Group #24996284 — subgroups

Subgroups — #24996284

Order 11008.

602 conjugacy classes of subgroups; only the 127 normal subgroups are shown.

normal subgroups only

This group has 602 conjugacy classes of subgroups — too many to draw. Only its 127 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×#14583276	C₂	1	1	yes	maximal, characteristic
2	#19135434	C₂	1	2	yes	maximal, complemented
3	#19133264	C₂	1	2	yes	maximal, complemented
4	#19132884	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₃×#1566	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×D₃₄₄	C₄	1	4	yes	—
7	C₂×#13063322	C₂²	1	2	yes	—
8	#14583276	—	2	1	no	—
9	#14583276	—	2	1	no	—
10	#14583276	—	2	2	no	—
11	#14582952	C₂²	1	1	yes	characteristic
12	C₂×#13063241	—	2	4	no	—
13	C₄×#10621877	C₂²	1	1	yes	characteristic
14	#14582642	—	2	4	no	—
15	#14582621	—	2	1	no	—
16	#14582620	—	2	1	no	—
17	C₄₃×#423	C₂²	1	2	yes	—
18	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
19	C₄₃×#334	—	2	2	no	—
20	C₂²×D₁₇₂	—	2	2	no	—
21	C₂²×D₁₇₂	—	2	2	no	—
22	C₂²×D₁₇₂	C₂×C₄	1	4	yes	—
23	C₂×D₃₄₄	—	2	4	no	—
24	C₂×D₃₄₄	—	2	4	no	—
25	C₂×D₃₄₄	—	4	8	no	—
26	C₂×#10621877	D₄	1	2	yes	—
27	#13063322	—	2	2	no	—
28	#13063322	—	2	2	no	—
29	#13063322	—	2	2	no	—
30	#13063322	—	2	2	no	—
31	C₄⋊(C₄₃⋊C₈)	D₄	1	2	yes	—
32	#13063241	—	4	8	no	—
33	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
34	#13063236	—	2	1	no	—
35	C₄×C₄₃⋊C₈	—	2	1	no	—
36	C₄×C₄₃⋊C₈	—	2	1	no	—
37	C₂×M₁₆×C₄₃	—	2	2	no	—
38	C₂²×C₈×C₄₃	C₂×C₄	1	2	yes	—
39	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
40	C₄⋊C₈×C₄₃	—	2	2	no	—
41	C₄⋊C₈×C₄₃	—	2	2	no	—
42	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
43	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
44	C₄×C₈×C₄₃	D₄	1	2	yes	—
45	C₂³×D₄₃	—	2	4	no	—
46	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
47	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
48	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
49	C₂×D₁₇₂	—	2	4	no	—
50	C₂×D₁₇₂	—	2	4	no	—
51	C₂×D₁₇₂	—	4	2	no	—
52	C₂×D₁₇₂	—	4	2	no	—
53	C₂×D₁₇₂	—	4	2	no	—
54	C₂×D₁₇₂	—	4	2	no	—
55	C₂×D₁₇₂	—	4	4	no	—
56	C₂×D₁₇₂	—	4	4	no	—
57	C₂×D₁₇₂	—	4	8	no	—
58	C₂×D₁₇₂	—	8	4	no	—
59	M₁₆×C₄₃	—	4	4	no	—
60	C₂×C₈×C₄₃	—	2	4	no	—
61	C₂×C₈×C₄₃	—	4	2	no	—
62	C₂×C₈×C₄₃	C₂²⋊C₄	1	2	yes	—
63	C₂×C₈×C₄₃	C₂²⋊C₄	1	2	yes	—
64	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
65	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
66	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
67	C₄²×C₄₃	#41	1	1	yes	characteristic
68	#10621877	—	2	4	no	—
69	C₂×C₄₃⋊C₈	—	2	2	no	—
70	C₂×C₄₃⋊C₈	—	2	2	no	—
71	D₃₄₄	—	4	8	no	—
72	D₃₄₄	—	4	8	no	—
73	C₂³×C₄₃	C₄×D₄	1	1	yes	characteristic
74	C₂²×D₄₃	—	4	4	no	—
75	C₂²×D₄₃	—	4	8	no	—
76	C₂²×D₄₃	—	8	4	no	—
77	C₂²×D₄₃	—	8	4	no	—
78	C₂×C₄×C₄₃	—	2	2	no	—
79	C₂×C₄×C₄₃	—	2	2	no	—
80	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
81	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
82	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
83	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
84	C₂×C₄×C₄₃	#124	1	1	yes	characteristic
85	C₂×C₄×C₄₃	#127	1	1	yes	characteristic
86	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	4	yes	—
87	D₁₇₂	—	4	8	no	—
88	D₁₇₂	—	8	4	no	—
89	D₁₇₂	—	8	4	no	—
90	D₁₇₂	—	8	4	no	—
91	D₁₇₂	—	8	4	no	—
92	D₁₇₂	—	8	2	no	—
93	D₁₇₂	—	8	2	no	—
94	C₈×C₄₃	—	2	2	no	—
95	C₈×C₄₃	—	8	2	no	—
96	C₈×C₄₃	#100	1	4	yes	complemented
97	C₄₃⋊C₈	—	4	2	no	—
98	C₄₃⋊C₈	—	4	2	no	—
99	#9811	—	43	1	no	maximal, Sylow
100	C₂²×C₄₃	—	2	1	no	—
101	C₂²×C₄₃	—	2	1	no	—
102	C₂²×C₄₃	#390	1	1	yes	characteristic
103	C₂²×C₄₃	#442	1	2	yes	—
104	C₂×D₄₃	—	8	4	no	—
105	C₂×D₄₃	—	8	4	no	—
106	C₂×D₄₃	—	8	4	no	—
107	C₂×D₄₃	—	16	8	no	—
108	C₄×C₄₃	—	2	1	no	—
109	C₄×C₄₃	—	2	1	no	—
110	C₄×C₄₃	C₂×#100	1	2	yes	—
111	C₄×C₄₃	#469	1	2	yes	—
112	C₄×C₄₃	#472	1	2	yes	—
113	C₄×C₄₃	#496	1	2	yes	—
114	C₂×#493	—	43	1	no	—
115	#1965	—	43	2	no	—
116	#1566	D₄₃	1	1	yes	characteristic, complemented
117	#1545	—	43	2	no	—
118	#1451	—	43	1	no	—
119	C₂×C₄₃	—	2	2	no	—
120	C₂×C₄₃	#1965	1	1	yes	characteristic
121	C₂×C₄₃	#1972	1	1	yes	characteristic
122	C₂×C₄₃	#1978	1	1	yes	characteristic
123	D₄₃	—	16	4	no	—
124	C₂²×D₈	—	43	4	no	—
125	C₂×#127	—	43	2	no	—
126	#493	—	86	1	no	—
127	#493	—	86	1	no	—
128	#493	—	86	2	no	—
129	#431	—	43	1	no	—
130	#423	C₂×D₄₃	1	2	yes	—
131	C₂×#100	—	86	4	no	—
132	C₄×M₁₆	—	43	1	no	—
133	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
134	#334	—	2	2	no	—
135	#331	—	86	4	no	—
136	#322	—	86	1	no	—
137	#322	—	86	1	no	—
138	C₄₃	#9811	1	1	yes	characteristic, complemented, Sylow
139	C₂²×D₄	—	43	4	no	—
140	C₂²×D₄	—	86	2	no	—
141	C₂²×D₄	—	86	2	no	—
142	C₂×D₈	—	86	4	no	—
143	C₂×D₈	—	86	4	no	—
144	C₂×D₈	—	172	8	no	—
145	C₂×M₁₆	—	2	2	no	—
146	C₂×M₁₆	—	43	2	no	—
147	C₂²×C₈	C₄×D₄₃	1	2	yes	—
148	#127	—	86	2	no	—
149	#127	—	86	2	no	—
150	#127	—	86	2	no	—
151	#127	—	86	2	no	—
152	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
153	C₄⋊C₈	—	2	2	no	—
154	C₄⋊C₈	—	2	2	no	—
155	C₄⋊C₈	—	43	2	no	—
156	#100	—	172	8	no	—
157	C₂²⋊C₈	—	86	1	no	—
158	#97	—	86	1	no	—
159	C₄×C₈	—	86	1	no	—
160	C₄×C₈	—	86	1	no	—
161	C₄×C₈	D₁₇₂	1	1	yes	characteristic
162	C₄×C₈	D₁₇₂	1	1	yes	characteristic
163	C₄×C₈	C₂²⋊D₄₃	1	2	yes	—
164	C₂⁴	—	86	4	no	—
165	C₂×D₄	—	86	4	no	—
166	C₂×D₄	—	86	4	no	—
167	C₂×D₄	—	344	4	no	—
168	C₂×D₄	—	172	8	no	—
169	C₂×D₄	—	172	2	no	—
170	C₂×D₄	—	172	2	no	—
171	C₂×D₄	—	172	2	no	—
172	C₂×D₄	—	172	2	no	—
173	C₂×D₄	—	172	4	no	—
174	C₂×D₄	—	172	4	no	—
175	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
176	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
177	C₂²×C₄	#10621902	1	1	yes	characteristic
178	D₈	—	172	8	no	—
179	D₈	—	172	8	no	—
180	M₁₆	—	4	4	no	—
181	M₁₆	—	86	4	no	—
182	C₂×C₈	—	2	4	no	—
183	C₂×C₈	—	4	2	no	—
184	C₂×C₈	—	86	2	no	—
185	C₂×C₈	—	86	2	no	—
186	C₂×C₈	(C₂×D₄₃)⋊C₄	1	2	yes	—
187	C₂×C₈	(C₂×D₄₃)⋊C₄	1	2	yes	—
188	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
189	C₄²	D₄×D₄₃	1	1	yes	characteristic
190	C₄²	#10621902	1	1	yes	characteristic
191	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
192	C₂³	—	344	4	no	—
193	C₂³	—	344	4	no	—
194	C₂³	—	172	4	no	—
195	C₂³	—	172	8	no	—
196	C₂³	#13063287	1	1	yes	characteristic
197	D₄	—	344	4	no	—
198	D₄	—	344	4	no	—
199	D₄	—	344	4	no	—
200	D₄	—	344	4	no	—
201	D₄	—	344	2	no	—
202	D₄	—	344	2	no	—
203	D₄	—	172	8	no	—
204	C₂×C₄	—	2	2	no	—
205	C₂×C₄	—	2	2	no	—
206	C₂×C₄	C₂×(C₂×D₄₃)⋊C₄	1	1	yes	characteristic
207	C₂×C₄	#13063287	1	1	yes	characteristic
208	C₂×C₄	#13063300	1	1	yes	characteristic
209	C₂×C₄	#13063300	1	1	yes	characteristic
210	C₂×C₄	#13063314	1	1	yes	characteristic
211	C₂×C₄	#13063321	1	1	yes	characteristic
212	C₂×C₄	#13063352	1	4	yes	—
213	C₈	—	2	2	no	—
214	C₈	—	8	2	no	—
215	C₈	—	172	2	no	—
216	C₈	—	172	2	no	—
217	C₈	#13063241	1	4	yes	complemented
218	C₂²	—	2	1	no	—
219	C₂²	—	2	1	no	—
220	C₂²	—	344	4	no	—
221	C₂²	—	344	4	no	—
222	C₂²	—	344	4	no	—
223	C₂²	—	688	8	no	—
224	C₂²	#14582800	1	1	yes	characteristic
225	C₂²	#14583010	1	2	yes	—
226	C₄	—	2	1	no	—
227	C₄	—	2	1	no	—
228	C₄	C₂×#13063241	1	2	yes	—
229	C₄	#14583153	1	2	yes	—
230	C₄	#14583170	1	2	yes	—
231	C₄	#14583285	1	2	yes	—
232	C₂	—	2	2	no	—
233	C₂	—	688	4	no	—
234	C₂	#19135434	1	1	yes	characteristic
235	C₂	#19135469	1	1	yes	characteristic
236	C₂	#19135503	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#14583276

C₂

yes

maximal, characteristic

#19135434

C₂

yes

maximal, complemented

#19133264

C₂

yes

maximal, complemented

#19132884

C₂

yes

maximal, characteristic, complemented

C₄₃×#1566

C₂

yes

maximal, characteristic, complemented

C₂²×D₃₄₄

C₄

yes

—

C₂×#13063322

C₂²

yes

—

—

—

—

C₂²

yes

characteristic

C₂×#13063241

—

C₄×#10621877

C₂²

yes

—

—

—

C₄₃×#423

C₂²

yes

—

C₂×C₄×C₈×C₄₃

C₂²

yes

characteristic

C₄₃×#334

—

C₂²×D₁₇₂

—

C₂²×D₁₇₂

—

C₂²×D₁₇₂

C₂×C₄

yes

—

C₂×D₃₄₄

—

C₂×D₃₄₄

—

C₂×D₃₄₄

—

C₂×#10621877

D₄

yes

—

—

—

—

—

C₄⋊(C₄₃⋊C₈)

D₄

yes

—

#13063241

—

C₂²⋊(C₄₃⋊C₈)

—

#13063236

—

C₄×C₄₃⋊C₈

—

C₄×C₄₃⋊C₈

—

C₂×M₁₆×C₄₃

—

C₂²×C₈×C₄₃

C₂×C₄

yes

—

C₂×C₄²×C₄₃

C₂³

yes

characteristic

C₄⋊C₈×C₄₃

—

C₄⋊C₈×C₄₃

—

C₄×C₈×C₄₃

D₄

yes

characteristic

C₄×C₈×C₄₃

D₄

yes

characteristic

C₄×C₈×C₄₃

D₄

yes

—

C₂³×D₄₃

—

C₂²×C₄×C₄₃

C₂²×C₄

yes

characteristic

C₂²×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₄₃

#41

yes

characteristic

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

M₁₆×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

C₂²⋊C₄

yes

—

C₂×C₈×C₄₃

C₂²⋊C₄

yes

—

C₄²×C₄₃

C₂×D₄

yes

characteristic

C₄²×C₄₃

C₂×D₄

yes

characteristic

C₄²×C₄₃

C₂×D₄

yes

C₄²×C₄₃

yes

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

D₃₄₄

—

D₃₄₄

—

C₂³×C₄₃

C₄×D₄

yes

characteristic

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

C₂×C₂²⋊C₄

yes

characteristic

C₂×C₄×C₄₃

C₄×D₄

yes

C₂×C₄×C₄₃

yes

C₂×C₄×C₄₃

yes

C₂×C₄×C₄₃

yes

C₂×C₄×C₄₃

yes

C₂×C₄×C₄₃

yes

—

D₁₇₂

—

D₁₇₂

—

D₁₇₂

—

D₁₇₂

—

D₁₇₂

—

D₁₇₂

—

D₁₇₂

—

C₈×C₄₃

—

C₈×C₄₃

—

C₈×C₄₃

#100

yes

complemented

C₄₃⋊C₈

—

C₄₃⋊C₈

—

#9811

—

maximal, Sylow

100

C₂²×C₄₃

—

101

C₂²×C₄₃

—

102

C₂²×C₄₃

#390

yes

characteristic

103

C₂²×C₄₃

#442

yes

—

104

C₂×D₄₃

—

105

C₂×D₄₃

—

106

C₂×D₄₃

—

107

C₂×D₄₃

—

108

C₄×C₄₃

—

109

C₄×C₄₃

—

110

C₄×C₄₃

C₂×#100

yes

—

111

C₄×C₄₃

#469

yes

—

112

C₄×C₄₃

#472

yes

—

113

C₄×C₄₃

#496

yes

—

114

C₂×#493

—

115

#1965

—

116

#1566

D₄₃

yes

characteristic, complemented

117

#1545

—

118

#1451

—

119

C₂×C₄₃

—

120

C₂×C₄₃

#1965

yes

characteristic

121

C₂×C₄₃

#1972

yes

characteristic

122

C₂×C₄₃

#1978

yes

characteristic

123

D₄₃

—

124

C₂²×D₈

—

125

C₂×#127

—

126

#493

—

127

#493

—

128

#493

—

129

#431

—

130

#423

C₂×D₄₃

yes

—

131

C₂×#100

—

132

C₄×M₁₆

—

133

C₂×C₄×C₈

C₂×D₄₃

yes

characteristic

134

#334

—

135

#331

—

136

#322

—

137

#322

—

138

C₄₃

#9811

yes

characteristic, complemented, Sylow

139

C₂²×D₄

—

140

C₂²×D₄

—

141

C₂²×D₄

—

142

C₂×D₈

—

143

C₂×D₈

—

144

C₂×D₈

—

172

—

145

C₂×M₁₆

—

146

C₂×M₁₆

—

147

C₂²×C₈

C₄×D₄₃

yes

—

148

#127

—

149

#127

—

150

#127

—

151

#127

—

152

C₂×C₄²

C₂²×D₄₃

yes

characteristic

153

C₄⋊C₈

—

154

C₄⋊C₈

—

155

C₄⋊C₈

—

156

#100

—

172

—

157

C₂²⋊C₈

—

158

#97

—

159

C₄×C₈

—

160

C₄×C₈

—

161

C₄×C₈

D₁₇₂

yes

characteristic

162

C₄×C₈

D₁₇₂

yes

characteristic

163

C₄×C₈

C₂²⋊D₄₃

yes

—

164

C₂⁴

—

165

C₂×D₄

—

166

C₂×D₄

—

167

C₂×D₄

—

344

—

168

C₂×D₄

—

172

—

169

C₂×D₄

—

172

—

170

C₂×D₄

—

172

—

171

C₂×D₄

—

172

—

172

C₂×D₄

—

172

—

173

C₂×D₄

—

172

—

174

C₂×D₄

—

172

—

175

C₂²×C₄

C₂×C₄×D₄₃

yes

characteristic

176

C₂²×C₄

D₄×D₄₃

yes

characteristic

177

C₂²×C₄

#10621902

yes

characteristic

178

D₈

—

172

—

179

D₈

—

172

—

180

M₁₆

—

181

M₁₆

—

182

C₂×C₈

—

183

C₂×C₈

—

184

C₂×C₈

—

185

C₂×C₈

—

186

C₂×C₈

(C₂×D₄₃)⋊C₄

yes

—

187

C₂×C₈

(C₂×D₄₃)⋊C₄

yes

—

188

C₄²

C₂×D₁₇₂

yes

characteristic

189

C₄²

D₄×D₄₃

yes

characteristic

190

C₄²

#10621902

yes

characteristic

191

C₄²

C₂×C₂²⋊D₄₃

yes

characteristic

192

C₂³

—

344

—

193

C₂³

—

344

—

194

C₂³

—

172

—

195

C₂³

—

172

—

196

C₂³

#13063287

yes

characteristic

197

D₄

—

344

—

198

D₄

—

344

—

199

D₄

—

344

—

200

D₄

—

344

—

201

D₄

—

344

—

202

D₄

—

344

—

203

D₄

—

172

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

C₂×(C₂×D₄₃)⋊C₄

yes

characteristic

207

C₂×C₄

#13063287

yes

characteristic

208

C₂×C₄

#13063300

yes

characteristic

209

C₂×C₄

#13063300

yes

characteristic

210

C₂×C₄

#13063314

yes

characteristic

211

C₂×C₄

#13063321

yes

characteristic

212

C₂×C₄

#13063352

yes

—

213

C₈

—

214

C₈

—

215

C₈

—

172

—

216

C₈

—

172

—

217

C₈

#13063241

yes

complemented

218

C₂²

—

219

C₂²

—

220

C₂²

—

344

—

221

C₂²

—

344

—

222

C₂²

—

344

—

223

C₂²

—

688

—

224

C₂²

#14582800

yes

characteristic

225

C₂²

#14583010

yes

—

226

C₄

—

227

C₄

—

228

C₄

C₂×#13063241

yes

—

229

C₄

#14583153

yes

—

230

C₄

#14583170

yes

—

231

C₄

#14583285

yes

—

232

C₂

—

233

C₂

—

688

—

234

C₂

#19135434

yes

characteristic

235

C₂

#19135469

yes

characteristic

236

C₂

#19135503

yes

characteristic

	subgroup	G/H
center	C₂²	#14582800
commutator	C₂²×C₄×C₄₃	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₄₃
Fitting	C₄₃×#1566	C₂
socle	C₂²×C₄₃	#390
prime radical	C₂×#14583276	C₂
cosocle	C₂×C₄²×C₄₃	C₂³
hypercenter	#1566	D₄₃
hypocenter	C₄₃	#9811
LCS	G ▷ C₂²×C₄×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1566

subgroup

G/H

center

C₂²

#14582800

commutator

C₂²×C₄×C₄₃

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₄₃

Fitting

C₄₃×#1566

C₂

C₂²×C₄₃

C₂

C₂×C₄²×C₄₃

C₂³

D₄₃

C₄₃

G ▷ C₂²×C₄×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1566

N	H ≅ G/N	type
2. #19135434	C₂	semidirect
3. #19133264	C₂	semidirect
4. #19132884	C₂	semidirect
5. C₄₃×#1566	C₂	semidirect
96. C₈×C₄₃	#100	semidirect
116. #1566	D₄₃	semidirect
138. C₄₃	#9811	semidirect
217. C₈	#13063241	semidirect

H ≅ G/N

type

2. #19135434

C₂

semidirect

3. #19133264

C₂

semidirect

4. #19132884

C₂

semidirect

5. C₄₃×#1566

C₂

semidirect

96. C₈×C₄₃

#100

semidirect

116. #1566

D₄₃

semidirect

138. C₄₃

#9811

semidirect

217. C₈

#13063241

semidirect

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

subgroup	index
C₂×#14583276	2
#19135434	2
#19133264	2
#19132884	2
C₄₃×#1566	2
#9811	43

subgroup

index

C₄₃×#1566

Subgroups — #24996284

Conjugacy classes of subgroups

Complements

Maximal subgroups