Group #20255046 — subgroups

Subgroups — #20255046

Order 6016.

476 conjugacy classes of subgroups; only the 129 normal subgroups are shown.

normal subgroups only

This group has 476 conjugacy classes of subgroups — too many to draw. Only its 129 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×#13094057	C₂	1	2	yes	maximal, complemented
2	#15689782	C₂	1	2	yes	maximal, complemented
3	#15689507	C₂	1	1	yes	maximal, characteristic, complemented
4	#15689369	C₂	1	2	yes	maximal, complemented
5	#15689346	C₂	1	2	yes	maximal, complemented
6	#15689281	C₂	1	2	yes	maximal, complemented
7	#15689270	C₂	1	2	yes	maximal, complemented
8	C₄×Dic₁₈₈	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#436	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#10625350	C₂²	1	2	yes	—
11	C₂²×Dic₉₄	C₂²	1	2	yes	—
12	#13094057	—	2	8	no	—
13	C₂×Dic₁₈₈	C₂²	1	2	yes	—
14	C₂×Dic₁₈₈	C₂²	1	1	yes	characteristic
15	C₂×Dic₁₈₈	C₂²	1	1	yes	characteristic
16	C₂×#10625325	C₂²	1	2	yes	—
17	C₂×#10625325	C₂²	1	2	yes	—
18	C₂×D₃₇₆	C₂²	1	1	yes	characteristic
19	#13094012	C₂²	1	2	yes	—
20	#13094010	—	2	2	no	—
21	#13094003	C₂²	1	2	yes	—
22	#13094002	—	2	2	no	—
23	#13093998	C₂²	1	2	yes	—
24	#13093996	—	2	2	no	—
25	C₄×Dic₉₄	C₂²	1	2	yes	—
26	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
27	#13093958	C₂²	1	1	yes	characteristic
28	#13093949	C₂²	1	2	yes	—
29	#13093949	C₂²	1	2	yes	—
30	#13093946	C₂²	1	2	yes	—
31	C₂×M₁₆×C₄₇	C₂²	1	2	yes	—
32	C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
33	C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
34	C₂²⋊C₈×C₄₇	C₂²	1	2	yes	—
35	C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
36	C₂×D₄×C₄₇	D₄	1	1	yes	characteristic
37	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
38	C₂×C₂²⋊D₄₇	—	2	2	no	—
39	C₂×C₂²⋊D₄₇	—	2	2	no	—
40	C₂²×Dic₄₇	—	2	2	no	—
41	#10625350	—	2	4	no	—
42	#10625350	—	4	2	no	—
43	C₂×D₁₈₈	C₂³	1	2	yes	—
44	C₂×C₄×D₄₇	—	2	2	no	—
45	C₂×Dic₉₄	—	2	4	no	—
46	C₂×Dic₉₄	—	2	2	no	—
47	C₂×Dic₉₄	—	4	2	no	—
48	C₂×Dic₉₄	C₂³	1	2	yes	—
49	C₂×Dic₉₄	C₂³	1	2	yes	—
50	M₁₆×C₄₇	—	2	4	no	—
51	C₂×C₈×C₄₇	C₂³	1	2	yes	—
52	C₂×C₈×C₄₇	C₂³	1	1	yes	characteristic
53	C₂×C₈×C₄₇	C₂³	1	1	yes	characteristic
54	C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
55	C₂²⋊C₄×C₄₇	D₄	1	2	yes	—
56	C₄²×C₄₇	C₂³	1	1	yes	characteristic
57	C₂²⋊Dic₄₇	—	2	2	no	—
58	(C₂×D₄₇)⋊C₄	—	2	2	no	—
59	(C₂×D₄₇)⋊C₄	—	2	2	no	—
60	(C₂×D₄₇)⋊C₄	—	2	2	no	—
61	C₄⋊Dic₄₇	C₂³	1	2	yes	—
62	Dic₄₇⋊C₄	—	2	2	no	—
63	Dic₄₇⋊C₄	—	2	2	no	—
64	C₄×Dic₄₇	—	2	2	no	—
65	Dic₁₈₈	—	2	4	no	—
66	Dic₁₈₈	—	4	1	no	—
67	Dic₁₈₈	D₄	1	4	yes	complemented
68	D₃₇₆	—	4	1	no	—
69	#10625325	—	2	4	no	—
70	#10625325	—	2	4	no	—
71	C₂³×C₄₇	C₂×D₄	1	2	yes	—
72	C₂²×D₄₇	—	2	2	no	—
73	D₄×C₄₇	—	4	1	no	—
74	C₂×C₄×C₄₇	—	2	2	no	—
75	C₂×C₄×C₄₇	—	2	2	no	—
76	C₂×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
77	C₂×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
78	C₂×C₄×C₄₇	C₂×D₄	1	2	yes	—
79	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
80	C₂²⋊D₄₇	—	4	4	no	—
81	C₂²⋊D₄₇	—	4	4	no	—
82	C₂×Dic₄₇	—	2	2	no	—
83	C₂×Dic₄₇	—	2	2	no	—
84	C₂×Dic₄₇	—	2	2	no	—
85	C₂×Dic₄₇	—	4	4	no	—
86	D₁₈₈	—	2	2	no	—
87	D₁₈₈	—	2	2	no	—
88	C₄×D₄₇	—	4	4	no	—
89	Dic₉₄	—	2	2	no	—
90	Dic₉₄	—	2	2	no	—
91	Dic₉₄	—	2	2	no	—
92	Dic₉₄	—	4	4	no	—
93	Dic₉₄	C₂×D₄	1	4	yes	—
94	C₈×C₄₇	—	2	2	no	—
95	C₈×C₄₇	—	2	1	no	—
96	C₈×C₄₇	C₂×D₄	1	2	yes	—
97	C₂²×C₄₇	—	2	2	no	—
98	C₂²×C₄₇	—	2	2	no	—
99	C₂²×C₄₇	—	2	2	no	—
100	C₂²×C₄₇	C₂²×D₄	1	1	yes	characteristic
101	C₂×D₄₇	—	4	2	no	—
102	C₂×D₄₇	—	4	2	no	—
103	C₂×D₄₇	—	4	2	no	—
104	C₄×C₄₇	—	2	2	no	—
105	C₄×C₄₇	—	2	1	no	—
106	C₄×C₄₇	—	2	1	no	—
107	C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
108	C₄×C₄₇	H(5,𝔽₂)	1	1	yes	characteristic
109	Dic₄₇	—	2	4	no	—
110	Dic₄₇	—	4	2	no	—
111	Dic₄₇	—	4	2	no	—
112	#3277	—	47	1	no	maximal, Sylow
113	C₂×C₄₇	—	4	2	no	—
114	C₂×C₄₇	D₄²	1	1	yes	characteristic
115	C₂×C₄₇	#575	1	1	yes	characteristic
116	C₂×C₄₇	#578	1	1	yes	characteristic
117	D₄₇	—	8	2	no	—
118	C₂×#137	—	47	2	no	—
119	#548	—	47	2	no	—
120	#495	—	47	1	no	—
121	#468	—	47	2	no	—
122	#464	—	47	2	no	—
123	#451	—	47	2	no	—
124	#449	—	47	2	no	—
125	C₄×Q₁₆	—	47	1	no	—
126	#436	D₄₇	1	1	yes	characteristic, complemented
127	C₄₇	#3277	1	1	yes	characteristic, complemented, Sylow
128	C₂×#41	—	47	2	no	—
129	C₂²×Q₈	—	47	2	no	—
130	#137	—	94	8	no	—
131	C₂×Q₁₆	—	47	1	no	—
132	C₂×Q₁₆	—	47	2	no	—
133	C₂×Q₁₆	—	47	1	no	—
134	C₂×SD₁₆	—	47	2	no	—
135	C₂×SD₁₆	—	47	2	no	—
136	C₂×D₈	—	47	1	no	—
137	C₂×M₁₆	C₂×D₄₇	1	2	yes	—
138	#124	—	47	2	no	—
139	#124	—	94	2	no	—
140	C₂²⋊Q₈	—	47	2	no	—
141	C₂²⋊Q₈	—	94	2	no	—
142	#121	—	47	2	no	—
143	#121	—	94	2	no	—
144	C₄×Q₈	—	47	2	no	—
145	C₄×D₄	—	94	2	no	—
146	C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
147	#107	—	47	1	no	—
148	C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
149	#103	—	47	2	no	—
150	#103	—	47	2	no	—
151	#102	—	47	2	no	—
152	C₂²⋊C₈	C₂×D₄₇	1	2	yes	—
153	C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
154	#41	—	94	4	no	—
155	#41	—	188	2	no	—
156	C₂×Q₈	—	47	2	no	—
157	C₂×Q₈	—	47	2	no	—
158	C₂×Q₈	—	94	4	no	—
159	C₂×Q₈	—	94	2	no	—
160	C₂×Q₈	—	188	2	no	—
161	C₂×D₄	—	47	2	no	—
162	C₂×D₄	—	94	2	no	—
163	C₂×D₄	—	94	2	no	—
164	C₂×D₄	D₁₈₈	1	1	yes	characteristic
165	C₂²×C₄	—	94	2	no	—
166	C₂²×C₄	—	94	2	no	—
167	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
168	Q₁₆	—	47	4	no	—
169	Q₁₆	—	94	4	no	—
170	Q₁₆	—	188	1	no	—
171	SD₁₆	—	94	4	no	—
172	SD₁₆	—	94	4	no	—
173	D₈	—	188	1	no	—
174	M₁₆	—	2	4	no	—
175	C₂×C₈	C₂²×D₄₇	1	1	yes	characteristic
176	C₂×C₈	C₂²×D₄₇	1	2	yes	—
177	C₂×C₈	C₂²×D₄₇	1	1	yes	characteristic
178	C₄⋊C₄	—	47	2	no	—
179	C₄⋊C₄	—	94	2	no	—
180	C₄⋊C₄	—	94	2	no	—
181	C₄⋊C₄	D₁₈₈	1	1	yes	characteristic
182	C₂²⋊C₄	—	94	2	no	—
183	C₂²⋊C₄	—	94	2	no	—
184	C₂²⋊C₄	—	94	2	no	—
185	C₂²⋊C₄	—	94	2	no	—
186	C₂²⋊C₄	D₁₈₈	1	2	yes	—
187	C₄²	—	94	2	no	—
188	C₄²	C₂²×D₄₇	1	1	yes	characteristic
189	C₂³	—	94	2	no	—
190	C₂³	C₂×D₁₈₈	1	2	yes	—
191	Q₈	—	47	4	no	—
192	Q₈	—	94	2	no	—
193	Q₈	—	94	2	no	—
194	Q₈	—	94	2	no	—
195	Q₈	—	188	4	no	—
196	D₄	—	4	1	no	—
197	D₄	—	94	2	no	—
198	D₄	—	94	2	no	—
199	D₄	—	188	4	no	—
200	D₄	—	188	4	no	—
201	C₂×C₄	—	2	2	no	—
202	C₂×C₄	—	2	2	no	—
203	C₂×C₄	—	94	2	no	—
204	C₂×C₄	—	94	2	no	—
205	C₂×C₄	—	94	2	no	—
206	C₂×C₄	—	188	4	no	—
207	C₂×C₄	—	188	4	no	—
208	C₂×C₄	C₂×D₁₈₈	1	1	yes	characteristic
209	C₂×C₄	C₂×D₁₈₈	1	1	yes	characteristic
210	C₂×C₄	C₂×D₁₈₈	1	2	yes	—
211	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
212	C₈	—	2	2	no	—
213	C₈	—	2	1	no	—
214	C₈	D₄×D₄₇	1	2	yes	—
215	C₂²	—	2	2	no	—
216	C₂²	—	2	2	no	—
217	C₂²	—	2	2	no	—
218	C₂²	—	188	2	no	—
219	C₂²	—	188	2	no	—
220	C₂²	—	188	2	no	—
221	C₂²	C₂²×D₁₈₈	1	1	yes	characteristic
222	C₄	—	2	2	no	—
223	C₄	—	2	1	no	—
224	C₄	—	2	1	no	—
225	C₄	—	94	4	no	—
226	C₄	—	188	2	no	—
227	C₄	—	188	2	no	—
228	C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
229	C₄	#13094070	1	1	yes	characteristic
230	C₂	—	4	2	no	—
231	C₂	—	376	2	no	—
232	C₂	D₄×D₁₈₈	1	1	yes	characteristic
233	C₂	#15689923	1	1	yes	characteristic
234	C₂	#15689940	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#13094057

C₂

yes

maximal, complemented

#15689782

C₂

yes

maximal, complemented

#15689507

C₂

yes

maximal, characteristic, complemented

#15689369

C₂

yes

maximal, complemented

#15689346

C₂

yes

maximal, complemented

#15689281

C₂

yes

maximal, complemented

#15689270

C₂

yes

maximal, complemented

C₄×Dic₁₈₈

C₂

yes

maximal, characteristic, complemented

C₄₇×#436

C₂

yes

maximal, characteristic, complemented

C₂×#10625350

C₂²

yes

—

C₂²×Dic₉₄

C₂²

yes

—

#13094057

—

C₂×Dic₁₈₈

C₂²

yes

—

C₂×Dic₁₈₈

C₂²

yes

characteristic

C₂×Dic₁₈₈

C₂²

yes

characteristic

C₂×#10625325

C₂²

yes

—

C₂×#10625325

C₂²

yes

—

C₂×D₃₇₆

C₂²

yes

characteristic

#13094012

C₂²

yes

—

#13094010

—

#13094003

C₂²

yes

—

#13094002

—

#13093998

C₂²

yes

—

#13093996

—

C₄×Dic₉₄

C₂²

yes

—

(C₂²⋊D₄₇)⋊C₄

—

#13093958

C₂²

yes

characteristic

#13093949

C₂²

yes

—

#13093949

C₂²

yes

—

#13093946

C₂²

yes

—

C₂×M₁₆×C₄₇

C₂²

yes

—

C₄×D₄×C₄₇

C₂²

yes

characteristic

C₄⋊C₈×C₄₇

C₂²

yes

characteristic

C₂²⋊C₈×C₄₇

C₂²

yes

—

C₄×C₈×C₄₇

C₂²

yes

characteristic

C₂×D₄×C₄₇

D₄

yes

characteristic

C₂²×C₄×C₄₇

C₂³

yes

—

C₂×C₂²⋊D₄₇

—

C₂×C₂²⋊D₄₇

—

C₂²×Dic₄₇

—

#10625350

—

#10625350

—

C₂×D₁₈₈

C₂³

yes

—

C₂×C₄×D₄₇

—

C₂×Dic₉₄

—

C₂×Dic₉₄

—

C₂×Dic₉₄

—

C₂×Dic₉₄

C₂³

yes

—

C₂×Dic₉₄

C₂³

yes

—

M₁₆×C₄₇

—

C₂×C₈×C₄₇

C₂³

yes

—

C₂×C₈×C₄₇

C₂³

yes

characteristic

C₂×C₈×C₄₇

C₂³

yes

characteristic

C₄⋊C₄×C₄₇

D₄

yes

characteristic

C₂²⋊C₄×C₄₇

D₄

yes

—

C₄²×C₄₇

C₂³

yes

characteristic

C₂²⋊Dic₄₇

—

(C₂×D₄₇)⋊C₄

—

(C₂×D₄₇)⋊C₄

—

(C₂×D₄₇)⋊C₄

—

C₄⋊Dic₄₇

C₂³

yes

—

Dic₄₇⋊C₄

—

Dic₄₇⋊C₄

—

C₄×Dic₄₇

—

Dic₁₈₈

—

Dic₁₈₈

—

Dic₁₈₈

D₄

yes

complemented

D₃₇₆

—

#10625325

—

#10625325

—

C₂³×C₄₇

C₂×D₄

yes

—

C₂²×D₄₇

—

D₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

C₂×D₄

yes

characteristic

C₂×C₄×C₄₇

C₂×D₄

yes

characteristic

C₂×C₄×C₄₇

C₂×D₄

yes

—

C₂×C₄×C₄₇

C₂⁴

yes

characteristic

C₂²⋊D₄₇

—

C₂²⋊D₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

D₁₈₈

—

D₁₈₈

—

C₄×D₄₇

—

Dic₉₄

—

Dic₉₄

—

Dic₉₄

—

Dic₉₄

—

Dic₉₄

C₂×D₄

yes

—

C₈×C₄₇

—

C₈×C₄₇

—

C₈×C₄₇

C₂×D₄

yes

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

100

C₂²×C₄₇

C₂²×D₄

yes

characteristic

101

C₂×D₄₇

—

102

C₂×D₄₇

—

103

C₂×D₄₇

—

104

C₄×C₄₇

—

105

C₄×C₄₇

—

106

C₄×C₄₇

—

107

C₄×C₄₇

C₂²×D₄

yes

characteristic

108

C₄×C₄₇

H(5,𝔽₂)

yes

characteristic

109

Dic₄₇

—

110

Dic₄₇

—

111

Dic₄₇

—

112

#3277

—

maximal, Sylow

113

C₂×C₄₇

—

114

C₂×C₄₇

D₄²

yes

characteristic

115

C₂×C₄₇

#575

yes

characteristic

116

C₂×C₄₇

#578

yes

characteristic

117

D₄₇

—

118

C₂×#137

—

119

#548

—

120

#495

—

121

#468

—

122

#464

—

123

#451

—

124

#449

—

125

C₄×Q₁₆

—

126

#436

D₄₇

yes

characteristic, complemented

127

C₄₇

#3277

yes

characteristic, complemented, Sylow

128

C₂×#41

—

129

C₂²×Q₈

—

130

#137

—

131

C₂×Q₁₆

—

132

C₂×Q₁₆

—

133

C₂×Q₁₆

—

134

C₂×SD₁₆

—

135

C₂×SD₁₆

—

136

C₂×D₈

—

137

C₂×M₁₆

C₂×D₄₇

yes

—

138

#124

—

139

#124

—

140

C₂²⋊Q₈

—

141

C₂²⋊Q₈

—

142

#121

—

143

#121

—

144

C₄×Q₈

—

145

C₄×D₄

—

146

C₄×D₄

C₂×D₄₇

yes

characteristic

147

#107

—

148

C₄⋊C₈

C₂×D₄₇

yes

characteristic

149

#103

—

150

#103

—

151

#102

—

152

C₂²⋊C₈

C₂×D₄₇

yes

—

153

C₄×C₈

C₂×D₄₇

yes

characteristic

154

#41

—

155

#41

—

188

—

156

C₂×Q₈

—

157

C₂×Q₈

—

158

C₂×Q₈

—

159

C₂×Q₈

—

160

C₂×Q₈

—

188

—

161

C₂×D₄

—

162

C₂×D₄

—

163

C₂×D₄

—

164

C₂×D₄

D₁₈₈

yes

characteristic

165

C₂²×C₄

—

166

C₂²×C₄

—

167

C₂²×C₄

C₂²×D₄₇

yes

—

168

Q₁₆

—

169

Q₁₆

—

170

Q₁₆

—

188

—

171

SD₁₆

—

172

SD₁₆

—

173

D₈

—

188

—

174

M₁₆

—

175

C₂×C₈

C₂²×D₄₇

yes

characteristic

176

C₂×C₈

C₂²×D₄₇

yes

—

177

C₂×C₈

C₂²×D₄₇

yes

characteristic

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₄⋊C₄

D₁₈₈

yes

characteristic

182

C₂²⋊C₄

—

183

C₂²⋊C₄

—

184

C₂²⋊C₄

—

185

C₂²⋊C₄

—

186

C₂²⋊C₄

D₁₈₈

yes

—

187

C₄²

—

188

C₄²

C₂²×D₄₇

yes

characteristic

189

C₂³

—

190

C₂³

C₂×D₁₈₈

yes

—

191

Q₈

—

192

Q₈

—

193

Q₈

—

194

Q₈

—

195

Q₈

—

188

—

196

D₄

—

197

D₄

—

198

D₄

—

199

D₄

—

188

—

200

D₄

—

188

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

—

188

—

207

C₂×C₄

—

188

—

208

C₂×C₄

C₂×D₁₈₈

yes

characteristic

209

C₂×C₄

C₂×D₁₈₈

yes

characteristic

210

C₂×C₄

C₂×D₁₈₈

yes

—

211

C₂×C₄

C₂³×D₄₇

yes

characteristic

212

C₈

—

213

C₈

—

214

C₈

D₄×D₄₇

yes

—

215

C₂²

—

216

C₂²

—

217

C₂²

—

218

C₂²

—

188

—

219

C₂²

—

188

—

220

C₂²

—

188

—

221

C₂²

C₂²×D₁₈₈

yes

characteristic

222

C₄

—

223

C₄

—

224

C₄

—

225

C₄

—

226

C₄

—

188

—

227

C₄

—

188

—

228

C₄

C₂×D₄×D₄₇

yes

characteristic

229

C₄

#13094070

yes

characteristic

230

C₂

—

231

C₂

—

376

—

232

C₂

D₄×D₁₈₈

yes

characteristic

233

C₂

#15689923

yes

characteristic

234

C₂

#15689940

yes

characteristic

	subgroup	G/H
center	C₂²	C₂²×D₁₈₈
commutator	C₂×C₄×C₄₇	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₇
Fitting	C₄₇×#436	C₂
socle	C₂²×C₄₇	C₂²×D₄
hypercenter	#436	D₄₇
hypocenter	C₄₇	#3277
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #436

subgroup

G/H

center

C₂²

C₂²×D₁₈₈

commutator

C₂×C₄×C₄₇

C₂⁴

Frattini

C₂×C₄

C₂³×D₄₇

Fitting

C₄₇×#436

C₂

socle

C₂²×C₄₇

C₂²×D₄

D₄₇

C₄₇

G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇

UCS

C₁ ◁ C₂² ◁ C₄×D₄ ◁ #436

N	H ≅ G/N	type
1. C₂×#13094057	C₂	semidirect
2. #15689782	C₂	semidirect
3. #15689507	C₂	semidirect
4. #15689369	C₂	semidirect
5. #15689346	C₂	semidirect
6. #15689281	C₂	semidirect
7. #15689270	C₂	semidirect
8. C₄×Dic₁₈₈	C₂	semidirect
9. C₄₇×#436	C₂	semidirect
67. Dic₁₈₈	D₄	semidirect
126. #436	D₄₇	semidirect
127. C₄₇	#3277	semidirect

H ≅ G/N

type

1. C₂×#13094057

C₂

semidirect

2. #15689782

C₂

semidirect

3. #15689507

C₂

semidirect

4. #15689369

C₂

semidirect

5. #15689346

C₂

semidirect

6. #15689281

C₂

semidirect

7. #15689270

C₂

semidirect

8. C₄×Dic₁₈₈

C₂

semidirect

9. C₄₇×#436

C₂

semidirect

67. Dic₁₈₈

D₄

semidirect

126. #436

D₄₇

semidirect

127. C₄₇

#3277

semidirect

Subgroups — #20255046

Conjugacy classes of subgroups

Complements