Group #21435179 — subgroups

Subgroups — #21435179

Order 7552.

364 conjugacy classes of subgroups; only the 117 normal subgroups are shown.

normal subgroups only

This group has 364 conjugacy classes of subgroups — too many to draw. Only its 117 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	#16838014	C₂	1	1	yes	maximal, characteristic, complemented
2	#16837797	C₂	1	1	yes	maximal, characteristic, complemented
3	#16837781	C₂	1	1	yes	maximal, characteristic, complemented
4	#16837770	C₂	1	1	yes	maximal, characteristic, complemented
5	#16837756	C₂	1	1	yes	maximal, characteristic, complemented
6	#16837621	C₂	1	2	yes	maximal, complemented
7	#16837609	C₂	1	2	yes	maximal, complemented
8	#16837564	C₂	1	2	yes	maximal
9	#16837558	C₂	1	2	yes	maximal, complemented
10	#16837463	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#536	C₂	1	1	yes	maximal, characteristic
12	C₂×#11745672	C₂²	1	2	yes	—
13	C₂×#11745672	C₂²	1	2	yes	—
14	C₂×#11745672	C₂²	1	2	yes	—
15	C₂×#11745670	C₂²	1	2	yes	—
16	#14273727	C₂²	1	1	yes	characteristic
17	#14273720	—	2	2	no	—
18	#14273719	C₂²	1	1	yes	characteristic
19	#14273717	—	2	2	no	—
20	#14273706	C₂²	1	2	yes	—
21	C₄×Dic₁₁₈	C₂²	1	2	yes	—
22	C₄⋊(C₅₉⋊C₈)	C₂²	1	2	yes	—
23	#14273651	C₂²	1	2	yes	—
24	#14273651	C₂²	1	2	yes	—
25	#14273651	C₂²	1	2	yes	—
26	#14273648	C₂²	1	2	yes	—
27	C₂²⋊(C₅₉⋊C₈)	C₂²	1	2	yes	—
28	#14273638	C₂²	1	1	yes	characteristic
29	C₄×C₅₉⋊C₈	C₂²	1	1	yes	characteristic
30	C₂×#41×C₅₉	C₂²	1	1	yes	characteristic
31	C₂²×Q₈×C₅₉	C₂²	1	1	yes	characteristic
32	C₄⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
33	C₄⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
34	#124×C₅₉	C₂²	1	1	yes	characteristic
35	#124×C₅₉	C₂²	1	1	yes	characteristic
36	#123×C₅₉	—	2	2	no	—
37	C₂²⋊Q₈×C₅₉	—	2	2	no	—
38	#117×C₅₉	C₂²	1	1	yes	characteristic
39	#41×C₅₉	—	4	2	no	—
40	C₂×Q₈×C₅₉	—	2	1	no	—
41	C₂×Q₈×C₅₉	—	4	2	no	—
42	C₂×Q₈×C₅₉	C₂³	1	1	yes	characteristic
43	C₂×Q₈×C₅₉	C₂³	1	1	yes	characteristic
44	C₂×Q₈×C₅₉	C₂³	1	1	yes	characteristic
45	C₂×D₄×C₅₉	—	2	1	no	—
46	C₂×D₄×C₅₉	C₂³	1	1	yes	characteristic
47	C₂²×C₄×C₅₉	—	2	1	no	—
48	C₂²×C₄×C₅₉	—	2	1	no	—
49	C₂²×C₄×C₅₉	C₂³	1	1	yes	characteristic
50	C₂×Dic₁₁₈	C₂³	1	2	yes	—
51	C₄⋊C₄×C₅₉	—	2	2	no	—
52	C₄⋊C₄×C₅₉	—	2	2	no	—
53	C₄⋊C₄×C₅₉	D₄	1	2	yes	—
54	C₂²⋊C₄×C₅₉	—	2	2	no	—
55	C₂²⋊C₄×C₅₉	—	2	2	no	—
56	C₂²⋊C₄×C₅₉	D₄	1	2	yes	—
57	C₄²×C₅₉	C₂³	1	1	yes	characteristic
58	C₄²×C₅₉	C₂³	1	1	yes	characteristic
59	C₂²⋊Dic₅₉	—	2	2	no	—
60	#11745672	—	4	2	no	—
61	#11745672	—	4	2	no	—
62	#11745672	—	4	2	no	—
63	#11745670	—	4	2	no	—
64	C₄⋊Dic₅₉	—	2	2	no	—
65	C₄⋊Dic₅₉	C₂³	1	2	yes	—
66	Dic₅₉⋊C₄	—	2	2	no	—
67	Dic₅₉⋊C₄	—	2	2	no	—
68	Dic₅₉⋊C₄	—	2	2	no	—
69	C₄×Dic₅₉	—	2	2	no	—
70	C₂×C₅₉⋊C₈	C₂³	1	2	yes	—
71	C₂×C₅₉⋊C₈	C₂³	1	2	yes	—
72	C₂³×C₅₉	—	2	1	no	—
73	C₂³×C₅₉	C₂×D₄	1	1	yes	characteristic
74	Q₈×C₅₉	—	2	2	no	—
75	Q₈×C₅₉	—	2	2	no	—
76	Q₈×C₅₉	—	2	2	no	—
77	Q₈×C₅₉	—	4	2	no	—
78	D₄×C₅₉	—	2	2	no	—
79	D₄×C₅₉	—	4	2	no	—
80	C₂×C₄×C₅₉	—	2	2	no	—
81	C₂×C₄×C₅₉	—	2	1	no	—
82	C₂×C₄×C₅₉	—	2	1	no	—
83	C₂×C₄×C₅₉	—	2	1	no	—
84	C₂×C₄×C₅₉	—	4	2	no	—
85	C₂×C₄×C₅₉	—	4	2	no	—
86	C₂×C₄×C₅₉	C₂×D₄	1	2	yes	—
87	C₂×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
88	C₂×C₄×C₅₉	C₂×D₄	1	2	yes	—
89	C₂×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
90	C₂×Dic₅₉	—	2	2	no	—
91	C₂×Dic₅₉	—	2	2	no	—
92	Dic₁₁₈	—	2	2	no	—
93	Dic₁₁₈	—	2	2	no	—
94	C₅₉⋊C₈	—	2	2	no	—
95	C₅₉⋊C₈	—	2	2	no	—
96	C₂²×C₅₉	—	2	1	no	—
97	C₂²×C₅₉	—	2	2	no	—
98	C₂²×C₅₉	—	4	1	no	—
99	C₂²×C₅₉	—	4	2	no	—
100	C₂²×C₅₉	C₂²×D₄	1	1	yes	characteristic
101	C₄×C₅₉	—	2	1	no	—
102	C₄×C₅₉	—	2	2	no	—
103	C₄×C₅₉	—	2	2	no	—
104	C₄×C₅₉	—	4	1	no	—
105	C₄×C₅₉	—	4	1	no	—
106	C₄×C₅₉	—	4	1	no	—
107	C₄×C₅₉	H(5,𝔽₂)	1	2	yes	—
108	Dic₅₉	—	4	2	no	—
109	Dic₅₉	—	4	2	no	—
110	#3223	—	59	1	no	maximal, Sylow
111	C₂×C₅₉	—	4	1	no	—
112	C₂×C₅₉	—	8	1	no	—
113	C₂×C₅₉	#535	1	1	yes	characteristic
114	C₂×C₅₉	#578	1	2	yes	—
115	#541	—	59	1	no	—
116	#536	D₅₉	1	1	yes	characteristic
117	#497	—	59	1	no	—
118	#494	—	59	1	no	—
119	#491	—	59	1	no	—
120	#488	—	59	1	no	—
121	#464	—	59	2	no	—
122	#462	—	59	2	no	—
123	#452	—	59	2	no	—
124	#451	—	59	2	no	—
125	#433	—	59	1	no	—
126	C₅₉	#3223	1	1	yes	characteristic, complemented, Sylow
127	C₂×#41	C₂×D₅₉	1	1	yes	characteristic
128	C₂²×Q₈	C₂×D₅₉	1	1	yes	characteristic
129	C₂×Q₁₆	—	59	2	no	—
130	C₂×Q₁₆	—	59	2	no	—
131	C₂×Q₁₆	—	59	2	no	—
132	C₂×SD₁₆	—	59	2	no	—
133	C₄⋊Q₈	—	59	1	no	—
134	C₄⋊Q₈	C₂×D₅₉	1	1	yes	characteristic
135	C₄⋊Q₈	C₂×D₅₉	1	1	yes	characteristic
136	#126	—	118	2	no	—
137	#125	—	59	1	no	—
138	#125	—	118	2	no	—
139	#124	C₂×D₅₉	1	1	yes	characteristic
140	#124	C₂×D₅₉	1	1	yes	characteristic
141	#123	—	2	2	no	—
142	C₂²⋊Q₈	—	2	2	no	—
143	C₂²⋊Q₈	—	59	2	no	—
144	C₄×Q₈	—	59	2	no	—
145	#117	C₂×D₅₉	1	1	yes	characteristic
146	C₄⋊C₈	—	59	2	no	—
147	#103	—	59	2	no	—
148	#103	—	59	2	no	—
149	#103	—	59	2	no	—
150	#102	—	59	2	no	—
151	C₂²⋊C₈	—	59	2	no	—
152	#97	—	59	1	no	—
153	C₄×C₈	—	59	1	no	—
154	#41	—	4	2	no	—
155	C₂×Q₈	—	2	1	no	—
156	C₂×Q₈	—	4	2	no	—
157	C₂×Q₈	—	59	2	no	—
158	C₂×Q₈	C₂²×D₅₉	1	1	yes	characteristic
159	C₂×Q₈	C₂²×D₅₉	1	1	yes	characteristic
160	C₂×Q₈	C₂²×D₅₉	1	1	yes	characteristic
161	C₂×D₄	—	2	1	no	—
162	C₂×D₄	C₂²×D₅₉	1	1	yes	characteristic
163	C₂²×C₄	—	2	1	no	—
164	C₂²×C₄	—	2	1	no	—
165	C₂²×C₄	C₂²×D₅₉	1	1	yes	characteristic
166	Q₁₆	—	236	2	no	—
167	Q₁₆	—	236	2	no	—
168	Q₁₆	—	236	2	no	—
169	SD₁₆	—	236	2	no	—
170	C₂×C₈	—	59	2	no	—
171	C₂×C₈	—	59	2	no	—
172	C₄⋊C₄	—	2	2	no	—
173	C₄⋊C₄	—	2	2	no	—
174	C₄⋊C₄	—	59	2	no	—
175	C₄⋊C₄	—	118	2	no	—
176	C₄⋊C₄	—	118	2	no	—
177	C₄⋊C₄	—	118	2	no	—
178	C₄⋊C₄	—	118	2	no	—
179	C₄⋊C₄	C₂²⋊D₅₉	1	2	yes	—
180	C₂²⋊C₄	—	2	2	no	—
181	C₂²⋊C₄	—	2	2	no	—
182	C₂²⋊C₄	—	118	2	no	—
183	C₂²⋊C₄	C₂²⋊D₅₉	1	2	yes	—
184	C₄²	—	118	2	no	—
185	C₄²	C₂²×D₅₉	1	1	yes	characteristic
186	C₄²	C₂²×D₅₉	1	1	yes	characteristic
187	C₂³	—	2	1	no	—
188	C₂³	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
189	Q₈	—	2	2	no	—
190	Q₈	—	2	2	no	—
191	Q₈	—	2	2	no	—
192	Q₈	—	4	2	no	—
193	Q₈	—	118	2	no	—
194	Q₈	—	118	2	no	—
195	D₄	—	2	2	no	—
196	D₄	—	4	2	no	—
197	C₂×C₄	—	2	2	no	—
198	C₂×C₄	—	2	1	no	—
199	C₂×C₄	—	2	1	no	—
200	C₂×C₄	—	2	1	no	—
201	C₂×C₄	—	4	2	no	—
202	C₂×C₄	—	4	2	no	—
203	C₂×C₄	—	118	2	no	—
204	C₂×C₄	—	118	2	no	—
205	C₂×C₄	C₂×C₂²⋊D₅₉	1	2	yes	—
206	C₂×C₄	C₂×C₂²⋊D₅₉	1	2	yes	—
207	C₂×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
208	C₂×C₄	C₂³×D₅₉	1	1	yes	characteristic
209	C₈	—	118	2	no	—
210	C₈	—	118	2	no	—
211	C₂²	—	2	2	no	—
212	C₂²	—	2	1	no	—
213	C₂²	—	4	2	no	—
214	C₂²	—	4	1	no	—
215	C₂²	C₂²×C₂²⋊D₅₉	1	1	yes	characteristic
216	C₄	—	2	2	no	—
217	C₄	—	2	2	no	—
218	C₄	—	2	1	no	—
219	C₄	—	4	1	no	—
220	C₄	—	4	1	no	—
221	C₄	—	4	1	no	—
222	C₄	—	236	2	no	—
223	C₄	—	236	2	no	—
224	C₄	#14273772	1	2	yes	—
225	C₂	—	4	1	no	—
226	C₂	—	8	1	no	—
227	C₂	#16837969	1	1	yes	characteristic
228	C₂	#16838217	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

#16838014

C₂

yes

maximal, characteristic, complemented

#16837797

C₂

yes

maximal, characteristic, complemented

#16837781

C₂

yes

maximal, characteristic, complemented

#16837770

C₂

yes

maximal, characteristic, complemented

#16837756

C₂

yes

maximal, characteristic, complemented

#16837621

C₂

yes

maximal, complemented

#16837609

C₂

yes

maximal, complemented

#16837564

C₂

yes

maximal

#16837558

C₂

yes

maximal, complemented

#16837463

C₂

yes

maximal, characteristic, complemented

C₅₉×#536

C₂

yes

maximal, characteristic

C₂×#11745672

C₂²

yes

—

C₂×#11745672

C₂²

yes

—

C₂×#11745672

C₂²

yes

—

C₂×#11745670

C₂²

yes

—

#14273727

C₂²

yes

characteristic

#14273720

—

#14273719

C₂²

yes

characteristic

#14273717

—

#14273706

C₂²

yes

—

C₄×Dic₁₁₈

C₂²

yes

—

C₄⋊(C₅₉⋊C₈)

C₂²

yes

—

#14273651

C₂²

yes

—

#14273651

C₂²

yes

—

#14273651

C₂²

yes

—

#14273648

C₂²

yes

—

C₂²⋊(C₅₉⋊C₈)

C₂²

yes

—

#14273638

C₂²

yes

characteristic

C₄×C₅₉⋊C₈

C₂²

yes

characteristic

C₂×#41×C₅₉

C₂²

yes

characteristic

C₂²×Q₈×C₅₉

C₂²

yes

characteristic

C₄⋊Q₈×C₅₉

C₂²

yes

characteristic

C₄⋊Q₈×C₅₉

C₂²

yes

characteristic

#124×C₅₉

C₂²

yes

characteristic

#124×C₅₉

C₂²

yes

characteristic

#123×C₅₉

—

C₂²⋊Q₈×C₅₉

—

#117×C₅₉

C₂²

yes

characteristic

#41×C₅₉

—

C₂×Q₈×C₅₉

—

C₂×Q₈×C₅₉

—

C₂×Q₈×C₅₉

C₂³

yes

characteristic

C₂×Q₈×C₅₉

C₂³

yes

characteristic

C₂×Q₈×C₅₉

C₂³

yes

characteristic

C₂×D₄×C₅₉

—

C₂×D₄×C₅₉

C₂³

yes

characteristic

C₂²×C₄×C₅₉

—

C₂²×C₄×C₅₉

—

C₂²×C₄×C₅₉

C₂³

yes

characteristic

C₂×Dic₁₁₈

C₂³

yes

—

C₄⋊C₄×C₅₉

—

C₄⋊C₄×C₅₉

—

C₄⋊C₄×C₅₉

D₄

yes

—

C₂²⋊C₄×C₅₉

—

C₂²⋊C₄×C₅₉

—

C₂²⋊C₄×C₅₉

D₄

yes

—

C₄²×C₅₉

C₂³

yes

characteristic

C₄²×C₅₉

C₂³

yes

characteristic

C₂²⋊Dic₅₉

—

—

—

—

—

C₄⋊Dic₅₉

—

C₄⋊Dic₅₉

C₂³

yes

—

Dic₅₉⋊C₄

—

Dic₅₉⋊C₄

—

Dic₅₉⋊C₄

—

C₄×Dic₅₉

—

C₂×C₅₉⋊C₈

C₂³

yes

—

C₂×C₅₉⋊C₈

C₂³

yes

—

C₂³×C₅₉

—

C₂³×C₅₉

C₂×D₄

yes

characteristic

Q₈×C₅₉

—

Q₈×C₅₉

—

Q₈×C₅₉

—

Q₈×C₅₉

—

D₄×C₅₉

—

D₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

C₂×D₄

yes

—

C₂×C₄×C₅₉

C₂×D₄

yes

characteristic

C₂×C₄×C₅₉

C₂×D₄

yes

—

C₂×C₄×C₅₉

C₂⁴

yes

characteristic

C₂×Dic₅₉

—

C₂×Dic₅₉

—

Dic₁₁₈

—

Dic₁₁₈

—

C₅₉⋊C₈

—

C₅₉⋊C₈

—

C₂²×C₅₉

—

C₂²×C₅₉

—

C₂²×C₅₉

—

C₂²×C₅₉

—

100

C₂²×C₅₉

C₂²×D₄

yes

characteristic

101

C₄×C₅₉

—

102

C₄×C₅₉

—

103

C₄×C₅₉

—

104

C₄×C₅₉

—

105

C₄×C₅₉

—

106

C₄×C₅₉

—

107

C₄×C₅₉

H(5,𝔽₂)

yes

—

108

Dic₅₉

—

109

Dic₅₉

—

110

#3223

—

maximal, Sylow

111

C₂×C₅₉

—

112

C₂×C₅₉

—

113

C₂×C₅₉

#535

yes

characteristic

114

C₂×C₅₉

#578

yes

—

115

#541

—

116

#536

D₅₉

yes

characteristic

117

#497

—

118

#494

—

119

#491

—

120

#488

—

121

#464

—

122

#462

—

123

#452

—

124

#451

—

125

#433

—

126

C₅₉

#3223

yes

characteristic, complemented, Sylow

127

C₂×#41

C₂×D₅₉

yes

characteristic

128

C₂²×Q₈

C₂×D₅₉

yes

characteristic

129

C₂×Q₁₆

—

130

C₂×Q₁₆

—

131

C₂×Q₁₆

—

132

C₂×SD₁₆

—

133

C₄⋊Q₈

—

134

C₄⋊Q₈

C₂×D₅₉

yes

characteristic

135

C₄⋊Q₈

C₂×D₅₉

yes

characteristic

136

#126

—

118

—

137

#125

—

138

#125

—

118

—

139

#124

C₂×D₅₉

yes

characteristic

140

#124

C₂×D₅₉

yes

characteristic

141

#123

—

142

C₂²⋊Q₈

—

143

C₂²⋊Q₈

—

144

C₄×Q₈

—

145

#117

C₂×D₅₉

yes

characteristic

146

C₄⋊C₈

—

147

#103

—

148

#103

—

149

#103

—

150

#102

—

151

C₂²⋊C₈

—

152

#97

—

153

C₄×C₈

—

154

#41

—

155

C₂×Q₈

—

156

C₂×Q₈

—

157

C₂×Q₈

—

158

C₂×Q₈

C₂²×D₅₉

yes

characteristic

159

C₂×Q₈

C₂²×D₅₉

yes

characteristic

160

C₂×Q₈

C₂²×D₅₉

yes

characteristic

161

C₂×D₄

—

162

C₂×D₄

C₂²×D₅₉

yes

characteristic

163

C₂²×C₄

—

164

C₂²×C₄

—

165

C₂²×C₄

C₂²×D₅₉

yes

characteristic

166

Q₁₆

—

236

—

167

Q₁₆

—

236

—

168

Q₁₆

—

236

—

169

SD₁₆

—

236

—

170

C₂×C₈

—

171

C₂×C₈

—

172

C₄⋊C₄

—

173

C₄⋊C₄

—

174

C₄⋊C₄

—

175

C₄⋊C₄

—

118

—

176

C₄⋊C₄

—

118

—

177

C₄⋊C₄

—

118

—

178

C₄⋊C₄

—

118

—

179

C₄⋊C₄

C₂²⋊D₅₉

yes

—

180

C₂²⋊C₄

—

181

C₂²⋊C₄

—

182

C₂²⋊C₄

—

118

—

183

C₂²⋊C₄

C₂²⋊D₅₉

yes

—

184

C₄²

—

118

—

185

C₄²

C₂²×D₅₉

yes

characteristic

186

C₄²

C₂²×D₅₉

yes

characteristic

187

C₂³

—

188

C₂³

C₂×C₂²⋊D₅₉

yes

characteristic

189

Q₈

—

190

Q₈

—

191

Q₈

—

192

Q₈

—

193

Q₈

—

118

—

194

Q₈

—

118

—

195

D₄

—

196

D₄

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

118

—

204

C₂×C₄

—

118

—

205

C₂×C₄

C₂×C₂²⋊D₅₉

yes

—

206

C₂×C₄

C₂×C₂²⋊D₅₉

yes

—

207

C₂×C₄

C₂×C₂²⋊D₅₉

yes

characteristic

208

C₂×C₄

C₂³×D₅₉

yes

characteristic

209

C₈

—

118

—

210

C₈

—

118

—

211

C₂²

—

212

C₂²

—

213

C₂²

—

214

C₂²

—

215

C₂²

C₂²×C₂²⋊D₅₉

yes

characteristic

216

C₄

—

217

C₄

—

218

C₄

—

219

C₄

—

220

C₄

—

221

C₄

—

222

C₄

—

236

—

223

C₄

—

236

—

224

C₄

#14273772

yes

—

225

C₂

—

226

C₂

—

227

C₂

#16837969

yes

characteristic

228

C₂

#16838217

yes

—

	subgroup	G/H
center	C₂²	C₂²×C₂²⋊D₅₉
commutator	C₂×C₄×C₅₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₅₉
Fitting	C₅₉×#536	C₂
socle	C₂²×C₅₉	C₂²×D₄
hypercenter	#536	D₅₉
hypocenter	C₅₉	#3223
LCS	G ▷ C₂×C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂² ◁ #117 ◁ #536

subgroup

G/H

center

C₂²

C₂²×C₂²⋊D₅₉

commutator

C₂×C₄×C₅₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₅₉

Fitting

C₅₉×#536

C₂

socle

C₂²×C₅₉

C₂²×D₄

D₅₉

C₅₉

G ▷ C₂×C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉

UCS

C₁ ◁ C₂² ◁ #117 ◁ #536

N	H ≅ G/N	type
1. #16838014	C₂	semidirect
2. #16837797	C₂	semidirect
3. #16837781	C₂	semidirect
4. #16837770	C₂	semidirect
5. #16837756	C₂	semidirect
6. #16837621	C₂	semidirect
7. #16837609	C₂	semidirect
9. #16837558	C₂	semidirect
10. #16837463	C₂	semidirect
126. C₅₉	#3223	semidirect

H ≅ G/N

type

1. #16838014

C₂

semidirect

2. #16837797

C₂

semidirect

3. #16837781

C₂

semidirect

4. #16837770

C₂

semidirect

5. #16837756

C₂

semidirect

6. #16837621

C₂

semidirect

7. #16837609

C₂

semidirect

9. #16837558

C₂

semidirect

10. #16837463

C₂

semidirect

126. C₅₉

#3223

semidirect

Subgroups — #21435179

Conjugacy classes of subgroups

Complements