Group #19145516 — subgroups

Subgroups — #19145516

Order 5504.

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

normal subgroups only

This group has 428 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	#14583447	C₂	1	1	yes	maximal, characteristic
2	C₄⋊Q₈×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#14583271	C₂	1	1	yes	maximal, characteristic, complemented
4	#14583250	C₂	1	1	yes	maximal, characteristic, complemented
5	#14583249	C₂	1	1	yes	maximal, characteristic, complemented
6	#14583102	C₂	1	4	yes	maximal, complemented
7	#14583036	C₂	1	4	yes	maximal, complemented
8	#14582950	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₃×#492	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#10621900	—	2	1	no	—
11	C₂×Q₈×D₄₃	C₂²	1	2	yes	—
12	C₂×#10621883	C₂²	1	4	yes	—
13	#13063325	C₂²	1	1	yes	characteristic
14	#13063325	C₂²	1	1	yes	characteristic
15	#13063324	—	2	1	no	—
16	#13063324	—	2	1	no	—
17	#13063323	C₂²	1	2	yes	—
18	#13063312	—	2	1	no	—
19	#13063296	—	2	1	no	—
20	#13063296	C₂²	1	2	yes	—
21	D₄×Dic₄₃	—	2	1	no	—
22	D₄×Dic₄₃	C₂²	1	2	yes	—
23	C₄⋊C₄×D₄₃	—	2	1	no	—
24	C₄⋊C₄×D₄₃	—	2	1	no	—
25	C₄²×D₄₃	C₂²	1	1	yes	characteristic
26	Dic₄₃⋊C₈	C₂²	1	2	yes	—
27	#13063250	C₂²	1	4	yes	—
28	#13063249	C₂²	1	4	yes	—
29	(C₂×D₄₃)⋊C₈	C₂²	1	2	yes	—
30	C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
31	C₂×SD₁₆×C₄₃	C₂²	1	4	yes	—
32	C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
33	#127×C₄₃	C₂²	1	1	yes	characteristic
34	C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
35	C₂×Q₈×C₄₃	C₂³	1	2	yes	—
36	C₂×D₄×C₄₃	—	2	1	no	—
37	C₂×D₄×C₄₃	—	2	1	no	—
38	C₂×D₄×C₄₃	C₂³	1	2	yes	—
39	C₂×C₂²⋊D₄₃	—	2	2	no	—
40	C₂²×Dic₄₃	—	2	2	no	—
41	Q₈×D₄₃	—	4	4	no	—
42	#10621900	—	4	4	no	—
43	C₂×C₄×D₄₃	—	2	2	no	—
44	C₂×C₄×D₄₃	D₄	1	1	yes	characteristic
45	C₂×C₄×D₄₃	D₄	1	1	yes	characteristic
46	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
47	C₂×Dic₈₆	—	2	1	no	—
48	C₂×Dic₈₆	—	2	2	no	—
49	C₂×Dic₈₆	C₂³	1	2	yes	—
50	SD₁₆×C₄₃	—	4	4	no	—
51	C₂×C₈×C₄₃	C₂³	1	2	yes	—
52	C₄⋊C₄×C₄₃	—	2	1	no	—
53	C₄⋊C₄×C₄₃	—	2	1	no	—
54	C₄²×C₄₃	C₂³	1	1	yes	characteristic
55	C₂²⋊Dic₄₃	—	2	2	no	—
56	C₂²⋊Dic₄₃	—	2	2	no	—
57	#10621883	—	4	4	no	—
58	C₄⋊Dic₄₃	—	2	1	no	—
59	C₄⋊Dic₄₃	—	2	1	no	—
60	C₄⋊Dic₄₃	—	2	1	no	—
61	C₄⋊Dic₄₃	C₂³	1	2	yes	—
62	Dic₄₃⋊C₄	—	2	2	no	—
63	Dic₄₃⋊C₄	—	2	2	no	—
64	C₄×Dic₄₃	D₄	1	1	yes	characteristic
65	C₄×Dic₄₃	D₄	1	1	yes	characteristic
66	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
67	C₂×C₄₃⋊C₈	C₂³	1	2	yes	—
68	C₂³×C₄₃	—	2	2	no	—
69	C₂²×D₄₃	C₂×D₄	1	1	yes	characteristic
70	Q₈×C₄₃	—	2	4	no	—
71	D₄×C₄₃	—	2	4	no	—
72	D₄×C₄₃	—	4	2	no	—
73	D₄×C₄₃	—	4	2	no	—
74	C₂×C₄×C₄₃	—	2	2	no	—
75	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
76	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
77	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
78	C₂²⋊D₄₃	—	4	4	no	—
79	C₂×Dic₄₃	—	2	2	no	—
80	C₂×Dic₄₃	—	2	2	no	—
81	C₂×Dic₄₃	—	4	4	no	—
82	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
83	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
84	C₂×Dic₄₃	C₂×D₄	1	1	yes	characteristic
85	C₄×D₄₃	—	2	2	no	—
86	C₄×D₄₃	—	2	2	no	—
87	C₄×D₄₃	—	4	4	no	—
88	C₄×D₄₃	SD₁₆	1	4	yes	complemented
89	Dic₈₆	—	2	4	no	—
90	Dic₈₆	—	4	4	no	—
91	Dic₈₆	—	4	2	no	—
92	C₈×C₄₃	—	2	2	no	—
93	C₄₃⋊C₈	—	2	2	no	—
94	C₂²×C₄₃	—	4	2	no	—
95	C₂²×C₄₃	—	4	2	no	—
96	C₂²×C₄₃	—	4	2	no	—
97	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
98	C₂×D₄₃	—	2	1	no	—
99	C₂×D₄₃	—	2	1	no	—
100	C₂×D₄₃	C₂×SD₁₆	1	2	yes	—
101	C₄×C₄₃	—	4	2	no	—
102	C₄×C₄₃	C₂×SD₁₆	1	2	yes	—
103	C₄×C₄₃	#137	1	2	yes	—
104	C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
105	Dic₄₃	—	2	1	no	—
106	Dic₄₃	—	2	1	no	—
107	Dic₄₃	—	4	2	no	—
108	Dic₄₃	—	4	2	no	—
109	Dic₄₃	C₂×SD₁₆	1	2	yes	—
110	#3206	—	43	1	no	maximal, Sylow
111	C₂×C₄₃	—	8	2	no	—
112	C₂×C₄₃	#535	1	1	yes	characteristic
113	C₂×C₄₃	C₂²×SD₁₆	1	1	yes	characteristic
114	C₂×C₄₃	C₂×#137	1	1	yes	characteristic
115	D₄₃	—	2	2	no	—
116	#532	—	43	1	no	—
117	C₂×C₄⋊Q₈	—	43	1	no	—
118	#492	—	43	1	no	—
119	#492	D₄₃	1	1	yes	characteristic, complemented
120	#487	—	43	1	no	—
121	#487	—	43	1	no	—
122	#461	—	43	4	no	—
123	#448	—	43	4	no	—
124	#431	—	43	1	no	—
125	C₄₃	#3206	1	1	yes	characteristic, complemented, Sylow
126	C₂×#41	—	86	1	no	—
127	C₂²×Q₈	—	43	2	no	—
128	C₂×SD₁₆	—	43	4	no	—
129	C₂×SD₁₆	C₂×D₄₃	1	4	yes	—
130	C₄⋊Q₈	—	43	2	no	—
131	C₄⋊Q₈	—	43	1	no	—
132	C₄⋊Q₈	—	43	1	no	—
133	C₄⋊Q₈	—	86	1	no	—
134	C₄⋊Q₈	—	86	1	no	—
135	C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
136	#127	C₂×D₄₃	1	1	yes	characteristic
137	#124	—	86	1	no	—
138	#121	—	43	2	no	—
139	#121	—	86	1	no	—
140	C₄×D₄	—	43	2	no	—
141	C₄×D₄	—	86	1	no	—
142	C₂×C₄⋊C₄	—	86	1	no	—
143	C₂×C₄⋊C₄	—	86	1	no	—
144	C₂×C₄²	—	43	1	no	—
145	C₄⋊C₈	—	43	2	no	—
146	#103	—	43	4	no	—
147	#103	—	43	4	no	—
148	C₂²⋊C₈	—	43	2	no	—
149	C₄×C₈	—	43	1	no	—
150	C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
151	#41	—	172	4	no	—
152	C₂×Q₈	—	43	2	no	—
153	C₂×Q₈	—	86	2	no	—
154	C₂×Q₈	—	86	1	no	—
155	C₂×Q₈	—	172	4	no	—
156	C₂×Q₈	C₂²×D₄₃	1	2	yes	—
157	C₂×D₄	—	2	1	no	—
158	C₂×D₄	—	2	1	no	—
159	C₂×D₄	—	86	2	no	—
160	C₂×D₄	C₂²×D₄₃	1	2	yes	—
161	C₂²×C₄	—	43	1	no	—
162	C₂²×C₄	—	43	1	no	—
163	C₂²×C₄	—	43	1	no	—
164	C₂²×C₄	—	86	2	no	—
165	C₂²×C₄	—	86	2	no	—
166	SD₁₆	—	4	4	no	—
167	SD₁₆	—	172	4	no	—
168	C₂×C₈	—	43	2	no	—
169	C₂×C₈	C₂²×D₄₃	1	2	yes	—
170	C₄⋊C₄	—	2	1	no	—
171	C₄⋊C₄	—	2	1	no	—
172	C₄⋊C₄	—	43	2	no	—
173	C₄⋊C₄	—	86	2	no	—
174	C₄⋊C₄	—	86	2	no	—
175	C₄⋊C₄	—	86	1	no	—
176	C₄⋊C₄	—	86	1	no	—
177	C₄⋊C₄	—	86	1	no	—
178	C₂²⋊C₄	—	86	2	no	—
179	C₂²⋊C₄	—	86	2	no	—
180	C₄²	—	43	1	no	—
181	C₄²	—	43	1	no	—
182	C₄²	—	43	1	no	—
183	C₄²	C₂²×D₄₃	1	1	yes	characteristic
184	C₂³	—	2	2	no	—
185	C₂³	—	43	1	no	—
186	Q₈	—	2	4	no	—
187	Q₈	—	86	4	no	—
188	Q₈	—	172	4	no	—
189	Q₈	—	172	2	no	—
190	D₄	—	2	4	no	—
191	D₄	—	4	2	no	—
192	D₄	—	4	2	no	—
193	D₄	—	172	4	no	—
194	C₂×C₄	—	2	2	no	—
195	C₂×C₄	—	43	1	no	—
196	C₂×C₄	—	43	4	no	—
197	C₂×C₄	—	43	1	no	—
198	C₂×C₄	—	43	1	no	—
199	C₂×C₄	—	86	2	no	—
200	C₂×C₄	—	86	2	no	—
201	C₂×C₄	—	86	2	no	—
202	C₂×C₄	—	86	2	no	—
203	C₂×C₄	—	172	4	no	—
204	C₂×C₄	—	172	4	no	—
205	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
206	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
207	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
208	C₈	—	2	2	no	—
209	C₈	—	86	2	no	—
210	C₂²	—	4	2	no	—
211	C₂²	—	4	2	no	—
212	C₂²	—	4	2	no	—
213	C₂²	—	43	2	no	—
214	C₂²	—	86	1	no	—
215	C₂²	—	86	1	no	—
216	C₂²	C₂×D₄×D₄₃	1	1	yes	characteristic
217	C₄	—	4	2	no	—
218	C₄	—	43	2	no	—
219	C₄	—	86	1	no	—
220	C₄	—	86	1	no	—
221	C₄	—	172	2	no	—
222	C₄	—	172	2	no	—
223	C₄	SD₁₆×D₄₃	1	2	yes	—
224	C₄	#13063354	1	2	yes	—
225	C₄	#13063370	1	2	yes	—
226	C₂	—	8	2	no	—
227	C₂	—	86	2	no	—
228	C₂	#14583462	1	1	yes	characteristic
229	C₂	C₂×SD₁₆×D₄₃	1	1	yes	characteristic
230	C₂	C₂×#13063354	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14583447

C₂

yes

maximal, characteristic

C₄⋊Q₈×D₄₃

C₂

yes

maximal, characteristic, complemented

#14583271

C₂

yes

maximal, characteristic, complemented

#14583250

C₂

yes

maximal, characteristic, complemented

#14583249

C₂

yes

maximal, characteristic, complemented

#14583102

C₂

yes

maximal, complemented

#14583036

C₂

yes

maximal, complemented

#14582950

C₂

yes

maximal, characteristic, complemented

C₄₃×#492

C₂

yes

maximal, characteristic, complemented

C₂×#10621900

—

C₂×Q₈×D₄₃

C₂²

yes

—

C₂×#10621883

C₂²

yes

—

#13063325

C₂²

yes

characteristic

#13063325

C₂²

yes

—

—

C₂²

yes

—

#13063312

—

#13063296

—

#13063296

C₂²

yes

—

D₄×Dic₄₃

—

D₄×Dic₄₃

C₂²

yes

—

C₄⋊C₄×D₄₃

—

C₄⋊C₄×D₄₃

—

C₄²×D₄₃

C₂²

yes

characteristic

Dic₄₃⋊C₈

C₂²

yes

—

#13063250

C₂²

yes

—

#13063249

C₂²

yes

—

(C₂×D₄₃)⋊C₈

C₂²

yes

—

C₄×C₄₃⋊C₈

C₂²

yes

characteristic

C₂×SD₁₆×C₄₃

C₂²

yes

—

C₄⋊Q₈×C₄₃

C₂²

yes

characteristic

#127×C₄₃

C₂²

yes

characteristic

C₄×C₈×C₄₃

C₂²

yes

characteristic

C₂×Q₈×C₄₃

C₂³

yes

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

C₂³

yes

—

C₂×C₂²⋊D₄₃

—

C₂²×Dic₄₃

—

Q₈×D₄₃

—

#10621900

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

D₄

yes

characteristic

C₂×C₄×D₄₃

D₄

yes

characteristic

C₂×C₄×D₄₃

C₂³

yes

characteristic

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

C₂³

yes

—

SD₁₆×C₄₃

—

C₂×C₈×C₄₃

C₂³

yes

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

—

C₄²×C₄₃

C₂³

yes

characteristic

C₂²⋊Dic₄₃

—

C₂²⋊Dic₄₃

—

#10621883

—

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

C₂³

yes

—

Dic₄₃⋊C₄

—

Dic₄₃⋊C₄

—

C₄×Dic₄₃

D₄

yes

characteristic

C₄×Dic₄₃

D₄

yes

characteristic

C₄×Dic₄₃

C₂³

yes

characteristic

C₂×C₄₃⋊C₈

C₂³

yes

—

C₂³×C₄₃

—

C₂²×D₄₃

C₂×D₄

yes

characteristic

Q₈×C₄₃

—

D₄×C₄₃

—

D₄×C₄₃

—

D₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂×C₄×C₄₃

C₂⁴

yes

characteristic

C₂²⋊D₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

C₂×D₄

yes

characteristic

C₂×Dic₄₃

C₂×D₄

yes

characteristic

C₂×Dic₄₃

C₂×D₄

yes

characteristic

C₄×D₄₃

—

C₄×D₄₃

—

C₄×D₄₃

—

C₄×D₄₃

SD₁₆

yes

complemented

Dic₈₆

—

Dic₈₆

—

Dic₈₆

—

C₈×C₄₃

—

C₄₃⋊C₈

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

C₂²×D₄

yes

characteristic

C₂×D₄₃

—

C₂×D₄₃

—

100

C₂×D₄₃

C₂×SD₁₆

yes

—

101

C₄×C₄₃

—

102

C₄×C₄₃

C₂×SD₁₆

yes

—

103

C₄×C₄₃

#137

yes

—

104

C₄×C₄₃

H(5,𝔽₂)

yes

—

105

Dic₄₃

—

106

Dic₄₃

—

107

Dic₄₃

—

108

Dic₄₃

—

109

Dic₄₃

C₂×SD₁₆

yes

—

110

#3206

—

maximal, Sylow

111

C₂×C₄₃

—

112

C₂×C₄₃

#535

yes

characteristic

113

C₂×C₄₃

C₂²×SD₁₆

yes

characteristic

114

C₂×C₄₃

C₂×#137

yes

characteristic

115

D₄₃

—

116

#532

—

117

C₂×C₄⋊Q₈

—

118

#492

—

119

#492

D₄₃

yes

characteristic, complemented

120

#487

—

121

#487

—

122

#461

—

123

#448

—

124

#431

—

125

C₄₃

#3206

yes

characteristic, complemented, Sylow

126

C₂×#41

—

127

C₂²×Q₈

—

128

C₂×SD₁₆

—

129

C₂×SD₁₆

C₂×D₄₃

yes

—

130

C₄⋊Q₈

—

131

C₄⋊Q₈

—

132

C₄⋊Q₈

—

133

C₄⋊Q₈

—

134

C₄⋊Q₈

—

135

C₄⋊Q₈

C₂×D₄₃

yes

characteristic

136

#127

C₂×D₄₃

yes

characteristic

137

#124

—

138

#121

—

139

#121

—

140

C₄×D₄

—

141

C₄×D₄

—

142

C₂×C₄⋊C₄

—

143

C₂×C₄⋊C₄

—

144

C₂×C₄²

—

145

C₄⋊C₈

—

146

#103

—

147

#103

—

148

C₂²⋊C₈

—

149

C₄×C₈

—

150

C₄×C₈

C₂×D₄₃

yes

characteristic

151

#41

—

172

—

152

C₂×Q₈

—

153

C₂×Q₈

—

154

C₂×Q₈

—

155

C₂×Q₈

—

172

—

156

C₂×Q₈

C₂²×D₄₃

yes

—

157

C₂×D₄

—

158

C₂×D₄

—

159

C₂×D₄

—

160

C₂×D₄

C₂²×D₄₃

yes

—

161

C₂²×C₄

—

162

C₂²×C₄

—

163

C₂²×C₄

—

164

C₂²×C₄

—

165

C₂²×C₄

—

166

SD₁₆

—

167

SD₁₆

—

172

—

168

C₂×C₈

—

169

C₂×C₈

C₂²×D₄₃

yes

—

170

C₄⋊C₄

—

171

C₄⋊C₄

—

172

C₄⋊C₄

—

173

C₄⋊C₄

—

174

C₄⋊C₄

—

175

C₄⋊C₄

—

176

C₄⋊C₄

—

177

C₄⋊C₄

—

178

C₂²⋊C₄

—

179

C₂²⋊C₄

—

180

C₄²

—

181

C₄²

—

182

C₄²

—

183

C₄²

C₂²×D₄₃

yes

characteristic

184

C₂³

—

185

C₂³

—

186

Q₈

—

187

Q₈

—

188

Q₈

—

172

—

189

Q₈

—

172

—

190

D₄

—

191

D₄

—

192

D₄

—

193

D₄

—

172

—

194

C₂×C₄

—

195

C₂×C₄

—

196

C₂×C₄

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

172

—

204

C₂×C₄

—

172

—

205

C₂×C₄

D₄×D₄₃

yes

characteristic

206

C₂×C₄

D₄×D₄₃

yes

characteristic

207

C₂×C₄

C₂³×D₄₃

yes

characteristic

208

C₈

—

209

C₈

—

210

C₂²

—

211

C₂²

—

212

C₂²

—

213

C₂²

—

214

C₂²

—

215

C₂²

—

216

C₂²

C₂×D₄×D₄₃

yes

characteristic

217

C₄

—

218

C₄

—

219

C₄

—

220

C₄

—

221

C₄

—

172

—

222

C₄

—

172

—

223

C₄

SD₁₆×D₄₃

yes

—

224

C₄

#13063354

yes

—

225

C₄

#13063370

yes

—

226

C₂

—

227

C₂

—

228

C₂

#14583462

yes

characteristic

229

C₂

C₂×SD₁₆×D₄₃

yes

characteristic

230

C₂

C₂×#13063354

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₃
Fitting	C₄₃×#492	C₂
socle	C₂²×C₄₃	C₂²×D₄
hypercenter	#492	D₄₃
hypocenter	C₄₃	#3206
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #492

subgroup

G/H

center

C₂²

C₂×D₄×D₄₃

commutator

C₂×C₄×C₄₃

C₂⁴

Frattini

C₂×C₄

C₂³×D₄₃

Fitting

C₄₃×#492

C₂

socle

C₂²×C₄₃

C₂²×D₄

D₄₃

C₄₃

G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #492

N	H ≅ G/N	type
2. C₄⋊Q₈×D₄₃	C₂	semidirect
3. #14583271	C₂	semidirect
4. #14583250	C₂	semidirect
5. #14583249	C₂	semidirect
6. #14583102	C₂	semidirect
7. #14583036	C₂	semidirect
8. #14582950	C₂	semidirect
9. C₄₃×#492	C₂	semidirect
88. C₄×D₄₃	SD₁₆	semidirect
119. #492	D₄₃	semidirect
125. C₄₃	#3206	semidirect

H ≅ G/N

type

2. C₄⋊Q₈×D₄₃

C₂

semidirect

3. #14583271

C₂

semidirect

4. #14583250

C₂

semidirect

5. #14583249

C₂

semidirect

6. #14583102

C₂

semidirect

7. #14583036

C₂

semidirect

8. #14582950

C₂

semidirect

9. C₄₃×#492

C₂

semidirect

88. C₄×D₄₃

SD₁₆

semidirect

119. #492

D₄₃

semidirect

125. C₄₃

#3206

semidirect

Subgroups — #19145516

Conjugacy classes of subgroups

Complements