Group #23775055 — subgroups

Subgroups — #23775055

Order 10112.

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×#14579190	C₂	1	2	yes	maximal, complemented
2	#19099221	C₂	1	2	yes	maximal, complemented
3	#19098806	C₂	1	2	yes	maximal, complemented
4	#19098782	C₂	1	2	yes	maximal, complemented
5	#19098717	C₂	1	2	yes	maximal, complemented
6	#19098705	C₂	1	2	yes	maximal, complemented
7	C₄×Dic₃₁₆	C₂	1	1	yes	maximal, characteristic, complemented
8	#19098642	C₂	1	1	yes	maximal, characteristic, complemented
9	#495×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11929623	C₂²	1	2	yes	—
11	C₂×Q₈×D₇₉	C₂²	1	2	yes	—
12	#14579190	—	2	8	no	—
13	C₂×Dic₃₁₆	C₂²	1	1	yes	characteristic
14	C₂×#11929614	C₂²	1	2	yes	—
15	C₂×#11929612	C₂²	1	2	yes	—
16	C₂×#11929607	C₂²	1	2	yes	—
17	#14579147	—	2	2	no	—
18	#14579138	—	2	2	no	—
19	#14579137	C₂²	1	2	yes	—
20	#14579134	—	2	2	no	—
21	#14579132	C₂²	1	2	yes	—
22	C₄×Dic₁₅₈	C₂²	1	2	yes	—
23	C₄×D₃₁₆	C₂²	1	1	yes	characteristic
24	(C₂²⋊D₇₉)⋊C₄	—	2	2	no	—
25	#14579095	C₂²	1	1	yes	characteristic
26	C₄⋊(C₇₉⋊C₈)	C₂²	1	1	yes	characteristic
27	#14579086	C₂²	1	2	yes	—
28	#14579085	C₂²	1	2	yes	—
29	#14579082	C₂²	1	2	yes	—
30	(C₂×D₇₉)⋊C₈	C₂²	1	2	yes	—
31	C₂×Q₁₆×C₇₉	C₂²	1	1	yes	characteristic
32	C₂×SD₁₆×C₇₉	C₂²	1	2	yes	—
33	C₂×D₈×C₇₉	C₂²	1	1	yes	characteristic
34	#124×C₇₉	C₂²	1	2	yes	—
35	C₄×C₈×C₇₉	C₂²	1	1	yes	characteristic
36	#11929623	—	2	4	no	—
37	#11929623	—	4	2	no	—
38	C₂×Dic₁₅₈	—	2	2	no	—
39	C₂×Dic₁₅₈	C₂³	1	2	yes	—
40	Q₈×D₇₉	—	2	4	no	—
41	Q₈×D₇₉	—	4	2	no	—
42	C₂×D₃₁₆	D₄	1	1	yes	characteristic
43	C₂×C₂²⋊D₇₉	—	2	2	no	—
44	C₂×C₂²⋊D₇₉	—	2	2	no	—
45	C₂²×Dic₇₉	—	2	2	no	—
46	C₂×C₄×D₇₉	—	2	2	no	—
47	C₂×C₄×D₇₉	C₂³	1	2	yes	—
48	Dic₃₁₆	D₄	1	4	yes	complemented
49	#11929614	—	2	4	no	—
50	#11929612	—	2	4	no	—
51	#11929607	—	2	4	no	—
52	C₂×C₇₉⋊C₈	C₂³	1	2	yes	—
53	C₄⋊Dic₇₉	D₄	1	1	yes	characteristic
54	C₄⋊Dic₇₉	C₂³	1	2	yes	—
55	Dic₇₉⋊C₄	—	2	2	no	—
56	Dic₇₉⋊C₄	—	2	2	no	—
57	C₂²⋊Dic₇₉	—	2	2	no	—
58	(C₂×D₇₉)⋊C₄	—	2	2	no	—
59	(C₂×D₇₉)⋊C₄	D₄	1	2	yes	—
60	C₄×Dic₇₉	—	2	2	no	—
61	C₂×Q₈×C₇₉	C₂³	1	2	yes	—
62	C₂×D₄×C₇₉	C₂³	1	2	yes	—
63	Q₁₆×C₇₉	—	4	1	no	—
64	SD₁₆×C₇₉	—	2	4	no	—
65	D₈×C₇₉	—	4	1	no	—
66	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
67	C₂×C₈×C₇₉	C₂³	1	1	yes	characteristic
68	C₂²⋊C₄×C₇₉	—	2	2	no	—
69	C₂²⋊C₄×C₇₉	—	2	2	no	—
70	C₄²×C₇₉	C₂³	1	1	yes	characteristic
71	C₂³×C₇₉	—	2	2	no	—
72	C₂²×D₇₉	C₂×D₄	1	2	yes	—
73	Q₈×C₇₉	—	2	2	no	—
74	Q₈×C₇₉	—	2	2	no	—
75	D₄×C₇₉	—	2	2	no	—
76	D₄×C₇₉	—	2	2	no	—
77	C₂×C₄×C₇₉	—	2	2	no	—
78	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
79	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
80	C₂×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
81	C₂²⋊D₇₉	—	4	4	no	—
82	C₂²⋊D₇₉	—	4	4	no	—
83	C₂×Dic₇₉	—	2	2	no	—
84	C₂×Dic₇₉	—	2	2	no	—
85	C₂×Dic₇₉	—	4	4	no	—
86	C₂×Dic₇₉	C₂×D₄	1	2	yes	—
87	D₃₁₆	—	4	1	no	—
88	C₄×D₇₉	—	2	2	no	—
89	C₄×D₇₉	—	2	2	no	—
90	C₄×D₇₉	—	4	4	no	—
91	Dic₁₅₈	—	2	2	no	—
92	Dic₁₅₈	—	4	4	no	—
93	Dic₁₅₈	C₂×D₄	1	4	yes	—
94	C₈×C₇₉	—	2	1	no	—
95	C₈×C₇₉	C₂×D₄	1	2	yes	—
96	C₇₉⋊C₈	—	2	2	no	—
97	C₂²×C₇₉	—	4	2	no	—
98	C₂²×C₇₉	—	4	2	no	—
99	C₂²×C₇₉	—	4	2	no	—
100	C₂²×C₇₉	C₂²×D₄	1	1	yes	characteristic
101	C₂×D₇₉	—	2	2	no	—
102	C₂×D₇₉	—	2	2	no	—
103	C₂×D₇₉	—	2	2	no	—
104	C₄×C₇₉	—	2	1	no	—
105	C₄×C₇₉	—	2	1	no	—
106	C₄×C₇₉	—	4	2	no	—
107	C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
108	C₄×C₇₉	H(5,𝔽₂)	1	1	yes	characteristic
109	Dic₇₉	—	2	4	no	—
110	Dic₇₉	—	2	2	no	—
111	Dic₇₉	—	4	2	no	—
112	C₂×C₇₉	—	8	2	no	—
113	C₂×C₇₉	D₄²	1	1	yes	characteristic
114	C₂×C₇₉	#575	1	1	yes	characteristic
115	C₂×C₇₉	#578	1	1	yes	characteristic
116	D₇₉	—	4	2	no	—
117	#3277	—	79	1	no	maximal, Sylow
118	C₇₉	#3277	1	1	yes	characteristic, complemented, Sylow
119	C₂×#137	—	79	2	no	—
120	#548	—	79	2	no	—
121	#495	D₇₉	1	1	yes	characteristic, complemented
122	#468	—	79	2	no	—
123	#464	—	79	2	no	—
124	#451	—	79	2	no	—
125	#449	—	79	2	no	—
126	C₄×Q₁₆	—	79	1	no	—
127	#436	—	79	1	no	—
128	C₂×#41	—	79	2	no	—
129	C₂²×Q₈	—	79	2	no	—
130	#137	—	158	8	no	—
131	C₂×Q₁₆	—	79	2	no	—
132	C₂×Q₁₆	—	79	1	no	—
133	C₂×Q₁₆	C₂×D₇₉	1	1	yes	characteristic
134	C₂×SD₁₆	—	79	2	no	—
135	C₂×SD₁₆	C₂×D₇₉	1	2	yes	—
136	C₂×D₈	C₂×D₇₉	1	1	yes	characteristic
137	C₂×M₁₆	—	79	2	no	—
138	#124	—	158	2	no	—
139	#124	C₂×D₇₉	1	2	yes	—
140	C₂²⋊Q₈	—	79	2	no	—
141	C₂²⋊Q₈	—	158	2	no	—
142	#121	—	79	2	no	—
143	#121	—	158	2	no	—
144	C₄×Q₈	—	79	2	no	—
145	C₄×D₄	—	79	1	no	—
146	C₄×D₄	—	158	2	no	—
147	#107	—	79	1	no	—
148	C₄⋊C₈	—	79	1	no	—
149	#103	—	79	2	no	—
150	#103	—	79	2	no	—
151	#102	—	79	2	no	—
152	C₂²⋊C₈	—	79	2	no	—
153	C₄×C₈	C₂×D₇₉	1	1	yes	characteristic
154	#41	—	316	2	no	—
155	#41	—	158	4	no	—
156	C₂×Q₈	—	316	2	no	—
157	C₂×Q₈	—	79	2	no	—
158	C₂×Q₈	—	158	2	no	—
159	C₂×Q₈	—	158	4	no	—
160	C₂×Q₈	C₂²×D₇₉	1	2	yes	—
161	C₂×D₄	—	79	1	no	—
162	C₂×D₄	—	158	2	no	—
163	C₂×D₄	—	158	2	no	—
164	C₂×D₄	C₂²×D₇₉	1	2	yes	—
165	C₂²×C₄	—	79	2	no	—
166	C₂²×C₄	—	158	2	no	—
167	C₂²×C₄	—	158	2	no	—
168	Q₁₆	—	4	1	no	—
169	Q₁₆	—	79	4	no	—
170	Q₁₆	—	158	4	no	—
171	SD₁₆	—	2	4	no	—
172	SD₁₆	—	158	4	no	—
173	D₈	—	4	1	no	—
174	M₁₆	—	158	4	no	—
175	C₂×C₈	—	79	2	no	—
176	C₂×C₈	C₂²×D₇₉	1	1	yes	characteristic
177	C₂×C₈	C₂²×D₇₉	1	1	yes	characteristic
178	C₄⋊C₄	—	79	1	no	—
179	C₄⋊C₄	—	79	2	no	—
180	C₄⋊C₄	—	158	2	no	—
181	C₄⋊C₄	—	158	2	no	—
182	C₂²⋊C₄	—	2	2	no	—
183	C₂²⋊C₄	—	2	2	no	—
184	C₂²⋊C₄	—	79	2	no	—
185	C₂²⋊C₄	—	158	2	no	—
186	C₂²⋊C₄	—	158	2	no	—
187	C₄²	—	158	2	no	—
188	C₄²	C₂²×D₇₉	1	1	yes	characteristic
189	C₂³	—	2	2	no	—
190	C₂³	—	79	2	no	—
191	Q₈	—	2	2	no	—
192	Q₈	—	2	2	no	—
193	Q₈	—	316	4	no	—
194	Q₈	—	79	4	no	—
195	Q₈	—	158	2	no	—
196	D₄	—	2	2	no	—
197	D₄	—	2	2	no	—
198	D₄	—	316	1	no	—
199	D₄	—	316	4	no	—
200	D₄	—	316	4	no	—
201	C₂×C₄	—	2	2	no	—
202	C₂×C₄	—	316	4	no	—
203	C₂×C₄	—	316	4	no	—
204	C₂×C₄	—	79	2	no	—
205	C₂×C₄	—	158	2	no	—
206	C₂×C₄	—	158	2	no	—
207	C₂×C₄	—	158	2	no	—
208	C₂×C₄	—	158	2	no	—
209	C₂×C₄	D₄×D₇₉	1	1	yes	characteristic
210	C₂×C₄	D₄×D₇₉	1	1	yes	characteristic
211	C₂×C₄	C₂³×D₇₉	1	1	yes	characteristic
212	C₈	—	2	1	no	—
213	C₈	—	158	2	no	—
214	C₈	D₄×D₇₉	1	2	yes	—
215	C₂²	—	4	2	no	—
216	C₂²	—	4	2	no	—
217	C₂²	—	4	2	no	—
218	C₂²	—	158	2	no	—
219	C₂²	—	158	2	no	—
220	C₂²	—	158	2	no	—
221	C₂²	C₂×D₄×D₇₉	1	1	yes	characteristic
222	C₄	—	2	1	no	—
223	C₄	—	2	1	no	—
224	C₄	—	4	2	no	—
225	C₄	—	316	2	no	—
226	C₄	—	158	2	no	—
227	C₄	—	158	4	no	—
228	C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
229	C₄	#14579206	1	1	yes	characteristic
230	C₂	—	8	2	no	—
231	C₂	—	316	2	no	—
232	C₂	#19099198	1	1	yes	characteristic
233	C₂	#19099360	1	1	yes	characteristic
234	C₂	#19099377	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#14579190

C₂

yes

maximal, complemented

#19099221

C₂

yes

maximal, complemented

#19098806

C₂

yes

maximal, complemented

#19098782

C₂

yes

maximal, complemented

#19098717

C₂

yes

maximal, complemented

#19098705

C₂

yes

maximal, complemented

C₄×Dic₃₁₆

C₂

yes

maximal, characteristic, complemented

#19098642

C₂

yes

maximal, characteristic, complemented

#495×C₇₉

C₂

yes

maximal, characteristic, complemented

C₂×#11929623

C₂²

yes

—

C₂×Q₈×D₇₉

C₂²

yes

—

#14579190

—

C₂×Dic₃₁₆

C₂²

yes

characteristic

C₂×#11929614

C₂²

yes

—

C₂×#11929612

C₂²

yes

—

C₂×#11929607

C₂²

yes

—

#14579147

—

#14579138

—

#14579137

C₂²

yes

—

#14579134

—

#14579132

C₂²

yes

—

C₄×Dic₁₅₈

C₂²

yes

—

C₄×D₃₁₆

C₂²

yes

characteristic

(C₂²⋊D₇₉)⋊C₄

—

#14579095

C₂²

yes

characteristic

C₄⋊(C₇₉⋊C₈)

C₂²

yes

characteristic

#14579086

C₂²

yes

—

#14579085

C₂²

yes

—

#14579082

C₂²

yes

—

(C₂×D₇₉)⋊C₈

C₂²

yes

—

C₂×Q₁₆×C₇₉

C₂²

yes

characteristic

C₂×SD₁₆×C₇₉

C₂²

yes

—

C₂×D₈×C₇₉

C₂²

yes

characteristic

#124×C₇₉

C₂²

yes

—

C₄×C₈×C₇₉

C₂²

yes

characteristic

#11929623

—

#11929623

—

C₂×Dic₁₅₈

—

C₂×Dic₁₅₈

C₂³

yes

—

Q₈×D₇₉

—

Q₈×D₇₉

—

C₂×D₃₁₆

D₄

yes

characteristic

C₂×C₂²⋊D₇₉

—

C₂×C₂²⋊D₇₉

—

C₂²×Dic₇₉

—

C₂×C₄×D₇₉

—

C₂×C₄×D₇₉

C₂³

yes

—

Dic₃₁₆

D₄

yes

—

—

—

C₂×C₇₉⋊C₈

C₂³

yes

—

C₄⋊Dic₇₉

D₄

yes

characteristic

C₄⋊Dic₇₉

C₂³

yes

—

Dic₇₉⋊C₄

—

Dic₇₉⋊C₄

—

C₂²⋊Dic₇₉

—

(C₂×D₇₉)⋊C₄

—

(C₂×D₇₉)⋊C₄

D₄

yes

—

C₄×Dic₇₉

—

C₂×Q₈×C₇₉

C₂³

yes

—

C₂×D₄×C₇₉

C₂³

yes

—

Q₁₆×C₇₉

—

SD₁₆×C₇₉

—

D₈×C₇₉

—

C₂×C₈×C₇₉

C₂³

yes

characteristic

C₂×C₈×C₇₉

C₂³

yes

characteristic

C₂²⋊C₄×C₇₉

—

C₂²⋊C₄×C₇₉

—

C₄²×C₇₉

C₂³

yes

characteristic

C₂³×C₇₉

—

C₂²×D₇₉

C₂×D₄

yes

—

Q₈×C₇₉

—

Q₈×C₇₉

—

D₄×C₇₉

—

D₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

C₂×D₄

yes

characteristic

C₂×C₄×C₇₉

C₂×D₄

yes

characteristic

C₂×C₄×C₇₉

C₂⁴

yes

characteristic

C₂²⋊D₇₉

—

C₂²⋊D₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

C₂×D₄

yes

—

D₃₁₆

—

C₄×D₇₉

—

C₄×D₇₉

—

C₄×D₇₉

—

Dic₁₅₈

—

Dic₁₅₈

—

Dic₁₅₈

C₂×D₄

yes

—

C₈×C₇₉

—

C₈×C₇₉

C₂×D₄

yes

—

C₇₉⋊C₈

—

C₂²×C₇₉

—

C₂²×C₇₉

—

C₂²×C₇₉

—

100

C₂²×C₇₉

C₂²×D₄

yes

characteristic

101

C₂×D₇₉

—

102

C₂×D₇₉

—

103

C₂×D₇₉

—

104

C₄×C₇₉

—

105

C₄×C₇₉

—

106

C₄×C₇₉

—

107

C₄×C₇₉

C₂²×D₄

yes

characteristic

108

C₄×C₇₉

H(5,𝔽₂)

yes

characteristic

109

Dic₇₉

—

110

Dic₇₉

—

111

Dic₇₉

—

112

C₂×C₇₉

—

113

C₂×C₇₉

D₄²

yes

characteristic

114

C₂×C₇₉

#575

yes

characteristic

115

C₂×C₇₉

#578

yes

characteristic

116

D₇₉

—

117

#3277

—

maximal, Sylow

118

C₇₉

#3277

yes

characteristic, complemented, Sylow

119

C₂×#137

—

120

#548

—

121

#495

D₇₉

yes

characteristic, complemented

122

#468

—

123

#464

—

124

#451

—

125

#449

—

126

C₄×Q₁₆

—

127

#436

—

128

C₂×#41

—

129

C₂²×Q₈

—

130

#137

—

158

—

131

C₂×Q₁₆

—

132

C₂×Q₁₆

—

133

C₂×Q₁₆

C₂×D₇₉

yes

characteristic

134

C₂×SD₁₆

—

135

C₂×SD₁₆

C₂×D₇₉

yes

—

136

C₂×D₈

C₂×D₇₉

yes

characteristic

137

C₂×M₁₆

—

138

#124

—

158

—

139

#124

C₂×D₇₉

yes

—

140

C₂²⋊Q₈

—

141

C₂²⋊Q₈

—

158

—

142

#121

—

143

#121

—

158

—

144

C₄×Q₈

—

145

C₄×D₄

—

146

C₄×D₄

—

158

—

147

#107

—

148

C₄⋊C₈

—

149

#103

—

150

#103

—

151

#102

—

152

C₂²⋊C₈

—

153

C₄×C₈

C₂×D₇₉

yes

characteristic

154

#41

—

316

—

155

#41

—

158

—

156

C₂×Q₈

—

316

—

157

C₂×Q₈

—

158

C₂×Q₈

—

158

—

159

C₂×Q₈

—

158

—

160

C₂×Q₈

C₂²×D₇₉

yes

—

161

C₂×D₄

—

162

C₂×D₄

—

158

—

163

C₂×D₄

—

158

—

164

C₂×D₄

C₂²×D₇₉

yes

—

165

C₂²×C₄

—

166

C₂²×C₄

—

158

—

167

C₂²×C₄

—

158

—

168

Q₁₆

—

169

Q₁₆

—

170

Q₁₆

—

158

—

171

SD₁₆

—

172

SD₁₆

—

158

—

173

D₈

—

174

M₁₆

—

158

—

175

C₂×C₈

—

176

C₂×C₈

C₂²×D₇₉

yes

characteristic

177

C₂×C₈

C₂²×D₇₉

yes

characteristic

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

158

—

181

C₄⋊C₄

—

158

—

182

C₂²⋊C₄

—

183

C₂²⋊C₄

—

184

C₂²⋊C₄

—

185

C₂²⋊C₄

—

158

—

186

C₂²⋊C₄

—

158

—

187

C₄²

—

158

—

188

C₄²

C₂²×D₇₉

yes

characteristic

189

C₂³

—

190

C₂³

—

191

Q₈

—

192

Q₈

—

193

Q₈

—

316

—

194

Q₈

—

195

Q₈

—

158

—

196

D₄

—

197

D₄

—

198

D₄

—

316

—

199

D₄

—

316

—

200

D₄

—

316

—

201

C₂×C₄

—

202

C₂×C₄

—

316

—

203

C₂×C₄

—

316

—

204

C₂×C₄

—

205

C₂×C₄

—

158

—

206

C₂×C₄

—

158

—

207

C₂×C₄

—

158

—

208

C₂×C₄

—

158

—

209

C₂×C₄

D₄×D₇₉

yes

characteristic

210

C₂×C₄

D₄×D₇₉

yes

characteristic

211

C₂×C₄

C₂³×D₇₉

yes

characteristic

212

C₈

—

213

C₈

—

158

—

214

C₈

D₄×D₇₉

yes

—

215

C₂²

—

216

C₂²

—

217

C₂²

—

218

C₂²

—

158

—

219

C₂²

—

158

—

220

C₂²

—

158

—

221

C₂²

C₂×D₄×D₇₉

yes

characteristic

222

C₄

—

223

C₄

—

224

C₄

—

225

C₄

—

316

—

226

C₄

—

158

—

227

C₄

—

158

—

228

C₄

C₂×D₄×D₇₉

yes

characteristic

229

C₄

#14579206

yes

characteristic

230

C₂

—

231

C₂

—

316

—

232

C₂

#19099198

yes

characteristic

233

C₂

#19099360

yes

characteristic

234

C₂

#19099377

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₇₉
commutator, cosocle	C₂×C₄×C₇₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₇₉
Fitting	#495×C₇₉	C₂
socle	C₂²×C₇₉	C₂²×D₄
hypercenter	#495	D₇₉
hypocenter	C₇₉	#3277
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #495

subgroup

G/H

center

C₂²

C₂×D₄×D₇₉

commutator, cosocle

C₂×C₄×C₇₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₇₉

Fitting

#495×C₇₉

C₂

socle

C₂²×C₇₉

C₂²×D₄

D₇₉

C₇₉

G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #495

N	H ≅ G/N	type
1. C₂×#14579190	C₂	semidirect
2. #19099221	C₂	semidirect
3. #19098806	C₂	semidirect
4. #19098782	C₂	semidirect
5. #19098717	C₂	semidirect
6. #19098705	C₂	semidirect
7. C₄×Dic₃₁₆	C₂	semidirect
8. #19098642	C₂	semidirect
9. #495×C₇₉	C₂	semidirect
48. Dic₃₁₆	D₄	semidirect
118. C₇₉	#3277	semidirect
121. #495	D₇₉	semidirect

H ≅ G/N

type

1. C₂×#14579190

C₂

semidirect

2. #19099221

C₂

semidirect

3. #19098806

C₂

semidirect

4. #19098782

C₂

semidirect

5. #19098717

C₂

semidirect

6. #19098705

C₂

semidirect

7. C₄×Dic₃₁₆

C₂

semidirect

8. #19098642

C₂

semidirect

9. #495×C₇₉

C₂

semidirect

48. Dic₃₁₆

D₄

semidirect

118. C₇₉

#3277

semidirect

121. #495

D₇₉

semidirect

Subgroups — #23775055

Conjugacy classes of subgroups

Complements