Group #21437005 — subgroups

Subgroups — #21437005

Order 7552.

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

normal subgroups only

This group has 340 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	Q₈×Dic₁₁₈	C₂	1	1	yes	maximal, characteristic, complemented
2	#16838113	C₂	1	1	yes	maximal, characteristic
3	#16837810	C₂	1	2	yes	maximal, complemented
4	#16837805	C₂	1	1	yes	maximal, characteristic, complemented
5	#16837707	C₂	1	2	yes	maximal, complemented
6	#16837693	C₂	1	1	yes	maximal, characteristic
7	#16837681	C₂	1	2	yes	maximal
8	#16837529	C₂	1	1	yes	maximal, characteristic, complemented
9	#16837505	C₂	1	2	yes	maximal
10	C₄×#11745671	C₂	1	1	yes	maximal, characteristic
11	C₅₉×#477	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11745671	C₂²	1	1	yes	characteristic
13	#14273727	—	2	1	no	—
14	#14273727	C₂²	1	1	yes	characteristic
15	#14273726	—	2	2	no	—
16	#14273726	C₂²	1	2	yes	—
17	#14273718	C₂²	1	2	yes	—
18	#14273707	—	2	1	no	—
19	#14273703	—	2	2	no	—
20	Q₈×Dic₅₉	C₂²	1	2	yes	—
21	C₄×Dic₁₁₈	—	2	1	no	—
22	C₄×Dic₁₁₈	C₂²	1	1	yes	characteristic
23	C₄×D₂₃₆	C₂²	1	1	yes	characteristic
24	#14273689	C₂²	1	2	yes	—
25	C₄⋊C₄×D₅₉	—	2	1	no	—
26	#14273660	C₂²	1	2	yes	—
27	#14273660	C₂²	1	2	yes	—
28	#14273659	C₂²	1	2	yes	—
29	#14273658	C₂²	1	1	yes	characteristic
30	Dic₅₉⋊C₈	C₂²	1	2	yes	—
31	#14273651	C₂²	1	1	yes	characteristic
32	#14273649	C₂²	1	2	yes	—
33	#14273647	C₂²	1	1	yes	characteristic
34	#14273637	C₂²	1	2	yes	—
35	C₄×C₅₉⋊C₈	C₂²	1	1	yes	characteristic
36	C₄⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
37	C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
38	#107×C₅₉	C₂²	1	2	yes	—
39	C₄⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
40	#103×C₅₉	C₂²	1	2	yes	—
41	C₂×Q₈×C₅₉	—	2	1	no	—
42	C₂×Q₈×C₅₉	C₂³	1	1	yes	characteristic
43	C₂×D₂₃₆	C₂³	1	1	yes	characteristic
44	C₂×C₄×D₅₉	—	2	1	no	—
45	C₂×C₄×D₅₉	—	2	2	no	—
46	C₂×Dic₁₁₈	—	2	1	no	—
47	C₂×Dic₁₁₈	—	2	2	no	—
48	C₂×Dic₁₁₈	D₄	1	1	yes	characteristic
49	C₂×C₈×C₅₉	C₂³	1	2	yes	—
50	C₄⋊C₄×C₅₉	—	2	1	no	—
51	C₄⋊C₄×C₅₉	—	2	1	no	—
52	C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
53	C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
54	C₄²×C₅₉	—	2	1	no	—
55	C₄²×C₅₉	C₂³	1	1	yes	characteristic
56	#11745671	Q₈	1	4	yes	complemented
57	(C₂×D₅₉)⋊C₄	—	2	1	no	—
58	(C₂×D₅₉)⋊C₄	—	2	2	no	—
59	C₄⋊Dic₅₉	—	2	1	no	—
60	C₄⋊Dic₅₉	—	2	2	no	—
61	C₄⋊Dic₅₉	—	2	2	no	—
62	C₄⋊Dic₅₉	D₄	1	1	yes	characteristic
63	C₄⋊Dic₅₉	C₂³	1	2	yes	—
64	C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
65	Dic₅₉⋊C₄	—	2	2	no	—
66	Dic₅₉⋊C₄	—	2	2	no	—
67	Dic₅₉⋊C₄	D₄	1	2	yes	—
68	C₄×Dic₅₉	—	2	2	no	—
69	C₄×Dic₅₉	C₂³	1	2	yes	—
70	C₂×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
71	C₂×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
72	C₂²×D₅₉	—	2	1	no	—
73	Q₈×C₅₉	—	2	1	no	—
74	Q₈×C₅₉	—	8	1	no	—
75	Q₈×C₅₉	C₂×Q₈	1	2	yes	—
76	C₂×C₄×C₅₉	—	2	1	no	—
77	C₂×C₄×C₅₉	—	2	1	no	—
78	C₂×C₄×C₅₉	—	2	2	no	—
79	C₂×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
80	C₂×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
81	C₂×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
82	C₂×Dic₅₉	—	2	2	no	—
83	C₂×Dic₅₉	—	2	1	no	—
84	C₂×Dic₅₉	C₂×D₄	1	2	yes	—
85	C₂×Dic₅₉	C₂×D₄	1	2	yes	—
86	D₂₃₆	—	2	1	no	—
87	D₂₃₆	C₂×Q₈	1	2	yes	—
88	C₄×D₅₉	—	4	2	no	—
89	C₄×D₅₉	—	8	2	no	—
90	Dic₁₁₈	—	2	2	no	—
91	Dic₁₁₈	—	8	2	no	—
92	Dic₁₁₈	—	8	1	no	—
93	C₈×C₅₉	—	2	2	no	—
94	C₅₉⋊C₈	—	2	1	no	—
95	C₅₉⋊C₈	C₂×Q₈	1	2	yes	—
96	C₂²×C₅₉	C₂²×D₄	1	1	yes	characteristic
97	C₂×D₅₉	—	2	2	no	—
98	C₂×D₅₉	—	4	1	no	—
99	C₂×D₅₉	—	4	1	no	—
100	C₄×C₅₉	—	2	2	no	—
101	C₄×C₅₉	—	2	1	no	—
102	C₄×C₅₉	—	4	1	no	—
103	C₄×C₅₉	—	4	2	no	—
104	C₄×C₅₉	#137	1	2	yes	—
105	C₄×C₅₉	C₂²×Q₈	1	1	yes	characteristic
106	C₄×C₅₉	2₋¹⁺⁴	1	1	yes	characteristic
107	Dic₅₉	—	2	2	no	—
108	Dic₅₉	—	2	2	no	—
109	Dic₅₉	—	4	1	no	—
110	Dic₅₉	—	4	2	no	—
111	#3385	—	59	1	no	maximal, Sylow
112	C₂×C₅₉	D₄×Q₈	1	1	yes	characteristic
113	C₂×C₅₉	C₂×#137	1	1	yes	characteristic
114	C₂×C₅₉	#576	1	1	yes	characteristic
115	D₅₉	—	4	2	no	—
116	Q₈²	—	59	1	no	—
117	#554	—	59	1	no	—
118	#501	—	59	2	no	—
119	#500	—	59	1	no	—
120	#479	—	59	2	no	—
121	#477	D₅₉	1	1	yes	characteristic, complemented
122	#476	—	59	1	no	—
123	#474	—	59	2	no	—
124	#446	—	59	1	no	—
125	#440	—	59	2	no	—
126	C₄×SD₁₆	—	59	1	no	—
127	C₅₉	#3385	1	1	yes	characteristic, complemented, Sylow
128	C₂×SD₁₆	—	59	1	no	—
129	C₄⋊Q₈	—	59	2	no	—
130	C₄⋊Q₈	—	59	1	no	—
131	C₄⋊Q₈	—	118	1	no	—
132	C₄⋊Q₈	—	118	2	no	—
133	C₄⋊Q₈	C₂×D₅₉	1	1	yes	characteristic
134	#125	—	59	2	no	—
135	C₂²⋊Q₈	—	118	1	no	—
136	C₂²⋊Q₈	—	118	2	no	—
137	C₄×Q₈	—	59	1	no	—
138	C₄×Q₈	—	59	2	no	—
139	C₄×Q₈	—	118	1	no	—
140	C₄×Q₈	C₂×D₅₉	1	1	yes	characteristic
141	C₄×D₄	—	59	2	no	—
142	C₄×D₄	—	59	1	no	—
143	C₂×C₄⋊C₄	—	118	1	no	—
144	#107	—	59	2	no	—
145	#107	—	59	2	no	—
146	#107	C₂×D₅₉	1	2	yes	—
147	#106	—	59	2	no	—
148	#106	—	59	1	no	—
149	C₄⋊C₈	—	59	2	no	—
150	C₄⋊C₈	C₂×D₅₉	1	1	yes	characteristic
151	#103	—	59	1	no	—
152	#103	C₂×D₅₉	1	2	yes	—
153	#102	—	59	2	no	—
154	#102	—	59	1	no	—
155	#97	—	59	2	no	—
156	C₄×C₈	—	59	1	no	—
157	C₂×Q₈	—	2	1	no	—
158	C₂×Q₈	—	59	1	no	—
159	C₂×Q₈	—	118	2	no	—
160	C₂×Q₈	—	118	1	no	—
161	C₂×Q₈	C₂²×D₅₉	1	1	yes	characteristic
162	C₂×D₄	—	59	1	no	—
163	C₂²×C₄	—	118	2	no	—
164	C₂²×C₄	—	118	1	no	—
165	SD₁₆	—	59	4	no	—
166	C₂×C₈	—	59	1	no	—
167	C₂×C₈	—	59	1	no	—
168	C₂×C₈	C₂²×D₅₉	1	2	yes	—
169	C₄⋊C₄	—	2	1	no	—
170	C₄⋊C₄	—	2	1	no	—
171	C₄⋊C₄	—	59	1	no	—
172	C₄⋊C₄	—	59	2	no	—
173	C₄⋊C₄	—	59	2	no	—
174	C₄⋊C₄	—	59	1	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	—	118	1	no	—
180	C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
181	C₄⋊C₄	C₂²×D₅₉	1	2	yes	—
182	C₂²⋊C₄	—	118	2	no	—
183	C₂²⋊C₄	—	118	1	no	—
184	C₄²	—	2	1	no	—
185	C₄²	—	59	2	no	—
186	C₄²	—	118	2	no	—
187	C₄²	C₂²×D₅₉	1	1	yes	characteristic
188	C₂³	—	118	1	no	—
189	Q₈	—	2	1	no	—
190	Q₈	—	8	1	no	—
191	Q₈	—	118	2	no	—
192	Q₈	—	472	1	no	—
193	Q₈	—	472	2	no	—
194	Q₈	Q₈×D₅₉	1	2	yes	—
195	D₄	—	59	2	no	—
196	D₄	—	118	1	no	—
197	C₂×C₄	—	2	1	no	—
198	C₂×C₄	—	2	1	no	—
199	C₂×C₄	—	2	2	no	—
200	C₂×C₄	—	59	2	no	—
201	C₂×C₄	—	59	2	no	—
202	C₂×C₄	—	118	2	no	—
203	C₂×C₄	—	118	1	no	—
204	C₂×C₄	—	472	2	no	—
205	C₂×C₄	—	236	2	no	—
206	C₂×C₄	D₄×D₅₉	1	1	yes	characteristic
207	C₂×C₄	D₄×D₅₉	1	1	yes	characteristic
208	C₂×C₄	C₂³×D₅₉	1	1	yes	characteristic
209	C₈	—	2	2	no	—
210	C₈	—	59	2	no	—
211	C₈	—	118	1	no	—
212	C₂²	—	118	2	no	—
213	C₂²	—	236	1	no	—
214	C₂²	—	236	1	no	—
215	C₂²	C₂×D₄×D₅₉	1	1	yes	characteristic
216	C₄	—	2	1	no	—
217	C₄	—	2	2	no	—
218	C₄	—	4	2	no	—
219	C₄	—	4	1	no	—
220	C₄	—	118	2	no	—
221	C₄	—	118	2	no	—
222	C₄	—	236	1	no	—
223	C₄	—	236	2	no	—
224	C₄	#14273759	1	2	yes	—
225	C₄	C₂×Q₈×D₅₉	1	1	yes	characteristic
226	C₄	#14273774	1	1	yes	characteristic
227	C₂	—	236	2	no	—
228	C₂	#16838065	1	1	yes	characteristic
229	C₂	C₂×#14273759	1	1	yes	characteristic
230	C₂	#16838206	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

Q₈×Dic₁₁₈

C₂

yes

maximal, characteristic, complemented

#16838113

C₂

yes

maximal, characteristic

#16837810

C₂

yes

maximal, complemented

#16837805

C₂

yes

maximal, characteristic, complemented

#16837707

C₂

yes

maximal, complemented

#16837693

C₂

yes

maximal, characteristic

#16837681

C₂

yes

maximal

#16837529

C₂

yes

maximal, characteristic, complemented

#16837505

C₂

yes

maximal

C₄×#11745671

C₂

yes

maximal, characteristic

C₅₉×#477

C₂

yes

maximal, characteristic, complemented

C₂×#11745671

C₂²

yes

characteristic

#14273727

—

#14273727

C₂²

yes

characteristic

#14273726

—

#14273726

C₂²

yes

—

#14273718

C₂²

yes

—

#14273707

—

#14273703

—

Q₈×Dic₅₉

C₂²

yes

—

C₄×Dic₁₁₈

—

C₄×Dic₁₁₈

C₂²

yes

characteristic

C₄×D₂₃₆

C₂²

yes

characteristic

#14273689

C₂²

yes

—

C₄⋊C₄×D₅₉

—

#14273660

C₂²

yes

—

#14273660

C₂²

yes

—

#14273659

C₂²

yes

—

#14273658

C₂²

yes

characteristic

Dic₅₉⋊C₈

C₂²

yes

—

#14273651

C₂²

yes

characteristic

#14273649

C₂²

yes

—

#14273647

C₂²

yes

characteristic

#14273637

C₂²

yes

—

C₄×C₅₉⋊C₈

C₂²

yes

characteristic

C₄⋊Q₈×C₅₉

C₂²

yes

characteristic

C₄×Q₈×C₅₉

C₂²

yes

characteristic

#107×C₅₉

C₂²

yes

—

C₄⋊C₈×C₅₉

C₂²

yes

characteristic

#103×C₅₉

C₂²

yes

—

C₂×Q₈×C₅₉

—

C₂×Q₈×C₅₉

C₂³

yes

characteristic

C₂×D₂₃₆

C₂³

yes

characteristic

C₂×C₄×D₅₉

—

C₂×C₄×D₅₉

—

C₂×Dic₁₁₈

—

C₂×Dic₁₁₈

—

C₂×Dic₁₁₈

D₄

yes

characteristic

C₂×C₈×C₅₉

C₂³

yes

—

C₄⋊C₄×C₅₉

—

C₄⋊C₄×C₅₉

—

C₄⋊C₄×C₅₉

C₂³

yes

—

C₄⋊C₄×C₅₉

C₂³

yes

characteristic

C₄²×C₅₉

—

C₄²×C₅₉

C₂³

yes

characteristic

#11745671

Q₈

yes

complemented

(C₂×D₅₉)⋊C₄

—

(C₂×D₅₉)⋊C₄

—

C₄⋊Dic₅₉

—

C₄⋊Dic₅₉

—

C₄⋊Dic₅₉

—

C₄⋊Dic₅₉

D₄

yes

characteristic

C₄⋊Dic₅₉

C₂³

yes

—

C₄⋊Dic₅₉

C₂³

yes

characteristic

Dic₅₉⋊C₄

—

Dic₅₉⋊C₄

—

Dic₅₉⋊C₄

D₄

yes

—

C₄×Dic₅₉

—

C₄×Dic₅₉

C₂³

yes

—

C₂×C₅₉⋊C₈

C₂³

yes

characteristic

C₂×C₅₉⋊C₈

C₂³

yes

characteristic

C₂²×D₅₉

—

Q₈×C₅₉

—

Q₈×C₅₉

—

Q₈×C₅₉

C₂×Q₈

yes

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

C₂×D₄

yes

characteristic

C₂×C₄×C₅₉

C₂×D₄

yes

characteristic

C₂×C₄×C₅₉

C₂⁴

yes

characteristic

C₂×Dic₅₉

—

C₂×Dic₅₉

—

C₂×Dic₅₉

C₂×D₄

yes

—

C₂×Dic₅₉

C₂×D₄

yes

—

D₂₃₆

—

D₂₃₆

C₂×Q₈

yes

—

C₄×D₅₉

—

C₄×D₅₉

—

Dic₁₁₈

—

Dic₁₁₈

—

Dic₁₁₈

—

C₈×C₅₉

—

C₅₉⋊C₈

—

C₅₉⋊C₈

C₂×Q₈

yes

—

C₂²×C₅₉

C₂²×D₄

yes

characteristic

C₂×D₅₉

—

C₂×D₅₉

—

C₂×D₅₉

—

100

C₄×C₅₉

—

101

C₄×C₅₉

—

102

C₄×C₅₉

—

103

C₄×C₅₉

—

104

C₄×C₅₉

#137

yes

—

105

C₄×C₅₉

C₂²×Q₈

yes

characteristic

106

C₄×C₅₉

2₋¹⁺⁴

yes

characteristic

107

Dic₅₉

—

108

Dic₅₉

—

109

Dic₅₉

—

110

Dic₅₉

—

111

#3385

—

maximal, Sylow

112

C₂×C₅₉

D₄×Q₈

yes

characteristic

113

C₂×C₅₉

C₂×#137

yes

characteristic

114

C₂×C₅₉

#576

yes

characteristic

115

D₅₉

—

116

Q₈²

—

117

#554

—

118

#501

—

119

#500

—

120

#479

—

121

#477

D₅₉

yes

characteristic, complemented

122

#476

—

123

#474

—

124

#446

—

125

#440

—

126

C₄×SD₁₆

—

127

C₅₉

#3385

yes

characteristic, complemented, Sylow

128

C₂×SD₁₆

—

129

C₄⋊Q₈

—

130

C₄⋊Q₈

—

131

C₄⋊Q₈

—

118

—

132

C₄⋊Q₈

—

118

—

133

C₄⋊Q₈

C₂×D₅₉

yes

characteristic

134

#125

—

135

C₂²⋊Q₈

—

118

—

136

C₂²⋊Q₈

—

118

—

137

C₄×Q₈

—

138

C₄×Q₈

—

139

C₄×Q₈

—

118

—

140

C₄×Q₈

C₂×D₅₉

yes

characteristic

141

C₄×D₄

—

142

C₄×D₄

—

143

C₂×C₄⋊C₄

—

118

—

144

#107

—

145

#107

—

146

#107

C₂×D₅₉

yes

—

147

#106

—

148

#106

—

149

C₄⋊C₈

—

150

C₄⋊C₈

C₂×D₅₉

yes

characteristic

151

#103

—

152

#103

C₂×D₅₉

yes

—

153

#102

—

154

#102

—

155

#97

—

156

C₄×C₈

—

157

C₂×Q₈

—

158

C₂×Q₈

—

159

C₂×Q₈

—

118

—

160

C₂×Q₈

—

118

—

161

C₂×Q₈

C₂²×D₅₉

yes

characteristic

162

C₂×D₄

—

163

C₂²×C₄

—

118

—

164

C₂²×C₄

—

118

—

165

SD₁₆

—

166

C₂×C₈

—

167

C₂×C₈

—

168

C₂×C₈

C₂²×D₅₉

yes

—

169

C₄⋊C₄

—

170

C₄⋊C₄

—

171

C₄⋊C₄

—

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

—

118

—

180

C₄⋊C₄

C₂²×D₅₉

yes

characteristic

181

C₄⋊C₄

C₂²×D₅₉

yes

—

182

C₂²⋊C₄

—

118

—

183

C₂²⋊C₄

—

118

—

184

C₄²

—

185

C₄²

—

186

C₄²

—

118

—

187

C₄²

C₂²×D₅₉

yes

characteristic

188

C₂³

—

118

—

189

Q₈

—

190

Q₈

—

191

Q₈

—

118

—

192

Q₈

—

472

—

193

Q₈

—

472

—

194

Q₈

Q₈×D₅₉

yes

—

195

D₄

—

196

D₄

—

118

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

118

—

203

C₂×C₄

—

118

—

204

C₂×C₄

—

472

—

205

C₂×C₄

—

236

—

206

C₂×C₄

D₄×D₅₉

yes

characteristic

207

C₂×C₄

D₄×D₅₉

yes

characteristic

208

C₂×C₄

C₂³×D₅₉

yes

characteristic

209

C₈

—

210

C₈

—

211

C₈

—

118

—

212

C₂²

—

118

—

213

C₂²

—

236

—

214

C₂²

—

236

—

215

C₂²

C₂×D₄×D₅₉

yes

characteristic

216

C₄

—

217

C₄

—

218

C₄

—

219

C₄

—

220

C₄

—

118

—

221

C₄

—

118

—

222

C₄

—

236

—

223

C₄

—

236

—

224

C₄

#14273759

yes

—

225

C₄

C₂×Q₈×D₅₉

yes

characteristic

226

C₄

#14273774

yes

characteristic

227

C₂

—

236

—

228

C₂

#16838065

yes

characteristic

229

C₂

C₂×#14273759

yes

characteristic

230

C₂

#16838206

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₅₉
commutator	C₂×C₄×C₅₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₅₉
Fitting	C₅₉×#477	C₂
socle	C₂²×C₅₉	C₂²×D₄
hypercenter	#477	D₅₉
hypocenter	C₅₉	#3385
LCS	G ▷ C₂×C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #477

subgroup

G/H

center

C₂²

C₂×D₄×D₅₉

commutator

C₂×C₄×C₅₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₅₉

Fitting

C₅₉×#477

C₂

socle

C₂²×C₅₉

C₂²×D₄

D₅₉

C₅₉

G ▷ C₂×C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #477

N	H ≅ G/N	type
1. Q₈×Dic₁₁₈	C₂	semidirect
3. #16837810	C₂	semidirect
4. #16837805	C₂	semidirect
5. #16837707	C₂	semidirect
8. #16837529	C₂	semidirect
11. C₅₉×#477	C₂	semidirect
56. #11745671	Q₈	semidirect
121. #477	D₅₉	semidirect
127. C₅₉	#3385	semidirect

H ≅ G/N

type

1. Q₈×Dic₁₁₈

C₂

semidirect

3. #16837810

C₂

semidirect

4. #16837805

C₂

semidirect

5. #16837707

C₂

semidirect

8. #16837529

C₂

semidirect

11. C₅₉×#477

C₂

semidirect

56. #11745671

Q₈

semidirect

121. #477

D₅₉

semidirect

127. C₅₉

#3385

semidirect

Subgroups — #21437005

Conjugacy classes of subgroups

Complements