Group #23763671 — subgroups

Subgroups — #23763671

Order 10112.

298 conjugacy classes of subgroups; only the 103 normal subgroups are shown.

normal subgroups only

This group has 298 conjugacy classes of subgroups — too many to draw. Only its 103 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×C₄×Dic₁₅₈	C₂	1	1	yes	maximal, characteristic
2	C₂×#14579093	C₂	1	1	yes	maximal, characteristic
3	C₂×#14579086	C₂	1	1	yes	maximal, characteristic
4	C₂×#14579086	C₂	1	1	yes	maximal, characteristic
5	#19098461	C₂	1	1	yes	maximal, characteristic
6	#19098326	C₂	1	1	yes	maximal, characteristic
7	#336×C₇₉	C₂	1	1	yes	maximal, characteristic
8	C₂²×Dic₁₅₈	C₂²	1	1	yes	characteristic
9	C₄×Dic₁₅₈	—	2	2	no	—
10	C₄×Dic₁₅₈	—	2	2	no	—
11	C₂×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
12	C₂×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
13	C₂×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
14	C₂×Dic₇₉⋊C₄	—	2	1	no	—
15	C₂×Dic₇₉⋊C₄	—	2	1	no	—
16	C₂×C₄×Dic₇₉	—	2	1	no	—
17	#14579093	—	2	2	no	—
18	#14579086	—	2	2	no	—
19	#14579086	C₄	1	4	yes	complemented
20	C₇₉⋊#95	—	2	1	no	—
21	C₂²×C₈×C₇₉	C₂²	1	1	yes	characteristic
22	C₂²×C₈×C₇₉	C₂²	1	1	yes	characteristic
23	C₂×C₄²×C₇₉	C₂²	1	1	yes	characteristic
24	C₂×Dic₁₅₈	—	2	1	no	—
25	C₂×Dic₁₅₈	—	2	1	no	—
26	C₂×Dic₁₅₈	—	2	1	no	—
27	C₂×Dic₁₅₈	C₂×C₄	1	2	yes	—
28	C₂×Dic₁₅₈	D₄	1	2	yes	—
29	C₂×Dic₁₅₈	Q₈	1	2	yes	—
30	C₂²×Dic₇₉	—	2	1	no	—
31	C₂²×Dic₇₉	—	2	1	no	—
32	C₂²×Dic₇₉	—	2	1	no	—
33	C₂²×Dic₇₉	—	2	1	no	—
34	C₄⋊Dic₇₉	—	2	1	no	—
35	C₄⋊Dic₇₉	—	2	1	no	—
36	C₄⋊Dic₇₉	—	2	1	no	—
37	C₄⋊Dic₇₉	—	2	1	no	—
38	C₄⋊Dic₇₉	C₂×C₄	1	2	yes	—
39	C₄⋊Dic₇₉	D₄	1	2	yes	—
40	Dic₇₉⋊C₄	—	2	4	no	—
41	Dic₇₉⋊C₄	—	4	2	no	—
42	C₄×Dic₇₉	—	2	4	no	—
43	C₂²×C₄×C₇₉	D₄	1	1	yes	characteristic
44	C₂²×C₄×C₇₉	D₄	1	1	yes	characteristic
45	C₂²×C₄×C₇₉	C₂³	1	1	yes	characteristic
46	C₂×C₈×C₇₉	—	2	1	no	—
47	C₂×C₈×C₇₉	—	2	1	no	—
48	C₂×C₈×C₇₉	—	2	1	no	—
49	C₂×C₈×C₇₉	—	2	1	no	—
50	C₂×C₈×C₇₉	—	2	1	no	—
51	C₂×C₈×C₇₉	C₂×C₄	1	2	yes	—
52	C₄²×C₇₉	—	2	1	no	—
53	C₄²×C₇₉	—	2	1	no	—
54	C₂³×C₇₉	C₂×D₄	1	1	yes	characteristic
55	C₂×C₄×C₇₉	—	2	1	no	—
56	C₂×C₄×C₇₉	—	2	1	no	—
57	C₂×C₄×C₇₉	—	2	1	no	—
58	C₂×C₄×C₇₉	—	2	1	no	—
59	C₂×C₄×C₇₉	—	2	1	no	—
60	C₂×C₄×C₇₉	SD₁₆	1	2	yes	—
61	C₂×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
62	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
63	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
64	C₂×C₄×C₇₉	C₂×Q₈	1	1	yes	characteristic
65	C₂×C₄×C₇₉	#41	1	1	yes	characteristic
66	C₂×C₄×C₇₉	#41	1	1	yes	characteristic
67	C₂×Dic₇₉	—	2	2	no	—
68	C₂×Dic₇₉	—	2	2	no	—
69	C₂×Dic₇₉	—	2	2	no	—
70	C₂×Dic₇₉	—	2	2	no	—
71	C₂×Dic₇₉	—	2	2	no	—
72	C₂×Dic₇₉	—	4	1	no	—
73	C₂×Dic₇₉	—	4	1	no	—
74	C₂×Dic₇₉	—	4	1	no	—
75	C₂×Dic₇₉	—	4	1	no	—
76	C₂×Dic₇₉	—	4	1	no	—
77	C₂×Dic₇₉	—	4	1	no	—
78	C₂×Dic₇₉	—	4	1	no	—
79	Dic₁₅₈	—	2	2	no	—
80	Dic₁₅₈	—	2	2	no	—
81	Dic₁₅₈	—	2	2	no	—
82	Dic₁₅₈	C₄⋊C₄	1	4	yes	complemented
83	C₈×C₇₉	—	2	2	no	—
84	C₈×C₇₉	—	4	1	no	—
85	C₂²×C₇₉	C₄×D₄	1	1	yes	characteristic
86	C₂²×C₇₉	#120	1	1	yes	characteristic
87	C₂²×C₇₉	C₂²⋊Q₈	1	1	yes	characteristic
88	C₂²×C₇₉	C₂×SD₁₆	1	1	yes	characteristic
89	C₂²×C₇₉	#135	1	1	yes	characteristic
90	C₂²×C₇₉	#137	1	1	yes	characteristic
91	C₂²×C₇₉	#137	1	1	yes	characteristic
92	C₄×C₇₉	—	2	2	no	—
93	C₄×C₇₉	—	4	1	no	—
94	C₄×C₇₉	C₂×C₄⋊C₄	1	1	yes	characteristic
95	C₄×C₇₉	C₄×D₄	1	1	yes	characteristic
96	C₄×C₇₉	C₂²⋊Q₈	1	1	yes	characteristic
97	C₄×C₇₉	#123	1	1	yes	characteristic
98	Dic₇₉	—	2	4	no	—
99	Dic₇₉	—	4	2	no	—
100	Dic₇₉	—	4	2	no	—
101	Dic₇₉	—	8	1	no	—
102	C₂×C₇₉	#385	1	1	yes	characteristic
103	C₂×C₇₉	C₄×SD₁₆	1	1	yes	characteristic
104	C₂×C₇₉	#441	1	1	yes	characteristic
105	C₂×C₇₉	#448	1	1	yes	characteristic
106	C₂×C₇₉	#452	1	1	yes	characteristic
107	C₂×C₇₉	#475	1	1	yes	characteristic
108	C₂×C₇₉	#479	1	1	yes	characteristic
109	#1865	—	79	1	no	maximal, Sylow
110	C₇₉	#1865	1	1	yes	characteristic, complemented, Sylow
111	C₂×C₄×Q₈	—	79	1	no	—
112	C₂×#106	—	79	1	no	—
113	C₂×#103	—	79	1	no	—
114	C₂×#103	—	79	1	no	—
115	#389	—	79	1	no	—
116	#340	—	79	1	no	—
117	#336	D₇₉	1	1	yes	characteristic
118	C₂²×Q₈	—	79	1	no	—
119	C₂²×C₈	C₂×D₇₉	1	1	yes	characteristic
120	C₂²×C₈	C₂×D₇₉	1	1	yes	characteristic
121	C₄×Q₈	—	158	2	no	—
122	C₄×Q₈	—	158	2	no	—
123	C₂×C₄⋊C₄	—	79	1	no	—
124	C₂×C₄⋊C₄	—	79	1	no	—
125	C₂×C₄⋊C₄	—	79	1	no	—
126	C₂×C₄⋊C₄	—	158	1	no	—
127	C₂×C₄⋊C₄	—	158	1	no	—
128	C₂×C₄²	—	158	1	no	—
129	C₂×C₄²	C₂×D₇₉	1	1	yes	characteristic
130	#106	—	158	2	no	—
131	#103	—	79	4	no	—
132	#103	—	158	2	no	—
133	#95	—	158	1	no	—
134	C₂×Q₈	—	79	2	no	—
135	C₂×Q₈	—	79	2	no	—
136	C₂×Q₈	—	79	2	no	—
137	C₂×Q₈	—	158	1	no	—
138	C₂×Q₈	—	158	1	no	—
139	C₂×Q₈	—	158	1	no	—
140	C₂²×C₄	—	158	1	no	—
141	C₂²×C₄	—	158	1	no	—
142	C₂²×C₄	—	158	1	no	—
143	C₂²×C₄	—	158	1	no	—
144	C₂²×C₄	D₃₁₆	1	1	yes	characteristic
145	C₂²×C₄	D₃₁₆	1	1	yes	characteristic
146	C₂²×C₄	C₂²×D₇₉	1	1	yes	characteristic
147	C₂×C₈	—	2	1	no	—
148	C₂×C₈	—	2	1	no	—
149	C₂×C₈	—	2	1	no	—
150	C₂×C₈	—	2	1	no	—
151	C₂×C₈	—	2	1	no	—
152	C₂×C₈	C₄×D₇₉	1	2	yes	—
153	C₄⋊C₄	—	316	2	no	—
154	C₄⋊C₄	—	79	2	no	—
155	C₄⋊C₄	—	79	2	no	—
156	C₄⋊C₄	—	158	4	no	—
157	C₄⋊C₄	—	158	1	no	—
158	C₄⋊C₄	—	158	1	no	—
159	C₄⋊C₄	—	158	1	no	—
160	C₄⋊C₄	—	158	1	no	—
161	C₄²	—	2	1	no	—
162	C₄²	—	2	1	no	—
163	C₄²	—	158	4	no	—
164	C₂³	C₂×D₃₁₆	1	1	yes	characteristic
165	Q₈	—	79	4	no	—
166	Q₈	—	158	2	no	—
167	Q₈	—	158	2	no	—
168	Q₈	—	158	2	no	—
169	C₂×C₄	—	2	1	no	—
170	C₂×C₄	—	2	1	no	—
171	C₂×C₄	—	2	1	no	—
172	C₂×C₄	—	2	1	no	—
173	C₂×C₄	—	2	1	no	—
174	C₂×C₄	—	316	1	no	—
175	C₂×C₄	—	316	1	no	—
176	C₂×C₄	—	316	1	no	—
177	C₂×C₄	—	316	1	no	—
178	C₂×C₄	—	316	1	no	—
179	C₂×C₄	—	316	1	no	—
180	C₂×C₄	—	316	1	no	—
181	C₂×C₄	—	158	2	no	—
182	C₂×C₄	—	158	2	no	—
183	C₂×C₄	—	158	2	no	—
184	C₂×C₄	—	158	2	no	—
185	C₂×C₄	—	158	2	no	—
186	C₂×C₄	#11929613	1	2	yes	—
187	C₂×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
188	C₂×C₄	D₄×D₇₉	1	1	yes	characteristic
189	C₂×C₄	D₄×D₇₉	1	1	yes	characteristic
190	C₂×C₄	Q₈×D₇₉	1	1	yes	characteristic
191	C₂×C₄	#11929623	1	1	yes	characteristic
192	C₂×C₄	#11929624	1	1	yes	characteristic
193	C₈	—	2	2	no	—
194	C₈	—	4	1	no	—
195	C₂²	C₄×D₃₁₆	1	1	yes	characteristic
196	C₂²	#14579131	1	1	yes	characteristic
197	C₂²	#14579141	1	1	yes	characteristic
198	C₂²	C₂×#11929613	1	1	yes	characteristic
199	C₂²	#14579183	1	1	yes	characteristic
200	C₂²	#14579194	1	1	yes	characteristic
201	C₂²	#14579194	1	1	yes	characteristic
202	C₄	—	2	2	no	—
203	C₄	—	4	1	no	—
204	C₄	—	316	2	no	—
205	C₄	—	316	2	no	—
206	C₄	—	632	1	no	—
207	C₄	—	158	4	no	—
208	C₄	C₄⋊C₄×D₇₉	1	1	yes	characteristic
209	C₄	(C₂²⋊D₇₉)⋊C₄	1	1	yes	characteristic
210	C₄	#14579139	1	1	yes	characteristic
211	C₄	#14579143	1	1	yes	characteristic
212	C₂	#19098437	1	1	yes	characteristic
213	C₂	C₄×#11929613	1	1	yes	characteristic
214	C₂	#19098671	1	1	yes	characteristic
215	C₂	#19098704	1	1	yes	characteristic
216	C₂	#19098727	1	1	yes	characteristic
217	C₂	#19098849	1	1	yes	characteristic
218	C₂	#19098871	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×C₄×Dic₁₅₈

C₂

yes

maximal, characteristic

C₂×#14579093

C₂

yes

maximal, characteristic

C₂×#14579086

C₂

yes

maximal, characteristic

C₂×#14579086

C₂

yes

maximal, characteristic

#19098461

C₂

yes

maximal, characteristic

#19098326

C₂

yes

maximal, characteristic

#336×C₇₉

C₂

yes

maximal, characteristic

C₂²×Dic₁₅₈

C₂²

yes

characteristic

C₄×Dic₁₅₈

—

C₄×Dic₁₅₈

—

C₂×C₄⋊Dic₇₉

C₂²

yes

characteristic

C₂×C₄⋊Dic₇₉

C₂²

yes

characteristic

C₂×C₄⋊Dic₇₉

C₂²

yes

characteristic

C₂×Dic₇₉⋊C₄

—

C₂×Dic₇₉⋊C₄

—

C₂×C₄×Dic₇₉

—

#14579093

—

#14579086

—

#14579086

C₄

yes

complemented

C₇₉⋊#95

—

C₂²×C₈×C₇₉

C₂²

yes

characteristic

C₂²×C₈×C₇₉

C₂²

yes

characteristic

C₂×C₄²×C₇₉

C₂²

yes

characteristic

C₂×Dic₁₅₈

—

C₂×Dic₁₅₈

—

C₂×Dic₁₅₈

—

C₂×Dic₁₅₈

C₂×C₄

yes

—

C₂×Dic₁₅₈

D₄

yes

—

C₂×Dic₁₅₈

Q₈

yes

—

C₂²×Dic₇₉

—

C₂²×Dic₇₉

—

C₂²×Dic₇₉

—

C₂²×Dic₇₉

—

C₄⋊Dic₇₉

—

C₄⋊Dic₇₉

—

C₄⋊Dic₇₉

—

C₄⋊Dic₇₉

—

C₄⋊Dic₇₉

C₂×C₄

yes

—

C₄⋊Dic₇₉

D₄

yes

—

Dic₇₉⋊C₄

—

Dic₇₉⋊C₄

—

C₄×Dic₇₉

—

C₂²×C₄×C₇₉

D₄

yes

characteristic

C₂²×C₄×C₇₉

D₄

yes

characteristic

C₂²×C₄×C₇₉

C₂³

yes

characteristic

C₂×C₈×C₇₉

—

C₂×C₈×C₇₉

—

C₂×C₈×C₇₉

—

C₂×C₈×C₇₉

—

C₂×C₈×C₇₉

—

C₂×C₈×C₇₉

C₂×C₄

yes

—

C₄²×C₇₉

—

C₄²×C₇₉

—

C₂³×C₇₉

C₂×D₄

yes

characteristic

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

SD₁₆

yes

—

C₂×C₄×C₇₉

C₂²×C₄

yes

characteristic

C₂×C₄×C₇₉

C₂×D₄

yes

characteristic

C₂×C₄×C₇₉

C₂×D₄

yes

characteristic

C₂×C₄×C₇₉

C₂×Q₈

yes

C₂×C₄×C₇₉

yes

C₂×C₄×C₇₉

yes

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

Dic₁₅₈

—

Dic₁₅₈

—

Dic₁₅₈

—

Dic₁₅₈

C₄⋊C₄

yes

complemented

C₈×C₇₉

—

C₈×C₇₉

—

C₂²×C₇₉

C₄×D₄

yes

characteristic

C₂²×C₇₉

#120

yes

characteristic

C₂²×C₇₉

C₂²⋊Q₈

yes

characteristic

C₂²×C₇₉

C₂×SD₁₆

yes

C₂²×C₇₉

yes

C₂²×C₇₉

yes

C₂²×C₇₉

yes

C₄×C₇₉

—

C₄×C₇₉

—

C₄×C₇₉

C₂×C₄⋊C₄

yes

characteristic

C₄×C₇₉

C₄×D₄

yes

characteristic

C₄×C₇₉

C₂²⋊Q₈

yes

characteristic

C₄×C₇₉

#123

yes

characteristic

Dic₇₉

—

Dic₇₉

—

100

Dic₇₉

—

101

Dic₇₉

—

102

C₂×C₇₉

#385

yes

characteristic

103

C₂×C₇₉

C₄×SD₁₆

yes

characteristic

104

C₂×C₇₉

#441

yes

characteristic

105

C₂×C₇₉

#448

yes

characteristic

106

C₂×C₇₉

#452

yes

characteristic

107

C₂×C₇₉

#475

yes

characteristic

108

C₂×C₇₉

yes

109

—

110

C₇₉

#1865

yes

characteristic, complemented, Sylow

111

C₂×C₄×Q₈

—

112

C₂×#106

—

113

C₂×#103

—

114

C₂×#103

—

115

#389

—

116

#340

—

117

#336

D₇₉

yes

characteristic

118

C₂²×Q₈

—

119

C₂²×C₈

C₂×D₇₉

yes

characteristic

120

C₂²×C₈

C₂×D₇₉

yes

characteristic

121

C₄×Q₈

—

158

—

122

C₄×Q₈

—

158

—

123

C₂×C₄⋊C₄

—

124

C₂×C₄⋊C₄

—

125

C₂×C₄⋊C₄

—

126

C₂×C₄⋊C₄

—

158

—

127

C₂×C₄⋊C₄

—

158

—

128

C₂×C₄²

—

158

—

129

C₂×C₄²

C₂×D₇₉

yes

characteristic

130

#106

—

158

—

131

#103

—

132

#103

—

158

—

133

#95

—

158

—

134

C₂×Q₈

—

135

C₂×Q₈

—

136

C₂×Q₈

—

137

C₂×Q₈

—

158

—

138

C₂×Q₈

—

158

—

139

C₂×Q₈

—

158

—

140

C₂²×C₄

—

158

—

141

C₂²×C₄

—

158

—

142

C₂²×C₄

—

158

—

143

C₂²×C₄

—

158

—

144

C₂²×C₄

D₃₁₆

yes

characteristic

145

C₂²×C₄

D₃₁₆

yes

characteristic

146

C₂²×C₄

C₂²×D₇₉

yes

characteristic

147

C₂×C₈

—

148

C₂×C₈

—

149

C₂×C₈

—

150

C₂×C₈

—

151

C₂×C₈

—

152

C₂×C₈

C₄×D₇₉

yes

—

153

C₄⋊C₄

—

316

—

154

C₄⋊C₄

—

155

C₄⋊C₄

—

156

C₄⋊C₄

—

158

—

157

C₄⋊C₄

—

158

—

158

C₄⋊C₄

—

158

—

159

C₄⋊C₄

—

158

—

160

C₄⋊C₄

—

158

—

161

C₄²

—

162

C₄²

—

163

C₄²

—

158

—

164

C₂³

C₂×D₃₁₆

yes

characteristic

165

Q₈

—

166

Q₈

—

158

—

167

Q₈

—

158

—

168

Q₈

—

158

—

169

C₂×C₄

—

170

C₂×C₄

—

171

C₂×C₄

—

172

C₂×C₄

—

173

C₂×C₄

—

174

C₂×C₄

—

316

—

175

C₂×C₄

—

316

—

176

C₂×C₄

—

316

—

177

C₂×C₄

—

316

—

178

C₂×C₄

—

316

—

179

C₂×C₄

—

316

—

180

C₂×C₄

—

316

—

181

C₂×C₄

—

158

—

182

C₂×C₄

—

158

—

183

C₂×C₄

—

158

—

184

C₂×C₄

—

158

—

185

C₂×C₄

—

158

—

186

C₂×C₄

#11929613

yes

—

187

C₂×C₄

C₂×C₄×D₇₉

yes

characteristic

188

C₂×C₄

D₄×D₇₉

yes

characteristic

189

C₂×C₄

D₄×D₇₉

yes

characteristic

190

C₂×C₄

Q₈×D₇₉

yes

characteristic

191

C₂×C₄

#11929623

yes

characteristic

192

C₂×C₄

#11929624

yes

characteristic

193

C₈

—

194

C₈

—

195

C₂²

C₄×D₃₁₆

yes

characteristic

196

C₂²

#14579131

yes

characteristic

197

C₂²

#14579141

yes

characteristic

198

C₂²

C₂×#11929613

yes

characteristic

199

C₂²

#14579183

yes

characteristic

200

C₂²

#14579194

yes

characteristic

201

C₂²

#14579194

yes

characteristic

202

C₄

—

203

C₄

—

204

C₄

—

316

—

205

C₄

—

316

—

206

C₄

—

632

—

207

C₄

—

158

—

208

C₄

C₄⋊C₄×D₇₉

yes

characteristic

209

C₄

(C₂²⋊D₇₉)⋊C₄

yes

characteristic

210

C₄

#14579139

yes

characteristic

211

C₄

#14579143

yes

characteristic

212

C₂

#19098437

yes

characteristic

213

C₂

C₄×#11929613

yes

characteristic

214

C₂

#19098671

yes

characteristic

215

C₂

#19098704

yes

characteristic

216

C₂

#19098727

yes

characteristic

217

C₂

#19098849

yes

characteristic

218

C₂

#19098871

yes

characteristic

	subgroup	G/H
center	C₂³	C₂×D₃₁₆
commutator	C₂×C₄×C₇₉	C₂²×C₄
Frattini	C₂²×C₄	C₂²×D₇₉
Fitting	#336×C₇₉	C₂
socle, prime radical	C₂³×C₇₉	C₂×D₄
cosocle	C₂²×C₄×C₇₉	C₂³
hypercenter	#336	D₇₉
hypocenter	C₇₉	#1865
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #336

subgroup

G/H

center

C₂³

C₂×D₃₁₆

commutator

C₂×C₄×C₇₉

C₂²×C₄

Frattini

C₂²×C₄

C₂²×D₇₉

Fitting

#336×C₇₉

C₂

socle, prime radical

C₂³×C₇₉

C₂×D₄

cosocle

C₂²×C₄×C₇₉

C₂³

D₇₉

C₇₉

G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #336

N	H ≅ G/N	type
19. #14579086	C₄	semidirect
82. Dic₁₅₈	C₄⋊C₄	semidirect
110. C₇₉	#1865	semidirect

H ≅ G/N

type

19. #14579086

C₄

semidirect

82. Dic₁₅₈

C₄⋊C₄

semidirect

110. C₇₉

#1865

semidirect

Subgroups — #23763671

Conjugacy classes of subgroups

Complements