Group #20255043 — subgroups

Subgroups — #20255043

Order 6016.

476 conjugacy classes of subgroups; only the 121 normal subgroups are shown.

normal subgroups only

This group has 476 conjugacy classes of subgroups — too many to draw. Only its 121 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×#13094053	C₂	1	2	yes	maximal, complemented
2	#15689781	C₂	1	2	yes	maximal, complemented
3	#15689366	C₂	1	2	yes	maximal, complemented
4	#15689342	C₂	1	2	yes	maximal, complemented
5	#15689277	C₂	1	2	yes	maximal, complemented
6	#15689265	C₂	1	2	yes	maximal, complemented
7	C₄×Dic₁₈₈	C₂	1	1	yes	maximal, characteristic, complemented
8	#15689202	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#495	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#10625352	C₂²	1	2	yes	—
11	C₂×Q₈×D₄₇	C₂²	1	2	yes	—
12	#13094053	—	2	8	no	—
13	C₂×Dic₁₈₈	C₂²	1	1	yes	characteristic
14	C₂×#10625337	C₂²	1	2	yes	—
15	C₂×#10625335	C₂²	1	2	yes	—
16	C₂×#10625324	C₂²	1	2	yes	—
17	#13094010	—	2	2	no	—
18	#13094001	—	2	2	no	—
19	#13094000	C₂²	1	2	yes	—
20	#13093997	—	2	2	no	—
21	#13093995	C₂²	1	2	yes	—
22	C₄×Dic₉₄	C₂²	1	2	yes	—
23	C₄×D₁₈₈	C₂²	1	1	yes	characteristic
24	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
25	#13093958	C₂²	1	1	yes	characteristic
26	C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
27	#13093949	C₂²	1	2	yes	—
28	#13093948	C₂²	1	2	yes	—
29	#13093945	C₂²	1	2	yes	—
30	(C₂×D₄₇)⋊C₈	C₂²	1	2	yes	—
31	C₂×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic
32	C₂×SD₁₆×C₄₇	C₂²	1	2	yes	—
33	C₂×D₈×C₄₇	C₂²	1	1	yes	characteristic
34	#124×C₄₇	C₂²	1	2	yes	—
35	C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
36	C₂×Q₈×C₄₇	C₂³	1	2	yes	—
37	C₂×D₄×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	Q₈×D₄₇	—	2	4	no	—
42	Q₈×D₄₇	—	4	2	no	—
43	#10625352	—	2	4	no	—
44	#10625352	—	4	2	no	—
45	C₂×D₁₈₈	D₄	1	1	yes	characteristic
46	C₂×C₄×D₄₇	—	2	2	no	—
47	C₂×C₄×D₄₇	C₂³	1	2	yes	—
48	C₂×Dic₉₄	—	2	2	no	—
49	C₂×Dic₉₄	C₂³	1	2	yes	—
50	Q₁₆×C₄₇	—	4	1	no	—
51	SD₁₆×C₄₇	—	2	4	no	—
52	D₈×C₄₇	—	4	1	no	—
53	C₂×C₈×C₄₇	C₂³	1	1	yes	characteristic
54	C₂×C₈×C₄₇	C₂³	1	1	yes	characteristic
55	C₂²⋊C₄×C₄₇	—	2	2	no	—
56	C₂²⋊C₄×C₄₇	—	2	2	no	—
57	C₄²×C₄₇	C₂³	1	1	yes	characteristic
58	C₂²⋊Dic₄₇	—	2	2	no	—
59	#10625337	—	2	4	no	—
60	#10625335	—	2	4	no	—
61	(C₂×D₄₇)⋊C₄	—	2	2	no	—
62	(C₂×D₄₇)⋊C₄	D₄	1	2	yes	—
63	C₄⋊Dic₄₇	D₄	1	1	yes	characteristic
64	C₄⋊Dic₄₇	C₂³	1	2	yes	—
65	Dic₄₇⋊C₄	—	2	2	no	—
66	Dic₄₇⋊C₄	—	2	2	no	—
67	C₄×Dic₄₇	—	2	2	no	—
68	C₂×C₄₇⋊C₈	C₂³	1	2	yes	—
69	Dic₁₈₈	D₄	1	4	yes	complemented
70	#10625324	—	2	4	no	—
71	C₂³×C₄₇	—	2	2	no	—
72	C₂²×D₄₇	C₂×D₄	1	2	yes	—
73	Q₈×C₄₇	—	2	2	no	—
74	Q₈×C₄₇	—	2	2	no	—
75	D₄×C₄₇	—	2	2	no	—
76	D₄×C₄₇	—	2	2	no	—
77	C₂×C₄×C₄₇	—	2	2	no	—
78	C₂×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
79	C₂×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
80	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
81	C₂²⋊D₄₇	—	4	4	no	—
82	C₂²⋊D₄₇	—	4	4	no	—
83	C₂×Dic₄₇	—	2	2	no	—
84	C₂×Dic₄₇	—	2	2	no	—
85	C₂×Dic₄₇	—	4	4	no	—
86	C₂×Dic₄₇	C₂×D₄	1	2	yes	—
87	D₁₈₈	—	4	1	no	—
88	C₄×D₄₇	—	2	2	no	—
89	C₄×D₄₇	—	2	2	no	—
90	C₄×D₄₇	—	4	4	no	—
91	Dic₉₄	—	2	2	no	—
92	Dic₉₄	—	4	4	no	—
93	Dic₉₄	C₂×D₄	1	4	yes	—
94	C₈×C₄₇	—	2	1	no	—
95	C₈×C₄₇	C₂×D₄	1	2	yes	—
96	C₄₇⋊C₈	—	2	2	no	—
97	C₂²×C₄₇	—	4	2	no	—
98	C₂²×C₄₇	—	4	2	no	—
99	C₂²×C₄₇	—	4	2	no	—
100	C₂²×C₄₇	C₂²×D₄	1	1	yes	characteristic
101	C₂×D₄₇	—	2	2	no	—
102	C₂×D₄₇	—	2	2	no	—
103	C₂×D₄₇	—	2	2	no	—
104	C₄×C₄₇	—	2	1	no	—
105	C₄×C₄₇	—	2	1	no	—
106	C₄×C₄₇	—	4	2	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	—	2	2	no	—
111	Dic₄₇	—	4	2	no	—
112	#3277	—	47	1	no	maximal, Sylow
113	C₂×C₄₇	—	8	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	—	4	2	no	—
118	C₂×#137	—	47	2	no	—
119	#548	—	47	2	no	—
120	#495	D₄₇	1	1	yes	characteristic, complemented
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	—	47	1	no	—
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	2	no	—
132	C₂×Q₁₆	—	47	1	no	—
133	C₂×Q₁₆	C₂×D₄₇	1	1	yes	characteristic
134	C₂×SD₁₆	—	47	2	no	—
135	C₂×SD₁₆	C₂×D₄₇	1	2	yes	—
136	C₂×D₈	C₂×D₄₇	1	1	yes	characteristic
137	C₂×M₁₆	—	47	2	no	—
138	#124	—	94	2	no	—
139	#124	C₂×D₄₇	1	2	yes	—
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	—	47	1	no	—
146	C₄×D₄	—	94	2	no	—
147	#107	—	47	1	no	—
148	C₄⋊C₈	—	47	1	no	—
149	#103	—	47	2	no	—
150	#103	—	47	2	no	—
151	#102	—	47	2	no	—
152	C₂²⋊C₈	—	47	2	no	—
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	—	94	2	no	—
158	C₂×Q₈	—	94	4	no	—
159	C₂×Q₈	—	188	2	no	—
160	C₂×Q₈	C₂²×D₄₇	1	2	yes	—
161	C₂×D₄	—	47	1	no	—
162	C₂×D₄	—	94	2	no	—
163	C₂×D₄	—	94	2	no	—
164	C₂×D₄	C₂²×D₄₇	1	2	yes	—
165	C₂²×C₄	—	47	2	no	—
166	C₂²×C₄	—	94	2	no	—
167	C₂²×C₄	—	94	2	no	—
168	Q₁₆	—	4	1	no	—
169	Q₁₆	—	47	4	no	—
170	Q₁₆	—	94	4	no	—
171	SD₁₆	—	2	4	no	—
172	SD₁₆	—	94	4	no	—
173	D₈	—	4	1	no	—
174	M₁₆	—	94	4	no	—
175	C₂×C₈	—	47	2	no	—
176	C₂×C₈	C₂²×D₄₇	1	1	yes	characteristic
177	C₂×C₈	C₂²×D₄₇	1	1	yes	characteristic
178	C₄⋊C₄	—	47	1	no	—
179	C₄⋊C₄	—	47	2	no	—
180	C₄⋊C₄	—	94	2	no	—
181	C₄⋊C₄	—	94	2	no	—
182	C₂²⋊C₄	—	2	2	no	—
183	C₂²⋊C₄	—	2	2	no	—
184	C₂²⋊C₄	—	47	2	no	—
185	C₂²⋊C₄	—	94	2	no	—
186	C₂²⋊C₄	—	94	2	no	—
187	C₄²	—	94	2	no	—
188	C₄²	C₂²×D₄₇	1	1	yes	characteristic
189	C₂³	—	2	2	no	—
190	C₂³	—	47	2	no	—
191	Q₈	—	2	2	no	—
192	Q₈	—	2	2	no	—
193	Q₈	—	47	4	no	—
194	Q₈	—	94	2	no	—
195	Q₈	—	188	4	no	—
196	D₄	—	2	2	no	—
197	D₄	—	2	2	no	—
198	D₄	—	188	1	no	—
199	D₄	—	188	4	no	—
200	D₄	—	188	4	no	—
201	C₂×C₄	—	2	2	no	—
202	C₂×C₄	—	47	2	no	—
203	C₂×C₄	—	94	2	no	—
204	C₂×C₄	—	94	2	no	—
205	C₂×C₄	—	94	2	no	—
206	C₂×C₄	—	94	2	no	—
207	C₂×C₄	—	188	4	no	—
208	C₂×C₄	—	188	4	no	—
209	C₂×C₄	D₄×D₄₇	1	1	yes	characteristic
210	C₂×C₄	D₄×D₄₇	1	1	yes	characteristic
211	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
212	C₈	—	2	1	no	—
213	C₈	—	94	2	no	—
214	C₈	D₄×D₄₇	1	2	yes	—
215	C₂²	—	4	2	no	—
216	C₂²	—	4	2	no	—
217	C₂²	—	4	2	no	—
218	C₂²	—	94	2	no	—
219	C₂²	—	94	2	no	—
220	C₂²	—	94	2	no	—
221	C₂²	C₂×D₄×D₄₇	1	1	yes	characteristic
222	C₄	—	2	1	no	—
223	C₄	—	2	1	no	—
224	C₄	—	4	2	no	—
225	C₄	—	94	2	no	—
226	C₄	—	94	4	no	—
227	C₄	—	188	2	no	—
228	C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
229	C₄	#13094069	1	1	yes	characteristic
230	C₂	—	8	2	no	—
231	C₂	—	188	2	no	—
232	C₂	#15689758	1	1	yes	characteristic
233	C₂	#15689920	1	1	yes	characteristic
234	C₂	#15689937	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#13094053

C₂

yes

maximal, complemented

#15689781

C₂

yes

maximal, complemented

#15689366

C₂

yes

maximal, complemented

#15689342

C₂

yes

maximal, complemented

#15689277

C₂

yes

maximal, complemented

#15689265

C₂

yes

maximal, complemented

C₄×Dic₁₈₈

C₂

yes

maximal, characteristic, complemented

#15689202

C₂

yes

maximal, characteristic, complemented

C₄₇×#495

C₂

yes

maximal, characteristic, complemented

C₂×#10625352

C₂²

yes

—

C₂×Q₈×D₄₇

C₂²

yes

—

#13094053

—

C₂×Dic₁₈₈

C₂²

yes

characteristic

C₂×#10625337

C₂²

yes

—

C₂×#10625335

C₂²

yes

—

C₂×#10625324

C₂²

yes

—

#13094010

—

#13094001

—

#13094000

C₂²

yes

—

#13093997

—

#13093995

C₂²

yes

—

C₄×Dic₉₄

C₂²

yes

—

C₄×D₁₈₈

C₂²

yes

characteristic

(C₂²⋊D₄₇)⋊C₄

—

#13093958

C₂²

yes

characteristic

C₄⋊(C₄₇⋊C₈)

C₂²

yes

characteristic

#13093949

C₂²

yes

—

#13093948

C₂²

yes

—

#13093945

C₂²

yes

—

(C₂×D₄₇)⋊C₈

C₂²

yes

—

C₂×Q₁₆×C₄₇

C₂²

yes

characteristic

C₂×SD₁₆×C₄₇

C₂²

yes

—

C₂×D₈×C₄₇

C₂²

yes

characteristic

#124×C₄₇

C₂²

yes

—

C₄×C₈×C₄₇

C₂²

yes

characteristic

C₂×Q₈×C₄₇

C₂³

yes

—

C₂×D₄×C₄₇

C₂³

yes

—

C₂×C₂²⋊D₄₇

—

C₂×C₂²⋊D₄₇

—

C₂²×Dic₄₇

—

Q₈×D₄₇

—

Q₈×D₄₇

—

#10625352

—

#10625352

—

C₂×D₁₈₈

D₄

yes

characteristic

C₂×C₄×D₄₇

—

C₂×C₄×D₄₇

C₂³

yes

—

C₂×Dic₉₄

—

C₂×Dic₉₄

C₂³

yes

—

Q₁₆×C₄₇

—

SD₁₆×C₄₇

—

D₈×C₄₇

—

C₂×C₈×C₄₇

C₂³

yes

characteristic

C₂×C₈×C₄₇

C₂³

yes

characteristic

C₂²⋊C₄×C₄₇

—

C₂²⋊C₄×C₄₇

—

C₄²×C₄₇

C₂³

yes

characteristic

C₂²⋊Dic₄₇

—

#10625337

—

#10625335

—

(C₂×D₄₇)⋊C₄

—

(C₂×D₄₇)⋊C₄

D₄

yes

—

C₄⋊Dic₄₇

D₄

yes

characteristic

C₄⋊Dic₄₇

C₂³

yes

—

Dic₄₇⋊C₄

—

Dic₄₇⋊C₄

—

C₄×Dic₄₇

—

C₂×C₄₇⋊C₈

C₂³

yes

—

Dic₁₈₈

D₄

yes

complemented

#10625324

—

C₂³×C₄₇

—

C₂²×D₄₇

C₂×D₄

yes

—

Q₈×C₄₇

—

Q₈×C₄₇

—

D₄×C₄₇

—

D₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

C₂×D₄

yes

characteristic

C₂×C₄×C₄₇

C₂×D₄

yes

characteristic

C₂×C₄×C₄₇

C₂⁴

yes

characteristic

C₂²⋊D₄₇

—

C₂²⋊D₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

C₂×D₄

yes

—

D₁₈₈

—

C₄×D₄₇

—

C₄×D₄₇

—

C₄×D₄₇

—

Dic₉₄

—

Dic₉₄

—

Dic₉₄

C₂×D₄

yes

—

C₈×C₄₇

—

C₈×C₄₇

C₂×D₄

yes

—

C₄₇⋊C₈

—

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

D₄₇

yes

characteristic, complemented

121

#468

—

122

#464

—

123

#451

—

124

#449

—

125

C₄×Q₁₆

—

126

#436

—

127

C₄₇

#3277

yes

characteristic, complemented, Sylow

128

C₂×#41

—

129

C₂²×Q₈

—

130

#137

—

131

C₂×Q₁₆

—

132

C₂×Q₁₆

—

133

C₂×Q₁₆

C₂×D₄₇

yes

characteristic

134

C₂×SD₁₆

—

135

C₂×SD₁₆

C₂×D₄₇

yes

—

136

C₂×D₈

C₂×D₄₇

yes

characteristic

137

C₂×M₁₆

—

138

#124

—

139

#124

C₂×D₄₇

yes

—

140

C₂²⋊Q₈

—

141

C₂²⋊Q₈

—

142

#121

—

143

#121

—

144

C₄×Q₈

—

145

C₄×D₄

—

146

C₄×D₄

—

147

#107

—

148

C₄⋊C₈

—

149

#103

—

150

#103

—

151

#102

—

152

C₂²⋊C₈

—

153

C₄×C₈

C₂×D₄₇

yes

characteristic

154

#41

—

155

#41

—

188

—

156

C₂×Q₈

—

157

C₂×Q₈

—

158

C₂×Q₈

—

159

C₂×Q₈

—

188

—

160

C₂×Q₈

C₂²×D₄₇

yes

—

161

C₂×D₄

—

162

C₂×D₄

—

163

C₂×D₄

—

164

C₂×D₄

C₂²×D₄₇

yes

—

165

C₂²×C₄

—

166

C₂²×C₄

—

167

C₂²×C₄

—

168

Q₁₆

—

169

Q₁₆

—

170

Q₁₆

—

171

SD₁₆

—

172

SD₁₆

—

173

D₈

—

174

M₁₆

—

175

C₂×C₈

—

176

C₂×C₈

C₂²×D₄₇

yes

characteristic

177

C₂×C₈

C₂²×D₄₇

yes

characteristic

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₄⋊C₄

—

182

C₂²⋊C₄

—

183

C₂²⋊C₄

—

184

C₂²⋊C₄

—

185

C₂²⋊C₄

—

186

C₂²⋊C₄

—

187

C₄²

—

188

C₄²

C₂²×D₄₇

yes

characteristic

189

C₂³

—

190

C₂³

—

191

Q₈

—

192

Q₈

—

193

Q₈

—

194

Q₈

—

195

Q₈

—

188

—

196

D₄

—

197

D₄

—

198

D₄

—

188

—

199

D₄

—

188

—

200

D₄

—

188

—

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

—

188

—

209

C₂×C₄

D₄×D₄₇

yes

characteristic

210

C₂×C₄

D₄×D₄₇

yes

characteristic

211

C₂×C₄

C₂³×D₄₇

yes

characteristic

212

C₈

—

213

C₈

—

214

C₈

D₄×D₄₇

yes

—

215

C₂²

—

216

C₂²

—

217

C₂²

—

218

C₂²

—

219

C₂²

—

220

C₂²

—

221

C₂²

C₂×D₄×D₄₇

yes

characteristic

222

C₄

—

223

C₄

—

224

C₄

—

225

C₄

—

226

C₄

—

227

C₄

—

188

—

228

C₄

C₂×D₄×D₄₇

yes

characteristic

229

C₄

#13094069

yes

characteristic

230

C₂

—

231

C₂

—

188

—

232

C₂

#15689758

yes

characteristic

233

C₂

#15689920

yes

characteristic

234

C₂

#15689937

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₇
Fitting	C₄₇×#495	C₂
socle	C₂²×C₄₇	C₂²×D₄
hypercenter	#495	D₄₇
hypocenter	C₄₇	#3277
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #495

subgroup

G/H

center

C₂²

C₂×D₄×D₄₇

commutator

C₂×C₄×C₄₇

C₂⁴

Frattini

C₂×C₄

C₂³×D₄₇

Fitting

C₄₇×#495

C₂

socle

C₂²×C₄₇

C₂²×D₄

D₄₇

C₄₇

G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #495

N	H ≅ G/N	type
1. C₂×#13094053	C₂	semidirect
2. #15689781	C₂	semidirect
3. #15689366	C₂	semidirect
4. #15689342	C₂	semidirect
5. #15689277	C₂	semidirect
6. #15689265	C₂	semidirect
7. C₄×Dic₁₈₈	C₂	semidirect
8. #15689202	C₂	semidirect
9. C₄₇×#495	C₂	semidirect
69. Dic₁₈₈	D₄	semidirect
120. #495	D₄₇	semidirect
127. C₄₇	#3277	semidirect

H ≅ G/N

type

1. C₂×#13094053

C₂

semidirect

2. #15689781

C₂

semidirect

3. #15689366

C₂

semidirect

4. #15689342

C₂

semidirect

5. #15689277

C₂

semidirect

6. #15689265

C₂

semidirect

7. C₄×Dic₁₈₈

C₂

semidirect

8. #15689202

C₂

semidirect

9. C₄₇×#495

C₂

semidirect

69. Dic₁₈₈

D₄

semidirect

120. #495

D₄₇

semidirect

127. C₄₇

#3277

semidirect

Subgroups — #20255043

Conjugacy classes of subgroups

Complements