Group #26031178 — subgroups

Subgroups — #26031178

Order 11392.

428 conjugacy classes of subgroups; only the 125 normal subgroups are shown.

normal subgroups only

This group has 428 conjugacy classes of subgroups — too many to draw. Only its 125 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	#19152149	C₂	1	1	yes	maximal, characteristic
2	C₄⋊Q₈×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#19151972	C₂	1	1	yes	maximal, characteristic, complemented
4	#19151971	C₂	1	1	yes	maximal, characteristic, complemented
5	#19151950	C₂	1	1	yes	maximal, characteristic, complemented
6	#19151802	C₂	1	4	yes	maximal, complemented
7	#19151738	C₂	1	4	yes	maximal, complemented
8	#19151649	C₂	1	1	yes	maximal, characteristic, complemented
9	#487×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#13083575	—	2	1	no	—
11	C₂×Q₈×D₈₉	C₂²	1	2	yes	—
12	C₂×#13083563	C₂²	1	4	yes	—
13	C₂×#13083561	C₂²	1	4	yes	—
14	#15668012	C₂²	1	1	yes	characteristic
15	#15668011	—	2	1	no	—
16	#15668011	—	2	1	no	—
17	#15668010	C₂²	1	2	yes	—
18	#15668009	C₂²	1	1	yes	characteristic
19	#15668001	—	2	1	no	—
20	#15667987	—	2	1	no	—
21	#15667987	C₂²	1	2	yes	—
22	#15667974	—	2	1	no	—
23	#15667974	C₂²	1	2	yes	—
24	C₄⋊C₄×D₈₉	—	2	1	no	—
25	C₄⋊C₄×D₈₉	—	2	1	no	—
26	C₄²×D₈₉	C₂²	1	1	yes	characteristic
27	#15667941	C₂²	1	2	yes	—
28	#15667935	C₂²	1	4	yes	—
29	#15667924	C₂²	1	2	yes	—
30	C₄×#10623494	C₂²	1	1	yes	characteristic
31	C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
32	C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
33	#103×C₈₉	C₂²	1	4	yes	—
34	C₄×C₈×C₈₉	C₂²	1	1	yes	characteristic
35	#13083575	—	4	4	no	—
36	C₂×Dic₁₇₈	—	2	2	no	—
37	C₂×Dic₁₇₈	C₂³	1	2	yes	—
38	Q₈×D₈₉	—	4	4	no	—
39	C₂×D₃₅₆	—	2	2	no	—
40	C₂×D₃₅₆	—	2	1	no	—
41	C₂×D₃₅₆	—	2	1	no	—
42	C₂×D₃₅₆	C₂³	1	2	yes	—
43	C₂×C₄×D₈₉	—	2	2	no	—
44	C₂×C₄×D₈₉	—	2	2	no	—
45	C₂×C₄×D₈₉	D₄	1	1	yes	characteristic
46	C₂×C₄×D₈₉	D₄	1	1	yes	characteristic
47	C₂×C₄×D₈₉	C₂³	1	1	yes	characteristic
48	#13083563	—	4	4	no	—
49	#13083561	—	4	4	no	—
50	C₂×#10623494	C₂³	1	2	yes	—
51	C₄⋊Dic₈₉	—	2	1	no	—
52	C₄⋊Dic₈₉	—	2	1	no	—
53	#13083553	—	2	2	no	—
54	#13083553	—	2	2	no	—
55	#13083551	—	2	2	no	—
56	#13083551	—	2	2	no	—
57	C₄×Dic₈₉	D₄	1	1	yes	characteristic
58	C₄×Dic₈₉	D₄	1	1	yes	characteristic
59	C₄×Dic₈₉	C₂³	1	1	yes	characteristic
60	C₂×Q₈×C₈₉	—	2	1	no	—
61	C₂×Q₈×C₈₉	C₂³	1	2	yes	—
62	C₂×C₈×C₈₉	C₂³	1	2	yes	—
63	C₄⋊C₄×C₈₉	—	2	1	no	—
64	C₄⋊C₄×C₈₉	—	2	1	no	—
65	C₄⋊C₄×C₈₉	—	2	1	no	—
66	C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
67	C₄²×C₈₉	C₂³	1	1	yes	characteristic
68	C₂²×D₈₉	—	2	2	no	—
69	C₂²×D₈₉	C₂×D₄	1	1	yes	characteristic
70	Q₈×C₈₉	—	2	4	no	—
71	Q₈×C₈₉	—	4	2	no	—
72	C₂×C₄×C₈₉	—	2	2	no	—
73	C₂×C₄×C₈₉	—	2	2	no	—
74	C₂×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
75	C₂×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
76	C₂×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
77	C₂×Dic₈₉	—	2	2	no	—
78	C₂×Dic₈₉	C₂×D₄	1	1	yes	characteristic
79	C₂×Dic₈₉	C₂×D₄	1	1	yes	characteristic
80	C₂×Dic₈₉	C₂×D₄	1	1	yes	characteristic
81	D₃₅₆	—	2	4	no	—
82	D₃₅₆	—	4	4	no	—
83	D₃₅₆	—	4	2	no	—
84	D₃₅₆	—	4	2	no	—
85	C₄×D₈₉	—	2	2	no	—
86	C₄×D₈₉	—	2	2	no	—
87	C₄×D₈₉	—	4	4	no	—
88	C₄×D₈₉	—	4	4	no	—
89	C₄×D₈₉	SD₁₆	1	4	yes	complemented
90	Dic₁₇₈	—	2	4	no	—
91	Dic₁₇₈	—	4	4	no	—
92	C₈×C₈₉	—	2	2	no	—
93	#10623494	—	2	2	no	—
94	C₂²×C₈₉	C₂²×D₄	1	1	yes	characteristic
95	C₂×D₈₉	—	2	1	no	—
96	C₂×D₈₉	—	2	1	no	—
97	C₂×D₈₉	—	4	2	no	—
98	C₂×D₈₉	—	4	2	no	—
99	C₂×D₈₉	—	4	2	no	—
100	C₂×D₈₉	C₂×SD₁₆	1	2	yes	—
101	C₄×C₈₉	—	4	2	no	—
102	C₄×C₈₉	—	4	2	no	—
103	C₄×C₈₉	C₂×SD₁₆	1	2	yes	—
104	C₄×C₈₉	#137	1	2	yes	—
105	C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
106	Dic₈₉	—	2	1	no	—
107	Dic₈₉	—	2	1	no	—
108	Dic₈₉	—	4	2	no	—
109	Dic₈₉	C₂×SD₁₆	1	2	yes	—
110	C₂×C₈₉	#535	1	1	yes	characteristic
111	C₂×C₈₉	C₂²×SD₁₆	1	1	yes	characteristic
112	C₂×C₈₉	C₂×#137	1	1	yes	characteristic
113	D₈₉	—	2	2	no	—
114	D₈₉	—	8	2	no	—
115	#3206	—	89	1	no	maximal, Sylow
116	C₈₉	#3206	1	1	yes	characteristic, complemented, Sylow
117	#532	—	89	1	no	—
118	C₂×C₄⋊Q₈	—	89	1	no	—
119	#492	—	89	1	no	—
120	#492	—	89	1	no	—
121	#487	—	89	1	no	—
122	#487	D₈₉	1	1	yes	characteristic, complemented
123	#461	—	89	4	no	—
124	#448	—	89	4	no	—
125	#431	—	89	1	no	—
126	C₂×#41	—	178	1	no	—
127	C₂²×Q₈	—	89	2	no	—
128	C₂×SD₁₆	—	89	4	no	—
129	C₂×SD₁₆	—	89	4	no	—
130	C₄⋊Q₈	—	89	2	no	—
131	C₄⋊Q₈	—	89	1	no	—
132	C₄⋊Q₈	—	178	1	no	—
133	C₄⋊Q₈	—	178	1	no	—
134	C₄⋊Q₈	C₂×D₈₉	1	1	yes	characteristic
135	C₄⋊Q₈	C₂×D₈₉	1	1	yes	characteristic
136	#127	—	89	1	no	—
137	#124	—	178	1	no	—
138	#121	—	89	2	no	—
139	#121	—	178	1	no	—
140	C₄×D₄	—	89	2	no	—
141	C₄×D₄	—	178	1	no	—
142	C₂×C₄⋊C₄	—	178	1	no	—
143	C₂×C₄⋊C₄	—	178	1	no	—
144	C₂×C₄²	—	89	1	no	—
145	C₄⋊C₈	—	89	2	no	—
146	#103	—	89	4	no	—
147	#103	C₂×D₈₉	1	4	yes	—
148	C₂²⋊C₈	—	89	2	no	—
149	C₄×C₈	—	89	1	no	—
150	C₄×C₈	C₂×D₈₉	1	1	yes	characteristic
151	#41	—	356	4	no	—
152	C₂×Q₈	—	2	1	no	—
153	C₂×Q₈	—	89	2	no	—
154	C₂×Q₈	—	356	4	no	—
155	C₂×Q₈	—	178	2	no	—
156	C₂×Q₈	C₂²×D₈₉	1	2	yes	—
157	C₂×D₄	—	89	2	no	—
158	C₂×D₄	—	178	2	no	—
159	C₂×D₄	—	178	1	no	—
160	C₂×D₄	—	178	1	no	—
161	C₂²×C₄	—	89	1	no	—
162	C₂²×C₄	—	89	1	no	—
163	C₂²×C₄	—	89	1	no	—
164	C₂²×C₄	—	178	2	no	—
165	C₂²×C₄	—	178	2	no	—
166	SD₁₆	—	356	4	no	—
167	SD₁₆	—	356	4	no	—
168	C₂×C₈	—	89	2	no	—
169	C₂×C₈	C₂²×D₈₉	1	2	yes	—
170	C₄⋊C₄	—	2	1	no	—
171	C₄⋊C₄	—	2	1	no	—
172	C₄⋊C₄	—	2	1	no	—
173	C₄⋊C₄	—	178	2	no	—
174	C₄⋊C₄	—	178	2	no	—
175	C₄⋊C₄	—	178	1	no	—
176	C₄⋊C₄	—	178	1	no	—
177	C₄⋊C₄	C₂²×D₈₉	1	2	yes	—
178	C₂²⋊C₄	—	178	2	no	—
179	C₂²⋊C₄	—	178	2	no	—
180	C₄²	—	89	1	no	—
181	C₄²	—	89	1	no	—
182	C₄²	—	89	1	no	—
183	C₄²	C₂²×D₈₉	1	1	yes	characteristic
184	C₂³	—	89	1	no	—
185	C₂³	—	178	2	no	—
186	Q₈	—	2	4	no	—
187	Q₈	—	4	2	no	—
188	Q₈	—	356	4	no	—
189	Q₈	—	178	4	no	—
190	D₄	—	356	4	no	—
191	D₄	—	356	2	no	—
192	D₄	—	356	2	no	—
193	D₄	—	178	4	no	—
194	C₂×C₄	—	2	2	no	—
195	C₂×C₄	—	2	2	no	—
196	C₂×C₄	—	89	1	no	—
197	C₂×C₄	—	89	4	no	—
198	C₂×C₄	—	89	1	no	—
199	C₂×C₄	—	89	1	no	—
200	C₂×C₄	—	356	4	no	—
201	C₂×C₄	—	356	4	no	—
202	C₂×C₄	—	178	2	no	—
203	C₂×C₄	—	178	2	no	—
204	C₂×C₄	—	178	2	no	—
205	C₂×C₄	D₄×D₈₉	1	1	yes	characteristic
206	C₂×C₄	D₄×D₈₉	1	1	yes	characteristic
207	C₂×C₄	C₂³×D₈₉	1	1	yes	characteristic
208	C₈	—	2	2	no	—
209	C₈	—	178	2	no	—
210	C₂²	—	89	2	no	—
211	C₂²	—	356	2	no	—
212	C₂²	—	356	2	no	—
213	C₂²	—	356	2	no	—
214	C₂²	—	178	1	no	—
215	C₂²	—	178	1	no	—
216	C₂²	C₂×D₄×D₈₉	1	1	yes	characteristic
217	C₄	—	4	2	no	—
218	C₄	—	4	2	no	—
219	C₄	—	89	2	no	—
220	C₄	—	356	2	no	—
221	C₄	—	178	1	no	—
222	C₄	—	178	1	no	—
223	C₄	SD₁₆×D₈₉	1	2	yes	—
224	C₄	#15668044	1	2	yes	—
225	C₄	#15668058	1	2	yes	—
226	C₂	—	178	2	no	—
227	C₂	—	712	2	no	—
228	C₂	#19152166	1	1	yes	characteristic
229	C₂	C₂×SD₁₆×D₈₉	1	1	yes	characteristic
230	C₂	C₂×#15668044	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#19152149

C₂

yes

maximal, characteristic

C₄⋊Q₈×D₈₉

C₂

yes

maximal, characteristic, complemented

#19151972

C₂

yes

maximal, characteristic, complemented

#19151971

C₂

yes

maximal, characteristic, complemented

#19151950

C₂

yes

maximal, characteristic, complemented

#19151802

C₂

yes

maximal, complemented

#19151738

C₂

yes

maximal, complemented

#19151649

C₂

yes

maximal, characteristic, complemented

#487×C₈₉

C₂

yes

maximal, characteristic, complemented

C₂×#13083575

—

C₂×Q₈×D₈₉

C₂²

yes

—

C₂×#13083563

C₂²

yes

—

C₂×#13083561

C₂²

yes

—

#15668012

C₂²

yes

—

—

C₂²

yes

—

#15668009

C₂²

yes

—

—

C₂²

yes

—

#15667974

—

#15667974

C₂²

yes

—

C₄⋊C₄×D₈₉

—

C₄⋊C₄×D₈₉

—

C₄²×D₈₉

C₂²

yes

characteristic

#15667941

C₂²

yes

—

#15667935

C₂²

yes

—

#15667924

C₂²

yes

—

C₄×#10623494

C₂²

yes

characteristic

C₄⋊Q₈×C₈₉

C₂²

yes

characteristic

C₄⋊Q₈×C₈₉

C₂²

yes

characteristic

#103×C₈₉

C₂²

yes

—

C₄×C₈×C₈₉

C₂²

yes

characteristic

#13083575

—

C₂×Dic₁₇₈

—

C₂×Dic₁₇₈

C₂³

yes

—

Q₈×D₈₉

—

C₂×D₃₅₆

—

C₂×D₃₅₆

—

C₂×D₃₅₆

—

C₂×D₃₅₆

C₂³

yes

—

C₂×C₄×D₈₉

—

C₂×C₄×D₈₉

—

C₂×C₄×D₈₉

D₄

yes

characteristic

C₂×C₄×D₈₉

D₄

yes

characteristic

C₂×C₄×D₈₉

C₂³

yes

—

—

C₂³

yes

—

C₄⋊Dic₈₉

—

C₄⋊Dic₈₉

—

—

—

—

—

C₄×Dic₈₉

D₄

yes

characteristic

C₄×Dic₈₉

D₄

yes

characteristic

C₄×Dic₈₉

C₂³

yes

characteristic

C₂×Q₈×C₈₉

—

C₂×Q₈×C₈₉

C₂³

yes

—

C₂×C₈×C₈₉

C₂³

yes

—

C₄⋊C₄×C₈₉

—

C₄⋊C₄×C₈₉

—

C₄⋊C₄×C₈₉

—

C₄⋊C₄×C₈₉

C₂³

yes

—

C₄²×C₈₉

C₂³

yes

characteristic

C₂²×D₈₉

—

C₂²×D₈₉

C₂×D₄

yes

characteristic

Q₈×C₈₉

—

Q₈×C₈₉

—

C₂×C₄×C₈₉

—

C₂×C₄×C₈₉

—

C₂×C₄×C₈₉

C₂×D₄

yes

characteristic

C₂×C₄×C₈₉

C₂×D₄

yes

characteristic

C₂×C₄×C₈₉

C₂⁴

yes

characteristic

C₂×Dic₈₉

—

C₂×Dic₈₉

C₂×D₄

yes

characteristic

C₂×Dic₈₉

C₂×D₄

yes

characteristic

C₂×Dic₈₉

C₂×D₄

yes

characteristic

D₃₅₆

—

D₃₅₆

—

D₃₅₆

—

D₃₅₆

—

C₄×D₈₉

—

C₄×D₈₉

—

C₄×D₈₉

—

C₄×D₈₉

—

C₄×D₈₉

SD₁₆

yes

complemented

Dic₁₇₈

—

Dic₁₇₈

—

C₈×C₈₉

—

#10623494

—

C₂²×C₈₉

C₂²×D₄

yes

characteristic

C₂×D₈₉

—

C₂×D₈₉

—

C₂×D₈₉

—

C₂×D₈₉

—

C₂×D₈₉

—

100

C₂×D₈₉

C₂×SD₁₆

yes

—

101

C₄×C₈₉

—

102

C₄×C₈₉

—

103

C₄×C₈₉

C₂×SD₁₆

yes

—

104

C₄×C₈₉

#137

yes

—

105

C₄×C₈₉

H(5,𝔽₂)

yes

—

106

Dic₈₉

—

107

Dic₈₉

—

108

Dic₈₉

—

109

Dic₈₉

C₂×SD₁₆

yes

—

110

C₂×C₈₉

#535

yes

characteristic

111

C₂×C₈₉

C₂²×SD₁₆

yes

characteristic

112

C₂×C₈₉

C₂×#137

yes

characteristic

113

D₈₉

—

114

D₈₉

—

115

#3206

—

maximal, Sylow

116

C₈₉

#3206

yes

characteristic, complemented, Sylow

117

#532

—

118

C₂×C₄⋊Q₈

—

119

#492

—

120

#492

—

121

#487

—

122

#487

D₈₉

yes

characteristic, complemented

123

#461

—

124

#448

—

125

#431

—

126

C₂×#41

—

178

—

127

C₂²×Q₈

—

128

C₂×SD₁₆

—

129

C₂×SD₁₆

—

130

C₄⋊Q₈

—

131

C₄⋊Q₈

—

132

C₄⋊Q₈

—

178

—

133

C₄⋊Q₈

—

178

—

134

C₄⋊Q₈

C₂×D₈₉

yes

characteristic

135

C₄⋊Q₈

C₂×D₈₉

yes

characteristic

136

#127

—

137

#124

—

178

—

138

#121

—

139

#121

—

178

—

140

C₄×D₄

—

141

C₄×D₄

—

178

—

142

C₂×C₄⋊C₄

—

178

—

143

C₂×C₄⋊C₄

—

178

—

144

C₂×C₄²

—

145

C₄⋊C₈

—

146

#103

—

147

#103

C₂×D₈₉

yes

—

148

C₂²⋊C₈

—

149

C₄×C₈

—

150

C₄×C₈

C₂×D₈₉

yes

characteristic

151

#41

—

356

—

152

C₂×Q₈

—

153

C₂×Q₈

—

154

C₂×Q₈

—

356

—

155

C₂×Q₈

—

178

—

156

C₂×Q₈

C₂²×D₈₉

yes

—

157

C₂×D₄

—

158

C₂×D₄

—

178

—

159

C₂×D₄

—

178

—

160

C₂×D₄

—

178

—

161

C₂²×C₄

—

162

C₂²×C₄

—

163

C₂²×C₄

—

164

C₂²×C₄

—

178

—

165

C₂²×C₄

—

178

—

166

SD₁₆

—

356

—

167

SD₁₆

—

356

—

168

C₂×C₈

—

169

C₂×C₈

C₂²×D₈₉

yes

—

170

C₄⋊C₄

—

171

C₄⋊C₄

—

172

C₄⋊C₄

—

173

C₄⋊C₄

—

178

—

174

C₄⋊C₄

—

178

—

175

C₄⋊C₄

—

178

—

176

C₄⋊C₄

—

178

—

177

C₄⋊C₄

C₂²×D₈₉

yes

—

178

C₂²⋊C₄

—

178

—

179

C₂²⋊C₄

—

178

—

180

C₄²

—

181

C₄²

—

182

C₄²

—

183

C₄²

C₂²×D₈₉

yes

characteristic

184

C₂³

—

185

C₂³

—

178

—

186

Q₈

—

187

Q₈

—

188

Q₈

—

356

—

189

Q₈

—

178

—

190

D₄

—

356

—

191

D₄

—

356

—

192

D₄

—

356

—

193

D₄

—

178

—

194

C₂×C₄

—

195

C₂×C₄

—

196

C₂×C₄

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

356

—

201

C₂×C₄

—

356

—

202

C₂×C₄

—

178

—

203

C₂×C₄

—

178

—

204

C₂×C₄

—

178

—

205

C₂×C₄

D₄×D₈₉

yes

characteristic

206

C₂×C₄

D₄×D₈₉

yes

characteristic

207

C₂×C₄

C₂³×D₈₉

yes

characteristic

208

C₈

—

209

C₈

—

178

—

210

C₂²

—

211

C₂²

—

356

—

212

C₂²

—

356

—

213

C₂²

—

356

—

214

C₂²

—

178

—

215

C₂²

—

178

—

216

C₂²

C₂×D₄×D₈₉

yes

characteristic

217

C₄

—

218

C₄

—

219

C₄

—

220

C₄

—

356

—

221

C₄

—

178

—

222

C₄

—

178

—

223

C₄

SD₁₆×D₈₉

yes

—

224

C₄

#15668044

yes

—

225

C₄

#15668058

yes

—

226

C₂

—

178

—

227

C₂

—

712

—

228

C₂

#19152166

yes

characteristic

229

C₂

C₂×SD₁₆×D₈₉

yes

characteristic

230

C₂

C₂×#15668044

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₈₉
commutator, cosocle	C₂×C₄×C₈₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₈₉
Fitting	#487×C₈₉	C₂
socle	C₂²×C₈₉	C₂²×D₄
prime radical	#19152149	C₂
hypercenter	#487	D₈₉
hypocenter	C₈₉	#3206
LCS	G ▷ C₂×C₄×C₈₉ ▷ C₂×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #487

subgroup

G/H

center

C₂²

C₂×D₄×D₈₉

commutator, cosocle

C₂×C₄×C₈₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₈₉

Fitting

#487×C₈₉

C₂

socle

C₂²×C₈₉

C₂²×D₄

C₂

D₈₉

C₈₉

G ▷ C₂×C₄×C₈₉ ▷ C₂×C₈₉ ▷ C₈₉

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #487

N	H ≅ G/N	type
2. C₄⋊Q₈×D₈₉	C₂	semidirect
3. #19151972	C₂	semidirect
4. #19151971	C₂	semidirect
5. #19151950	C₂	semidirect
6. #19151802	C₂	semidirect
7. #19151738	C₂	semidirect
8. #19151649	C₂	semidirect
9. #487×C₈₉	C₂	semidirect
89. C₄×D₈₉	SD₁₆	semidirect
116. C₈₉	#3206	semidirect
122. #487	D₈₉	semidirect

H ≅ G/N

type

2. C₄⋊Q₈×D₈₉

C₂

semidirect

3. #19151972

C₂

semidirect

4. #19151971

C₂

semidirect

5. #19151950

C₂

semidirect

6. #19151802

C₂

semidirect

7. #19151738

C₂

semidirect

8. #19151649

C₂

semidirect

9. #487×C₈₉

C₂

semidirect

89. C₄×D₈₉

SD₁₆

semidirect

116. C₈₉

#3206

semidirect

122. #487

D₈₉

semidirect

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

subgroup	index
#19152149	2
C₄⋊Q₈×D₈₉	2
#19151972	2
#19151971	2
#19151950	2
#19151802	2
#19151738	2
#19151649	2
#487×C₈₉	2
#3206	89

subgroup

index

C₄⋊Q₈×D₈₉

#487×C₈₉

Subgroups — #26031178

Conjugacy classes of subgroups

Complements

Maximal subgroups