Group #25252200 — subgroups

Subgroups — #25252200

Order 11008.

532 conjugacy classes of subgroups; only the 139 normal subgroups are shown.

normal subgroups only

This group has 532 conjugacy classes of subgroups — too many to draw. Only its 139 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	#19145242	C₂	1	2	yes	maximal, complemented
2	#19136874	C₂	1	1	yes	maximal, characteristic, complemented
3	#19136836	C₂	1	2	yes	maximal, complemented
4	#19136695	C₂	1	2	yes	maximal, complemented
5	#19136678	C₂	1	2	yes	maximal, complemented
6	#19136471	C₂	1	2	yes	maximal, complemented
7	D₁₆×Dic₄₃	C₂	1	2	yes	maximal, complemented
8	#19136190	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₃×#2246	C₂	1	1	yes	maximal, characteristic, complemented
10	#14583503	—	2	2	no	—
11	C₂×#13063264	C₂²	1	1	yes	characteristic
12	C₂×C₁₆×D₄₃	C₂²	1	1	yes	characteristic
13	#14583301	C₂²	1	2	yes	—
14	#14583263	—	2	2	no	—
15	#14583149	—	2	2	no	—
16	#14583132	C₂²	1	4	yes	—
17	#14583011	—	2	2	no	—
18	D₈×Dic₄₃	C₂²	1	4	yes	—
19	#14582853	C₂²	1	1	yes	characteristic
20	#14582727	C₂²	1	2	yes	—
21	#14582725	C₂²	1	2	yes	—
22	#14582700	C₂²	1	4	yes	—
23	#14582700	C₂²	1	4	yes	—
24	#14582675	C₂²	1	1	yes	characteristic
25	#14582674	C₂²	1	1	yes	characteristic
26	C₁₆×Dic₄₃	C₂²	1	1	yes	characteristic
27	C₂×D₁₆×C₄₃	C₂²	1	2	yes	—
28	C₂×D₁₆×C₄₃	C₂²	1	2	yes	—
29	C₄₃×#493	C₂²	1	2	yes	—
30	C₄×C₁₆×C₄₃	C₂²	1	1	yes	characteristic
31	C₂×#10621872	D₄	1	1	yes	characteristic
32	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
33	#13063317	—	2	2	no	—
34	#13063306	—	4	4	no	—
35	#13063297	—	4	4	no	—
36	#13063296	—	2	4	no	—
37	D₄×Dic₄₃	—	2	4	no	—
38	#13063282	D₄	1	1	yes	characteristic
39	#13063264	—	2	2	no	—
40	C₂×C₄₃⋊C₁₆	C₂³	1	1	yes	characteristic
41	C₂×C₄₃⋊C₁₆	C₂³	1	1	yes	characteristic
42	C₁₆×D₄₃	—	2	2	no	—
43	#13063259	C₂³	1	4	yes	—
44	#13063257	—	2	2	no	—
45	#13063246	—	2	4	no	—
46	#13063246	—	2	4	no	—
47	#13063236	D₄	1	1	yes	characteristic
48	#13063235	D₄	1	1	yes	characteristic
49	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
50	C₂×D₈×C₄₃	—	2	2	no	—
51	C₂×D₈×C₄₃	C₂³	1	4	yes	—
52	#127×C₄₃	—	2	2	no	—
53	D₁₆×C₄₃	—	2	4	no	—
54	D₁₆×C₄₃	—	2	4	no	—
55	C₂×C₁₆×C₄₃	C₂³	1	1	yes	characteristic
56	C₂×C₁₆×C₄₃	C₂³	1	1	yes	characteristic
57	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
58	C₂×D₄×C₄₃	—	2	4	no	—
59	C₂×D₄×C₄₃	—	4	4	no	—
60	C₂×C₂²⋊D₄₃	—	4	4	no	—
61	C₂²×Dic₄₃	—	4	4	no	—
62	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
63	D₈×C₄₃	—	2	4	no	—
64	D₈×C₄₃	—	2	4	no	—
65	D₈×C₄₃	—	4	4	no	—
66	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
67	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
68	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
69	C₂²⋊Dic₄₃	—	4	4	no	—
70	C₂²⋊Dic₄₃	—	4	4	no	—
71	(C₂×D₄₃)⋊C₄	D₈	1	2	yes	—
72	C₄⋊Dic₄₃	—	2	4	no	—
73	Dic₄₃⋊C₄	—	4	4	no	—
74	Dic₄₃⋊C₄	D₈	1	2	yes	—
75	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
76	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
77	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
78	#10621872	—	2	2	no	—
79	C₈×D₄₃	—	2	1	no	—
80	C₈×D₄₃	—	2	1	no	—
81	C₁₆×C₄₃	#41	1	2	yes	—
82	C₁₆×C₄₃	#41	1	2	yes	—
83	C₄₃⋊C₁₆	—	2	1	no	—
84	C₄₃⋊C₁₆	—	2	1	no	—
85	C₂³×C₄₃	—	4	4	no	—
86	C₂²×D₄₃	C₂×D₈	1	1	yes	characteristic
87	D₄×C₄₃	—	4	4	no	—
88	D₄×C₄₃	—	4	4	no	—
89	D₄×C₄₃	—	16	4	no	—
90	C₂×C₄×C₄₃	C₂×D₈	1	2	yes	—
91	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
92	C₂²⋊D₄₃	—	16	4	no	—
93	C₂×Dic₄₃	—	4	4	no	—
94	C₂×Dic₄₃	—	16	4	no	—
95	C₂×Dic₄₃	C₂×D₈	1	2	yes	—
96	C₂×Dic₄₃	C₂×D₈	1	1	yes	characteristic
97	C₄×D₄₃	—	2	1	no	—
98	C₄×D₄₃	—	2	1	no	—
99	C₈×C₄₃	#135	1	2	yes	—
100	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
101	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
102	C₄₃⋊C₈	—	2	1	no	—
103	C₄₃⋊C₈	—	2	1	no	—
104	#33740	—	43	1	no	maximal, Sylow
105	C₂²×C₄₃	—	8	4	no	—
106	C₂²×C₄₃	—	8	4	no	—
107	C₂²×C₄₃	—	8	4	no	—
108	C₂²×C₄₃	C₂²×D₈	1	1	yes	characteristic
109	C₂×D₄₃	—	2	2	no	—
110	C₂×D₄₃	—	2	1	no	—
111	C₄×C₄₃	—	2	2	no	—
112	C₄×C₄₃	#532	1	1	yes	characteristic
113	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
114	Dic₄₃	—	2	2	no	—
115	Dic₄₃	—	2	1	no	—
116	Dic₄₃	—	8	4	no	—
117	#3176	—	43	2	no	—
118	#2253	—	43	1	no	—
119	#2246	D₄₃	1	1	yes	characteristic, complemented
120	#2244	—	43	2	no	—
121	#2218	—	43	2	no	—
122	#2215	—	43	2	no	—
123	#2177	—	43	2	no	—
124	C₄×D₁₆	—	43	2	no	—
125	#2108	—	43	1	no	—
126	C₂×C₄₃	—	16	4	no	—
127	C₂×C₄₃	#3169	1	1	yes	characteristic
128	C₂×C₄₃	#3415	1	2	yes	—
129	D₄₃	—	4	1	no	—
130	#540	—	86	2	no	—
131	C₂×D₁₆	C₂×D₄₃	1	2	yes	—
132	C₂×D₁₆	C₂×D₄₃	1	2	yes	—
133	C₂×M₃₂	—	43	1	no	—
134	C₂²×C₁₆	—	43	1	no	—
135	#499	—	43	2	no	—
136	#493	C₂×D₄₃	1	2	yes	—
137	#490	—	86	2	no	—
138	#469	—	86	2	no	—
139	#466	—	43	4	no	—
140	#442	—	86	2	no	—
141	C₄×D₈	—	43	4	no	—
142	#405	—	43	1	no	—
143	#367	—	43	2	no	—
144	#366	—	43	2	no	—
145	#357	—	43	4	no	—
146	#357	—	43	4	no	—
147	#346	—	43	1	no	—
148	#346	—	43	1	no	—
149	C₄×C₁₆	—	43	1	no	—
150	C₄×C₁₆	C₂×D₄₃	1	1	yes	characteristic
151	C₄₃	#33740	1	1	yes	characteristic, complemented, Sylow
152	C₂×D₈	—	2	2	no	—
153	C₂×D₈	C₂²×D₄₃	1	4	yes	—
154	C₂×M₁₆	—	43	1	no	—
155	C₂²×C₈	—	43	1	no	—
156	#127	—	2	2	no	—
157	#125	—	86	2	no	—
158	#123	—	172	4	no	—
159	#121	—	86	4	no	—
160	#121	—	172	4	no	—
161	C₄×D₄	—	86	4	no	—
162	#117	—	43	1	no	—
163	D₁₆	—	2	4	no	—
164	D₁₆	—	2	4	no	—
165	M₃₂	—	86	2	no	—
166	C₂×C₁₆	—	43	1	no	—
167	C₂×C₁₆	—	43	1	no	—
168	C₂×C₁₆	—	86	2	no	—
169	C₂×C₁₆	C₂²×D₄₃	1	1	yes	characteristic
170	C₂×C₁₆	C₂²×D₄₃	1	1	yes	characteristic
171	#107	—	43	4	no	—
172	#106	—	86	2	no	—
173	#102	—	86	4	no	—
174	#102	—	86	4	no	—
175	#97	—	43	1	no	—
176	#97	—	43	1	no	—
177	C₄×C₈	—	43	1	no	—
178	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
179	C₂×D₄	—	2	4	no	—
180	C₂×D₄	—	4	4	no	—
181	C₂×D₄	—	172	4	no	—
182	C₂²×C₄	—	43	1	no	—
183	C₂²×C₄	—	172	4	no	—
184	D₈	—	2	4	no	—
185	D₈	—	2	4	no	—
186	D₈	—	4	4	no	—
187	M₁₆	—	86	2	no	—
188	C₂×C₈	—	43	1	no	—
189	C₂×C₈	—	43	1	no	—
190	C₂×C₈	—	86	1	no	—
191	C₂×C₈	—	86	1	no	—
192	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
193	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
194	C₄⋊C₄	—	43	2	no	—
195	C₄⋊C₄	—	86	4	no	—
196	C₄⋊C₄	—	172	4	no	—
197	C₂²⋊C₄	—	43	2	no	—
198	C₂²⋊C₄	—	172	4	no	—
199	C₂²⋊C₄	—	172	4	no	—
200	C₄²	—	43	1	no	—
201	C₄²	D₄×D₄₃	1	1	yes	characteristic
202	C₁₆	—	86	1	no	—
203	C₁₆	—	86	1	no	—
204	C₁₆	#10621900	1	2	yes	—
205	C₁₆	#10621900	1	2	yes	—
206	C₂³	—	4	4	no	—
207	C₂³	—	43	1	no	—
208	D₄	—	4	4	no	—
209	D₄	—	4	4	no	—
210	D₄	—	16	4	no	—
211	D₄	—	688	4	no	—
212	C₂×C₄	—	43	2	no	—
213	C₂×C₄	—	43	1	no	—
214	C₂×C₄	—	86	1	no	—
215	C₂×C₄	—	86	1	no	—
216	C₂×C₄	—	172	4	no	—
217	C₂×C₄	—	688	4	no	—
218	C₂×C₄	D₈×D₄₃	1	2	yes	—
219	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
220	C₈	—	86	1	no	—
221	C₈	—	86	1	no	—
222	C₈	#13063344	1	2	yes	—
223	C₈	C₂×#10621900	1	1	yes	characteristic
224	C₈	C₂×#10621900	1	1	yes	characteristic
225	C₂²	—	8	4	no	—
226	C₂²	—	8	4	no	—
227	C₂²	—	8	4	no	—
228	C₂²	—	86	1	no	—
229	C₂²	—	86	2	no	—
230	C₂²	C₂×D₈×D₄₃	1	1	yes	characteristic
231	C₄	—	2	2	no	—
232	C₄	—	86	1	no	—
233	C₄	—	86	2	no	—
234	C₄	—	344	4	no	—
235	C₄	#14583447	1	1	yes	characteristic
236	C₄	C₂×#13063344	1	1	yes	characteristic
237	C₂	—	16	4	no	—
238	C₂	—	172	1	no	—
239	C₂	#19145172	1	1	yes	characteristic
240	C₂	#19147732	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

#19145242

C₂

yes

maximal, complemented

#19136874

C₂

yes

maximal, characteristic, complemented

#19136836

C₂

yes

maximal, complemented

#19136695

C₂

yes

maximal, complemented

#19136678

C₂

yes

maximal, complemented

#19136471

C₂

yes

maximal, complemented

D₁₆×Dic₄₃

C₂

yes

maximal, complemented

#19136190

C₂

yes

maximal, characteristic, complemented

C₄₃×#2246

C₂

yes

maximal, characteristic, complemented

#14583503

—

C₂×#13063264

C₂²

yes

characteristic

C₂×C₁₆×D₄₃

C₂²

yes

characteristic

#14583301

C₂²

yes

—

#14583263

—

#14583149

—

#14583132

C₂²

yes

—

#14583011

—

D₈×Dic₄₃

C₂²

yes

—

#14582853

C₂²

yes

characteristic

#14582727

C₂²

yes

—

#14582725

C₂²

yes

—

#14582700

C₂²

yes

—

#14582700

C₂²

yes

—

#14582675

C₂²

yes

characteristic

#14582674

C₂²

yes

characteristic

C₁₆×Dic₄₃

C₂²

yes

characteristic

C₂×D₁₆×C₄₃

C₂²

yes

—

C₂×D₁₆×C₄₃

C₂²

yes

—

C₄₃×#493

C₂²

yes

—

C₄×C₁₆×C₄₃

C₂²

yes

characteristic

C₂×#10621872

D₄

yes

characteristic

C₂×C₈×D₄₃

C₂³

yes

—

—

—

—

D₄×Dic₄₃

—

#13063282

D₄

yes

characteristic

#13063264

—

C₂×C₄₃⋊C₁₆

C₂³

yes

characteristic

C₂×C₄₃⋊C₁₆

C₂³

yes

characteristic

C₁₆×D₄₃

—

#13063259

C₂³

yes

—

—

—

—

D₄

yes

characteristic

#13063235

D₄

yes

characteristic

C₈×Dic₄₃

C₂³

yes

characteristic

C₂×D₈×C₄₃

—

C₂×D₈×C₄₃

C₂³

yes

—

#127×C₄₃

—

D₁₆×C₄₃

—

D₁₆×C₄₃

—

C₂×C₁₆×C₄₃

C₂³

yes

characteristic

C₂×C₁₆×C₄₃

C₂³

yes

characteristic

C₄×C₈×C₄₃

C₂³

yes

characteristic

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×C₂²⋊D₄₃

—

C₂²×Dic₄₃

—

C₂×C₄×D₄₃

C₂×D₄

yes

characteristic

D₈×C₄₃

—

D₈×C₄₃

—

D₈×C₄₃

—

C₂×C₈×C₄₃

C₂×D₄

yes

characteristic

C₂×C₈×C₄₃

C₂⁴

yes

characteristic

C₄²×C₄₃

C₂×D₄

yes

characteristic

C₂²⋊Dic₄₃

—

C₂²⋊Dic₄₃

—

(C₂×D₄₃)⋊C₄

D₈

yes

—

C₄⋊Dic₄₃

—

Dic₄₃⋊C₄

—

Dic₄₃⋊C₄

D₈

yes

—

C₄×Dic₄₃

C₂×D₄

yes

characteristic

C₂×C₄₃⋊C₈

C₂×D₄

yes

characteristic

C₂×C₄₃⋊C₈

C₂×D₄

yes

characteristic

#10621872

—

C₈×D₄₃

—

C₈×D₄₃

—

C₁₆×C₄₃

#41

yes

—

C₁₆×C₄₃

#41

yes

—

C₄₃⋊C₁₆

—

C₄₃⋊C₁₆

—

C₂³×C₄₃

—

C₂²×D₄₃

C₂×D₈

yes

characteristic

D₄×C₄₃

—

D₄×C₄₃

—

D₄×C₄₃

—

C₂×C₄×C₄₃

C₂×D₈

yes

—

C₂×C₄×C₄₃

C₂²×D₄

yes

characteristic

C₂²⋊D₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

C₂×D₈

yes

—

C₂×Dic₄₃

C₂×D₈

yes

characteristic

C₄×D₄₃

—

C₄×D₄₃

—

C₈×C₄₃

#135

yes

—

100

C₈×C₄₃

C₂×#41

yes

characteristic

101

C₈×C₄₃

C₂×#41

yes

characteristic

102

C₄₃⋊C₈

—

103

C₄₃⋊C₈

—

104

#33740

—

maximal, Sylow

105

C₂²×C₄₃

—

106

C₂²×C₄₃

—

107

C₂²×C₄₃

—

108

C₂²×C₄₃

C₂²×D₈

yes

characteristic

109

C₂×D₄₃

—

110

C₂×D₄₃

—

111

C₄×C₄₃

—

112

C₄×C₄₃

#532

yes

characteristic

113

C₄×C₄₃

C₂×#135

yes

characteristic

114

Dic₄₃

—

115

Dic₄₃

—

116

Dic₄₃

—

117

#3176

—

118

#2253

—

119

#2246

D₄₃

yes

characteristic, complemented

120

#2244

—

121

#2218

—

122

#2215

—

123

#2177

—

124

C₄×D₁₆

—

125

#2108

—

126

C₂×C₄₃

—

127

C₂×C₄₃

#3169

yes

characteristic

128

C₂×C₄₃

#3415

yes

—

129

D₄₃

—

130

#540

—

131

C₂×D₁₆

C₂×D₄₃

yes

—

132

C₂×D₁₆

C₂×D₄₃

yes

—

133

C₂×M₃₂

—

134

C₂²×C₁₆

—

135

#499

—

136

#493

C₂×D₄₃

yes

—

137

#490

—

138

#469

—

139

#466

—

140

#442

—

141

C₄×D₈

—

142

#405

—

143

#367

—

144

#366

—

145

#357

—

146

#357

—

147

#346

—

148

#346

—

149

C₄×C₁₆

—

150

C₄×C₁₆

C₂×D₄₃

yes

characteristic

151

C₄₃

#33740

yes

characteristic, complemented, Sylow

152

C₂×D₈

—

153

C₂×D₈

C₂²×D₄₃

yes

—

154

C₂×M₁₆

—

155

C₂²×C₈

—

156

#127

—

157

#125

—

158

#123

—

172

—

159

#121

—

160

#121

—

172

—

161

C₄×D₄

—

162

#117

—

163

D₁₆

—

164

D₁₆

—

165

M₃₂

—

166

C₂×C₁₆

—

167

C₂×C₁₆

—

168

C₂×C₁₆

—

169

C₂×C₁₆

C₂²×D₄₃

yes

characteristic

170

C₂×C₁₆

C₂²×D₄₃

yes

characteristic

171

#107

—

172

#106

—

173

#102

—

174

#102

—

175

#97

—

176

#97

—

177

C₄×C₈

—

178

C₄×C₈

C₂²×D₄₃

yes

characteristic

179

C₂×D₄

—

180

C₂×D₄

—

181

C₂×D₄

—

172

—

182

C₂²×C₄

—

183

C₂²×C₄

—

172

—

184

D₈

—

185

D₈

—

186

D₈

—

187

M₁₆

—

188

C₂×C₈

—

189

C₂×C₈

—

190

C₂×C₈

—

191

C₂×C₈

—

192

C₂×C₈

D₄×D₄₃

yes

characteristic

193

C₂×C₈

C₂³×D₄₃

yes

characteristic

194

C₄⋊C₄

—

195

C₄⋊C₄

—

196

C₄⋊C₄

—

172

—

197

C₂²⋊C₄

—

198

C₂²⋊C₄

—

172

—

199

C₂²⋊C₄

—

172

—

200

C₄²

—

201

C₄²

D₄×D₄₃

yes

characteristic

202

C₁₆

—

203

C₁₆

—

204

C₁₆

#10621900

yes

—

205

C₁₆

#10621900

yes

—

206

C₂³

—

207

C₂³

—

208

D₄

—

209

D₄

—

210

D₄

—

211

D₄

—

688

—

212

C₂×C₄

—

213

C₂×C₄

—

214

C₂×C₄

—

215

C₂×C₄

—

216

C₂×C₄

—

172

—

217

C₂×C₄

—

688

—

218

C₂×C₄

D₈×D₄₃

yes

—

219

C₂×C₄

C₂×D₄×D₄₃

yes

characteristic

220

C₈

—

221

C₈

—

222

C₈

#13063344

yes

—

223

C₈

C₂×#10621900

yes

characteristic

224

C₈

C₂×#10621900

yes

characteristic

225

C₂²

—

226

C₂²

—

227

C₂²

—

228

C₂²

—

229

C₂²

—

230

C₂²

C₂×D₈×D₄₃

yes

characteristic

231

C₄

—

232

C₄

—

233

C₄

—

234

C₄

—

344

—

235

C₄

#14583447

yes

characteristic

236

C₄

C₂×#13063344

yes

characteristic

237

C₂

—

238

C₂

—

172

—

239

C₂

#19145172

yes

characteristic

240

C₂

#19147732

yes

—

	subgroup	G/H
center	C₂²	C₂×D₈×D₄₃
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄₃×#2246	C₂
socle	C₂²×C₄₃	C₂²×D₈
hypercenter	#2246	D₄₃
hypocenter	C₄₃	#33740
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ C₄×C₈ ◁ #2246

subgroup

G/H

center

C₂²

C₂×D₈×D₄₃

commutator, cosocle

C₂×C₈×C₄₃

C₂⁴

Frattini

C₂×C₈

C₂³×D₄₃

Fitting

C₄₃×#2246

C₂

socle

C₂²×C₄₃

C₂²×D₈

D₄₃

C₄₃

G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂² ◁ C₄² ◁ C₄×C₈ ◁ #2246

N	H ≅ G/N	type
1. #19145242	C₂	semidirect
2. #19136874	C₂	semidirect
3. #19136836	C₂	semidirect
4. #19136695	C₂	semidirect
5. #19136678	C₂	semidirect
6. #19136471	C₂	semidirect
7. D₁₆×Dic₄₃	C₂	semidirect
8. #19136190	C₂	semidirect
9. C₄₃×#2246	C₂	semidirect
119. #2246	D₄₃	semidirect
151. C₄₃	#33740	semidirect

H ≅ G/N

type

1. #19145242

C₂

semidirect

2. #19136874

C₂

semidirect

3. #19136836

C₂

semidirect

4. #19136695

C₂

semidirect

5. #19136678

C₂

semidirect

6. #19136471

C₂

semidirect

7. D₁₆×Dic₄₃

C₂

semidirect

8. #19136190

C₂

semidirect

9. C₄₃×#2246

C₂

semidirect

119. #2246

D₄₃

semidirect

151. C₄₃

#33740

semidirect

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

subgroup	index
#19145242	2
#19136874	2
#19136836	2
#19136695	2
#19136678	2
#19136471	2
D₁₆×Dic₄₃	2
#19136190	2
C₄₃×#2246	2
#33740	43

subgroup

index

D₁₆×Dic₄₃

C₄₃×#2246

Subgroups — #25252200

Conjugacy classes of subgroups

Complements

Maximal subgroups