Group #26031907 — subgroups

Subgroups — #26031907

Order 11392.

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

normal subgroups only

This group has 476 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×#15668041	C₂	1	2	yes	maximal, complemented
2	#19152256	C₂	1	2	yes	maximal, complemented
3	#19151841	C₂	1	2	yes	maximal, complemented
4	#19151817	C₂	1	2	yes	maximal, complemented
5	#19151752	C₂	1	2	yes	maximal, complemented
6	#19151740	C₂	1	2	yes	maximal, complemented
7	C₄×Dic₃₅₆	C₂	1	1	yes	maximal, characteristic, complemented
8	#19151677	C₂	1	1	yes	maximal, characteristic, complemented
9	#495×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#13083573	C₂²	1	2	yes	—
11	C₂×Q₈×D₈₉	C₂²	1	2	yes	—
12	#15668041	—	2	8	no	—
13	C₂×Dic₃₅₆	C₂²	1	1	yes	characteristic
14	C₂×#13083564	C₂²	1	2	yes	—
15	C₂×#13083562	C₂²	1	2	yes	—
16	C₂×#13083557	C₂²	1	2	yes	—
17	#15667998	—	2	2	no	—
18	#15667989	—	2	2	no	—
19	#15667988	C₂²	1	2	yes	—
20	#15667985	—	2	2	no	—
21	#15667983	C₂²	1	2	yes	—
22	C₄×Dic₁₇₈	C₂²	1	2	yes	—
23	C₄×D₃₅₆	C₂²	1	1	yes	characteristic
24	#15667972	—	2	2	no	—
25	#15667946	C₂²	1	1	yes	characteristic
26	C₄⋊#10623494	C₂²	1	1	yes	characteristic
27	#15667937	C₂²	1	2	yes	—
28	#15667936	C₂²	1	2	yes	—
29	#15667933	C₂²	1	2	yes	—
30	#15667924	C₂²	1	2	yes	—
31	C₂×Q₁₆×C₈₉	C₂²	1	1	yes	characteristic
32	C₂×SD₁₆×C₈₉	C₂²	1	2	yes	—
33	C₂×D₈×C₈₉	C₂²	1	1	yes	characteristic
34	#124×C₈₉	C₂²	1	2	yes	—
35	C₄×C₈×C₈₉	C₂²	1	1	yes	characteristic
36	#13083573	—	2	4	no	—
37	#13083573	—	4	2	no	—
38	C₂×Dic₁₇₈	—	2	2	no	—
39	C₂×Dic₁₇₈	C₂³	1	2	yes	—
40	Q₈×D₈₉	—	2	4	no	—
41	Q₈×D₈₉	—	4	2	no	—
42	C₂×D₃₅₆	D₄	1	1	yes	characteristic
43	C₂×C₂²⋊D₈₉	—	2	2	no	—
44	C₂×C₂²⋊D₈₉	—	2	2	no	—
45	C₂²×Dic₈₉	—	2	2	no	—
46	C₂×C₄×D₈₉	—	2	2	no	—
47	C₂×C₄×D₈₉	C₂³	1	2	yes	—
48	Dic₃₅₆	D₄	1	4	yes	complemented
49	#13083564	—	2	4	no	—
50	#13083562	—	2	4	no	—
51	#13083557	—	2	4	no	—
52	C₂×#10623494	C₂³	1	2	yes	—
53	C₄⋊Dic₈₉	D₄	1	1	yes	characteristic
54	C₄⋊Dic₈₉	C₂³	1	2	yes	—
55	#13083553	—	2	2	no	—
56	#13083553	—	2	2	no	—
57	C₂²⋊Dic₈₉	—	2	2	no	—
58	#13083551	—	2	2	no	—
59	#13083551	D₄	1	2	yes	—
60	C₄×Dic₈₉	—	2	2	no	—
61	C₂×Q₈×C₈₉	C₂³	1	2	yes	—
62	C₂×D₄×C₈₉	C₂³	1	2	yes	—
63	Q₁₆×C₈₉	—	4	1	no	—
64	SD₁₆×C₈₉	—	2	4	no	—
65	D₈×C₈₉	—	4	1	no	—
66	C₂×C₈×C₈₉	C₂³	1	1	yes	characteristic
67	C₂×C₈×C₈₉	C₂³	1	1	yes	characteristic
68	C₂²⋊C₄×C₈₉	—	2	2	no	—
69	C₂²⋊C₄×C₈₉	—	2	2	no	—
70	C₄²×C₈₉	C₂³	1	1	yes	characteristic
71	C₂³×C₈₉	—	2	2	no	—
72	C₂²×D₈₉	C₂×D₄	1	2	yes	—
73	Q₈×C₈₉	—	2	2	no	—
74	Q₈×C₈₉	—	2	2	no	—
75	D₄×C₈₉	—	2	2	no	—
76	D₄×C₈₉	—	2	2	no	—
77	C₂×C₄×C₈₉	—	2	2	no	—
78	C₂×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
79	C₂×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
80	C₂×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
81	C₂²⋊D₈₉	—	4	4	no	—
82	C₂²⋊D₈₉	—	4	4	no	—
83	C₂×Dic₈₉	—	2	2	no	—
84	C₂×Dic₈₉	—	2	2	no	—
85	C₂×Dic₈₉	—	4	4	no	—
86	C₂×Dic₈₉	C₂×D₄	1	2	yes	—
87	D₃₅₆	—	4	1	no	—
88	C₄×D₈₉	—	2	2	no	—
89	C₄×D₈₉	—	2	2	no	—
90	C₄×D₈₉	—	4	4	no	—
91	Dic₁₇₈	—	2	2	no	—
92	Dic₁₇₈	—	4	4	no	—
93	Dic₁₇₈	C₂×D₄	1	4	yes	—
94	C₈×C₈₉	—	2	1	no	—
95	C₈×C₈₉	C₂×D₄	1	2	yes	—
96	#10623494	—	2	2	no	—
97	C₂²×C₈₉	—	4	2	no	—
98	C₂²×C₈₉	—	4	2	no	—
99	C₂²×C₈₉	—	4	2	no	—
100	C₂²×C₈₉	C₂²×D₄	1	1	yes	characteristic
101	C₂×D₈₉	—	2	2	no	—
102	C₂×D₈₉	—	2	2	no	—
103	C₂×D₈₉	—	2	2	no	—
104	C₄×C₈₉	—	2	1	no	—
105	C₄×C₈₉	—	2	1	no	—
106	C₄×C₈₉	—	4	2	no	—
107	C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
108	C₄×C₈₉	H(5,𝔽₂)	1	1	yes	characteristic
109	Dic₈₉	—	2	4	no	—
110	Dic₈₉	—	2	2	no	—
111	Dic₈₉	—	4	2	no	—
112	C₂×C₈₉	—	8	2	no	—
113	C₂×C₈₉	D₄²	1	1	yes	characteristic
114	C₂×C₈₉	#575	1	1	yes	characteristic
115	C₂×C₈₉	#578	1	1	yes	characteristic
116	D₈₉	—	4	2	no	—
117	#3277	—	89	1	no	maximal, Sylow
118	C₈₉	#3277	1	1	yes	characteristic, complemented, Sylow
119	C₂×#137	—	89	2	no	—
120	#548	—	89	2	no	—
121	#495	D₈₉	1	1	yes	characteristic, complemented
122	#468	—	89	2	no	—
123	#464	—	89	2	no	—
124	#451	—	89	2	no	—
125	#449	—	89	2	no	—
126	C₄×Q₁₆	—	89	1	no	—
127	#436	—	89	1	no	—
128	C₂×#41	—	89	2	no	—
129	C₂²×Q₈	—	89	2	no	—
130	#137	—	178	8	no	—
131	C₂×Q₁₆	—	89	2	no	—
132	C₂×Q₁₆	—	89	1	no	—
133	C₂×Q₁₆	C₂×D₈₉	1	1	yes	characteristic
134	C₂×SD₁₆	—	89	2	no	—
135	C₂×SD₁₆	C₂×D₈₉	1	2	yes	—
136	C₂×D₈	C₂×D₈₉	1	1	yes	characteristic
137	C₂×M₁₆	—	89	2	no	—
138	#124	—	178	2	no	—
139	#124	C₂×D₈₉	1	2	yes	—
140	C₂²⋊Q₈	—	89	2	no	—
141	C₂²⋊Q₈	—	178	2	no	—
142	#121	—	89	2	no	—
143	#121	—	178	2	no	—
144	C₄×Q₈	—	89	2	no	—
145	C₄×D₄	—	89	1	no	—
146	C₄×D₄	—	178	2	no	—
147	#107	—	89	1	no	—
148	C₄⋊C₈	—	89	1	no	—
149	#103	—	89	2	no	—
150	#103	—	89	2	no	—
151	#102	—	89	2	no	—
152	C₂²⋊C₈	—	89	2	no	—
153	C₄×C₈	C₂×D₈₉	1	1	yes	characteristic
154	#41	—	356	2	no	—
155	#41	—	178	4	no	—
156	C₂×Q₈	—	89	2	no	—
157	C₂×Q₈	—	356	2	no	—
158	C₂×Q₈	—	178	2	no	—
159	C₂×Q₈	—	178	4	no	—
160	C₂×Q₈	C₂²×D₈₉	1	2	yes	—
161	C₂×D₄	—	89	1	no	—
162	C₂×D₄	—	178	2	no	—
163	C₂×D₄	—	178	2	no	—
164	C₂×D₄	C₂²×D₈₉	1	2	yes	—
165	C₂²×C₄	—	89	2	no	—
166	C₂²×C₄	—	178	2	no	—
167	C₂²×C₄	—	178	2	no	—
168	Q₁₆	—	4	1	no	—
169	Q₁₆	—	89	4	no	—
170	Q₁₆	—	178	4	no	—
171	SD₁₆	—	2	4	no	—
172	SD₁₆	—	178	4	no	—
173	D₈	—	4	1	no	—
174	M₁₆	—	178	4	no	—
175	C₂×C₈	—	89	2	no	—
176	C₂×C₈	C₂²×D₈₉	1	1	yes	characteristic
177	C₂×C₈	C₂²×D₈₉	1	1	yes	characteristic
178	C₄⋊C₄	—	89	1	no	—
179	C₄⋊C₄	—	89	2	no	—
180	C₄⋊C₄	—	178	2	no	—
181	C₄⋊C₄	—	178	2	no	—
182	C₂²⋊C₄	—	2	2	no	—
183	C₂²⋊C₄	—	2	2	no	—
184	C₂²⋊C₄	—	89	2	no	—
185	C₂²⋊C₄	—	178	2	no	—
186	C₂²⋊C₄	—	178	2	no	—
187	C₄²	—	178	2	no	—
188	C₄²	C₂²×D₈₉	1	1	yes	characteristic
189	C₂³	—	2	2	no	—
190	C₂³	—	89	2	no	—
191	Q₈	—	2	2	no	—
192	Q₈	—	2	2	no	—
193	Q₈	—	89	4	no	—
194	Q₈	—	356	4	no	—
195	Q₈	—	178	2	no	—
196	D₄	—	2	2	no	—
197	D₄	—	2	2	no	—
198	D₄	—	356	1	no	—
199	D₄	—	356	4	no	—
200	D₄	—	356	4	no	—
201	C₂×C₄	—	2	2	no	—
202	C₂×C₄	—	89	2	no	—
203	C₂×C₄	—	356	4	no	—
204	C₂×C₄	—	356	4	no	—
205	C₂×C₄	—	178	2	no	—
206	C₂×C₄	—	178	2	no	—
207	C₂×C₄	—	178	2	no	—
208	C₂×C₄	—	178	2	no	—
209	C₂×C₄	D₄×D₈₉	1	1	yes	characteristic
210	C₂×C₄	D₄×D₈₉	1	1	yes	characteristic
211	C₂×C₄	C₂³×D₈₉	1	1	yes	characteristic
212	C₈	—	2	1	no	—
213	C₈	—	178	2	no	—
214	C₈	D₄×D₈₉	1	2	yes	—
215	C₂²	—	4	2	no	—
216	C₂²	—	4	2	no	—
217	C₂²	—	4	2	no	—
218	C₂²	—	178	2	no	—
219	C₂²	—	178	2	no	—
220	C₂²	—	178	2	no	—
221	C₂²	C₂×D₄×D₈₉	1	1	yes	characteristic
222	C₄	—	2	1	no	—
223	C₄	—	2	1	no	—
224	C₄	—	4	2	no	—
225	C₄	—	356	2	no	—
226	C₄	—	178	2	no	—
227	C₄	—	178	4	no	—
228	C₄	C₂×D₄×D₈₉	1	1	yes	characteristic
229	C₄	#15668057	1	1	yes	characteristic
230	C₂	—	8	2	no	—
231	C₂	—	356	2	no	—
232	C₂	#19152233	1	1	yes	characteristic
233	C₂	#19152395	1	1	yes	characteristic
234	C₂	#19152412	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#15668041

C₂

yes

maximal, complemented

#19152256

C₂

yes

maximal, complemented

#19151841

C₂

yes

maximal, complemented

#19151817

C₂

yes

maximal, complemented

#19151752

C₂

yes

maximal, complemented

#19151740

C₂

yes

maximal, complemented

C₄×Dic₃₅₆

C₂

yes

maximal, characteristic, complemented

#19151677

C₂

yes

maximal, characteristic, complemented

#495×C₈₉

C₂

yes

maximal, characteristic, complemented

C₂×#13083573

C₂²

yes

—

C₂×Q₈×D₈₉

C₂²

yes

—

#15668041

—

C₂×Dic₃₅₆

C₂²

yes

characteristic

C₂×#13083564

C₂²

yes

—

C₂×#13083562

C₂²

yes

—

C₂×#13083557

C₂²

yes

—

#15667998

—

#15667989

—

#15667988

C₂²

yes

—

#15667985

—

#15667983

C₂²

yes

—

C₄×Dic₁₇₈

C₂²

yes

—

C₄×D₃₅₆

C₂²

yes

characteristic

#15667972

—

#15667946

C₂²

yes

characteristic

C₄⋊#10623494

C₂²

yes

characteristic

#15667937

C₂²

yes

—

#15667936

C₂²

yes

—

#15667933

C₂²

yes

—

#15667924

C₂²

yes

—

C₂×Q₁₆×C₈₉

C₂²

yes

characteristic

C₂×SD₁₆×C₈₉

C₂²

yes

—

C₂×D₈×C₈₉

C₂²

yes

characteristic

#124×C₈₉

C₂²

yes

—

C₄×C₈×C₈₉

C₂²

yes

characteristic

#13083573

—

#13083573

—

C₂×Dic₁₇₈

—

C₂×Dic₁₇₈

C₂³

yes

—

Q₈×D₈₉

—

Q₈×D₈₉

—

C₂×D₃₅₆

D₄

yes

characteristic

C₂×C₂²⋊D₈₉

—

C₂×C₂²⋊D₈₉

—

C₂²×Dic₈₉

—

C₂×C₄×D₈₉

—

C₂×C₄×D₈₉

C₂³

yes

—

Dic₃₅₆

D₄

yes

—

—

—

C₂³

yes

—

C₄⋊Dic₈₉

D₄

yes

characteristic

C₄⋊Dic₈₉

C₂³

yes

—

#13083553

—

#13083553

—

C₂²⋊Dic₈₉

—

#13083551

—

#13083551

D₄

yes

—

C₄×Dic₈₉

—

C₂×Q₈×C₈₉

C₂³

yes

—

C₂×D₄×C₈₉

C₂³

yes

—

Q₁₆×C₈₉

—

SD₁₆×C₈₉

—

D₈×C₈₉

—

C₂×C₈×C₈₉

C₂³

yes

characteristic

C₂×C₈×C₈₉

C₂³

yes

characteristic

C₂²⋊C₄×C₈₉

—

C₂²⋊C₄×C₈₉

—

C₄²×C₈₉

C₂³

yes

characteristic

C₂³×C₈₉

—

C₂²×D₈₉

C₂×D₄

yes

—

Q₈×C₈₉

—

Q₈×C₈₉

—

D₄×C₈₉

—

D₄×C₈₉

—

C₂×C₄×C₈₉

—

C₂×C₄×C₈₉

C₂×D₄

yes

characteristic

C₂×C₄×C₈₉

C₂×D₄

yes

characteristic

C₂×C₄×C₈₉

C₂⁴

yes

characteristic

C₂²⋊D₈₉

—

C₂²⋊D₈₉

—

C₂×Dic₈₉

—

C₂×Dic₈₉

—

C₂×Dic₈₉

—

C₂×Dic₈₉

C₂×D₄

yes

—

D₃₅₆

—

C₄×D₈₉

—

C₄×D₈₉

—

C₄×D₈₉

—

Dic₁₇₈

—

Dic₁₇₈

—

Dic₁₇₈

C₂×D₄

yes

—

C₈×C₈₉

—

C₈×C₈₉

C₂×D₄

yes

—

#10623494

—

C₂²×C₈₉

—

C₂²×C₈₉

—

C₂²×C₈₉

—

100

C₂²×C₈₉

C₂²×D₄

yes

characteristic

101

C₂×D₈₉

—

102

C₂×D₈₉

—

103

C₂×D₈₉

—

104

C₄×C₈₉

—

105

C₄×C₈₉

—

106

C₄×C₈₉

—

107

C₄×C₈₉

C₂²×D₄

yes

characteristic

108

C₄×C₈₉

H(5,𝔽₂)

yes

characteristic

109

Dic₈₉

—

110

Dic₈₉

—

111

Dic₈₉

—

112

C₂×C₈₉

—

113

C₂×C₈₉

D₄²

yes

characteristic

114

C₂×C₈₉

#575

yes

characteristic

115

C₂×C₈₉

#578

yes

characteristic

116

D₈₉

—

117

#3277

—

maximal, Sylow

118

C₈₉

#3277

yes

characteristic, complemented, Sylow

119

C₂×#137

—

120

#548

—

121

#495

D₈₉

yes

characteristic, complemented

122

#468

—

123

#464

—

124

#451

—

125

#449

—

126

C₄×Q₁₆

—

127

#436

—

128

C₂×#41

—

129

C₂²×Q₈

—

130

#137

—

178

—

131

C₂×Q₁₆

—

132

C₂×Q₁₆

—

133

C₂×Q₁₆

C₂×D₈₉

yes

characteristic

134

C₂×SD₁₆

—

135

C₂×SD₁₆

C₂×D₈₉

yes

—

136

C₂×D₈

C₂×D₈₉

yes

characteristic

137

C₂×M₁₆

—

138

#124

—

178

—

139

#124

C₂×D₈₉

yes

—

140

C₂²⋊Q₈

—

141

C₂²⋊Q₈

—

178

—

142

#121

—

143

#121

—

178

—

144

C₄×Q₈

—

145

C₄×D₄

—

146

C₄×D₄

—

178

—

147

#107

—

148

C₄⋊C₈

—

149

#103

—

150

#103

—

151

#102

—

152

C₂²⋊C₈

—

153

C₄×C₈

C₂×D₈₉

yes

characteristic

154

#41

—

356

—

155

#41

—

178

—

156

C₂×Q₈

—

157

C₂×Q₈

—

356

—

158

C₂×Q₈

—

178

—

159

C₂×Q₈

—

178

—

160

C₂×Q₈

C₂²×D₈₉

yes

—

161

C₂×D₄

—

162

C₂×D₄

—

178

—

163

C₂×D₄

—

178

—

164

C₂×D₄

C₂²×D₈₉

yes

—

165

C₂²×C₄

—

166

C₂²×C₄

—

178

—

167

C₂²×C₄

—

178

—

168

Q₁₆

—

169

Q₁₆

—

170

Q₁₆

—

178

—

171

SD₁₆

—

172

SD₁₆

—

178

—

173

D₈

—

174

M₁₆

—

178

—

175

C₂×C₈

—

176

C₂×C₈

C₂²×D₈₉

yes

characteristic

177

C₂×C₈

C₂²×D₈₉

yes

characteristic

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

178

—

181

C₄⋊C₄

—

178

—

182

C₂²⋊C₄

—

183

C₂²⋊C₄

—

184

C₂²⋊C₄

—

185

C₂²⋊C₄

—

178

—

186

C₂²⋊C₄

—

178

—

187

C₄²

—

178

—

188

C₄²

C₂²×D₈₉

yes

characteristic

189

C₂³

—

190

C₂³

—

191

Q₈

—

192

Q₈

—

193

Q₈

—

194

Q₈

—

356

—

195

Q₈

—

178

—

196

D₄

—

197

D₄

—

198

D₄

—

356

—

199

D₄

—

356

—

200

D₄

—

356

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

356

—

204

C₂×C₄

—

356

—

205

C₂×C₄

—

178

—

206

C₂×C₄

—

178

—

207

C₂×C₄

—

178

—

208

C₂×C₄

—

178

—

209

C₂×C₄

D₄×D₈₉

yes

characteristic

210

C₂×C₄

D₄×D₈₉

yes

characteristic

211

C₂×C₄

C₂³×D₈₉

yes

characteristic

212

C₈

—

213

C₈

—

178

—

214

C₈

D₄×D₈₉

yes

—

215

C₂²

—

216

C₂²

—

217

C₂²

—

218

C₂²

—

178

—

219

C₂²

—

178

—

220

C₂²

—

178

—

221

C₂²

C₂×D₄×D₈₉

yes

characteristic

222

C₄

—

223

C₄

—

224

C₄

—

225

C₄

—

356

—

226

C₄

—

178

—

227

C₄

—

178

—

228

C₄

C₂×D₄×D₈₉

yes

characteristic

229

C₄

#15668057

yes

characteristic

230

C₂

—

231

C₂

—

356

—

232

C₂

#19152233

yes

characteristic

233

C₂

#19152395

yes

characteristic

234

C₂

#19152412

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₈₉
commutator, cosocle	C₂×C₄×C₈₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₈₉
Fitting	#495×C₈₉	C₂
socle	C₂²×C₈₉	C₂²×D₄
hypercenter	#495	D₈₉
hypocenter	C₈₉	#3277
LCS	G ▷ C₂×C₄×C₈₉ ▷ C₂×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #495

subgroup

G/H

center

C₂²

C₂×D₄×D₈₉

commutator, cosocle

C₂×C₄×C₈₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₈₉

Fitting

#495×C₈₉

C₂

socle

C₂²×C₈₉

C₂²×D₄

D₈₉

C₈₉

G ▷ C₂×C₄×C₈₉ ▷ C₂×C₈₉ ▷ C₈₉

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #495

N	H ≅ G/N	type
1. C₂×#15668041	C₂	semidirect
2. #19152256	C₂	semidirect
3. #19151841	C₂	semidirect
4. #19151817	C₂	semidirect
5. #19151752	C₂	semidirect
6. #19151740	C₂	semidirect
7. C₄×Dic₃₅₆	C₂	semidirect
8. #19151677	C₂	semidirect
9. #495×C₈₉	C₂	semidirect
48. Dic₃₅₆	D₄	semidirect
118. C₈₉	#3277	semidirect
121. #495	D₈₉	semidirect

H ≅ G/N

type

1. C₂×#15668041

C₂

semidirect

2. #19152256

C₂

semidirect

3. #19151841

C₂

semidirect

4. #19151817

C₂

semidirect

5. #19151752

C₂

semidirect

6. #19151740

C₂

semidirect

7. C₄×Dic₃₅₆

C₂

semidirect

8. #19151677

C₂

semidirect

9. #495×C₈₉

C₂

semidirect

48. Dic₃₅₆

D₄

semidirect

118. C₈₉

#3277

semidirect

121. #495

D₈₉

semidirect

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

subgroup	index
C₂×#15668041	2
#19152256	2
#19151841	2
#19151817	2
#19151752	2
#19151740	2
C₄×Dic₃₅₆	2
#19151677	2
#495×C₈₉	2
#3277	89

subgroup

index

C₄×Dic₃₅₆

#495×C₈₉

Subgroups — #26031907

Conjugacy classes of subgroups

Complements

Maximal subgroups