Group #24996286 — subgroups

Subgroups — #24996286

Order 11008.

602 conjugacy classes of subgroups; only the 131 normal subgroups are shown.

normal subgroups only

This group has 602 conjugacy classes of subgroups — too many to draw. Only its 131 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	#19135435	C₂	1	2	yes	maximal, complemented
3	#19133351	C₂	1	1	yes	maximal, characteristic, complemented
4	#19133262	C₂	1	2	yes	maximal, complemented
5	C₄₃×#1451	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×D₃₄₄	C₄	1	4	yes	—
7	C₂×#13063322	C₂²	1	2	yes	—
8	#14583276	—	2	2	no	—
9	#14583276	—	2	1	no	—
10	#14583276	—	2	1	no	—
11	#14582923	C₂²	1	2	yes	—
12	C₂×#13063241	—	2	4	no	—
13	#14582650	—	2	2	no	—
14	#14582642	—	2	4	no	—
15	C₄₃×#431	C₂²	1	1	yes	characteristic
16	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
17	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
18	C₄₃×#322	—	2	1	no	—
19	C₄₃×#322	—	2	1	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	—	2	2	no	—
27	#13063322	—	2	2	no	—
28	#13063322	—	2	2	no	—
29	#13063322	—	2	2	no	—
30	#13063322	—	2	2	no	—
31	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
32	C₄⋊(C₄₃⋊C₈)	—	2	2	no	—
33	#13063241	—	4	8	no	—
34	C₂×M₁₆×C₄₃	D₄	1	2	yes	—
35	C₂²×C₈×C₄₃	C₂×C₄	1	2	yes	—
36	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
37	C₄⋊C₈×C₄₃	D₄	1	2	yes	—
38	C₂²⋊C₈×C₄₃	—	2	1	no	—
39	#97×C₄₃	—	2	1	no	—
40	C₄×C₈×C₄₃	—	2	1	no	—
41	C₄×C₈×C₄₃	—	2	1	no	—
42	C₄×C₈×C₄₃	D₄	1	2	yes	—
43	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
44	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
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	—	2	4	no	—
60	C₂×C₈×C₄₃	—	2	4	no	—
61	C₂×C₈×C₄₃	—	2	2	no	—
62	C₂×C₈×C₄₃	—	2	2	no	—
63	C₂×C₈×C₄₃	C₂²⋊C₄	1	2	yes	—
64	C₂×C₈×C₄₃	C₂²⋊C₄	1	2	yes	—
65	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
66	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
67	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
68	C₄²×C₄₃	#41	1	1	yes	characteristic
69	#10621877	—	4	4	no	—
70	C₂×C₄₃⋊C₈	—	4	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	—	4	2	no	—
96	C₈×C₄₃	—	4	2	no	—
97	C₈×C₄₃	#100	1	4	yes	complemented
98	C₄₃⋊C₈	—	8	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	—	43	1	no	—
117	#1545	—	43	2	no	—
118	#1451	D₄₃	1	1	yes	characteristic, complemented
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	2	no	—
127	#493	—	86	1	no	—
128	#493	—	86	1	no	—
129	#431	C₂×D₄₃	1	1	yes	characteristic
130	#423	—	43	2	no	—
131	C₂×#100	—	86	4	no	—
132	C₄×M₁₆	C₂×D₄₃	1	1	yes	characteristic
133	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
134	#334	—	86	2	no	—
135	#331	—	86	4	no	—
136	#322	—	2	1	no	—
137	#322	—	2	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	—	86	2	no	—
146	C₂×M₁₆	D₁₇₂	1	2	yes	—
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	—	86	2	no	—
154	C₄⋊C₈	—	86	2	no	—
155	C₄⋊C₈	D₁₇₂	1	2	yes	—
156	#100	—	172	8	no	—
157	C₂²⋊C₈	—	2	1	no	—
158	#97	—	2	1	no	—
159	C₄×C₈	—	2	1	no	—
160	C₄×C₈	—	2	1	no	—
161	C₄×C₈	D₁₇₂	1	2	yes	—
162	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
163	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
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	C₂×D₁₇₂	1	1	yes	characteristic
177	C₂²×C₄	#10621898	1	1	yes	characteristic
178	D₈	—	172	8	no	—
179	D₈	—	172	8	no	—
180	M₁₆	—	2	4	no	—
181	M₁₆	—	172	4	no	—
182	C₂×C₈	—	2	4	no	—
183	C₂×C₈	—	2	2	no	—
184	C₂×C₈	—	2	2	no	—
185	C₂×C₈	—	172	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	C₂×D₁₇₂	1	1	yes	characteristic
190	C₄²	#10621898	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	C₄×D₁₇₂	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	C₄×D₁₇₂	1	1	yes	characteristic
208	C₂×C₄	#13063299	1	1	yes	characteristic
209	C₂×C₄	#13063299	1	1	yes	characteristic
210	C₂×C₄	#13063313	1	1	yes	characteristic
211	C₂×C₄	#13063322	1	1	yes	characteristic
212	C₂×C₄	#13063353	1	4	yes	—
213	C₈	—	2	2	no	—
214	C₈	—	4	2	no	—
215	C₈	—	4	2	no	—
216	C₈	—	344	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	#14582801	1	1	yes	characteristic
225	C₂²	#14583012	1	2	yes	—
226	C₄	—	2	1	no	—
227	C₄	—	2	1	no	—
228	C₄	C₂×#13063241	1	2	yes	—
229	C₄	#14583152	1	2	yes	—
230	C₄	#14583169	1	2	yes	—
231	C₄	#14583288	1	2	yes	—
232	C₂	—	2	2	no	—
233	C₂	—	688	4	no	—
234	C₂	#19135435	1	1	yes	characteristic
235	C₂	#19135471	1	1	yes	characteristic
236	C₂	#19135505	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#14583276

C₂

yes

maximal, characteristic

#19135435

C₂

yes

maximal, complemented

#19133351

C₂

yes

maximal, characteristic, complemented

#19133262

C₂

yes

maximal, complemented

C₄₃×#1451

C₂

yes

maximal, characteristic, complemented

C₂²×D₃₄₄

C₄

yes

—

C₂×#13063322

C₂²

yes

—

—

—

—

C₂²

yes

—

C₂×#13063241

—

#14582650

—

#14582642

—

C₄₃×#431

C₂²

yes

characteristic

C₄×M₁₆×C₄₃

C₂²

yes

characteristic

C₂×C₄×C₈×C₄₃

C₂²

yes

characteristic

C₄₃×#322

—

C₄₃×#322

—

C₂²×D₁₇₂

—

C₂²×D₁₇₂

—

C₂²×D₁₇₂

C₂×C₄

yes

—

C₂×D₃₄₄

—

C₂×D₃₄₄

—

C₂×D₃₄₄

—

—

—

—

—

—

C₄⋊(C₄₃⋊C₈)

—

C₄⋊(C₄₃⋊C₈)

—

#13063241

—

C₂×M₁₆×C₄₃

D₄

yes

—

C₂²×C₈×C₄₃

C₂×C₄

yes

—

C₂×C₄²×C₄₃

C₂³

yes

characteristic

C₄⋊C₈×C₄₃

D₄

yes

—

C₂²⋊C₈×C₄₃

—

#97×C₄₃

—

C₄×C₈×C₄₃

—

C₄×C₈×C₄₃

—

C₄×C₈×C₄₃

D₄

yes

—

C₄×C₈×C₄₃

D₄

yes

characteristic

C₄×C₈×C₄₃

D₄

yes

characteristic

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

—

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

—

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

—

C₈×C₄₃

#100

yes

complemented

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

—

117

#1545

—

118

#1451

D₄₃

yes

characteristic, complemented

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

C₂×D₄₃

yes

characteristic

130

#423

—

131

C₂×#100

—

132

C₄×M₁₆

C₂×D₄₃

yes

characteristic

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

D₁₇₂

yes

—

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

D₁₇₂

yes

—

156

#100

—

172

—

157

C₂²⋊C₈

—

158

#97

—

159

C₄×C₈

—

160

C₄×C₈

—

161

C₄×C₈

D₁₇₂

yes

—

162

C₄×C₈

C₂²⋊D₄₃

yes

characteristic

163

C₄×C₈

C₂²⋊D₄₃

yes

characteristic

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

C₂×D₁₇₂

yes

characteristic

177

C₂²×C₄

#10621898

yes

characteristic

178

D₈

—

172

—

179

D₈

—

172

—

180

M₁₆

—

181

M₁₆

—

172

—

182

C₂×C₈

—

183

C₂×C₈

—

184

C₂×C₈

—

185

C₂×C₈

—

172

—

186

C₂×C₈

(C₂×D₄₃)⋊C₄

yes

—

187

C₂×C₈

(C₂×D₄₃)⋊C₄

yes

—

188

C₄²

C₂×D₁₇₂

yes

characteristic

189

C₄²

C₂×D₁₇₂

yes

characteristic

190

C₄²

#10621898

yes

characteristic

191

C₄²

C₂×C₂²⋊D₄₃

yes

characteristic

192

C₂³

—

344

—

193

C₂³

—

344

—

194

C₂³

—

172

—

195

C₂³

—

172

—

196

C₂³

C₄×D₁₇₂

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

C₄×D₁₇₂

yes

characteristic

208

C₂×C₄

#13063299

yes

characteristic

209

C₂×C₄

#13063299

yes

characteristic

210

C₂×C₄

#13063313

yes

characteristic

211

C₂×C₄

#13063322

yes

characteristic

212

C₂×C₄

#13063353

yes

—

213

C₈

—

214

C₈

—

215

C₈

—

216

C₈

—

344

—

217

C₈

#13063241

yes

complemented

218

C₂²

—

219

C₂²

—

220

C₂²

—

344

—

221

C₂²

—

344

—

222

C₂²

—

344

—

223

C₂²

—

688

—

224

C₂²

#14582801

yes

characteristic

225

C₂²

#14583012

yes

—

226

C₄

—

227

C₄

—

228

C₄

C₂×#13063241

yes

—

229

C₄

#14583152

yes

—

230

C₄

#14583169

yes

—

231

C₄

#14583288

yes

—

232

C₂

—

233

C₂

—

688

—

234

C₂

#19135435

yes

characteristic

235

C₂

#19135471

yes

characteristic

236

C₂

#19135505

yes

characteristic

	subgroup	G/H
center	C₂²	#14582801
commutator	C₂²×C₄×C₄₃	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₄₃
Fitting	C₄₃×#1451	C₂
socle	C₂²×C₄₃	#390
prime radical	C₂×#14583276	C₂
cosocle	C₂×C₄²×C₄₃	C₂³
hypercenter	#1451	D₄₃
hypocenter	C₄₃	#9811
LCS	G ▷ C₂²×C₄×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1451

subgroup

G/H

center

C₂²

#14582801

commutator

C₂²×C₄×C₄₃

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₄₃

Fitting

C₄₃×#1451

C₂

C₂²×C₄₃

C₂

C₂×C₄²×C₄₃

C₂³

D₄₃

C₄₃

G ▷ C₂²×C₄×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1451

N	H ≅ G/N	type
2. #19135435	C₂	semidirect
3. #19133351	C₂	semidirect
4. #19133262	C₂	semidirect
5. C₄₃×#1451	C₂	semidirect
97. C₈×C₄₃	#100	semidirect
118. #1451	D₄₃	semidirect
138. C₄₃	#9811	semidirect
217. C₈	#13063241	semidirect

H ≅ G/N

type

2. #19135435

C₂

semidirect

3. #19133351

C₂

semidirect

4. #19133262

C₂

semidirect

5. C₄₃×#1451

C₂

semidirect

97. C₈×C₄₃

#100

semidirect

118. #1451

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
#19135435	2
#19133351	2
#19133262	2
C₄₃×#1451	2
#9811	43

subgroup

index

C₄₃×#1451

Subgroups — #24996286

Conjugacy classes of subgroups

Complements

Maximal subgroups