Group #13144043 — subgroups

Subgroups — #13144043

Order 1728.

470 conjugacy classes of subgroups; only the 181 normal subgroups are shown.

normal subgroups only

This group has 470 conjugacy classes of subgroups — too many to draw. Only its 181 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	C₄×#6226	C₂	1	1	yes	maximal, characteristic
2	C₃×C₉×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
3	#11720538	C₂	1	2	yes	maximal
4	#11720537	C₂	1	2	yes	maximal
5	C₄×C₃⋊(C₉⋊C₈)	C₂	1	1	yes	maximal, characteristic
6	#10592530	—	3	1	no	maximal
7	#10588509	—	3	3	no	maximal
8	C₂×#6226	C₄	1	1	yes	characteristic
9	C₂×C₃×C₈×C₉	C₂²	1	2	yes	—
10	C₃×C₄²×C₉	C₂²	1	1	yes	characteristic
11	C₄⋊(C₃⋊Dic₉)	C₄	1	1	yes	characteristic
12	#88534	C₄	1	2	yes	—
13	C₄×C₃⋊Dic₉	C₂²	1	2	yes	—
14	C₂×C₃⋊(C₉⋊C₈)	C₂²	1	1	yes	characteristic
15	C₂×C₃⋊(C₉⋊C₈)	C₂²	1	1	yes	characteristic
16	C₄×#634	—	3	1	no	—
17	C₃²×C₄⋊C₈	D₃	1	1	yes	characteristic
18	#63642	—	3	2	no	—
19	#63641	—	3	2	no	—
20	C₄×C₃⋊(C₃⋊C₈)	—	3	1	no	—
21	C₄×Dic₁₈	—	3	3	no	—
22	C₉×C₄⋊C₈	D₃	1	3	yes	—
23	#63375	—	3	6	no	—
24	Dic₉⋊C₈	—	3	6	no	—
25	C₄×C₉⋊C₈	—	3	3	no	—
26	C₂×C₃×C₄×C₉	C₂×C₄	1	1	yes	characteristic
27	C₂×C₃×C₄×C₉	C₂×C₄	1	1	yes	characteristic
28	C₂×C₃×C₄×C₉	C₂³	1	1	yes	characteristic
29	C₂×C₃⋊Dic₉	C₂×C₄	1	2	yes	—
30	C₂×C₃⋊Dic₉	C₂×C₄	1	2	yes	—
31	#6226	—	2	2	no	—
32	C₃×C₈×C₉	—	2	2	no	—
33	C₃⋊(C₉⋊C₈)	—	2	1	no	—
34	C₃⋊(C₉⋊C₈)	Q₈	1	2	yes	complemented
35	#4831	—	9	3	no	—
36	#4831	—	9	1	no	—
37	C₂×#634	—	3	1	no	—
38	C₂×C₃²×C₈	C₂×D₃	1	2	yes	—
39	C₃²×C₄²	C₂×D₃	1	1	yes	characteristic
40	C₄⋊(C₃⋊Dic₃)	—	3	1	no	—
41	#3750	—	3	2	no	—
42	C₄×C₃⋊Dic₃	—	3	2	no	—
43	C₂×C₃⋊(C₃⋊C₈)	—	3	1	no	—
44	C₂×C₃⋊(C₃⋊C₈)	—	3	1	no	—
45	C₂×Dic₁₈	—	3	3	no	—
46	C₂×C₈×C₉	C₂×D₃	1	6	yes	—
47	C₄²×C₉	C₂×D₃	1	3	yes	—
48	C₄⋊Dic₉	—	3	3	no	—
49	Dic₉⋊C₄	—	3	6	no	—
50	C₄×Dic₉	—	3	6	no	—
51	C₂×C₉⋊C₈	—	3	3	no	—
52	C₂×C₉⋊C₈	—	3	3	no	—
53	C₂²×C₃×C₉	C₂²×C₄	1	1	yes	characteristic
54	C₃×C₄×C₉	—	2	1	no	—
55	C₃×C₄×C₉	M₁₆	1	2	yes	—
56	C₃×C₄×C₉	C₂×Q₈	1	1	yes	characteristic
57	C₃×C₄×C₉	#41	1	1	yes	characteristic
58	C₃⋊Dic₉	—	2	2	no	—
59	C₃⋊Dic₉	—	2	2	no	—
60	C₄×Dic₆	—	9	3	no	—
61	C₄×Dic₆	—	9	1	no	—
62	C₃×C₄⋊C₈	D₉	1	3	yes	—
63	C₃×C₄⋊C₈	C₃⋊D₃	1	1	yes	characteristic
64	#815	—	9	6	no	—
65	#815	—	9	2	no	—
66	Dic₃⋊C₈	—	9	6	no	—
67	Dic₃⋊C₈	—	9	2	no	—
68	C₄×C₃⋊C₈	—	9	3	no	—
69	C₄×C₃⋊C₈	—	9	1	no	—
70	C₂×C₃²×C₄	C₄×D₃	1	1	yes	characteristic
71	C₂×C₃²×C₄	C₄×D₃	1	1	yes	characteristic
72	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
73	C₂×C₃⋊Dic₃	—	3	2	no	—
74	C₂×C₃⋊Dic₃	—	3	2	no	—
75	#634	—	6	2	no	—
76	C₃²×C₈	—	2	2	no	—
77	C₃⋊(C₃⋊C₈)	—	3	2	no	—
78	C₃⋊(C₃⋊C₈)	—	6	1	no	—
79	C₂×C₄×C₉	C₄×D₃	1	3	yes	—
80	C₂×C₄×C₉	C₄×D₃	1	3	yes	—
81	C₂×C₄×C₉	C₂²×D₃	1	3	yes	—
82	C₂×Dic₉	—	3	6	no	—
83	C₂×Dic₉	—	3	6	no	—
84	Dic₁₈	—	6	6	no	—
85	C₈×C₉	—	2	6	no	—
86	C₉⋊C₈	—	3	6	no	—
87	C₉⋊C₈	—	6	3	no	—
88	#446	—	27	1	no	Sylow
89	C₂×C₃×C₉	C₄×Q₈	1	1	yes	characteristic
90	C₂×C₃×C₉	C₂×M₁₆	1	1	yes	characteristic
91	C₂×C₃×C₉	#131	1	1	yes	characteristic
92	C₂×Dic₆	—	9	3	no	—
93	C₂×Dic₆	—	9	1	no	—
94	C₂×C₃×C₈	C₂×D₉	1	6	yes	—
95	C₂×C₃×C₈	C₂×C₃⋊D₃	1	2	yes	—
96	C₃×C₄²	C₂×D₉	1	3	yes	—
97	C₃×C₄²	C₂×C₃⋊D₃	1	1	yes	characteristic
98	C₄⋊Dic₃	—	9	3	no	—
99	C₄⋊Dic₃	—	9	1	no	—
100	Dic₃⋊C₄	—	9	6	no	—
101	Dic₃⋊C₄	—	9	2	no	—
102	C₄×Dic₃	—	9	6	no	—
103	C₄×Dic₃	—	9	2	no	—
104	C₂×C₃⋊C₈	—	9	3	no	—
105	C₂×C₃⋊C₈	—	9	1	no	—
106	C₂×C₃⋊C₈	—	9	3	no	—
107	C₂×C₃⋊C₈	—	9	1	no	—
108	C₂²×C₃²	C₂×C₄×D₃	1	1	yes	characteristic
109	C₃²×C₄	—	2	1	no	—
110	C₃²×C₄	ΓL(1,𝔽₂₅)	1	2	yes	—
111	C₃²×C₄	#237	1	1	yes	characteristic
112	C₃²×C₄	D₃×Q₈	1	1	yes	characteristic
113	C₃⋊Dic₃	—	6	2	no	—
114	C₃⋊Dic₃	—	6	2	no	—
115	C₂²×C₉	C₂×C₄×D₃	1	3	yes	—
116	C₄×C₉	—	2	3	no	—
117	C₄×C₉	ΓL(1,𝔽₂₅)	1	6	yes	—
118	C₄×C₉	#237	1	3	yes	—
119	C₄×C₉	D₃×Q₈	1	3	yes	—
120	Dic₉	—	6	6	no	—
121	Dic₉	—	6	6	no	—
122	C₄×Q₈	—	27	1	no	—
123	C₄⋊C₈	—	27	2	no	—
124	C₄⋊C₈	C₃⋊D₉	1	1	yes	characteristic
125	#97	—	27	2	no	—
126	C₄×C₈	—	27	1	no	—
127	C₃×C₉	#446	1	1	yes	characteristic, complemented, Sylow
128	C₂×C₃×C₄	C₄×D₉	1	3	yes	—
129	C₂×C₃×C₄	C₄×D₉	1	3	yes	—
130	C₂×C₃×C₄	C₂²×D₉	1	3	yes	—
131	C₂×C₃×C₄	C₄×C₃⋊D₃	1	1	yes	characteristic
132	C₂×C₃×C₄	C₄×C₃⋊D₃	1	1	yes	characteristic
133	C₂×C₃×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
134	C₂×Dic₃	—	9	6	no	—
135	C₂×Dic₃	—	9	6	no	—
136	C₂×Dic₃	—	9	2	no	—
137	C₂×Dic₃	—	9	2	no	—
138	Dic₆	—	18	6	no	—
139	Dic₆	—	18	2	no	—
140	C₃×C₈	—	2	6	no	—
141	C₃×C₈	—	2	2	no	—
142	C₃⋊C₈	—	9	6	no	—
143	C₃⋊C₈	—	9	2	no	—
144	C₃⋊C₈	—	18	3	no	—
145	C₃⋊C₈	—	18	1	no	—
146	C₂×C₃²	#887	1	1	yes	characteristic
147	C₂×C₃²	C₂×ΓL(1,𝔽₂₅)	1	1	yes	characteristic
148	C₂×C₃²	#907	1	1	yes	characteristic
149	C₂×C₉	#887	1	3	yes	—
150	C₂×C₉	C₂×ΓL(1,𝔽₂₅)	1	3	yes	—
151	C₂×C₉	#907	1	3	yes	—
152	C₂×Q₈	—	27	1	no	—
153	C₂×C₈	—	27	1	no	—
154	C₂×C₈	—	27	1	no	—
155	C₂×C₈	C₂×C₃⋊D₉	1	2	yes	—
156	C₄⋊C₄	—	27	2	no	—
157	C₄⋊C₄	—	27	1	no	—
158	C₄²	—	27	2	no	—
159	C₄²	C₂×C₃⋊D₉	1	1	yes	characteristic
160	C₂²×C₃	C₂×C₄×D₉	1	3	yes	—
161	C₂²×C₃	C₂×C₄×C₃⋊D₃	1	1	yes	characteristic
162	C₃×C₄	—	2	1	no	—
163	C₃×C₄	—	2	3	no	—
164	C₃×C₄	#3663	1	6	yes	—
165	C₃×C₄	#3699	1	3	yes	—
166	C₃×C₄	Q₈×D₉	1	3	yes	—
167	C₃×C₄	#3743	1	2	yes	—
168	C₃×C₄	#3830	1	1	yes	characteristic
169	C₃×C₄	Q₈×C₃⋊D₃	1	1	yes	characteristic
170	Dic₃	—	18	2	no	—
171	Dic₃	—	18	2	no	—
172	Dic₃	—	18	6	no	—
173	Dic₃	—	18	6	no	—
174	C₃²	#4831	1	1	yes	characteristic
175	C₉	#4831	1	3	yes	complemented
176	Q₈	—	54	2	no	—
177	C₂×C₄	—	27	2	no	—
178	C₂×C₄	—	27	2	no	—
179	C₂×C₄	C₄×C₃⋊D₉	1	1	yes	characteristic
180	C₂×C₄	C₄×C₃⋊D₉	1	1	yes	characteristic
181	C₂×C₄	C₂²×C₃⋊D₉	1	1	yes	characteristic
182	C₈	—	2	2	no	—
183	C₈	—	27	2	no	—
184	C₈	—	54	1	no	—
185	C₂×C₃	#63449	1	3	yes	—
186	C₂×C₃	C₂×#3663	1	3	yes	—
187	C₂×C₃	#63469	1	3	yes	—
188	C₂×C₃	#64096	1	1	yes	characteristic
189	C₂×C₃	C₂×#3743	1	1	yes	characteristic
190	C₂×C₃	#64116	1	1	yes	characteristic
191	C₂²	C₂×C₄×C₃⋊D₉	1	1	yes	characteristic
192	C₄	—	2	1	no	—
193	C₄	—	54	2	no	—
194	C₄	—	54	2	no	—
195	C₄	#88523	1	2	yes	—
196	C₄	#88742	1	1	yes	characteristic
197	C₄	Q₈×C₃⋊D₉	1	1	yes	characteristic
198	C₃	#10588509	1	3	yes	complemented
199	C₃	#10592530	1	1	yes	characteristic
200	C₂	#11721743	1	1	yes	characteristic
201	C₂	C₂×#88523	1	1	yes	characteristic
202	C₂	#11721782	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₄×#6226

C₂

yes

maximal, characteristic

C₃×C₉×C₄⋊C₈

C₂

yes

maximal, characteristic

#11720538

C₂

yes

maximal

#11720537

C₂

yes

maximal

C₄×C₃⋊(C₉⋊C₈)

C₂

yes

maximal, characteristic

—

—

C₄

yes

characteristic

C₂×C₃×C₈×C₉

C₂²

yes

—

C₃×C₄²×C₉

C₂²

yes

characteristic

C₄⋊(C₃⋊Dic₉)

C₄

yes

characteristic

#88534

C₄

yes

—

C₄×C₃⋊Dic₉

C₂²

yes

—

C₂×C₃⋊(C₉⋊C₈)

C₂²

yes

characteristic

C₂×C₃⋊(C₉⋊C₈)

C₂²

yes

characteristic

C₄×#634

—

C₃²×C₄⋊C₈

D₃

yes

characteristic

#63642

—

#63641

—

C₄×C₃⋊(C₃⋊C₈)

—

C₄×Dic₁₈

—

C₉×C₄⋊C₈

D₃

yes

—

#63375

—

Dic₉⋊C₈

—

C₄×C₉⋊C₈

—

C₂×C₃×C₄×C₉

C₂×C₄

yes

characteristic

C₂×C₃×C₄×C₉

C₂×C₄

yes

characteristic

C₂×C₃×C₄×C₉

C₂³

yes

characteristic

C₂×C₃⋊Dic₉

C₂×C₄

yes

—

C₂×C₃⋊Dic₉

C₂×C₄

yes

—

#6226

—

C₃×C₈×C₉

—

C₃⋊(C₉⋊C₈)

—

C₃⋊(C₉⋊C₈)

Q₈

yes

—

—

—

C₂×C₃²×C₈

C₂×D₃

yes

—

C₃²×C₄²

C₂×D₃

yes

characteristic

C₄⋊(C₃⋊Dic₃)

—

#3750

—

C₄×C₃⋊Dic₃

—

C₂×C₃⋊(C₃⋊C₈)

—

C₂×C₃⋊(C₃⋊C₈)

—

C₂×Dic₁₈

—

C₂×C₈×C₉

C₂×D₃

yes

—

C₄²×C₉

C₂×D₃

yes

—

C₄⋊Dic₉

—

Dic₉⋊C₄

—

C₄×Dic₉

—

C₂×C₉⋊C₈

—

C₂×C₉⋊C₈

—

C₂²×C₃×C₉

C₂²×C₄

yes

characteristic

C₃×C₄×C₉

—

C₃×C₄×C₉

M₁₆

yes

—

C₃×C₄×C₉

C₂×Q₈

yes

characteristic

C₃×C₄×C₉

#41

yes

characteristic

C₃⋊Dic₉

—

C₃⋊Dic₉

—

C₄×Dic₆

—

C₄×Dic₆

—

C₃×C₄⋊C₈

D₉

yes

—

C₃×C₄⋊C₈

C₃⋊D₃

yes

characteristic

#815

—

#815

—

Dic₃⋊C₈

—

Dic₃⋊C₈

—

C₄×C₃⋊C₈

—

C₄×C₃⋊C₈

—

C₂×C₃²×C₄

C₄×D₃

yes

characteristic

C₂×C₃²×C₄

C₄×D₃

yes

characteristic

C₂×C₃²×C₄

C₂²×D₃

yes

characteristic

C₂×C₃⋊Dic₃

—

C₂×C₃⋊Dic₃

—

#634

—

C₃²×C₈

—

C₃⋊(C₃⋊C₈)

—

C₃⋊(C₃⋊C₈)

—

C₂×C₄×C₉

C₄×D₃

yes

—

C₂×C₄×C₉

C₄×D₃

yes

—

C₂×C₄×C₉

C₂²×D₃

yes

—

C₂×Dic₉

—

C₂×Dic₉

—

Dic₁₈

—

C₈×C₉

—

C₉⋊C₈

—

C₉⋊C₈

—

#446

—

Sylow

C₂×C₃×C₉

C₄×Q₈

yes

characteristic

C₂×C₃×C₉

C₂×M₁₆

yes

characteristic

C₂×C₃×C₉

#131

yes

characteristic

C₂×Dic₆

—

C₂×Dic₆

—

C₂×C₃×C₈

C₂×D₉

yes

—

C₂×C₃×C₈

C₂×C₃⋊D₃

yes

—

C₃×C₄²

C₂×D₉

yes

—

C₃×C₄²

C₂×C₃⋊D₃

yes

characteristic

C₄⋊Dic₃

—

C₄⋊Dic₃

—

100

Dic₃⋊C₄

—

101

Dic₃⋊C₄

—

102

C₄×Dic₃

—

103

C₄×Dic₃

—

104

C₂×C₃⋊C₈

—

105

C₂×C₃⋊C₈

—

106

C₂×C₃⋊C₈

—

107

C₂×C₃⋊C₈

—

108

C₂²×C₃²

C₂×C₄×D₃

yes

characteristic

109

C₃²×C₄

—

110

C₃²×C₄

ΓL(1,𝔽₂₅)

yes

—

111

C₃²×C₄

#237

yes

characteristic

112

C₃²×C₄

D₃×Q₈

yes

characteristic

113

C₃⋊Dic₃

—

114

C₃⋊Dic₃

—

115

C₂²×C₉

C₂×C₄×D₃

yes

—

116

C₄×C₉

—

117

C₄×C₉

ΓL(1,𝔽₂₅)

yes

—

118

C₄×C₉

#237

yes

—

119

C₄×C₉

D₃×Q₈

yes

—

120

Dic₉

—

121

Dic₉

—

122

C₄×Q₈

—

123

C₄⋊C₈

—

124

C₄⋊C₈

C₃⋊D₉

yes

characteristic

125

#97

—

126

C₄×C₈

—

127

C₃×C₉

#446

yes

characteristic, complemented, Sylow

128

C₂×C₃×C₄

C₄×D₉

yes

—

129

C₂×C₃×C₄

C₄×D₉

yes

—

130

C₂×C₃×C₄

C₂²×D₉

yes

—

131

C₂×C₃×C₄

C₄×C₃⋊D₃

yes

characteristic

132

C₂×C₃×C₄

C₄×C₃⋊D₃

yes

characteristic

133

C₂×C₃×C₄

C₂²×C₃⋊D₃

yes

characteristic

134

C₂×Dic₃

—

135

C₂×Dic₃

—

136

C₂×Dic₃

—

137

C₂×Dic₃

—

138

Dic₆

—

139

Dic₆

—

140

C₃×C₈

—

141

C₃×C₈

—

142

C₃⋊C₈

—

143

C₃⋊C₈

—

144

C₃⋊C₈

—

145

C₃⋊C₈

—

146

C₂×C₃²

#887

yes

characteristic

147

C₂×C₃²

C₂×ΓL(1,𝔽₂₅)

yes

characteristic

148

C₂×C₃²

#907

yes

characteristic

149

C₂×C₉

#887

yes

—

150

C₂×C₉

C₂×ΓL(1,𝔽₂₅)

yes

—

151

C₂×C₉

#907

yes

—

152

C₂×Q₈

—

153

C₂×C₈

—

154

C₂×C₈

—

155

C₂×C₈

C₂×C₃⋊D₉

yes

—

156

C₄⋊C₄

—

157

C₄⋊C₄

—

158

C₄²

—

159

C₄²

C₂×C₃⋊D₉

yes

characteristic

160

C₂²×C₃

C₂×C₄×D₉

yes

—

161

C₂²×C₃

C₂×C₄×C₃⋊D₃

yes

characteristic

162

C₃×C₄

—

163

C₃×C₄

—

164

C₃×C₄

#3663

yes

—

165

C₃×C₄

#3699

yes

—

166

C₃×C₄

Q₈×D₉

yes

—

167

C₃×C₄

#3743

yes

—

168

C₃×C₄

#3830

yes

characteristic

169

C₃×C₄

Q₈×C₃⋊D₃

yes

characteristic

170

Dic₃

—

171

Dic₃

—

172

Dic₃

—

173

Dic₃

—

174

C₃²

#4831

yes

characteristic

175

C₉

#4831

yes

complemented

176

Q₈

—

177

C₂×C₄

—

178

C₂×C₄

—

179

C₂×C₄

C₄×C₃⋊D₉

yes

characteristic

180

C₂×C₄

C₄×C₃⋊D₉

yes

characteristic

181

C₂×C₄

C₂²×C₃⋊D₉

yes

characteristic

182

C₈

—

183

C₈

—

184

C₈

—

185

C₂×C₃

#63449

yes

—

186

C₂×C₃

C₂×#3663

yes

—

187

C₂×C₃

#63469

yes

—

188

C₂×C₃

#64096

yes

characteristic

189

C₂×C₃

C₂×#3743

yes

characteristic

190

C₂×C₃

#64116

yes

characteristic

191

C₂²

C₂×C₄×C₃⋊D₉

yes

characteristic

192

C₄

—

193

C₄

—

194

C₄

—

195

C₄

#88523

yes

—

196

C₄

#88742

yes

characteristic

197

C₄

Q₈×C₃⋊D₉

yes

characteristic

198

C₃

#10588509

yes

complemented

199

C₃

#10592530

yes

characteristic

200

C₂

#11721743

yes

characteristic

201

C₂

C₂×#88523

yes

characteristic

202

C₂

#11721782

yes

characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₃⋊D₉
commutator	C₂²×C₃×C₉	C₂²×C₄
Frattini	C₂×C₃×C₄	C₂²×C₃⋊D₃
Fitting	C₃×C₉×C₄⋊C₈	C₂
socle, prime radical	C₂²×C₃²	C₂×C₄×D₃
cosocle	C₂×C₃×C₄×C₉	C₂³
hypercenter	C₄⋊C₈	C₃⋊D₉
hypocenter	C₃×C₉	#446
LCS	G ▷ C₂²×C₃×C₉ ▷ C₃×C₉
UCS	C₁ ◁ C₂×C₄ ◁ C₄⋊C₈

subgroup

G/H

center

C₂×C₄

C₂²×C₃⋊D₉

commutator

C₂²×C₃×C₉

C₂²×C₄

Frattini

C₂×C₃×C₄

C₂²×C₃⋊D₃

Fitting

C₃×C₉×C₄⋊C₈

C₂

socle, prime radical

C₂²×C₃²

C₂×C₄×D₃

cosocle

C₂×C₃×C₄×C₉

C₂³

hypercenter

C₄⋊C₈

C₃⋊D₉

hypocenter

C₃×C₉

#446

LCS

G ▷ C₂²×C₃×C₉ ▷ C₃×C₉

UCS

C₁ ◁ C₂×C₄ ◁ C₄⋊C₈

N	H ≅ G/N	type
34. C₃⋊(C₉⋊C₈)	Q₈	semidirect
127. C₃×C₉	#446	semidirect
175. C₉	#4831	semidirect
198. C₃	#10588509	semidirect

H ≅ G/N

type

34. C₃⋊(C₉⋊C₈)

Q₈

semidirect

127. C₃×C₉

#446

semidirect

175. C₉

#4831

semidirect

198. C₃

#10588509

semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₄×#6226	2
C₃×C₉×C₄⋊C₈	2
#11720538	2
#11720537	2
C₄×C₃⋊(C₉⋊C₈)	2
#10592530	3
#10588509	3

subgroup

index

C₃×C₉×C₄⋊C₈

C₄×C₃⋊(C₉⋊C₈)

Subgroups — #13144043

Conjugacy classes of subgroups

Complements

Maximal subgroups