Group #36458709 — subgroups

Subgroups — #36458709

Order 22784.

364 conjugacy classes of subgroups; only the 97 normal subgroups are shown.

normal subgroups only

This group has 364 conjugacy classes of subgroups — too many to draw. Only its 97 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	#26030776	C₂	1	1	yes	maximal, characteristic
2	#26020975	C₂	1	1	yes	maximal, characteristic
3	#26018907	C₂	1	2	yes	maximal
4	#26018752	C₂	1	2	yes	maximal
5	C₈₉×#1275	C₂	1	1	yes	maximal, characteristic
6	#19152155	C₂²	1	2	yes	—
7	#19152007	—	2	2	no	—
8	#19152007	—	2	2	no	—
9	#19151636	—	2	1	no	—
10	#19151636	—	2	1	no	—
11	C₂×C₄⋊#10623494	C₂²	1	1	yes	characteristic
12	C₂×#15667941	—	2	1	no	—
13	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
14	#19151352	—	2	1	no	—
15	#19151346	—	2	2	no	—
16	#19151345	—	2	2	no	—
17	#19151336	—	2	2	no	—
18	#19151336	—	2	2	no	—
19	#431×C₈₉	C₂²	1	2	yes	—
20	C₂×#97×C₈₉	C₂²	1	1	yes	characteristic
21	C₂²×#10623494	—	2	1	no	—
22	#15668012	D₄	1	2	yes	—
23	#15668012	D₄	1	2	yes	—
24	#15668004	—	2	2	no	—
25	#15667991	—	2	2	no	—
26	#15667991	—	2	2	no	—
27	C₄×Dic₁₇₈	—	2	2	no	—
28	C₄×Dic₁₇₈	—	2	2	no	—
29	#15667971	—	2	2	no	—
30	C₂×C₄⋊Dic₈₉	—	2	1	no	—
31	C₂×C₄×Dic₈₉	—	2	1	no	—
32	#15667946	—	2	1	no	—
33	#15667946	—	2	1	no	—
34	#15667946	—	2	1	no	—
35	#15667946	—	2	1	no	—
36	#15667944	—	2	2	no	—
37	#15667944	—	2	2	no	—
38	C₄⋊#10623494	—	2	2	no	—
39	#15667941	—	4	2	no	—
40	#15667919	D₄	1	1	yes	characteristic
41	#15667919	D₄	1	1	yes	characteristic
42	C₂²×C₈×C₈₉	D₄	1	1	yes	characteristic
43	C₂²×C₈×C₈₉	D₄	1	1	yes	characteristic
44	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
45	C₄⋊C₈×C₈₉	—	2	2	no	—
46	C₂²⋊C₈×C₈₉	—	2	2	no	—
47	#97×C₈₉	—	2	2	no	—
48	C₄×C₈×C₈₉	—	2	2	no	—
49	C₂×Dic₁₇₈	—	2	2	no	—
50	C₂×Dic₁₇₈	—	2	2	no	—
51	C₂²×Dic₈₉	—	2	1	no	—
52	C₂²×Dic₈₉	—	2	1	no	—
53	C₂×#10623494	—	4	1	no	—
54	C₂×#10623494	—	4	1	no	—
55	C₂×#10623494	—	4	1	no	—
56	C₄⋊Dic₈₉	—	2	2	no	—
57	C₄⋊Dic₈₉	—	2	2	no	—
58	C₄⋊Dic₈₉	—	2	2	no	—
59	C₄⋊Dic₈₉	—	2	2	no	—
60	C₄⋊Dic₈₉	—	4	2	no	—
61	#13083553	—	4	2	no	—
62	#13083553	—	4	2	no	—
63	C₂²⋊Dic₈₉	—	4	2	no	—
64	C₄×Dic₈₉	—	4	2	no	—
65	C₄×Dic₈₉	—	4	1	no	—
66	C₄×Dic₈₉	—	4	1	no	—
67	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
68	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
69	C₂²×C₄×C₈₉	#41	1	1	yes	characteristic
70	C₂×C₈×C₈₉	—	2	1	no	—
71	C₂×C₈×C₈₉	—	2	1	no	—
72	C₂×C₈×C₈₉	—	2	1	no	—
73	C₂×C₈×C₈₉	—	2	1	no	—
74	C₂×C₈×C₈₉	—	4	2	no	—
75	C₂×C₈×C₈₉	SD₁₆	1	2	yes	—
76	C₂×C₈×C₈₉	Q₁₆	1	2	yes	—
77	C₄²×C₈₉	C₂×D₄	1	2	yes	—
78	C₄²×C₈₉	#41	1	2	yes	—
79	C₂³×C₈₉	#121	1	1	yes	characteristic
80	C₂×C₄×C₈₉	—	4	1	no	—
81	C₂×C₄×C₈₉	—	4	1	no	—
82	C₂×C₄×C₈₉	#120	1	1	yes	characteristic
83	C₂×C₄×C₈₉	#121	1	2	yes	—
84	C₂×C₄×C₈₉	#123	1	2	yes	—
85	C₂×C₄×C₈₉	#124	1	1	yes	characteristic
86	C₂×C₄×C₈₉	C₂×SD₁₆	1	1	yes	characteristic
87	C₂×C₄×C₈₉	C₂×Q₁₆	1	1	yes	characteristic
88	C₂×C₄×C₈₉	#137	1	1	yes	characteristic
89	C₂×C₄×C₈₉	#137	1	1	yes	characteristic
90	C₂×Dic₈₉	—	2	2	no	—
91	C₂×Dic₈₉	—	4	1	no	—
92	C₂×Dic₈₉	—	4	1	no	—
93	C₂×Dic₈₉	—	4	1	no	—
94	C₂×Dic₈₉	—	4	1	no	—
95	C₂×Dic₈₉	—	4	2	no	—
96	C₂×Dic₈₉	—	4	2	no	—
97	C₂×Dic₈₉	—	4	1	no	—
98	Dic₁₇₈	—	8	2	no	—
99	Dic₁₇₈	—	8	2	no	—
100	C₈×C₈₉	—	2	2	no	—
101	C₈×C₈₉	—	2	2	no	—
102	C₈×C₈₉	—	8	2	no	—
103	#10623494	—	8	1	no	—
104	C₂²×C₈₉	—	2	1	no	—
105	C₂²×C₈₉	—	2	1	no	—
106	C₂²×C₈₉	#394	1	1	yes	characteristic
107	C₂²×C₈₉	#461	1	1	yes	characteristic
108	C₂²×C₈₉	#462	1	1	yes	characteristic
109	C₄×C₈₉	—	2	2	no	—
110	C₄×C₈₉	—	2	2	no	—
111	C₄×C₈₉	#448	1	1	yes	characteristic
112	C₄×C₈₉	#451	1	1	yes	characteristic
113	C₄×C₈₉	#487	1	1	yes	characteristic
114	C₄×C₈₉	#491	1	1	yes	characteristic
115	Dic₈₉	—	4	2	no	—
116	Dic₈₉	—	8	1	no	—
117	Dic₈₉	—	8	2	no	—
118	Dic₈₉	—	8	2	no	—
119	#10548	—	89	1	no	maximal, Sylow
120	C₂×C₈₉	—	2	1	no	—
121	C₂×C₈₉	—	2	1	no	—
122	C₂×C₈₉	#2043	1	1	yes	characteristic
123	C₂×C₈₉	#2050	1	1	yes	characteristic
124	C₂×C₈₉	#2053	1	1	yes	characteristic
125	#3162	—	89	1	no	—
126	#1940	—	89	1	no	—
127	#1542	—	89	2	no	—
128	#1503	—	89	2	no	—
129	#1275	D₈₉	1	1	yes	characteristic
130	C₈₉	#10548	1	1	yes	characteristic, complemented, Sylow
131	#533	—	89	2	no	—
132	#501	—	178	2	no	—
133	#501	—	178	2	no	—
134	#431	C₂×D₈₉	1	2	yes	—
135	#427	—	178	1	no	—
136	#427	—	178	1	no	—
137	C₂×C₄⋊C₈	—	89	1	no	—
138	C₂×C₄⋊C₈	—	178	1	no	—
139	C₂×#97	C₂×D₈₉	1	1	yes	characteristic
140	C₄×C₄⋊C₄	—	89	1	no	—
141	#336	—	178	1	no	—
142	#333	—	178	2	no	—
143	#332	—	178	2	no	—
144	#328	—	178	2	no	—
145	#328	—	178	2	no	—
146	C₂²×C₈	—	178	1	no	—
147	C₂²×C₈	D₃₅₆	1	1	yes	characteristic
148	C₂²×C₈	D₃₅₆	1	1	yes	characteristic
149	C₄⋊Q₈	—	89	2	no	—
150	C₄⋊Q₈	—	89	2	no	—
151	#125	—	178	2	no	—
152	C₂²⋊Q₈	—	178	2	no	—
153	C₂²⋊Q₈	—	178	2	no	—
154	C₄×Q₈	—	178	2	no	—
155	C₄×Q₈	—	178	2	no	—
156	#117	—	178	2	no	—
157	C₂×C₄⋊C₄	—	178	1	no	—
158	C₂×C₄²	—	178	1	no	—
159	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
160	#107	—	178	1	no	—
161	#107	—	178	1	no	—
162	#107	—	178	1	no	—
163	#107	—	178	1	no	—
164	#106	—	178	2	no	—
165	#106	—	178	2	no	—
166	C₄⋊C₈	—	2	2	no	—
167	C₄⋊C₈	—	356	2	no	—
168	C₄⋊C₈	—	178	2	no	—
169	C₂²⋊C₈	—	2	2	no	—
170	#97	—	2	2	no	—
171	C₄×C₈	—	2	2	no	—
172	#95	—	89	1	no	—
173	#95	—	89	1	no	—
174	C₂×Q₈	—	178	2	no	—
175	C₂×Q₈	—	178	2	no	—
176	C₂²×C₄	—	178	1	no	—
177	C₂²×C₄	—	178	1	no	—
178	C₂²×C₄	D₄×D₈₉	1	1	yes	characteristic
179	C₂²×C₄	C₂×D₃₅₆	1	1	yes	characteristic
180	C₂²×C₄	#13083575	1	1	yes	characteristic
181	C₂×C₈	—	2	1	no	—
182	C₂×C₈	—	2	1	no	—
183	C₂×C₈	—	2	1	no	—
184	C₂×C₈	—	2	1	no	—
185	C₂×C₈	—	4	2	no	—
186	C₂×C₈	—	356	1	no	—
187	C₂×C₈	—	356	1	no	—
188	C₂×C₈	—	356	1	no	—
189	C₂×C₈	#13083563	1	2	yes	—
190	C₂×C₈	Dic₃₅₆	1	2	yes	—
191	C₄⋊C₄	—	356	2	no	—
192	C₄⋊C₄	—	356	2	no	—
193	C₄⋊C₄	—	356	2	no	—
194	C₄⋊C₄	—	178	2	no	—
195	C₄⋊C₄	—	178	2	no	—
196	C₄⋊C₄	—	178	2	no	—
197	C₄⋊C₄	—	178	2	no	—
198	C₂²⋊C₄	—	356	2	no	—
199	C₄²	—	356	2	no	—
200	C₄²	—	356	1	no	—
201	C₄²	—	356	1	no	—
202	C₄²	D₄×D₈₉	1	2	yes	—
203	C₄²	#13083574	1	2	yes	—
204	C₂³	#15667987	1	1	yes	characteristic
205	Q₈	—	712	2	no	—
206	Q₈	—	712	2	no	—
207	C₂×C₄	—	4	1	no	—
208	C₂×C₄	—	4	1	no	—
209	C₂×C₄	—	356	1	no	—
210	C₂×C₄	—	356	1	no	—
211	C₂×C₄	—	356	1	no	—
212	C₂×C₄	—	356	1	no	—
213	C₂×C₄	—	356	2	no	—
214	C₂×C₄	—	356	2	no	—
215	C₂×C₄	—	356	1	no	—
216	C₂×C₄	—	178	2	no	—
217	C₂×C₄	#15667982	1	1	yes	characteristic
218	C₂×C₄	#15667985	1	2	yes	—
219	C₂×C₄	#15667997	1	2	yes	—
220	C₂×C₄	#15668000	1	1	yes	characteristic
221	C₂×C₄	C₂×#13083563	1	1	yes	characteristic
222	C₂×C₄	C₂×Dic₃₅₆	1	1	yes	characteristic
223	C₂×C₄	#15668045	1	1	yes	characteristic
224	C₂×C₄	#15668045	1	1	yes	characteristic
225	C₈	—	2	2	no	—
226	C₈	—	2	2	no	—
227	C₈	—	8	2	no	—
228	C₈	—	712	1	no	—
229	C₂²	—	2	1	no	—
230	C₂²	—	2	1	no	—
231	C₂²	#19151516	1	1	yes	characteristic
232	C₂²	#19151804	1	1	yes	characteristic
233	C₂²	#19151809	1	1	yes	characteristic
234	C₄	—	2	2	no	—
235	C₄	—	2	2	no	—
236	C₄	—	356	2	no	—
237	C₄	—	712	1	no	—
238	C₄	—	712	2	no	—
239	C₄	—	712	2	no	—
240	C₄	#19151739	1	1	yes	characteristic
241	C₄	#19151756	1	1	yes	characteristic
242	C₄	#19151949	1	1	yes	characteristic
243	C₄	#19151967	1	1	yes	characteristic
244	C₂	—	2	1	no	—
245	C₂	—	2	1	no	—
246	C₂	#26021499	1	1	yes	characteristic
247	C₂	#26021540	1	1	yes	characteristic
248	C₂	#26021559	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#26030776

C₂

yes

maximal, characteristic

#26020975

C₂

yes

maximal, characteristic

#26018907

C₂

yes

maximal

#26018752

C₂

yes

maximal

C₈₉×#1275

C₂

yes

maximal, characteristic

#19152155

C₂²

yes

—

—

—

—

—

C₂²

yes

characteristic

C₂×#15667941

—

C₄×C₄⋊Dic₈₉

C₂²

yes

—

—

—

—

—

#431×C₈₉

C₂²

yes

—

C₂×#97×C₈₉

C₂²

yes

characteristic

C₂²×#10623494

—

#15668012

D₄

yes

—

#15668012

D₄

yes

—

#15668004

—

#15667991

—

#15667991

—

C₄×Dic₁₇₈

—

C₄×Dic₁₇₈

—

#15667971

—

C₂×C₄⋊Dic₈₉

—

C₂×C₄×Dic₈₉

—

—

—

—

—

—

—

—

—

D₄

yes

characteristic

#15667919

D₄

yes

characteristic

C₂²×C₈×C₈₉

D₄

yes

characteristic

C₂²×C₈×C₈₉

D₄

yes

characteristic

C₂×C₄²×C₈₉

C₂³

yes

characteristic

C₄⋊C₈×C₈₉

—

C₂²⋊C₈×C₈₉

—

#97×C₈₉

—

C₄×C₈×C₈₉

—

C₂×Dic₁₇₈

—

C₂×Dic₁₇₈

—

C₂²×Dic₈₉

—

C₂²×Dic₈₉

—

C₂×#10623494

—

C₂×#10623494

—

C₂×#10623494

—

C₄⋊Dic₈₉

—

C₄⋊Dic₈₉

—

C₄⋊Dic₈₉

—

C₄⋊Dic₈₉

—

C₄⋊Dic₈₉

—

#13083553

—

#13083553

—

C₂²⋊Dic₈₉

—

C₄×Dic₈₉

—

C₄×Dic₈₉

—

C₄×Dic₈₉

—

C₂²×C₄×C₈₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₈₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₈₉

#41

yes

characteristic

C₂×C₈×C₈₉

—

C₂×C₈×C₈₉

—

C₂×C₈×C₈₉

—

C₂×C₈×C₈₉

—

C₂×C₈×C₈₉

—

C₂×C₈×C₈₉

SD₁₆

yes

—

C₂×C₈×C₈₉

Q₁₆

yes

—

C₄²×C₈₉

C₂×D₄

yes

—

C₄²×C₈₉

#41

yes

—

C₂³×C₈₉

#121

yes

characteristic

C₂×C₄×C₈₉

—

C₂×C₄×C₈₉

—

C₂×C₄×C₈₉

#120

yes

characteristic

C₂×C₄×C₈₉

#121

yes

—

C₂×C₄×C₈₉

#123

yes

—

C₂×C₄×C₈₉

#124

yes

characteristic

C₂×C₄×C₈₉

C₂×SD₁₆

yes

characteristic

C₂×C₄×C₈₉

C₂×Q₁₆

yes

C₂×C₄×C₈₉

yes

C₂×C₄×C₈₉

yes

C₂×Dic₈₉

—

C₂×Dic₈₉

—

C₂×Dic₈₉

—

C₂×Dic₈₉

—

C₂×Dic₈₉

—

C₂×Dic₈₉

—

C₂×Dic₈₉

—

C₂×Dic₈₉

—

Dic₁₇₈

—

Dic₁₇₈

—

100

C₈×C₈₉

—

101

C₈×C₈₉

—

102

C₈×C₈₉

—

103

#10623494

—

104

C₂²×C₈₉

—

105

C₂²×C₈₉

—

106

C₂²×C₈₉

#394

yes

characteristic

107

C₂²×C₈₉

#461

yes

characteristic

108

C₂²×C₈₉

#462

yes

characteristic

109

C₄×C₈₉

—

110

C₄×C₈₉

—

111

C₄×C₈₉

#448

yes

characteristic

112

C₄×C₈₉

#451

yes

characteristic

113

C₄×C₈₉

#487

yes

characteristic

114

C₄×C₈₉

#491

yes

characteristic

115

Dic₈₉

—

116

Dic₈₉

—

117

Dic₈₉

—

118

Dic₈₉

—

119

#10548

—

maximal, Sylow

120

C₂×C₈₉

—

121

C₂×C₈₉

—

122

C₂×C₈₉

#2043

yes

characteristic

123

C₂×C₈₉

#2050

yes

characteristic

124

C₂×C₈₉

#2053

yes

characteristic

125

#3162

—

126

#1940

—

127

#1542

—

128

#1503

—

129

#1275

D₈₉

yes

characteristic

130

C₈₉

#10548

yes

characteristic, complemented, Sylow

131

#533

—

132

#501

—

178

—

133

#501

—

178

—

134

#431

C₂×D₈₉

yes

—

135

#427

—

178

—

136

#427

—

178

—

137

C₂×C₄⋊C₈

—

138

C₂×C₄⋊C₈

—

178

—

139

C₂×#97

C₂×D₈₉

yes

characteristic

140

C₄×C₄⋊C₄

—

141

#336

—

178

—

142

#333

—

178

—

143

#332

—

178

—

144

#328

—

178

—

145

#328

—

178

—

146

C₂²×C₈

—

178

—

147

C₂²×C₈

D₃₅₆

yes

characteristic

148

C₂²×C₈

D₃₅₆

yes

characteristic

149

C₄⋊Q₈

—

150

C₄⋊Q₈

—

151

#125

—

178

—

152

C₂²⋊Q₈

—

178

—

153

C₂²⋊Q₈

—

178

—

154

C₄×Q₈

—

178

—

155

C₄×Q₈

—

178

—

156

#117

—

178

—

157

C₂×C₄⋊C₄

—

178

—

158

C₂×C₄²

—

178

—

159

C₂×C₄²

C₂²×D₈₉

yes

characteristic

160

#107

—

178

—

161

#107

—

178

—

162

#107

—

178

—

163

#107

—

178

—

164

#106

—

178

—

165

#106

—

178

—

166

C₄⋊C₈

—

167

C₄⋊C₈

—

356

—

168

C₄⋊C₈

—

178

—

169

C₂²⋊C₈

—

170

#97

—

171

C₄×C₈

—

172

#95

—

173

#95

—

174

C₂×Q₈

—

178

—

175

C₂×Q₈

—

178

—

176

C₂²×C₄

—

178

—

177

C₂²×C₄

—

178

—

178

C₂²×C₄

D₄×D₈₉

yes

characteristic

179

C₂²×C₄

C₂×D₃₅₆

yes

characteristic

180

C₂²×C₄

#13083575

yes

characteristic

181

C₂×C₈

—

182

C₂×C₈

—

183

C₂×C₈

—

184

C₂×C₈

—

185

C₂×C₈

—

186

C₂×C₈

—

356

—

187

C₂×C₈

—

356

—

188

C₂×C₈

—

356

—

189

C₂×C₈

#13083563

yes

—

190

C₂×C₈

Dic₃₅₆

yes

—

191

C₄⋊C₄

—

356

—

192

C₄⋊C₄

—

356

—

193

C₄⋊C₄

—

356

—

194

C₄⋊C₄

—

178

—

195

C₄⋊C₄

—

178

—

196

C₄⋊C₄

—

178

—

197

C₄⋊C₄

—

178

—

198

C₂²⋊C₄

—

356

—

199

C₄²

—

356

—

200

C₄²

—

356

—

201

C₄²

—

356

—

202

C₄²

D₄×D₈₉

yes

—

203

C₄²

#13083574

yes

—

204

C₂³

#15667987

yes

characteristic

205

Q₈

—

712

—

206

Q₈

—

712

—

207

C₂×C₄

—

208

C₂×C₄

—

209

C₂×C₄

—

356

—

210

C₂×C₄

—

356

—

211

C₂×C₄

—

356

—

212

C₂×C₄

—

356

—

213

C₂×C₄

—

356

—

214

C₂×C₄

—

356

—

215

C₂×C₄

—

356

—

216

C₂×C₄

—

178

—

217

C₂×C₄

#15667982

yes

characteristic

218

C₂×C₄

#15667985

yes

—

219

C₂×C₄

#15667997

yes

—

220

C₂×C₄

#15668000

yes

characteristic

221

C₂×C₄

C₂×#13083563

yes

characteristic

222

C₂×C₄

C₂×Dic₃₅₆

yes

characteristic

223

C₂×C₄

#15668045

yes

characteristic

224

C₂×C₄

#15668045

yes

characteristic

225

C₈

—

226

C₈

—

227

C₈

—

228

C₈

—

712

—

229

C₂²

—

230

C₂²

—

231

C₂²

#19151516

yes

characteristic

232

C₂²

#19151804

yes

characteristic

233

C₂²

#19151809

yes

characteristic

234

C₄

—

235

C₄

—

236

C₄

—

356

—

237

C₄

—

712

—

238

C₄

—

712

—

239

C₄

—

712

—

240

C₄

#19151739

yes

characteristic

241

C₄

#19151756

yes

characteristic

242

C₄

#19151949

yes

characteristic

243

C₄

#19151967

yes

characteristic

244

C₂

—

245

C₂

—

246

C₂

#26021499

yes

characteristic

247

C₂

#26021540

yes

characteristic

248

C₂

#26021559

yes

characteristic

	subgroup	G/H
center	C₂×C₄	#15668000
commutator, cosocle	C₂×C₄²×C₈₉	C₂³
Frattini	C₂×C₄²	C₂²×D₈₉
Fitting	C₈₉×#1275	C₂
socle	C₂²×C₈₉	#394
prime radical	C₂³×C₈₉	#121
hypercenter	#1275	D₈₉
hypocenter	C₈₉	#10548
LCS	G ▷ C₂×C₄²×C₈₉ ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1275

subgroup

G/H

center

C₂×C₄

#15668000

commutator, cosocle

C₂×C₄²×C₈₉

C₂³

Frattini

C₂×C₄²

C₂²×D₈₉

Fitting

C₈₉×#1275

C₂

C₂²×C₈₉

C₂³×C₈₉

D₈₉

C₈₉

G ▷ C₂×C₄²×C₈₉ ▷ C₂²×C₈₉ ▷ C₈₉

UCS

C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1275

N	H ≅ G/N	type
130. C₈₉	#10548	semidirect

H ≅ G/N

type

130. C₈₉

#10548

semidirect

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

subgroup	index
#26030776	2
#26020975	2
#26018907	2
#26018752	2
C₈₉×#1275	2
#10548	89

subgroup

index

C₈₉×#1275

Subgroups — #36458709

Conjugacy classes of subgroups

Complements

Maximal subgroups