Group #20256313 — subgroups

Subgroups — #20256313

Order 6016.

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	#15689848	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×Dic₉₄	C₂	1	1	yes	maximal, characteristic
3	#15689531	C₂	1	2	yes	maximal, complemented
4	#15689526	C₂	1	1	yes	maximal, characteristic, complemented
5	#15689425	C₂	1	2	yes	maximal
6	#15689417	C₂	1	2	yes	maximal, complemented
7	#15689409	C₂	1	1	yes	maximal, characteristic, complemented
8	#15689250	C₂	1	1	yes	maximal, characteristic, complemented
9	#15689220	C₂	1	2	yes	maximal
10	C₄×#10625335	C₂	1	1	yes	maximal, characteristic
11	C₄₇×#474	C₂	1	1	yes	maximal, characteristic
12	C₂²×Dic₉₄	—	2	1	no	—
13	C₂×#10625335	C₂²	1	1	yes	characteristic
14	#13094024	C₂²	1	1	yes	characteristic
15	#13094023	C₂²	1	2	yes	—
16	#13094022	—	2	1	no	—
17	#13094015	C₂²	1	2	yes	—
18	#13094014	—	2	2	no	—
19	#13094003	—	2	1	no	—
20	#13094001	—	2	2	no	—
21	Q₈×Dic₄₇	—	2	1	no	—
22	C₄×Dic₉₄	C₂²	1	1	yes	characteristic
23	C₄×Dic₉₄	C₂²	1	1	yes	characteristic
24	#13093989	C₂²	1	2	yes	—
25	D₄×Dic₄₇	C₂²	1	2	yes	—
26	#13093957	C₂²	1	2	yes	—
27	#13093957	C₂²	1	2	yes	—
28	#13093956	C₂²	1	2	yes	—
29	#13093955	C₂²	1	1	yes	characteristic
30	Dic₄₇⋊C₈	C₂²	1	2	yes	—
31	#13093949	C₂²	1	2	yes	—
32	#13093947	C₂²	1	1	yes	characteristic
33	#13093945	C₂²	1	1	yes	characteristic
34	#13093934	C₂²	1	2	yes	—
35	C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
36	C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
37	C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
38	#107×C₄₇	C₂²	1	2	yes	—
39	C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
40	#102×C₄₇	C₂²	1	2	yes	—
41	C₂×Q₈×C₄₇	—	2	1	no	—
42	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
43	C₂²×C₄×C₄₇	—	2	1	no	—
44	C₂²×Dic₄₇	—	2	2	no	—
45	C₂×Dic₉₄	—	2	1	no	—
46	C₂×Dic₉₄	—	2	2	no	—
47	C₂×Dic₉₄	—	4	4	no	—
48	C₂×Dic₉₄	D₄	1	1	yes	characteristic
49	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
50	C₂×C₈×C₄₇	C₂³	1	2	yes	—
51	C₄⋊C₄×C₄₇	—	2	1	no	—
52	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
53	C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
54	C₂²⋊C₄×C₄₇	—	2	1	no	—
55	C₄²×C₄₇	C₂³	1	1	yes	characteristic
56	C₂²⋊Dic₄₇	—	2	2	no	—
57	#10625335	Q₈	1	4	yes	complemented
58	C₄⋊Dic₄₇	—	2	1	no	—
59	C₄⋊Dic₄₇	—	2	2	no	—
60	C₄⋊Dic₄₇	D₄	1	1	yes	characteristic
61	C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
62	C₄⋊Dic₄₇	C₂³	1	2	yes	—
63	Dic₄₇⋊C₄	—	2	1	no	—
64	Dic₄₇⋊C₄	—	2	2	no	—
65	Dic₄₇⋊C₄	—	2	2	no	—
66	Dic₄₇⋊C₄	—	2	2	no	—
67	Dic₄₇⋊C₄	D₄	1	2	yes	—
68	C₄×Dic₄₇	—	2	1	no	—
69	C₄×Dic₄₇	—	2	2	no	—
70	C₄×Dic₄₇	C₂³	1	2	yes	—
71	C₂×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
72	C₂×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
73	C₂³×C₄₇	—	2	1	no	—
74	Q₈×C₄₇	—	4	2	no	—
75	D₄×C₄₇	—	2	1	no	—
76	D₄×C₄₇	C₂×Q₈	1	2	yes	—
77	C₂×C₄×C₄₇	—	2	2	no	—
78	C₂×C₄×C₄₇	—	2	1	no	—
79	C₂×C₄×C₄₇	—	4	2	no	—
80	C₂×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
81	C₂×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
82	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
83	C₂×Dic₄₇	—	2	1	no	—
84	C₂×Dic₄₇	—	2	1	no	—
85	C₂×Dic₄₇	—	2	2	no	—
86	C₂×Dic₄₇	—	4	4	no	—
87	C₂×Dic₄₇	C₂×D₄	1	2	yes	—
88	C₂×Dic₄₇	C₂×D₄	1	2	yes	—
89	Dic₉₄	—	2	2	no	—
90	Dic₉₄	—	2	1	no	—
91	Dic₉₄	—	4	4	no	—
92	Dic₉₄	—	4	2	no	—
93	Dic₉₄	C₂×Q₈	1	2	yes	complemented
94	C₈×C₄₇	—	2	2	no	—
95	C₄₇⋊C₈	—	2	1	no	—
96	C₄₇⋊C₈	C₂×Q₈	1	2	yes	complemented
97	C₂²×C₄₇	—	2	2	no	—
98	C₂²×C₄₇	—	4	1	no	—
99	C₂²×C₄₇	—	4	1	no	—
100	C₂²×C₄₇	C₂²×D₄	1	1	yes	characteristic
101	C₄×C₄₇	—	2	1	no	—
102	C₄×C₄₇	—	4	1	no	—
103	C₄×C₄₇	—	4	2	no	—
104	C₄×C₄₇	AGL(1,ℤ/8)	1	2	yes	—
105	C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
106	C₄×C₄₇	2₋¹⁺⁴	1	1	yes	characteristic
107	Dic₄₇	—	2	2	no	—
108	Dic₄₇	—	2	2	no	—
109	Dic₄₇	—	2	2	no	—
110	Dic₄₇	—	4	2	no	—
111	Dic₄₇	—	4	1	no	—
112	#3386	—	47	1	no	maximal, Sylow
113	C₂×C₄₇	—	4	2	no	—
114	C₂×C₄₇	D₄×Q₈	1	1	yes	characteristic
115	C₂×C₄₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
116	C₂×C₄₇	#578	1	1	yes	characteristic
117	#557	—	47	1	no	—
118	D₄×Q₈	—	47	1	no	—
119	#501	—	47	2	no	—
120	#500	—	47	1	no	—
121	#478	—	47	2	no	—
122	#477	—	47	2	no	—
123	#475	—	47	1	no	—
124	#474	D₄₇	1	1	yes	characteristic
125	#446	—	47	1	no	—
126	#440	—	47	2	no	—
127	C₄×SD₁₆	—	47	1	no	—
128	C₄₇	#3386	1	1	yes	characteristic, complemented, Sylow
129	C₂²×Q₈	—	94	1	no	—
130	C₂×SD₁₆	—	47	1	no	—
131	C₄⋊Q₈	—	47	2	no	—
132	C₄⋊Q₈	—	47	1	no	—
133	C₄⋊Q₈	—	94	1	no	—
134	C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
135	#125	—	47	2	no	—
136	#125	—	94	2	no	—
137	C₂²⋊Q₈	—	94	2	no	—
138	C₂²⋊Q₈	—	94	1	no	—
139	C₄×Q₈	—	47	1	no	—
140	C₄×Q₈	—	47	2	no	—
141	C₄×Q₈	—	47	1	no	—
142	C₄×Q₈	—	94	1	no	—
143	C₄×D₄	—	47	2	no	—
144	C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
145	#107	—	47	2	no	—
146	#107	—	47	2	no	—
147	#107	C₂×D₄₇	1	2	yes	—
148	#106	—	47	2	no	—
149	#106	—	47	1	no	—
150	C₄⋊C₈	—	47	2	no	—
151	C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
152	#103	—	47	2	no	—
153	#103	—	47	1	no	—
154	#102	—	47	1	no	—
155	#102	C₂×D₄₇	1	2	yes	—
156	#97	—	47	2	no	—
157	C₄×C₈	—	47	1	no	—
158	C₂×Q₈	—	2	1	no	—
159	C₂×Q₈	—	47	1	no	—
160	C₂×Q₈	—	47	1	no	—
161	C₂×Q₈	—	94	2	no	—
162	C₂×Q₈	—	94	1	no	—
163	C₂×Q₈	—	188	4	no	—
164	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
165	C₂²×C₄	—	2	1	no	—
166	C₂²×C₄	—	94	2	no	—
167	SD₁₆	—	47	4	no	—
168	C₂×C₈	—	47	1	no	—
169	C₂×C₈	—	47	1	no	—
170	C₂×C₈	C₂²×D₄₇	1	2	yes	—
171	C₄⋊C₄	—	2	1	no	—
172	C₄⋊C₄	—	47	2	no	—
173	C₄⋊C₄	—	47	1	no	—
174	C₄⋊C₄	—	47	1	no	—
175	C₄⋊C₄	—	47	2	no	—
176	C₄⋊C₄	—	94	2	no	—
177	C₄⋊C₄	—	94	2	no	—
178	C₄⋊C₄	—	94	2	no	—
179	C₄⋊C₄	—	94	2	no	—
180	C₄⋊C₄	—	94	1	no	—
181	C₄⋊C₄	—	94	1	no	—
182	C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
183	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
184	C₂²⋊C₄	—	2	1	no	—
185	C₂²⋊C₄	—	94	2	no	—
186	C₄²	—	47	2	no	—
187	C₄²	—	94	2	no	—
188	C₄²	—	94	1	no	—
189	C₄²	C₂²×D₄₇	1	1	yes	characteristic
190	C₂³	—	2	1	no	—
191	Q₈	—	4	2	no	—
192	Q₈	—	47	2	no	—
193	Q₈	—	94	2	no	—
194	Q₈	—	94	1	no	—
195	Q₈	—	188	4	no	—
196	Q₈	—	188	2	no	—
197	D₄	—	2	1	no	—
198	D₄	Q₈×D₄₇	1	2	yes	—
199	C₂×C₄	—	2	2	no	—
200	C₂×C₄	—	2	1	no	—
201	C₂×C₄	—	4	2	no	—
202	C₂×C₄	—	47	2	no	—
203	C₂×C₄	—	47	2	no	—
204	C₂×C₄	—	94	1	no	—
205	C₂×C₄	—	94	1	no	—
206	C₂×C₄	—	94	2	no	—
207	C₂×C₄	—	188	4	no	—
208	C₂×C₄	D₄×D₄₇	1	1	yes	characteristic
209	C₂×C₄	D₄×D₄₇	1	1	yes	characteristic
210	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
211	C₈	—	2	2	no	—
212	C₈	—	47	2	no	—
213	C₈	—	94	1	no	—
214	C₂²	—	2	2	no	—
215	C₂²	—	4	1	no	—
216	C₂²	—	4	1	no	—
217	C₂²	C₂×D₄×D₄₇	1	1	yes	characteristic
218	C₄	—	2	1	no	—
219	C₄	—	4	1	no	—
220	C₄	—	4	2	no	—
221	C₄	—	94	2	no	—
222	C₄	—	94	2	no	—
223	C₄	—	94	2	no	—
224	C₄	—	188	2	no	—
225	C₄	—	188	1	no	—
226	C₄	#13094048	1	2	yes	—
227	C₄	C₂×Q₈×D₄₇	1	1	yes	characteristic
228	C₄	#13094071	1	1	yes	characteristic
229	C₂	—	4	2	no	—
230	C₂	#15689786	1	1	yes	characteristic
231	C₂	C₂×#13094048	1	1	yes	characteristic
232	C₂	#15689939	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#15689848

C₂

yes

maximal, characteristic, complemented

D₄×Dic₉₄

C₂

yes

maximal, characteristic

#15689531

C₂

yes

maximal, complemented

#15689526

C₂

yes

maximal, characteristic, complemented

#15689425

C₂

yes

maximal

#15689417

C₂

yes

maximal, complemented

#15689409

C₂

yes

maximal, characteristic, complemented

#15689250

C₂

yes

maximal, characteristic, complemented

#15689220

C₂

yes

maximal

C₄×#10625335

C₂

yes

maximal, characteristic

C₄₇×#474

C₂

yes

maximal, characteristic

C₂²×Dic₉₄

—

C₂×#10625335

C₂²

yes

characteristic

#13094024

C₂²

yes

characteristic

#13094023

C₂²

yes

—

#13094022

—

#13094015

C₂²

yes

—

#13094014

—

#13094003

—

#13094001

—

Q₈×Dic₄₇

—

C₄×Dic₉₄

C₂²

yes

characteristic

C₄×Dic₉₄

C₂²

yes

characteristic

#13093989

C₂²

yes

—

D₄×Dic₄₇

C₂²

yes

—

#13093957

C₂²

yes

—

#13093957

C₂²

yes

—

#13093956

C₂²

yes

—

#13093955

C₂²

yes

characteristic

Dic₄₇⋊C₈

C₂²

yes

—

#13093949

C₂²

yes

—

#13093947

C₂²

yes

characteristic

#13093945

C₂²

yes

characteristic

#13093934

C₂²

yes

—

C₄×C₄₇⋊C₈

C₂²

yes

characteristic

C₄⋊Q₈×C₄₇

C₂²

yes

characteristic

C₄×D₄×C₄₇

C₂²

yes

characteristic

#107×C₄₇

C₂²

yes

—

C₄⋊C₈×C₄₇

C₂²

yes

characteristic

#102×C₄₇

C₂²

yes

—

C₂×Q₈×C₄₇

—

C₂×D₄×C₄₇

C₂³

yes

characteristic

C₂²×C₄×C₄₇

—

C₂²×Dic₄₇

—

C₂×Dic₉₄

—

C₂×Dic₉₄

—

C₂×Dic₉₄

—

C₂×Dic₉₄

D₄

yes

characteristic

C₂×Dic₉₄

C₂³

yes

characteristic

C₂×C₈×C₄₇

C₂³

yes

—

C₄⋊C₄×C₄₇

—

C₄⋊C₄×C₄₇

C₂³

yes

characteristic

C₄⋊C₄×C₄₇

C₂³

yes

—

C₂²⋊C₄×C₄₇

—

C₄²×C₄₇

C₂³

yes

characteristic

C₂²⋊Dic₄₇

—

#10625335

Q₈

yes

complemented

C₄⋊Dic₄₇

—

C₄⋊Dic₄₇

—

C₄⋊Dic₄₇

D₄

yes

characteristic

C₄⋊Dic₄₇

C₂³

yes

characteristic

C₄⋊Dic₄₇

C₂³

yes

—

Dic₄₇⋊C₄

—

Dic₄₇⋊C₄

—

Dic₄₇⋊C₄

—

Dic₄₇⋊C₄

—

Dic₄₇⋊C₄

D₄

yes

—

C₄×Dic₄₇

—

C₄×Dic₄₇

—

C₄×Dic₄₇

C₂³

yes

—

C₂×C₄₇⋊C₈

C₂³

yes

characteristic

C₂×C₄₇⋊C₈

C₂³

yes

characteristic

C₂³×C₄₇

—

Q₈×C₄₇

—

D₄×C₄₇

—

D₄×C₄₇

C₂×Q₈

yes

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

C₂×D₄

yes

characteristic

C₂×C₄×C₄₇

C₂×D₄

yes

characteristic

C₂×C₄×C₄₇

C₂⁴

yes

characteristic

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

C₂×D₄

yes

—

C₂×Dic₄₇

C₂×D₄

yes

—

Dic₉₄

—

Dic₉₄

—

Dic₉₄

—

Dic₉₄

—

Dic₉₄

C₂×Q₈

yes

complemented

C₈×C₄₇

—

C₄₇⋊C₈

—

C₄₇⋊C₈

C₂×Q₈

yes

complemented

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

100

C₂²×C₄₇

C₂²×D₄

yes

characteristic

101

C₄×C₄₇

—

102

C₄×C₄₇

—

103

C₄×C₄₇

—

104

C₄×C₄₇

AGL(1,ℤ/8)

yes

—

105

C₄×C₄₇

C₂²×Q₈

yes

characteristic

106

C₄×C₄₇

2₋¹⁺⁴

yes

characteristic

107

Dic₄₇

—

108

Dic₄₇

—

109

Dic₄₇

—

110

Dic₄₇

—

111

Dic₄₇

—

112

#3386

—

maximal, Sylow

113

C₂×C₄₇

—

114

C₂×C₄₇

D₄×Q₈

yes

characteristic

115

C₂×C₄₇

C₂×AGL(1,ℤ/8)

yes

characteristic

116

C₂×C₄₇

#578

yes

characteristic

117

#557

—

118

D₄×Q₈

—

119

#501

—

120

#500

—

121

#478

—

122

#477

—

123

#475

—

124

#474

D₄₇

yes

characteristic

125

#446

—

126

#440

—

127

C₄×SD₁₆

—

128

C₄₇

#3386

yes

characteristic, complemented, Sylow

129

C₂²×Q₈

—

130

C₂×SD₁₆

—

131

C₄⋊Q₈

—

132

C₄⋊Q₈

—

133

C₄⋊Q₈

—

134

C₄⋊Q₈

C₂×D₄₇

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×D₄₇

yes

characteristic

145

#107

—

146

#107

—

147

#107

C₂×D₄₇

yes

—

148

#106

—

149

#106

—

150

C₄⋊C₈

—

151

C₄⋊C₈

C₂×D₄₇

yes

characteristic

152

#103

—

153

#103

—

154

#102

—

155

#102

C₂×D₄₇

yes

—

156

#97

—

157

C₄×C₈

—

158

C₂×Q₈

—

159

C₂×Q₈

—

160

C₂×Q₈

—

161

C₂×Q₈

—

162

C₂×Q₈

—

163

C₂×Q₈

—

188

—

164

C₂×D₄

C₂²×D₄₇

yes

characteristic

165

C₂²×C₄

—

166

C₂²×C₄

—

167

SD₁₆

—

168

C₂×C₈

—

169

C₂×C₈

—

170

C₂×C₈

C₂²×D₄₇

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×D₄₇

yes

—

183

C₄⋊C₄

C₂²×D₄₇

yes

characteristic

184

C₂²⋊C₄

—

185

C₂²⋊C₄

—

186

C₄²

—

187

C₄²

—

188

C₄²

—

189

C₄²

C₂²×D₄₇

yes

characteristic

190

C₂³

—

191

Q₈

—

192

Q₈

—

193

Q₈

—

194

Q₈

—

195

Q₈

—

188

—

196

Q₈

—

188

—

197

D₄

—

198

D₄

Q₈×D₄₇

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

—

188

—

208

C₂×C₄

D₄×D₄₇

yes

characteristic

209

C₂×C₄

D₄×D₄₇

yes

characteristic

210

C₂×C₄

C₂³×D₄₇

yes

characteristic

211

C₈

—

212

C₈

—

213

C₈

—

214

C₂²

—

215

C₂²

—

216

C₂²

—

217

C₂²

C₂×D₄×D₄₇

yes

characteristic

218

C₄

—

219

C₄

—

220

C₄

—

221

C₄

—

222

C₄

—

223

C₄

—

224

C₄

—

188

—

225

C₄

—

188

—

226

C₄

#13094048

yes

—

227

C₄

C₂×Q₈×D₄₇

yes

characteristic

228

C₄

#13094071

yes

characteristic

229

C₂

—

230

C₂

#15689786

yes

characteristic

231

C₂

C₂×#13094048

yes

characteristic

232

C₂

#15689939

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₇
Fitting	C₄₇×#474	C₂
socle	C₂²×C₄₇	C₂²×D₄
hypercenter	#474	D₄₇
hypocenter	C₄₇	#3386
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #474

subgroup

G/H

center

C₂²

C₂×D₄×D₄₇

commutator

C₂×C₄×C₄₇

C₂⁴

Frattini

C₂×C₄

C₂³×D₄₇

Fitting

C₄₇×#474

C₂

socle

C₂²×C₄₇

C₂²×D₄

D₄₇

C₄₇

G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #474

N	H ≅ G/N	type
1. #15689848	C₂	semidirect
3. #15689531	C₂	semidirect
4. #15689526	C₂	semidirect
6. #15689417	C₂	semidirect
7. #15689409	C₂	semidirect
8. #15689250	C₂	semidirect
57. #10625335	Q₈	semidirect
93. Dic₉₄	C₂×Q₈	semidirect
96. C₄₇⋊C₈	C₂×Q₈	semidirect
128. C₄₇	#3386	semidirect

H ≅ G/N

type

1. #15689848

C₂

semidirect

3. #15689531

C₂

semidirect

4. #15689526

C₂

semidirect

6. #15689417

C₂

semidirect

7. #15689409

C₂

semidirect

8. #15689250

C₂

semidirect

57. #10625335

Q₈

semidirect

93. Dic₉₄

C₂×Q₈

semidirect

96. C₄₇⋊C₈

C₂×Q₈

semidirect

128. C₄₇

#3386

semidirect

Subgroups — #20256313

Conjugacy classes of subgroups

Complements