Group #13141544 — subgroups

Subgroups — #10588384⋊C₃ #13141544

Order 1728.

344 conjugacy classes of subgroups; only the 118 normal subgroups are shown.

normal subgroups only

This group has 344 conjugacy classes of subgroups — too many to draw. Only its 118 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×Dic₃₆⋊C₃	C₂	1	1	yes	maximal, characteristic
2	C₄×3₋¹⁺²⋊Q₈	C₂	1	2	yes	maximal
3	3₋¹⁺²×#97	C₂	1	1	yes	maximal, characteristic
4	#63377⋊C₃	C₂	1	1	yes	maximal, characteristic
5	#63376⋊C₃	C₂	1	2	yes	maximal
6	C₃×#4716	—	3	1	no	maximal
7	#10588384	C₃	1	1	yes	maximal, characteristic, complemented
8	C₂×3₋¹⁺²⋊Q₈	C₂²	1	2	yes	—
9	C₂×C₈×3₋¹⁺²	C₂²	1	1	yes	characteristic
10	C₂×C₈×3₋¹⁺²	C₂²	1	1	yes	characteristic
11	C₄²×3₋¹⁺²	C₂²	1	1	yes	characteristic
12	C₄⋊(3₋¹⁺²⋊C₄)	C₂²	1	2	yes	—
13	(3₋¹⁺²⋊C₄)⋊C₄	—	2	2	no	—
14	C₄×3₋¹⁺²⋊C₄	—	2	2	no	—
15	Dic₃₆⋊C₃	C₄	1	4	yes	complemented
16	C₂×C₃×Dic₁₂	—	3	1	no	—
17	C₃×C₄×Dic₆	—	3	2	no	—
18	C₃²×#97	D₃	1	1	yes	characteristic
19	C₃×#817	—	3	1	no	—
20	C₃×#816	—	3	2	no	—
21	C₂×Dic₃₆	C₂×C₃	1	1	yes	characteristic
22	C₄×Dic₁₈	C₂×C₃	1	2	yes	—
23	C₉×#97	—	2	1	no	—
24	C₉×#97	C₂×C₃	1	1	yes	characteristic
25	#63377	C₂×C₃	1	1	yes	characteristic
26	#63376	C₂×C₃	1	2	yes	—
27	C₂×C₄×3₋¹⁺²	D₄	1	2	yes	—
28	C₂×C₄×3₋¹⁺²	C₂³	1	1	yes	characteristic
29	C₂×3₋¹⁺²⋊C₄	—	2	2	no	—
30	C₂×3₋¹⁺²⋊C₄	—	2	2	no	—
31	3₋¹⁺²⋊Q₈	—	2	2	no	—
32	3₋¹⁺²⋊Q₈	C₂×C₄	1	4	yes	—
33	C₈×3₋¹⁺²	—	2	1	no	—
34	C₈×3₋¹⁺²	C₂×C₄	1	2	yes	—
35	C₃×#441	—	9	1	no	—
36	#4716	—	3	1	no	—
37	C₂×C₃×Dic₆	—	3	2	no	—
38	C₂×C₃²×C₈	C₂×D₃	1	1	yes	characteristic
39	C₂×C₃²×C₈	C₂×D₃	1	1	yes	characteristic
40	C₃²×C₄²	C₂×D₃	1	1	yes	characteristic
41	C₃×C₄⋊Dic₃	—	3	2	no	—
42	C₃×Dic₃⋊C₄	—	6	2	no	—
43	C₃×C₄×Dic₃	—	6	2	no	—
44	C₃×Dic₁₂	—	3	4	no	—
45	C₂×Dic₁₈	C₂²×C₃	1	2	yes	—
46	C₂×C₈×C₉	—	2	1	no	—
47	C₂×C₈×C₉	—	2	1	no	—
48	C₂×C₈×C₉	C₂²×C₃	1	1	yes	characteristic
49	C₂×C₈×C₉	C₂²×C₃	1	1	yes	characteristic
50	C₄²×C₉	—	2	1	no	—
51	C₄²×C₉	C₂²×C₃	1	1	yes	characteristic
52	C₄⋊Dic₉	C₂²×C₃	1	2	yes	—
53	Dic₉⋊C₄	—	2	2	no	—
54	C₄×Dic₉	—	2	2	no	—
55	Dic₃₆	C₃×C₄	1	4	yes	complemented
56	C₂²×3₋¹⁺²	C₂×D₄	1	1	yes	characteristic
57	C₄×3₋¹⁺²	—	2	2	no	—
58	C₄×3₋¹⁺²	C₂²×C₄	1	1	yes	characteristic
59	C₄×3₋¹⁺²	#41	1	1	yes	characteristic
60	3₋¹⁺²⋊C₄	—	2	4	no	—
61	3₋¹⁺²⋊C₄	—	4	2	no	—
62	C₂×C₃×Q₁₆	—	9	1	no	—
63	C₃×C₄×Q₈	—	9	2	no	—
64	C₂×Dic₁₂	—	3	1	no	—
65	C₄×Dic₆	—	3	2	no	—
66	C₃×#106	—	9	1	no	—
67	C₃×#103	—	9	2	no	—
68	C₃×#97	—	3	1	no	—
69	C₃×#97	C₃×D₃	1	1	yes	characteristic
70	#817	—	3	1	no	—
71	#816	—	3	2	no	—
72	C₂×C₃²×C₄	D₁₂	1	2	yes	—
73	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
74	C₂×C₃×Dic₃	—	6	2	no	—
75	C₂×C₃×Dic₃	—	6	2	no	—
76	C₃×Dic₆	—	3	4	no	—
77	C₃×Dic₆	—	6	2	no	—
78	C₃²×C₈	—	2	1	no	—
79	C₃²×C₈	C₄×D₃	1	2	yes	—
80	C₂×C₄×C₉	—	2	2	no	—
81	C₂×C₄×C₉	—	2	1	no	—
82	C₂×C₄×C₉	C₃×D₄	1	2	yes	—
83	C₂×C₄×C₉	C₂³×C₃	1	1	yes	characteristic
84	C₂×Dic₉	—	2	2	no	—
85	C₂×Dic₉	—	2	2	no	—
86	Dic₁₈	—	2	2	no	—
87	Dic₁₈	C₂×C₃×C₄	1	4	yes	—
88	C₈×C₉	—	2	2	no	—
89	C₈×C₉	—	2	1	no	—
90	C₈×C₉	—	2	2	no	—
91	C₈×C₉	C₂×C₃×C₄	1	2	yes	—
92	#441	—	9	1	no	Sylow
93	C₂×3₋¹⁺²	C₄×D₄	1	1	yes	characteristic
94	C₂×3₋¹⁺²	#137	1	2	yes	—
95	C₂×C₃×Q₈	—	9	2	no	—
96	C₂×Dic₆	—	3	2	no	—
97	C₃×Q₁₆	—	9	4	no	—
98	C₂×C₃×C₈	—	3	1	no	—
99	C₂×C₃×C₈	—	3	1	no	—
100	C₂×C₃×C₈	C₂×C₃×D₃	1	1	yes	characteristic
101	C₂×C₃×C₈	C₂×C₃×D₃	1	1	yes	characteristic
102	C₃×C₄⋊C₄	—	9	2	no	—
103	C₃×C₄⋊C₄	—	18	2	no	—
104	C₃×C₄²	—	3	1	no	—
105	C₃×C₄²	—	18	2	no	—
106	C₃×C₄²	C₂×C₃×D₃	1	1	yes	characteristic
107	C₄⋊Dic₃	—	3	2	no	—
108	Dic₃⋊C₄	—	6	2	no	—
109	C₄×Dic₃	—	6	2	no	—
110	Dic₁₂	—	3	4	no	—
111	C₂²×C₃²	C₂×D₁₂	1	1	yes	characteristic
112	C₃²×C₄	—	2	2	no	—
113	C₃²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
114	C₃²×C₄	#235	1	1	yes	characteristic
115	C₃×Dic₃	—	6	4	no	—
116	C₃×Dic₃	—	12	2	no	—
117	C₂²×C₉	—	2	1	no	—
118	C₂²×C₉	C₂×C₃×D₄	1	1	yes	characteristic
119	C₄×C₉	—	2	2	no	—
120	C₄×C₉	—	2	1	no	—
121	C₄×C₉	—	2	1	no	—
122	C₄×C₉	—	4	2	no	—
123	C₄×C₉	C₂²×C₃×C₄	1	1	yes	characteristic
124	C₄×C₉	C₃×#41	1	1	yes	characteristic
125	Dic₉	—	2	4	no	—
126	Dic₉	—	4	2	no	—
127	C₂×Q₁₆	—	9	1	no	—
128	C₄×Q₈	—	9	2	no	—
129	#106	—	9	1	no	—
130	#103	—	9	2	no	—
131	#97	AGL(1,ℤ/9)	1	1	yes	characteristic
132	3₋¹⁺²	#441	1	1	yes	characteristic, complemented, Sylow
133	C₃×Q₈	—	9	4	no	—
134	C₃×Q₈	—	18	2	no	—
135	C₂×C₃×C₄	—	3	2	no	—
136	C₂×C₃×C₄	—	3	1	no	—
137	C₂×C₃×C₄	—	18	2	no	—
138	C₂×C₃×C₄	—	18	2	no	—
139	C₂×C₃×C₄	C₃×D₁₂	1	2	yes	—
140	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
141	C₂×Dic₃	—	6	2	no	—
142	C₂×Dic₃	—	6	2	no	—
143	Dic₆	—	3	4	no	—
144	Dic₆	—	6	2	no	—
145	C₃×C₈	—	2	1	no	—
146	C₃×C₈	—	3	2	no	—
147	C₃×C₈	—	6	1	no	—
148	C₃×C₈	C₃×C₄×D₃	1	2	yes	—
149	C₂×C₃²	C₄×D₁₂	1	1	yes	characteristic
150	C₂×C₃²	#909	1	2	yes	—
151	C₂×C₉	—	2	2	no	—
152	C₂×C₉	—	2	1	no	—
153	C₂×C₉	C₃×C₄×D₄	1	1	yes	characteristic
154	C₂×C₉	C₃×#137	1	2	yes	—
155	C₂×Q₈	—	9	2	no	—
156	Q₁₆	—	9	4	no	—
157	C₂×C₈	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
158	C₂×C₈	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
159	C₄⋊C₄	—	9	2	no	—
160	C₄⋊C₄	—	18	2	no	—
161	C₄²	—	18	2	no	—
162	C₄²	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
163	C₂²×C₃	—	3	1	no	—
164	C₂²×C₃	C₂×C₃×D₁₂	1	1	yes	characteristic
165	C₃×C₄	—	2	2	no	—
166	C₃×C₄	—	3	1	no	—
167	C₃×C₄	—	3	1	no	—
168	C₃×C₄	—	6	2	no	—
169	C₃×C₄	—	18	4	no	—
170	C₃×C₄	—	36	2	no	—
171	C₃×C₄	C₂×C₃×C₄×D₃	1	1	yes	characteristic
172	C₃×C₄	C₃×#235	1	1	yes	characteristic
173	Dic₃	—	6	4	no	—
174	Dic₃	—	12	2	no	—
175	C₃²	#4716	1	1	yes	characteristic
176	C₉	—	2	1	no	—
177	C₉	C₃×#441	1	1	yes	characteristic, complemented
178	Q₈	—	9	4	no	—
179	Q₈	—	18	2	no	—
180	C₂×C₄	—	18	2	no	—
181	C₂×C₄	—	18	2	no	—
182	C₂×C₄	C₄⋊AGL(1,ℤ/9)	1	2	yes	—
183	C₂×C₄	C₂²×AGL(1,ℤ/9)	1	1	yes	characteristic
184	C₈	—	2	1	no	—
185	C₈	C₄×AGL(1,ℤ/9)	1	2	yes	—
186	C₂×C₃	—	3	2	no	—
187	C₂×C₃	—	3	1	no	—
188	C₂×C₃	C₃×C₄×D₁₂	1	1	yes	characteristic
189	C₂×C₃	C₃×#909	1	2	yes	—
190	C₂²	C₂×C₄⋊AGL(1,ℤ/9)	1	1	yes	characteristic
191	C₄	—	2	2	no	—
192	C₄	—	18	4	no	—
193	C₄	—	36	2	no	—
194	C₄	C₂×C₄×AGL(1,ℤ/9)	1	1	yes	characteristic
195	C₄	#3697⋊C₃	1	1	yes	characteristic
196	C₃	—	3	1	no	—
197	C₃	C₃×#4716	1	1	yes	characteristic
198	C₂	C₄×C₄⋊AGL(1,ℤ/9)	1	1	yes	characteristic
199	C₂	#63471⋊C₃	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×Dic₃₆⋊C₃

C₂

yes

maximal, characteristic

C₄×3₋¹⁺²⋊Q₈

C₂

yes

maximal

3₋¹⁺²×#97

C₂

yes

maximal, characteristic

#63377⋊C₃

C₂

yes

maximal, characteristic

#63376⋊C₃

C₂

yes

—

C₃

yes

maximal, characteristic, complemented

C₂×3₋¹⁺²⋊Q₈

C₂²

yes

—

C₂×C₈×3₋¹⁺²

C₂²

yes

characteristic

C₂×C₈×3₋¹⁺²

C₂²

yes

characteristic

C₄²×3₋¹⁺²

C₂²

yes

characteristic

C₄⋊(3₋¹⁺²⋊C₄)

C₂²

yes

—

(3₋¹⁺²⋊C₄)⋊C₄

—

C₄×3₋¹⁺²⋊C₄

—

Dic₃₆⋊C₃

C₄

yes

complemented

C₂×C₃×Dic₁₂

—

C₃×C₄×Dic₆

—

C₃²×#97

D₃

yes

characteristic

C₃×#817

—

C₃×#816

—

C₂×Dic₃₆

C₂×C₃

yes

characteristic

C₄×Dic₁₈

C₂×C₃

yes

—

C₉×#97

—

C₉×#97

C₂×C₃

yes

characteristic

#63377

C₂×C₃

yes

characteristic

#63376

C₂×C₃

yes

—

C₂×C₄×3₋¹⁺²

D₄

yes

—

C₂×C₄×3₋¹⁺²

C₂³

yes

characteristic

C₂×3₋¹⁺²⋊C₄

—

C₂×3₋¹⁺²⋊C₄

—

3₋¹⁺²⋊Q₈

—

3₋¹⁺²⋊Q₈

C₂×C₄

yes

—

C₈×3₋¹⁺²

—

C₈×3₋¹⁺²

C₂×C₄

yes

—

C₃×#441

—

#4716

—

C₂×C₃×Dic₆

—

C₂×C₃²×C₈

C₂×D₃

yes

characteristic

C₂×C₃²×C₈

C₂×D₃

yes

characteristic

C₃²×C₄²

C₂×D₃

yes

characteristic

C₃×C₄⋊Dic₃

—

C₃×Dic₃⋊C₄

—

C₃×C₄×Dic₃

—

C₃×Dic₁₂

—

C₂×Dic₁₈

C₂²×C₃

yes

—

C₂×C₈×C₉

—

C₂×C₈×C₉

—

C₂×C₈×C₉

C₂²×C₃

yes

characteristic

C₂×C₈×C₉

C₂²×C₃

yes

characteristic

C₄²×C₉

—

C₄²×C₉

C₂²×C₃

yes

characteristic

C₄⋊Dic₉

C₂²×C₃

yes

—

Dic₉⋊C₄

—

C₄×Dic₉

—

Dic₃₆

C₃×C₄

yes

complemented

C₂²×3₋¹⁺²

C₂×D₄

yes

characteristic

C₄×3₋¹⁺²

—

C₄×3₋¹⁺²

C₂²×C₄

yes

characteristic

C₄×3₋¹⁺²

#41

yes

characteristic

3₋¹⁺²⋊C₄

—

3₋¹⁺²⋊C₄

—

C₂×C₃×Q₁₆

—

C₃×C₄×Q₈

—

C₂×Dic₁₂

—

C₄×Dic₆

—

C₃×#106

—

C₃×#103

—

C₃×#97

—

C₃×#97

C₃×D₃

yes

characteristic

#817

—

#816

—

C₂×C₃²×C₄

D₁₂

yes

—

C₂×C₃²×C₄

C₂²×D₃

yes

characteristic

C₂×C₃×Dic₃

—

C₂×C₃×Dic₃

—

C₃×Dic₆

—

C₃×Dic₆

—

C₃²×C₈

—

C₃²×C₈

C₄×D₃

yes

—

C₂×C₄×C₉

—

C₂×C₄×C₉

—

C₂×C₄×C₉

C₃×D₄

yes

—

C₂×C₄×C₉

C₂³×C₃

yes

characteristic

C₂×Dic₉

—

C₂×Dic₉

—

Dic₁₈

—

Dic₁₈

C₂×C₃×C₄

yes

—

C₈×C₉

—

C₈×C₉

—

C₈×C₉

—

C₈×C₉

C₂×C₃×C₄

yes

—

#441

—

Sylow

C₂×3₋¹⁺²

C₄×D₄

yes

characteristic

C₂×3₋¹⁺²

#137

yes

—

C₂×C₃×Q₈

—

C₂×Dic₆

—

C₃×Q₁₆

—

C₂×C₃×C₈

—

C₂×C₃×C₈

—

100

C₂×C₃×C₈

C₂×C₃×D₃

yes

characteristic

101

C₂×C₃×C₈

C₂×C₃×D₃

yes

characteristic

102

C₃×C₄⋊C₄

—

103

C₃×C₄⋊C₄

—

104

C₃×C₄²

—

105

C₃×C₄²

—

106

C₃×C₄²

C₂×C₃×D₃

yes

characteristic

107

C₄⋊Dic₃

—

108

Dic₃⋊C₄

—

109

C₄×Dic₃

—

110

Dic₁₂

—

111

C₂²×C₃²

C₂×D₁₂

yes

characteristic

112

C₃²×C₄

—

113

C₃²×C₄

C₂×C₄×D₃

yes

characteristic

114

C₃²×C₄

#235

yes

characteristic

115

C₃×Dic₃

—

116

C₃×Dic₃

—

117

C₂²×C₉

—

118

C₂²×C₉

C₂×C₃×D₄

yes

characteristic

119

C₄×C₉

—

120

C₄×C₉

—

121

C₄×C₉

—

122

C₄×C₉

—

123

C₄×C₉

C₂²×C₃×C₄

yes

characteristic

124

C₄×C₉

C₃×#41

yes

characteristic

125

Dic₉

—

126

Dic₉

—

127

C₂×Q₁₆

—

128

C₄×Q₈

—

129

#106

—

130

#103

—

131

#97

AGL(1,ℤ/9)

yes

characteristic

132

3₋¹⁺²

#441

yes

characteristic, complemented, Sylow

133

C₃×Q₈

—

134

C₃×Q₈

—

135

C₂×C₃×C₄

—

136

C₂×C₃×C₄

—

137

C₂×C₃×C₄

—

138

C₂×C₃×C₄

—

139

C₂×C₃×C₄

C₃×D₁₂

yes

—

140

C₂×C₃×C₄

C₂²×C₃×D₃

yes

characteristic

141

C₂×Dic₃

—

142

C₂×Dic₃

—

143

Dic₆

—

144

Dic₆

—

145

C₃×C₈

—

146

C₃×C₈

—

147

C₃×C₈

—

148

C₃×C₈

C₃×C₄×D₃

yes

—

149

C₂×C₃²

C₄×D₁₂

yes

characteristic

150

C₂×C₃²

#909

yes

—

151

C₂×C₉

—

152

C₂×C₉

—

153

C₂×C₉

C₃×C₄×D₄

yes

characteristic

154

C₂×C₉

C₃×#137

yes

—

155

C₂×Q₈

—

156

Q₁₆

—

157

C₂×C₈

C₂×AGL(1,ℤ/9)

yes

characteristic

158

C₂×C₈

C₂×AGL(1,ℤ/9)

yes

characteristic

159

C₄⋊C₄

—

160

C₄⋊C₄

—

161

C₄²

—

162

C₄²

C₂×AGL(1,ℤ/9)

yes

characteristic

163

C₂²×C₃

—

164

C₂²×C₃

C₂×C₃×D₁₂

yes

characteristic

165

C₃×C₄

—

166

C₃×C₄

—

167

C₃×C₄

—

168

C₃×C₄

—

169

C₃×C₄

—

170

C₃×C₄

—

171

C₃×C₄

C₂×C₃×C₄×D₃

yes

characteristic

172

C₃×C₄

C₃×#235

yes

characteristic

173

Dic₃

—

174

Dic₃

—

175

C₃²

#4716

yes

characteristic

176

C₉

—

177

C₉

C₃×#441

yes

characteristic, complemented

178

Q₈

—

179

Q₈

—

180

C₂×C₄

—

181

C₂×C₄

—

182

C₂×C₄

C₄⋊AGL(1,ℤ/9)

yes

—

183

C₂×C₄

C₂²×AGL(1,ℤ/9)

yes

characteristic

184

C₈

—

185

C₈

C₄×AGL(1,ℤ/9)

yes

—

186

C₂×C₃

—

187

C₂×C₃

—

188

C₂×C₃

C₃×C₄×D₁₂

yes

characteristic

189

C₂×C₃

C₃×#909

yes

—

190

C₂²

C₂×C₄⋊AGL(1,ℤ/9)

yes

characteristic

191

C₄

—

192

C₄

—

193

C₄

—

194

C₄

C₂×C₄×AGL(1,ℤ/9)

yes

characteristic

195

C₄

#3697⋊C₃

yes

characteristic

196

C₃

—

197

C₃

C₃×#4716

yes

characteristic

198

C₂

C₄×C₄⋊AGL(1,ℤ/9)

yes

characteristic

199

C₂

#63471⋊C₃

yes

—

	subgroup	G/H
center	C₂²	C₂×C₄⋊AGL(1,ℤ/9)
commutator	C₄×C₉	C₂²×C₃×C₄
Frattini	C₂×C₃×C₄	C₂²×C₃×D₃
Fitting	3₋¹⁺²×#97	C₂
socle	C₂²×C₃	C₂×C₃×D₁₂
prime radical	C₂²×C₃²	C₂×D₁₂
cosocle	C₂×C₄×C₉	C₂³×C₃
hypercenter	#97	AGL(1,ℤ/9)
hypocenter	C₉	C₃×#441
LCS	G ▷ C₄×C₉ ▷ C₂×C₉ ▷ C₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #97

subgroup

G/H

center

C₂²

C₂×C₄⋊AGL(1,ℤ/9)

commutator

C₄×C₉

C₂²×C₃×C₄

Frattini

C₂×C₃×C₄

C₂²×C₃×D₃

Fitting

3₋¹⁺²×#97

C₂

socle

C₂²×C₃

C₂×C₃×D₁₂

prime radical

C₂²×C₃²

C₂×D₁₂

cosocle

C₂×C₄×C₉

C₂³×C₃

C₉

G ▷ C₄×C₉ ▷ C₂×C₉ ▷ C₉

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #97

N	H ≅ G/N	type
7. #10588384	C₃	semidirect
15. Dic₃₆⋊C₃	C₄	semidirect
55. Dic₃₆	C₃×C₄	semidirect
132. 3₋¹⁺²	#441	semidirect
177. C₉	C₃×#441	semidirect

H ≅ G/N

type

7. #10588384

C₃

semidirect

15. Dic₃₆⋊C₃

C₄

semidirect

55. Dic₃₆

C₃×C₄

semidirect

132. 3₋¹⁺²

#441

semidirect

177. C₉

C₃×#441

semidirect

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

subgroup	index
C₂×Dic₃₆⋊C₃	2
C₄×3₋¹⁺²⋊Q₈	2
3₋¹⁺²×#97	2
#63377⋊C₃	2
#63376⋊C₃	2
C₃×#4716	3
#10588384	3

subgroup

index

C₂×Dic₃₆⋊C₃

C₄×3₋¹⁺²⋊Q₈

3₋¹⁺²×#97

Subgroups — #10588384⋊C₃ #13141544

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #10588384⋊C3 #13141544

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #10588384⋊C₃ #13141544