Group #19135696 — subgroups

Subgroups — #19135696

Order 5504.

370 conjugacy classes of subgroups; only the 93 normal subgroups are shown.

normal subgroups only

This group has 370 conjugacy classes of subgroups — too many to draw. Only its 93 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	C₂²×Dic₁₇₂	C₂	1	1	yes	maximal, characteristic
2	C₂²×#10621885	C₂	1	1	yes	maximal, characteristic
3	C₂×#13063323	C₂	1	1	yes	maximal, characteristic
4	C₂×#13063248	C₂	1	1	yes	maximal, characteristic
5	#14582804	C₂	1	1	yes	maximal, characteristic
6	#14582653	C₂	1	1	yes	maximal, characteristic
7	C₂×#103×C₄₃	C₂	1	1	yes	maximal, characteristic
8	C₂²×Dic₈₆	C₂²	1	1	yes	characteristic
9	C₂²×Dic₈₆	C₂²	1	1	yes	characteristic
10	C₂×Dic₁₇₂	—	2	2	no	—
11	C₂×Dic₁₇₂	—	2	2	no	—
12	C₂×Dic₁₇₂	—	2	2	no	—
13	C₂×#10621885	—	2	2	no	—
14	C₂×#10621885	—	2	2	no	—
15	C₂×#10621885	—	2	2	no	—
16	C₂²×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
17	#13063323	—	2	2	no	—
18	#13063323	—	2	2	no	—
19	C₂×Dic₄₃⋊C₄	—	2	2	no	—
20	C₂×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
21	#13063248	—	2	2	no	—
22	C₄₃⋊#95	—	2	2	no	—
23	C₂²×Q₈×C₄₃	C₂²	1	1	yes	characteristic
24	C₂²×C₈×C₄₃	C₂²	1	1	yes	characteristic
25	C₂×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
26	#103×C₄₃	—	2	2	no	—
27	C₂×Q₈×C₄₃	—	2	1	no	—
28	C₂×Q₈×C₄₃	—	2	1	no	—
29	C₂×Q₈×C₄₃	—	2	1	no	—
30	C₂×Q₈×C₄₃	—	2	1	no	—
31	C₂×Q₈×C₄₃	—	2	1	no	—
32	C₂×Q₈×C₄₃	D₄	1	2	yes	—
33	C₂²×C₄×C₄₃	—	2	1	no	—
34	C₂²×C₄×C₄₃	—	2	1	no	—
35	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
36	C₂²×Dic₄₃	—	2	1	no	—
37	C₂²×Dic₄₃	—	2	1	no	—
38	C₂²×Dic₄₃	D₄	1	2	yes	—
39	C₂×Dic₈₆	—	2	1	no	—
40	C₂×Dic₈₆	—	2	1	no	—
41	C₂×Dic₈₆	—	2	1	no	—
42	C₂×Dic₈₆	—	2	1	no	—
43	C₂×Dic₈₆	—	2	1	no	—
44	C₂×Dic₈₆	—	2	1	no	—
45	C₂×Dic₈₆	—	2	1	no	—
46	C₂×Dic₈₆	—	2	1	no	—
47	C₂×Dic₈₆	—	2	1	no	—
48	C₂×Dic₈₆	—	2	1	no	—
49	C₂×Dic₈₆	D₄	1	2	yes	—
50	C₂×Dic₈₆	D₄	1	2	yes	—
51	C₂×C₈×C₄₃	—	2	1	no	—
52	C₂×C₈×C₄₃	—	2	1	no	—
53	C₂×C₈×C₄₃	D₄	1	2	yes	—
54	C₄⋊C₄×C₄₃	—	2	1	no	—
55	C₄⋊C₄×C₄₃	—	2	1	no	—
56	#10621885	—	2	8	no	—
57	Dic₄₃⋊C₄	—	2	8	no	—
58	C₄×Dic₄₃	—	2	1	no	—
59	C₄×Dic₄₃	—	2	1	no	—
60	C₂×C₄₃⋊C₈	—	2	1	no	—
61	C₂×C₄₃⋊C₈	—	2	1	no	—
62	C₂×C₄₃⋊C₈	D₄	1	2	yes	—
63	Dic₁₇₂	—	2	8	no	—
64	C₂³×C₄₃	C₂×D₄	1	1	yes	characteristic
65	Q₈×C₄₃	—	2	2	no	—
66	Q₈×C₄₃	—	2	2	no	—
67	Q₈×C₄₃	—	4	1	no	—
68	Q₈×C₄₃	—	4	1	no	—
69	C₂×C₄×C₄₃	—	2	2	no	—
70	C₂×C₄×C₄₃	—	4	1	no	—
71	C₂×C₄×C₄₃	—	4	1	no	—
72	C₂×C₄×C₄₃	—	4	1	no	—
73	C₂×C₄×C₄₃	—	4	2	no	—
74	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
75	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
76	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
77	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
78	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
79	C₂×C₄×C₄₃	#41	1	1	yes	characteristic
80	C₂×Dic₄₃	—	2	2	no	—
81	C₂×Dic₄₃	—	2	2	no	—
82	C₂×Dic₄₃	—	2	2	no	—
83	C₂×Dic₄₃	—	2	2	no	—
84	C₂×Dic₄₃	—	4	1	no	—
85	C₂×Dic₄₃	—	4	1	no	—
86	C₂×Dic₄₃	—	4	1	no	—
87	C₂×Dic₄₃	—	4	1	no	—
88	C₂×Dic₄₃	Q₁₆	1	4	yes	complemented
89	Dic₈₆	—	2	2	no	—
90	Dic₈₆	—	2	2	no	—
91	Dic₈₆	—	2	2	no	—
92	Dic₈₆	—	2	2	no	—
93	Dic₈₆	—	4	1	no	—
94	Dic₈₆	—	4	1	no	—
95	Dic₈₆	—	4	1	no	—
96	Dic₈₆	—	4	1	no	—
97	C₈×C₄₃	—	2	2	no	—
98	C₄₃⋊C₈	—	2	2	no	—
99	C₂²×C₄₃	#120	1	1	yes	characteristic
100	C₂²×C₄₃	#121	1	1	yes	characteristic
101	C₂²×C₄₃	#127	1	1	yes	characteristic
102	C₂²×C₄₃	C₂×Q₁₆	1	2	yes	—
103	C₂²×C₄₃	#137	1	2	yes	—
104	C₄×C₄₃	—	4	2	no	—
105	C₄×C₄₃	—	8	1	no	—
106	C₄×C₄₃	#120	1	1	yes	characteristic
107	C₄×C₄₃	#120	1	1	yes	characteristic
108	C₄×C₄₃	#121	1	1	yes	characteristic
109	C₄×C₄₃	#121	1	1	yes	characteristic
110	Dic₄₃	—	2	4	no	—
111	Dic₄₃	—	4	2	no	—
112	Dic₄₃	—	4	2	no	—
113	#2016	—	43	1	no	maximal, Sylow
114	C₂×C₄₃	#392	1	1	yes	characteristic
115	C₂×C₄₃	#451	1	2	yes	—
116	C₂×C₄₃	#462	1	2	yes	—
117	C₂×C₄₃	#494	1	1	yes	characteristic
118	C₂×C₄₃	#497	1	1	yes	characteristic
119	C₂²×Q₁₆	—	43	1	no	—
120	C₂²×Q₁₆	—	43	1	no	—
121	C₂×C₄⋊Q₈	—	43	1	no	—
122	C₂×#103	—	43	1	no	—
123	C₂×#103	D₄₃	1	1	yes	characteristic
124	#391	—	43	1	no	—
125	#336	—	43	1	no	—
126	C₄₃	#2016	1	1	yes	characteristic, complemented, Sylow
127	C₂²×Q₈	—	43	1	no	—
128	C₂²×Q₈	—	43	1	no	—
129	C₂²×Q₈	C₂×D₄₃	1	1	yes	characteristic
130	C₂×Q₁₆	—	86	2	no	—
131	C₂×Q₁₆	—	86	2	no	—
132	C₂×Q₁₆	—	86	2	no	—
133	C₂×Q₁₆	—	86	2	no	—
134	C₂×Q₁₆	—	86	2	no	—
135	C₂×Q₁₆	—	86	2	no	—
136	C₂²×C₈	—	43	1	no	—
137	C₂²×C₈	C₂×D₄₃	1	1	yes	characteristic
138	C₄⋊Q₈	—	86	2	no	—
139	C₄⋊Q₈	—	86	2	no	—
140	C₂×C₄⋊C₄	—	86	2	no	—
141	C₂×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
142	C₂×C₄²	—	43	1	no	—
143	#103	—	2	2	no	—
144	#103	—	86	2	no	—
145	#95	—	86	2	no	—
146	C₂×Q₈	—	2	1	no	—
147	C₂×Q₈	—	2	1	no	—
148	C₂×Q₈	—	2	1	no	—
149	C₂×Q₈	—	2	1	no	—
150	C₂×Q₈	—	2	1	no	—
151	C₂×Q₈	—	43	2	no	—
152	C₂×Q₈	—	43	2	no	—
153	C₂×Q₈	—	86	1	no	—
154	C₂×Q₈	—	86	1	no	—
155	C₂×Q₈	—	86	1	no	—
156	C₂×Q₈	—	86	1	no	—
157	C₂×Q₈	—	86	1	no	—
158	C₂×Q₈	—	86	1	no	—
159	C₂×Q₈	—	86	1	no	—
160	C₂×Q₈	—	86	1	no	—
161	C₂×Q₈	—	86	1	no	—
162	C₂×Q₈	—	86	1	no	—
163	C₂×Q₈	D₁₇₂	1	2	yes	—
164	C₂²×C₄	—	2	1	no	—
165	C₂²×C₄	—	2	1	no	—
166	C₂²×C₄	—	43	2	no	—
167	C₂²×C₄	—	86	1	no	—
168	C₂²×C₄	—	86	1	no	—
169	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
170	Q₁₆	—	86	8	no	—
171	Q₁₆	—	86	8	no	—
172	C₂×C₈	—	2	1	no	—
173	C₂×C₈	—	2	1	no	—
174	C₂×C₈	—	43	2	no	—
175	C₂×C₈	—	86	1	no	—
176	C₂×C₈	—	86	1	no	—
177	C₂×C₈	C₂²⋊D₄₃	1	2	yes	—
178	C₄⋊C₄	—	2	1	no	—
179	C₄⋊C₄	—	2	1	no	—
180	C₄⋊C₄	—	86	8	no	—
181	C₄²	—	86	1	no	—
182	C₄²	—	86	1	no	—
183	C₂³	D₄×D₄₃	1	1	yes	characteristic
184	Q₈	—	2	2	no	—
185	Q₈	—	2	2	no	—
186	Q₈	—	4	1	no	—
187	Q₈	—	4	1	no	—
188	Q₈	—	86	2	no	—
189	Q₈	—	86	2	no	—
190	Q₈	—	86	2	no	—
191	Q₈	—	86	2	no	—
192	Q₈	—	172	1	no	—
193	Q₈	—	172	1	no	—
194	Q₈	—	172	1	no	—
195	Q₈	—	172	1	no	—
196	C₂×C₄	—	2	2	no	—
197	C₂×C₄	—	4	1	no	—
198	C₂×C₄	—	4	1	no	—
199	C₂×C₄	—	4	1	no	—
200	C₂×C₄	—	4	2	no	—
201	C₂×C₄	—	43	4	no	—
202	C₂×C₄	—	86	2	no	—
203	C₂×C₄	—	86	2	no	—
204	C₂×C₄	—	86	2	no	—
205	C₂×C₄	—	86	2	no	—
206	C₂×C₄	—	172	1	no	—
207	C₂×C₄	—	172	1	no	—
208	C₂×C₄	—	172	1	no	—
209	C₂×C₄	—	172	1	no	—
210	C₂×C₄	C₂×D₁₇₂	1	1	yes	characteristic
211	C₂×C₄	#10621898	1	1	yes	characteristic
212	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
213	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
214	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
215	C₂×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
216	C₈	—	2	2	no	—
217	C₈	—	86	2	no	—
218	C₂²	#13063295	1	1	yes	characteristic
219	C₂²	#13063298	1	1	yes	characteristic
220	C₂²	#13063321	1	1	yes	characteristic
221	C₂²	Q₁₆×D₄₃	1	2	yes	—
222	C₂²	#13063354	1	2	yes	—
223	C₄	—	4	2	no	—
224	C₄	—	8	1	no	—
225	C₄	—	86	4	no	—
226	C₄	—	172	2	no	—
227	C₄	—	172	2	no	—
228	C₄	#13063293	1	1	yes	characteristic
229	C₄	#13063295	1	1	yes	characteristic
230	C₄	#13063298	1	1	yes	characteristic
231	C₄	#13063299	1	1	yes	characteristic
232	C₂	#14582808	1	1	yes	characteristic
233	C₂	#14583056	1	2	yes	—
234	C₂	#14583108	1	2	yes	—
235	C₂	#14583277	1	1	yes	characteristic
236	C₂	#14583290	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂²×Dic₁₇₂

C₂

yes

maximal, characteristic

C₂²×#10621885

C₂

yes

maximal, characteristic

C₂×#13063323

C₂

yes

maximal, characteristic

C₂×#13063248

C₂

yes

maximal, characteristic

#14582804

C₂

yes

maximal, characteristic

#14582653

C₂

yes

maximal, characteristic

C₂×#103×C₄₃

C₂

yes

maximal, characteristic

C₂²×Dic₈₆

C₂²

yes

characteristic

C₂²×Dic₈₆

C₂²

yes

characteristic

C₂×Dic₁₇₂

—

C₂×Dic₁₇₂

—

C₂×Dic₁₇₂

—

C₂×#10621885

—

C₂×#10621885

—

C₂×#10621885

—

C₂²×C₄₃⋊C₈

C₂²

yes

characteristic

#13063323

—

#13063323

—

C₂×Dic₄₃⋊C₄

—

C₂×C₄×Dic₄₃

C₂²

yes

characteristic

#13063248

—

C₄₃⋊#95

—

C₂²×Q₈×C₄₃

C₂²

yes

characteristic

C₂²×C₈×C₄₃

C₂²

yes

characteristic

C₂×C₄⋊C₄×C₄₃

C₂²

yes

characteristic

#103×C₄₃

—

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

D₄

yes

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

C₂³

yes

characteristic

C₂²×Dic₄₃

—

C₂²×Dic₄₃

—

C₂²×Dic₄₃

D₄

yes

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

D₄

yes

—

C₂×Dic₈₆

D₄

yes

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

D₄

yes

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

—

#10621885

—

Dic₄₃⋊C₄

—

C₄×Dic₄₃

—

C₄×Dic₄₃

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

D₄

yes

—

Dic₁₇₂

—

C₂³×C₄₃

C₂×D₄

yes

characteristic

Q₈×C₄₃

—

Q₈×C₄₃

—

Q₈×C₄₃

—

Q₈×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂×C₄×C₄₃

#41

yes

characteristic

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

Q₁₆

yes

complemented

Dic₈₆

—

Dic₈₆

—

Dic₈₆

—

Dic₈₆

—

Dic₈₆

—

Dic₈₆

—

Dic₈₆

—

Dic₈₆

—

C₈×C₄₃

—

C₄₃⋊C₈

—

C₂²×C₄₃

#120

yes

characteristic

100

C₂²×C₄₃

#121

yes

characteristic

101

C₂²×C₄₃

#127

yes

characteristic

102

C₂²×C₄₃

C₂×Q₁₆

yes

—

103

C₂²×C₄₃

#137

yes

—

104

C₄×C₄₃

—

105

C₄×C₄₃

—

106

C₄×C₄₃

#120

yes

characteristic

107

C₄×C₄₃

#120

yes

characteristic

108

C₄×C₄₃

#121

yes

characteristic

109

C₄×C₄₃

#121

yes

characteristic

110

Dic₄₃

—

111

Dic₄₃

—

112

Dic₄₃

—

113

#2016

—

maximal, Sylow

114

C₂×C₄₃

#392

yes

characteristic

115

C₂×C₄₃

#451

yes

—

116

C₂×C₄₃

#462

yes

—

117

C₂×C₄₃

#494

yes

characteristic

118

C₂×C₄₃

#497

yes

characteristic

119

C₂²×Q₁₆

—

120

C₂²×Q₁₆

—

121

C₂×C₄⋊Q₈

—

122

C₂×#103

—

123

C₂×#103

D₄₃

yes

characteristic

124

#391

—

125

#336

—

126

C₄₃

#2016

yes

characteristic, complemented, Sylow

127

C₂²×Q₈

—

128

C₂²×Q₈

—

129

C₂²×Q₈

C₂×D₄₃

yes

characteristic

130

C₂×Q₁₆

—

131

C₂×Q₁₆

—

132

C₂×Q₁₆

—

133

C₂×Q₁₆

—

134

C₂×Q₁₆

—

135

C₂×Q₁₆

—

136

C₂²×C₈

—

137

C₂²×C₈

C₂×D₄₃

yes

characteristic

138

C₄⋊Q₈

—

139

C₄⋊Q₈

—

140

C₂×C₄⋊C₄

—

141

C₂×C₄⋊C₄

C₂×D₄₃

yes

characteristic

142

C₂×C₄²

—

143

#103

—

144

#103

—

145

#95

—

146

C₂×Q₈

—

147

C₂×Q₈

—

148

C₂×Q₈

—

149

C₂×Q₈

—

150

C₂×Q₈

—

151

C₂×Q₈

—

152

C₂×Q₈

—

153

C₂×Q₈

—

154

C₂×Q₈

—

155

C₂×Q₈

—

156

C₂×Q₈

—

157

C₂×Q₈

—

158

C₂×Q₈

—

159

C₂×Q₈

—

160

C₂×Q₈

—

161

C₂×Q₈

—

162

C₂×Q₈

—

163

C₂×Q₈

D₁₇₂

yes

—

164

C₂²×C₄

—

165

C₂²×C₄

—

166

C₂²×C₄

—

167

C₂²×C₄

—

168

C₂²×C₄

—

169

C₂²×C₄

C₂²×D₄₃

yes

characteristic

170

Q₁₆

—

171

Q₁₆

—

172

C₂×C₈

—

173

C₂×C₈

—

174

C₂×C₈

—

175

C₂×C₈

—

176

C₂×C₈

—

177

C₂×C₈

C₂²⋊D₄₃

yes

—

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₄²

—

182

C₄²

—

183

C₂³

D₄×D₄₃

yes

characteristic

184

Q₈

—

185

Q₈

—

186

Q₈

—

187

Q₈

—

188

Q₈

—

189

Q₈

—

190

Q₈

—

191

Q₈

—

192

Q₈

—

172

—

193

Q₈

—

172

—

194

Q₈

—

172

—

195

Q₈

—

172

—

196

C₂×C₄

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

—

172

—

207

C₂×C₄

—

172

—

208

C₂×C₄

—

172

—

209

C₂×C₄

—

172

—

210

C₂×C₄

C₂×D₁₇₂

yes

characteristic

211

C₂×C₄

#10621898

yes

characteristic

212

C₂×C₄

D₄×D₄₃

yes

characteristic

213

C₂×C₄

D₄×D₄₃

yes

characteristic

214

C₂×C₄

D₄×D₄₃

yes

characteristic

215

C₂×C₄

C₂×C₂²⋊D₄₃

yes

characteristic

216

C₈

—

217

C₈

—

218

C₂²

#13063295

yes

characteristic

219

C₂²

#13063298

yes

characteristic

220

C₂²

#13063321

yes

characteristic

221

C₂²

Q₁₆×D₄₃

yes

—

222

C₂²

#13063354

yes

—

223

C₄

—

224

C₄

—

225

C₄

—

226

C₄

—

172

—

227

C₄

—

172

—

228

C₄

#13063293

yes

characteristic

229

C₄

#13063295

yes

characteristic

230

C₄

#13063298

yes

characteristic

231

C₄

#13063299

yes

characteristic

232

C₂

#14582808

yes

characteristic

233

C₂

#14583056

yes

—

234

C₂

#14583108

yes

—

235

C₂

#14583277

yes

characteristic

236

C₂

#14583290

yes

characteristic

	subgroup	G/H
center	C₂³	D₄×D₄₃
commutator	C₂²×C₄×C₄₃	C₂³
Frattini	C₂²×C₄	C₂²×D₄₃
Fitting	C₂×#103×C₄₃	C₂
socle	C₂³×C₄₃	C₂×D₄
hypercenter	C₂×#103	D₄₃
hypocenter	C₄₃	#2016
LCS	G ▷ C₂²×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂×#103

subgroup

G/H

center

C₂³

D₄×D₄₃

commutator

C₂²×C₄×C₄₃

C₂³

Frattini

C₂²×C₄

C₂²×D₄₃

Fitting

C₂×#103×C₄₃

C₂

socle

C₂³×C₄₃

C₂×D₄

D₄₃

C₄₃

G ▷ C₂²×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂×#103

N	H ≅ G/N	type
88. C₂×Dic₄₃	Q₁₆	semidirect
126. C₄₃	#2016	semidirect

H ≅ G/N

type

88. C₂×Dic₄₃

Q₁₆

semidirect

126. C₄₃

#2016

semidirect

Subgroups — #19135696

Conjugacy classes of subgroups

Complements