Group #19147520 — subgroups

Subgroups — #19147520

Order 5504.

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

normal subgroups only

This group has 360 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	#14583624	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×Dic₈₆	C₂	1	1	yes	maximal, characteristic
3	#14583307	C₂	1	2	yes	maximal, complemented
4	#14583302	C₂	1	1	yes	maximal, characteristic, complemented
5	#14583201	C₂	1	2	yes	maximal
6	#14583193	C₂	1	2	yes	maximal, complemented
7	#14583185	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583026	C₂	1	1	yes	maximal, characteristic, complemented
9	#14582996	C₂	1	2	yes	maximal
10	C₄×#10621883	C₂	1	1	yes	maximal, characteristic
11	C₄₃×#474	C₂	1	1	yes	maximal, characteristic
12	C₂²×Dic₈₆	—	2	1	no	—
13	C₂×#10621883	C₂²	1	1	yes	characteristic
14	#13063325	C₂²	1	1	yes	characteristic
15	#13063324	C₂²	1	2	yes	—
16	#13063323	—	2	1	no	—
17	#13063316	C₂²	1	2	yes	—
18	#13063315	—	2	2	no	—
19	#13063304	—	2	1	no	—
20	#13063302	—	2	2	no	—
21	Q₈×Dic₄₃	—	2	1	no	—
22	C₄×Dic₈₆	C₂²	1	1	yes	characteristic
23	C₄×Dic₈₆	C₂²	1	1	yes	characteristic
24	#13063290	C₂²	1	2	yes	—
25	D₄×Dic₄₃	C₂²	1	2	yes	—
26	#13063258	C₂²	1	2	yes	—
27	#13063258	C₂²	1	2	yes	—
28	#13063257	C₂²	1	2	yes	—
29	#13063256	C₂²	1	1	yes	characteristic
30	Dic₄₃⋊C₈	C₂²	1	2	yes	—
31	#13063250	C₂²	1	2	yes	—
32	#13063248	C₂²	1	1	yes	characteristic
33	#13063246	C₂²	1	1	yes	characteristic
34	#13063235	C₂²	1	2	yes	—
35	C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
36	C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
37	C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
38	#107×C₄₃	C₂²	1	2	yes	—
39	C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
40	#102×C₄₃	C₂²	1	2	yes	—
41	C₂×Q₈×C₄₃	—	2	1	no	—
42	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
43	C₂²×C₄×C₄₃	—	2	1	no	—
44	C₂²×Dic₄₃	—	2	2	no	—
45	C₂×Dic₈₆	—	2	1	no	—
46	C₂×Dic₈₆	—	2	2	no	—
47	C₂×Dic₈₆	—	4	4	no	—
48	C₂×Dic₈₆	D₄	1	1	yes	characteristic
49	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
50	C₂×C₈×C₄₃	C₂³	1	2	yes	—
51	C₄⋊C₄×C₄₃	—	2	1	no	—
52	C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
53	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
54	C₂²⋊C₄×C₄₃	—	2	1	no	—
55	C₄²×C₄₃	C₂³	1	1	yes	characteristic
56	C₂²⋊Dic₄₃	—	2	2	no	—
57	#10621883	Q₈	1	4	yes	complemented
58	C₄⋊Dic₄₃	—	2	1	no	—
59	C₄⋊Dic₄₃	—	2	2	no	—
60	C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
61	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
62	C₄⋊Dic₄₃	C₂³	1	2	yes	—
63	Dic₄₃⋊C₄	—	2	1	no	—
64	Dic₄₃⋊C₄	—	2	2	no	—
65	Dic₄₃⋊C₄	—	2	2	no	—
66	Dic₄₃⋊C₄	—	2	2	no	—
67	Dic₄₃⋊C₄	D₄	1	2	yes	—
68	C₄×Dic₄₃	—	2	1	no	—
69	C₄×Dic₄₃	—	2	2	no	—
70	C₄×Dic₄₃	C₂³	1	2	yes	—
71	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
72	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
73	C₂³×C₄₃	—	2	1	no	—
74	Q₈×C₄₃	—	4	2	no	—
75	D₄×C₄₃	—	2	1	no	—
76	D₄×C₄₃	C₂×Q₈	1	2	yes	—
77	C₂×C₄×C₄₃	—	2	2	no	—
78	C₂×C₄×C₄₃	—	2	1	no	—
79	C₂×C₄×C₄₃	—	4	2	no	—
80	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
81	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
82	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
83	C₂×Dic₄₃	—	2	1	no	—
84	C₂×Dic₄₃	—	2	1	no	—
85	C₂×Dic₄₃	—	2	2	no	—
86	C₂×Dic₄₃	—	4	4	no	—
87	C₂×Dic₄₃	C₂×D₄	1	2	yes	—
88	C₂×Dic₄₃	C₂×D₄	1	2	yes	—
89	Dic₈₆	—	2	2	no	—
90	Dic₈₆	—	2	1	no	—
91	Dic₈₆	—	4	4	no	—
92	Dic₈₆	—	4	2	no	—
93	Dic₈₆	C₂×Q₈	1	2	yes	complemented
94	C₈×C₄₃	—	2	2	no	—
95	C₄₃⋊C₈	—	2	1	no	—
96	C₄₃⋊C₈	C₂×Q₈	1	2	yes	complemented
97	C₂²×C₄₃	—	2	2	no	—
98	C₂²×C₄₃	—	4	1	no	—
99	C₂²×C₄₃	—	4	1	no	—
100	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
101	C₄×C₄₃	—	2	1	no	—
102	C₄×C₄₃	—	4	1	no	—
103	C₄×C₄₃	—	4	2	no	—
104	C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
105	C₄×C₄₃	C₂²×Q₈	1	1	yes	characteristic
106	C₄×C₄₃	2₋¹⁺⁴	1	1	yes	characteristic
107	Dic₄₃	—	2	2	no	—
108	Dic₄₃	—	2	2	no	—
109	Dic₄₃	—	2	2	no	—
110	Dic₄₃	—	4	2	no	—
111	Dic₄₃	—	4	1	no	—
112	#3386	—	43	1	no	maximal, Sylow
113	C₂×C₄₃	—	4	2	no	—
114	C₂×C₄₃	D₄×Q₈	1	1	yes	characteristic
115	C₂×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
116	C₂×C₄₃	#578	1	1	yes	characteristic
117	#557	—	43	1	no	—
118	D₄×Q₈	—	43	1	no	—
119	#501	—	43	2	no	—
120	#500	—	43	1	no	—
121	#478	—	43	2	no	—
122	#477	—	43	2	no	—
123	#475	—	43	1	no	—
124	#474	D₄₃	1	1	yes	characteristic
125	#446	—	43	1	no	—
126	#440	—	43	2	no	—
127	C₄×SD₁₆	—	43	1	no	—
128	C₄₃	#3386	1	1	yes	characteristic, complemented, Sylow
129	C₂²×Q₈	—	86	1	no	—
130	C₂×SD₁₆	—	43	1	no	—
131	C₄⋊Q₈	—	43	2	no	—
132	C₄⋊Q₈	—	43	1	no	—
133	C₄⋊Q₈	—	86	1	no	—
134	C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
135	#125	—	43	2	no	—
136	#125	—	86	2	no	—
137	C₂²⋊Q₈	—	86	2	no	—
138	C₂²⋊Q₈	—	86	1	no	—
139	C₄×Q₈	—	43	1	no	—
140	C₄×Q₈	—	43	2	no	—
141	C₄×Q₈	—	43	1	no	—
142	C₄×Q₈	—	86	1	no	—
143	C₄×D₄	—	43	2	no	—
144	C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
145	#107	—	43	2	no	—
146	#107	—	43	2	no	—
147	#107	C₂×D₄₃	1	2	yes	—
148	#106	—	43	2	no	—
149	#106	—	43	1	no	—
150	C₄⋊C₈	—	43	2	no	—
151	C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
152	#103	—	43	2	no	—
153	#103	—	43	1	no	—
154	#102	—	43	1	no	—
155	#102	C₂×D₄₃	1	2	yes	—
156	#97	—	43	2	no	—
157	C₄×C₈	—	43	1	no	—
158	C₂×Q₈	—	2	1	no	—
159	C₂×Q₈	—	43	1	no	—
160	C₂×Q₈	—	43	1	no	—
161	C₂×Q₈	—	86	2	no	—
162	C₂×Q₈	—	86	1	no	—
163	C₂×Q₈	—	172	4	no	—
164	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
165	C₂²×C₄	—	2	1	no	—
166	C₂²×C₄	—	86	2	no	—
167	SD₁₆	—	43	4	no	—
168	C₂×C₈	—	43	1	no	—
169	C₂×C₈	—	43	1	no	—
170	C₂×C₈	C₂²×D₄₃	1	2	yes	—
171	C₄⋊C₄	—	2	1	no	—
172	C₄⋊C₄	—	43	1	no	—
173	C₄⋊C₄	—	43	2	no	—
174	C₄⋊C₄	—	43	1	no	—
175	C₄⋊C₄	—	43	2	no	—
176	C₄⋊C₄	—	86	2	no	—
177	C₄⋊C₄	—	86	2	no	—
178	C₄⋊C₄	—	86	2	no	—
179	C₄⋊C₄	—	86	2	no	—
180	C₄⋊C₄	—	86	1	no	—
181	C₄⋊C₄	—	86	1	no	—
182	C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
183	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
184	C₂²⋊C₄	—	2	1	no	—
185	C₂²⋊C₄	—	86	2	no	—
186	C₄²	—	43	2	no	—
187	C₄²	—	86	2	no	—
188	C₄²	—	86	1	no	—
189	C₄²	C₂²×D₄₃	1	1	yes	characteristic
190	C₂³	—	2	1	no	—
191	Q₈	—	4	2	no	—
192	Q₈	—	43	2	no	—
193	Q₈	—	86	2	no	—
194	Q₈	—	86	1	no	—
195	Q₈	—	172	4	no	—
196	Q₈	—	172	2	no	—
197	D₄	—	2	1	no	—
198	D₄	Q₈×D₄₃	1	2	yes	—
199	C₂×C₄	—	2	2	no	—
200	C₂×C₄	—	2	1	no	—
201	C₂×C₄	—	4	2	no	—
202	C₂×C₄	—	43	2	no	—
203	C₂×C₄	—	43	2	no	—
204	C₂×C₄	—	86	1	no	—
205	C₂×C₄	—	86	1	no	—
206	C₂×C₄	—	86	2	no	—
207	C₂×C₄	—	172	4	no	—
208	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
209	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
210	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
211	C₈	—	2	2	no	—
212	C₈	—	43	2	no	—
213	C₈	—	86	1	no	—
214	C₂²	—	2	2	no	—
215	C₂²	—	4	1	no	—
216	C₂²	—	4	1	no	—
217	C₂²	C₂×D₄×D₄₃	1	1	yes	characteristic
218	C₄	—	2	1	no	—
219	C₄	—	4	1	no	—
220	C₄	—	4	2	no	—
221	C₄	—	86	2	no	—
222	C₄	—	86	2	no	—
223	C₄	—	86	2	no	—
224	C₄	—	172	2	no	—
225	C₄	—	172	1	no	—
226	C₄	#13063349	1	2	yes	—
227	C₄	C₂×Q₈×D₄₃	1	1	yes	characteristic
228	C₄	#13063372	1	1	yes	characteristic
229	C₂	—	4	2	no	—
230	C₂	#14583562	1	1	yes	characteristic
231	C₂	C₂×#13063349	1	1	yes	characteristic
232	C₂	#14583715	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14583624

C₂

yes

maximal, characteristic, complemented

D₄×Dic₈₆

C₂

yes

maximal, characteristic

#14583307

C₂

yes

maximal, complemented

#14583302

C₂

yes

maximal, characteristic, complemented

#14583201

C₂

yes

maximal

#14583193

C₂

yes

maximal, complemented

#14583185

C₂

yes

maximal, characteristic, complemented

#14583026

C₂

yes

maximal, characteristic, complemented

#14582996

C₂

yes

maximal

C₄×#10621883

C₂

yes

maximal, characteristic

C₄₃×#474

C₂

yes

maximal, characteristic

C₂²×Dic₈₆

—

C₂×#10621883

C₂²

yes

characteristic

#13063325

C₂²

yes

characteristic

#13063324

C₂²

yes

—

#13063323

—

#13063316

C₂²

yes

—

#13063315

—

#13063304

—

#13063302

—

Q₈×Dic₄₃

—

C₄×Dic₈₆

C₂²

yes

characteristic

C₄×Dic₈₆

C₂²

yes

characteristic

#13063290

C₂²

yes

—

D₄×Dic₄₃

C₂²

yes

—

#13063258

C₂²

yes

—

#13063258

C₂²

yes

—

#13063257

C₂²

yes

—

#13063256

C₂²

yes

characteristic

Dic₄₃⋊C₈

C₂²

yes

—

#13063250

C₂²

yes

—

#13063248

C₂²

yes

characteristic

#13063246

C₂²

yes

characteristic

#13063235

C₂²

yes

—

C₄×C₄₃⋊C₈

C₂²

yes

characteristic

C₄⋊Q₈×C₄₃

C₂²

yes

characteristic

C₄×D₄×C₄₃

C₂²

yes

characteristic

#107×C₄₃

C₂²

yes

—

C₄⋊C₈×C₄₃

C₂²

yes

characteristic

#102×C₄₃

C₂²

yes

—

C₂×Q₈×C₄₃

—

C₂×D₄×C₄₃

C₂³

yes

characteristic

C₂²×C₄×C₄₃

—

C₂²×Dic₄₃

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

D₄

yes

characteristic

C₂×Dic₈₆

C₂³

yes

characteristic

C₂×C₈×C₄₃

C₂³

yes

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

C₂³

yes

—

C₄⋊C₄×C₄₃

C₂³

yes

characteristic

C₂²⋊C₄×C₄₃

—

C₄²×C₄₃

C₂³

yes

characteristic

C₂²⋊Dic₄₃

—

#10621883

Q₈

yes

complemented

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

D₄

yes

characteristic

C₄⋊Dic₄₃

C₂³

yes

characteristic

C₄⋊Dic₄₃

C₂³

yes

—

Dic₄₃⋊C₄

—

Dic₄₃⋊C₄

—

Dic₄₃⋊C₄

—

Dic₄₃⋊C₄

—

Dic₄₃⋊C₄

D₄

yes

—

C₄×Dic₄₃

—

C₄×Dic₄₃

—

C₄×Dic₄₃

C₂³

yes

—

C₂×C₄₃⋊C₈

C₂³

yes

characteristic

C₂×C₄₃⋊C₈

C₂³

yes

characteristic

C₂³×C₄₃

—

Q₈×C₄₃

—

D₄×C₄₃

—

D₄×C₄₃

C₂×Q₈

yes

—

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

C₂⁴

yes

characteristic

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

C₂×D₄

yes

—

C₂×Dic₄₃

C₂×D₄

yes

—

Dic₈₆

—

Dic₈₆

—

Dic₈₆

—

Dic₈₆

—

Dic₈₆

C₂×Q₈

yes

complemented

C₈×C₄₃

—

C₄₃⋊C₈

—

C₄₃⋊C₈

C₂×Q₈

yes

complemented

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

100

C₂²×C₄₃

C₂²×D₄

yes

characteristic

101

C₄×C₄₃

—

102

C₄×C₄₃

—

103

C₄×C₄₃

—

104

C₄×C₄₃

AGL(1,ℤ/8)

yes

—

105

C₄×C₄₃

C₂²×Q₈

yes

characteristic

106

C₄×C₄₃

2₋¹⁺⁴

yes

characteristic

107

Dic₄₃

—

108

Dic₄₃

—

109

Dic₄₃

—

110

Dic₄₃

—

111

Dic₄₃

—

112

#3386

—

maximal, Sylow

113

C₂×C₄₃

—

114

C₂×C₄₃

D₄×Q₈

yes

characteristic

115

C₂×C₄₃

C₂×AGL(1,ℤ/8)

yes

characteristic

116

C₂×C₄₃

#578

yes

characteristic

117

#557

—

118

D₄×Q₈

—

119

#501

—

120

#500

—

121

#478

—

122

#477

—

123

#475

—

124

#474

D₄₃

yes

characteristic

125

#446

—

126

#440

—

127

C₄×SD₁₆

—

128

C₄₃

#3386

yes

characteristic, complemented, Sylow

129

C₂²×Q₈

—

130

C₂×SD₁₆

—

131

C₄⋊Q₈

—

132

C₄⋊Q₈

—

133

C₄⋊Q₈

—

134

C₄⋊Q₈

C₂×D₄₃

yes

characteristic

135

#125

—

136

#125

—

137

C₂²⋊Q₈

—

138

C₂²⋊Q₈

—

139

C₄×Q₈

—

140

C₄×Q₈

—

141

C₄×Q₈

—

142

C₄×Q₈

—

143

C₄×D₄

—

144

C₄×D₄

C₂×D₄₃

yes

characteristic

145

#107

—

146

#107

—

147

#107

C₂×D₄₃

yes

—

148

#106

—

149

#106

—

150

C₄⋊C₈

—

151

C₄⋊C₈

C₂×D₄₃

yes

characteristic

152

#103

—

153

#103

—

154

#102

—

155

#102

C₂×D₄₃

yes

—

156

#97

—

157

C₄×C₈

—

158

C₂×Q₈

—

159

C₂×Q₈

—

160

C₂×Q₈

—

161

C₂×Q₈

—

162

C₂×Q₈

—

163

C₂×Q₈

—

172

—

164

C₂×D₄

C₂²×D₄₃

yes

characteristic

165

C₂²×C₄

—

166

C₂²×C₄

—

167

SD₁₆

—

168

C₂×C₈

—

169

C₂×C₈

—

170

C₂×C₈

C₂²×D₄₃

yes

—

171

C₄⋊C₄

—

172

C₄⋊C₄

—

173

C₄⋊C₄

—

174

C₄⋊C₄

—

175

C₄⋊C₄

—

176

C₄⋊C₄

—

177

C₄⋊C₄

—

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₄⋊C₄

—

182

C₄⋊C₄

C₂²×D₄₃

yes

—

183

C₄⋊C₄

C₂²×D₄₃

yes

characteristic

184

C₂²⋊C₄

—

185

C₂²⋊C₄

—

186

C₄²

—

187

C₄²

—

188

C₄²

—

189

C₄²

C₂²×D₄₃

yes

characteristic

190

C₂³

—

191

Q₈

—

192

Q₈

—

193

Q₈

—

194

Q₈

—

195

Q₈

—

172

—

196

Q₈

—

172

—

197

D₄

—

198

D₄

Q₈×D₄₃

yes

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

—

207

C₂×C₄

—

172

—

208

C₂×C₄

D₄×D₄₃

yes

characteristic

209

C₂×C₄

D₄×D₄₃

yes

characteristic

210

C₂×C₄

C₂³×D₄₃

yes

characteristic

211

C₈

—

212

C₈

—

213

C₈

—

214

C₂²

—

215

C₂²

—

216

C₂²

—

217

C₂²

C₂×D₄×D₄₃

yes

characteristic

218

C₄

—

219

C₄

—

220

C₄

—

221

C₄

—

222

C₄

—

223

C₄

—

224

C₄

—

172

—

225

C₄

—

172

—

226

C₄

#13063349

yes

—

227

C₄

C₂×Q₈×D₄₃

yes

characteristic

228

C₄

#13063372

yes

characteristic

229

C₂

—

230

C₂

#14583562

yes

characteristic

231

C₂

C₂×#13063349

yes

characteristic

232

C₂

#14583715

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₃
Fitting	C₄₃×#474	C₂
socle	C₂²×C₄₃	C₂²×D₄
hypercenter	#474	D₄₃
hypocenter	C₄₃	#3386
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #474

subgroup

G/H

center

C₂²

C₂×D₄×D₄₃

commutator

C₂×C₄×C₄₃

C₂⁴

Frattini

C₂×C₄

C₂³×D₄₃

Fitting

C₄₃×#474

C₂

socle

C₂²×C₄₃

C₂²×D₄

D₄₃

C₄₃

G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #474

N	H ≅ G/N	type
1. #14583624	C₂	semidirect
3. #14583307	C₂	semidirect
4. #14583302	C₂	semidirect
6. #14583193	C₂	semidirect
7. #14583185	C₂	semidirect
8. #14583026	C₂	semidirect
57. #10621883	Q₈	semidirect
93. Dic₈₆	C₂×Q₈	semidirect
96. C₄₃⋊C₈	C₂×Q₈	semidirect
128. C₄₃	#3386	semidirect

H ≅ G/N

type

1. #14583624

C₂

semidirect

3. #14583307

C₂

semidirect

4. #14583302

C₂

semidirect

6. #14583193

C₂

semidirect

7. #14583185

C₂

semidirect

8. #14583026

C₂

semidirect

57. #10621883

Q₈

semidirect

93. Dic₈₆

C₂×Q₈

semidirect

96. C₄₃⋊C₈

C₂×Q₈

semidirect

128. C₄₃

#3386

semidirect

Subgroups — #19147520

Conjugacy classes of subgroups

Complements