M₁₆	—	4	2	no	—
166	M₁₆	—	172	2	no	—
167	M₁₆	—	172	2	no	—
168	C₂×C₈	—	2	2	no	—
169	C₂×C₈	—	4	2	no	—
170	C₂×C₈	—	4	2	no	—
171	C₂×C₈	—	43	1	no	—
172	C₂×C₈	—	43	1	no	—
173	C₂×C₈	—	43	2	no	—
174	C₂×C₈	—	86	2	no	—
175	C₂×C₈	—	172	1	no	—
176	C₂×C₈	—	172	2	no	—
177	C₄⋊C₄	—	86	2	no	—
178	C₄⋊C₄	—	86	4	no	—
179	C₄²	—	86	2	no	—
180	C₄²	—	86	2	no	—
181	C₄²	#10621898	1	2	yes	—
182	C₄²	D₄×D₄₃	1	2	yes	—
183	C₂³	C₄⋊C₄×D₄₃	1	1	yes	characteristic
184	Q₈	—	86	4	no	—
185	Q₈	—	86	4	no	—
186	C₂×C₄	—	2	1	no	—
187	C₂×C₄	—	2	1	no	—
188	C₂×C₄	—	4	1	no	—
189	C₂×C₄	—	43	4	no	—
190	C₂×C₄	—	86	2	no	—
191	C₂×C₄	—	86	2	no	—
192	C₂×C₄	—	86	2	no	—
193	C₂×C₄	—	172	2	no	—
194	C₂×C₄	C₂²⋊C₄×D₄₃	1	1	yes	characteristic
195	C₂×C₄	#13063282	1	1	yes	characteristic
196	C₂×C₄	#13063298	1	2	yes	—
197	C₂×C₄	#13063303	1	2	yes	—
198	C₂×C₄	D₈×D₄₃	1	1	yes	characteristic
199	C₂×C₄	Q₁₆×D₄₃	1	1	yes	characteristic
200	C₂×C₄	#13063346	1	2	yes	—
201	C₈	—	4	2	no	—
202	C₈	—	8	2	no	—
203	C₈	—	43	2	no	—
204	C₈	—	86	1	no	—
205	C₈	—	86	2	no	—
206	C₈	—	344	2	no	—
207	C₂²	—	2	1	no	—
208	C₂²	—	2	1	no	—
209	C₂²	#14582758	1	1	yes	characteristic
210	C₂²	#107×D₄₃	1	1	yes	characteristic
211	C₂²	#14582934	1	1	yes	characteristic
212	C₄	—	2	1	no	—
213	C₄	—	2	2	no	—
214	C₄	—	86	4	no	—
215	C₄	—	172	2	no	—
216	C₄	#101×D₄₃	1	1	yes	characteristic
217	C₄	#14582880	1	1	yes	characteristic
218	C₄	#14583134	1	2	yes	—
219	C₄	#14583139	1	2	yes	—
220	C₂	—	2	1	no	—
221	C₂	—	2	1	no	—
222	C₂	#19134590	1	1	yes	characteristic
223	C₂	#19134623	1	1	yes	characteristic
224	C₂	#19134644	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#14583023

C₂

yes

maximal, characteristic

#19134588

C₂

yes

maximal

#19133353

C₂

yes

maximal

#19132470

C₂

yes

maximal, characteristic

C₄₃×#1292

C₂

yes

maximal, characteristic

C₂×C₄×Dic₈₆

C₂²

yes

—

—

C₂²

yes

—

C₂×Dic₄₃⋊C₈

C₄

yes

—

C₂×#13063243

—

C₂×C₄×C₄₃⋊C₈

C₂²

yes

characteristic

C₂×C₈×Dic₄₃

C₄

yes

—

#14582667

—

#14582651

—

#14582651

—

C₄₃×#423

C₂²

yes

—

C₂×C₄⋊C₈×C₄₃

C₂²

yes

characteristic

C₂²×Dic₈₆

D₄

yes

characteristic

C₂×#10621877

—

C₂²×C₄₃⋊C₈

C₂×C₄

yes

characteristic

C₂²×C₄₃⋊C₈

C₂×C₄

yes

characteristic

C₄×Dic₈₆

—

C₄×Dic₈₆

—

C₂×C₄⋊Dic₄₃

D₄

yes

characteristic

C₂×Dic₄₃⋊C₄

Q₈

yes

—

C₂×C₄×Dic₄₃

C₂×C₄

yes

—

C₄⋊(C₄₃⋊C₈)

—

C₄⋊(C₄₃⋊C₈)

—

Dic₄₃⋊C₈

—

#13063243

—

C₄×C₄₃⋊C₈

D₄

yes

—

C₄×C₄₃⋊C₈

D₄

yes

—

C₈×Dic₄₃

—

C₈×Dic₄₃

—

C₂×M₁₆×C₄₃

—

C₂²×C₈×C₄₃

C₂×C₄

yes

—

C₂×C₄²×C₄₃

C₂³

yes

characteristic

C₄⋊C₈×C₄₃

—

C₄⋊C₈×C₄₃

—

C₄⋊C₈×C₄₃

—

C₂²×C₄×C₄₃

C₂²×C₄

yes

characteristic

C₂²×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₄₃

C₂×Q₈

yes

characteristic

C₂²×Dic₄₃

C₄⋊C₄

yes

—

C₂²×Dic₄₃

C₄⋊C₄

yes

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

D₈

yes

—

C₂×Dic₈₆

Q₁₆

yes

—

M₁₆×C₄₃

—

M₁₆×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₄²×C₄₃

C₂×D₄

yes

—

C₄²×C₄₃

#41

yes

—

C₄⋊Dic₄₃

—

Dic₄₃⋊C₄

—

C₄×Dic₄₃

—

C₄×Dic₄₃

—

#10621877

—

#10621877

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

C₂²⋊C₄

yes

characteristic

C₂×C₄₃⋊C₈

C₂²⋊C₄

yes

—

C₂×C₄₃⋊C₈

C₂²⋊C₄

yes

characteristic

C₂³×C₄₃

C₂×C₄⋊C₄

yes

characteristic

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

C₂×C₂²⋊C₄

yes

C₂×C₄×C₄₃

yes

C₂×C₄×C₄₃

yes

—

C₂×C₄×C₄₃

C₂²⋊Q₈

yes

—

C₂×C₄×C₄₃

C₂×D₈

yes

characteristic

C₂×C₄×C₄₃

C₂×Q₁₆

yes

characteristic

C₂×C₄×C₄₃

#135

yes

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

#107

yes

—

Dic₈₆

—

Dic₈₆

—

C₈×C₄₃

—

C₈×C₄₃

—

C₄₃⋊C₈

—

C₄₃⋊C₈

—

C₄₃⋊C₈

—

C₄₃⋊C₈

yes

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

yes

C₂²×C₄₃

yes

C₂²×C₄₃

yes

100

C₄×C₄₃

—

101

C₄×C₄₃

—

102

C₄×C₄₃

C₂×#101

yes

characteristic

103

C₄×C₄₃

#413

yes

characteristic

104

C₄×C₄₃

#466

yes

—

105

C₄×C₄₃

#467

yes

—

106

Dic₄₃

—

107

Dic₄₃

—

108

C₂×C₈×Q₈

—

109

#1801

—

110

#1567

—

111

#1292

—

112

#1292

D₄₃

yes

characteristic

113

C₂×C₄₃

—

114

C₂×C₄₃

—

115

C₂×C₄₃

#1801

yes

characteristic

116

C₂×C₄₃

#1808

yes

characteristic

117

C₂×C₄₃

#1813

yes

characteristic

118

C₂×C₄×Q₈

—

119

C₈×Q₈

—

120

C₈×Q₈

—

121

#423

—

122

#423

C₂×D₄₃

yes

—

123

C₂×C₄⋊C₈

—

124

C₂×C₄⋊C₈

C₂×D₄₃

yes

characteristic

125

C₂×#101

—

126

C₂×C₄×C₈

—

127

C₂×C₄×C₈

—

128

#343

—

129

#335

—

130

#335

—

131

C₄₃

#8617

yes

characteristic, complemented, Sylow

132

C₂²×Q₈

—

133

C₂×M₁₆

—

134

C₂×M₁₆

—

135

C₂²×C₈

—

136

C₂²×C₈

—

137

C₂²×C₈

C₄×D₄₃

yes

—

138

C₄×Q₈

—

139

C₄×Q₈

—

140

C₂×C₄⋊C₄

—

141

C₂×C₄⋊C₄

—

142

C₂×C₄²

—

143

C₂×C₄²

C₂²×D₄₃

yes

characteristic

144

C₄⋊C₈

—

145

C₄⋊C₈

—

146

C₄⋊C₈

—

147

C₄⋊C₈

—

148

C₄⋊C₈

—

149

C₄⋊C₈

—

150

#101

—

172

—

151

C₄×C₈

—

152

C₄×C₈

—

153

C₄×C₈

—

154

C₄×C₈

—

155

C₂×Q₈

—

156

C₂×Q₈

—

157

C₂×Q₈

—

158

C₂×Q₈

—

159

C₂²×C₄

—

160

C₂²×C₄

—

161

C₂²×C₄

C₂×C₄×D₄₃

yes

characteristic

162

C₂²×C₄

D₄×D₄₃

yes

characteristic

163

C₂²×C₄

Q₈×D₄₃

yes

characteristic

164

M₁₆

—

165

M₁₆

—

166

M₁₆

—

172

—

167

M₁₆

—

172

—

168

C₂×C₈

—

169

C₂×C₈

—

170

C₂×C₈

—

171

C₂×C₈

—

172

C₂×C₈

—

173

C₂×C₈

—

174

C₂×C₈

—

175

C₂×C₈

—

172

—

176

C₂×C₈

—

172

—

177

C₄⋊C₄

—

178

C₄⋊C₄

—

179

C₄²

—

180

C₄²

—

181

C₄²

#10621898

yes

—

182

C₄²

D₄×D₄₃

yes

—

183

C₂³

C₄⋊C₄×D₄₃

yes

characteristic

184

Q₈

—

185

Q₈

—

186

C₂×C₄

—

187

C₂×C₄

—

188

C₂×C₄

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

—

172

—

194

C₂×C₄

C₂²⋊C₄×D₄₃

yes

characteristic

195

C₂×C₄

#13063282

yes

characteristic

196

C₂×C₄

#13063298

yes

—

197

C₂×C₄

#13063303

yes

—

198

C₂×C₄

D₈×D₄₃

yes

characteristic

199

C₂×C₄

Q₁₆×D₄₃

yes

characteristic

200

C₂×C₄

#13063346

yes

—

201

C₈

—

202

C₈

—

203

C₈

—

204

C₈

—

205

C₈

—

206

C₈

—

344

—

207

C₂²

—

208

C₂²

—

209

C₂²

#14582758

yes

characteristic

210

C₂²

#107×D₄₃

yes

characteristic

211

C₂²

#14582934

yes

characteristic

212

C₄

—

213

C₄

—

214

C₄

—

215

C₄

—

172

—

216

C₄

#101×D₄₃

yes

characteristic

217

C₄

#14582880

yes

characteristic

218

C₄

#14583134

yes

—

219

C₄

#14583139

yes

—

220

C₂

—

221

C₂

—

222

C₂

#19134590

yes

characteristic

223

C₂

#19134623

yes

characteristic

224

C₂

#19134644

yes

characteristic

	subgroup	G/H
center	C₂²	#14582758
commutator	C₂²×C₄×C₄₃	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₄₃
Fitting	C₄₃×#1292	C₂
socle	C₂²×C₄₃	#380
prime radical	C₂³×C₄₃	C₂×C₄⋊C₄
cosocle	C₂×C₄²×C₄₃	C₂³
hypercenter	#1292	D₄₃
hypocenter	C₄₃	#8617
LCS	G ▷ C₂²×C₄×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1292

subgroup

G/H

center

C₂²

#14582758

commutator

C₂²×C₄×C₄₃

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₄₃

Fitting

C₄₃×#1292

C₂

socle

C₂²×C₄₃

#380

prime radical

C₂³×C₄₃

C₂×C₄⋊C₄

cosocle

C₂×C₄²×C₄₃

C₂³

D₄₃

C₄₃

G ▷ C₂²×C₄×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1292

N	H ≅ G/N	type
93. C₄₃⋊C₈	#101	semidirect
131. C₄₃	#8617	semidirect

H ≅ G/N

type

93. C₄₃⋊C₈

#101

semidirect

131. C₄₃

#8617

semidirect

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

subgroup	index
C₂×#14583023	2
#19134588	2
#19133353	2
#19132470	2
C₄₃×#1292	2
#8617	43

subgroup

index

C₄₃×#1292

Subgroups — #24989528

Conjugacy classes of subgroups

Complements

Maximal subgroups