Group #11766749 — subgroups

Subgroups — C₉×#2028 #11766749

Order 1152.

369 conjugacy classes of subgroups; only the 126 normal subgroups are shown.

normal subgroups only

This group has 369 conjugacy classes of subgroups — too many to draw. Only its 126 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	C₉×#544	C₂	1	1	yes	maximal, characteristic
2	C₉×#419	C₂	1	2	yes	maximal
3	C₉×#391	C₂	1	1	yes	maximal, characteristic
4	C₉×#343	C₂	1	1	yes	maximal, characteristic
5	C₉×#339	C₂	1	2	yes	maximal
6	C₃×#2028	C₃	1	1	yes	maximal, characteristic
7	C₂²×Q₈×C₉	C₂²	1	1	yes	characteristic
8	C₂×C₉×M₁₆	C₂²	1	2	yes	—
9	C₉×C₄⋊Q₈	—	2	2	no	—
10	C₉×#125	—	2	2	no	—
11	C₉×C₂²⋊Q₈	—	2	2	no	—
12	C₉×#117	C₂²	1	2	yes	—
13	C₂×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic
14	C₂×C₄²×C₉	C₂²	1	1	yes	characteristic
15	C₉×#103	—	2	2	no	—
16	C₉×#103	—	2	2	no	—
17	C₉×#95	—	2	2	no	—
18	C₃×#544	C₂×C₃	1	1	yes	characteristic
19	C₃×#419	C₂×C₃	1	2	yes	—
20	C₃×#391	C₂×C₃	1	1	yes	characteristic
21	C₃×#343	C₂×C₃	1	1	yes	characteristic
22	C₃×#339	C₂×C₃	1	2	yes	—
23	C₂×Q₈×C₉	—	2	2	no	—
24	C₂×Q₈×C₉	—	2	1	no	—
25	C₂×Q₈×C₉	—	2	2	no	—
26	C₂×Q₈×C₉	—	2	2	no	—
27	C₂×Q₈×C₉	Q₈	1	2	yes	complemented
28	C₂²×C₄×C₉	—	2	1	no	—
29	C₂²×C₄×C₉	—	2	1	no	—
30	C₂²×C₄×C₉	D₄	1	2	yes	—
31	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
32	C₉×M₁₆	—	2	2	no	—
33	C₉×M₁₆	—	2	2	no	—
34	C₂×C₈×C₉	—	2	2	no	—
35	C₉×C₄⋊C₄	—	2	2	no	—
36	C₉×C₄⋊C₄	—	2	4	no	—
37	C₉×C₄⋊C₄	—	2	2	no	—
38	C₉×C₄⋊C₄	D₄	1	2	yes	—
39	C₉×C₄⋊C₄	D₄	1	2	yes	—
40	C₉×C₂²⋊C₄	—	2	2	no	—
41	C₄²×C₉	—	2	2	no	—
42	C₄²×C₉	—	2	2	no	—
43	#2028	C₉	1	1	yes	characteristic, direct product factor, Sylow
44	C₂²×C₃×Q₈	C₂²×C₃	1	1	yes	characteristic
45	C₂×C₃×M₁₆	C₂²×C₃	1	2	yes	—
46	C₃×C₄⋊Q₈	—	2	2	no	—
47	C₃×#125	—	2	2	no	—
48	C₃×C₂²⋊Q₈	—	2	2	no	—
49	C₃×#117	C₂²×C₃	1	2	yes	—
50	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
51	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
52	C₃×#103	—	2	2	no	—
53	C₃×#103	—	2	2	no	—
54	C₃×#95	—	2	2	no	—
55	C₂³×C₉	C₂×D₄	1	1	yes	characteristic
56	Q₈×C₉	—	2	4	no	—
57	Q₈×C₉	—	4	2	no	—
58	Q₈×C₉	—	8	2	no	—
59	C₂×C₄×C₉	—	2	2	no	—
60	C₂×C₄×C₉	—	2	2	no	—
61	C₂×C₄×C₉	—	2	2	no	—
62	C₂×C₄×C₉	—	2	2	no	—
63	C₂×C₄×C₉	—	2	2	no	—
64	C₂×C₄×C₉	—	4	1	no	—
65	C₂×C₄×C₉	—	4	1	no	—
66	C₂×C₄×C₉	—	4	1	no	—
67	C₂×C₄×C₉	—	4	1	no	—
68	C₂×C₄×C₉	—	4	2	no	—
69	C₂×C₄×C₉	C₂×D₄	1	2	yes	—
70	C₂×C₄×C₉	C₂×Q₈	1	1	yes	characteristic
71	C₂×C₄×C₉	#41	1	2	yes	—
72	C₂×C₄×C₉	#41	1	1	yes	characteristic
73	C₈×C₉	—	4	2	no	—
74	#544	C₂×C₉	1	1	yes	characteristic
75	#419	C₂×C₉	1	2	yes	—
76	#391	C₂×C₉	1	1	yes	characteristic
77	#343	C₂×C₉	1	1	yes	characteristic
78	#339	C₂×C₉	1	2	yes	—
79	C₂×C₃×Q₈	—	2	2	no	—
80	C₂×C₃×Q₈	—	2	1	no	—
81	C₂×C₃×Q₈	—	2	2	no	—
82	C₂×C₃×Q₈	—	2	2	no	—
83	C₂×C₃×Q₈	C₃×Q₈	1	2	yes	—
84	C₂²×C₃×C₄	—	2	1	no	—
85	C₂²×C₃×C₄	—	2	1	no	—
86	C₂²×C₃×C₄	C₃×D₄	1	2	yes	—
87	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
88	C₃×M₁₆	—	2	2	no	—
89	C₃×M₁₆	—	2	2	no	—
90	C₂×C₃×C₈	—	2	2	no	—
91	C₃×C₄⋊C₄	—	2	2	no	—
92	C₃×C₄⋊C₄	—	2	4	no	—
93	C₃×C₄⋊C₄	—	2	2	no	—
94	C₃×C₄⋊C₄	C₃×D₄	1	2	yes	—
95	C₃×C₄⋊C₄	C₃×D₄	1	2	yes	—
96	C₃×C₂²⋊C₄	—	2	2	no	—
97	C₃×C₄²	—	2	2	no	—
98	C₃×C₄²	—	2	2	no	—
99	C₂²×C₉	—	2	1	no	—
100	C₂²×C₉	—	2	1	no	—
101	C₂²×C₉	#120	1	1	yes	characteristic
102	C₂²×C₉	C₂²⋊Q₈	1	1	yes	characteristic
103	C₂²×C₉	#124	1	1	yes	characteristic
104	C₄×C₉	—	4	2	no	—
105	C₄×C₉	—	4	2	no	—
106	C₄×C₉	—	4	2	no	—
107	C₄×C₉	—	4	2	no	—
108	C₄×C₉	—	4	2	no	—
109	C₄×C₉	C₂²⋊Q₈	1	2	yes	—
110	C₄×C₉	#124	1	2	yes	—
111	C₂²×Q₈	C₂²×C₉	1	1	yes	characteristic
112	C₂×M₁₆	C₂²×C₉	1	2	yes	—
113	C₄⋊Q₈	—	2	2	no	—
114	#125	—	2	2	no	—
115	C₂²⋊Q₈	—	2	2	no	—
116	#117	C₂²×C₉	1	2	yes	—
117	C₂×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic
118	C₂×C₄²	C₂²×C₉	1	1	yes	characteristic
119	#103	—	2	2	no	—
120	#103	—	2	2	no	—
121	#95	—	2	2	no	—
122	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
123	C₃×Q₈	—	2	4	no	—
124	C₃×Q₈	—	4	2	no	—
125	C₃×Q₈	—	8	2	no	—
126	C₂×C₃×C₄	—	2	2	no	—
127	C₂×C₃×C₄	—	2	2	no	—
128	C₂×C₃×C₄	—	2	2	no	—
129	C₂×C₃×C₄	—	2	2	no	—
130	C₂×C₃×C₄	—	2	2	no	—
131	C₂×C₃×C₄	—	4	1	no	—
132	C₂×C₃×C₄	—	4	1	no	—
133	C₂×C₃×C₄	—	4	1	no	—
134	C₂×C₃×C₄	—	4	1	no	—
135	C₂×C₃×C₄	—	4	2	no	—
136	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
137	C₂×C₃×C₄	C₂×C₃×Q₈	1	1	yes	characteristic
138	C₂×C₃×C₄	C₃×#41	1	2	yes	—
139	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
140	C₃×C₈	—	4	2	no	—
141	C₂×C₉	—	2	1	no	—
142	C₂×C₉	—	2	1	no	—
143	C₂×C₉	#393	1	1	yes	characteristic
144	C₂×C₉	#455	1	1	yes	characteristic
145	C₂×C₉	#456	1	1	yes	characteristic
146	C₂×Q₈	—	2	2	no	—
147	C₂×Q₈	—	2	1	no	—
148	C₂×Q₈	—	2	2	no	—
149	C₂×Q₈	—	2	2	no	—
150	C₂×Q₈	Q₈×C₉	1	2	yes	complemented
151	C₂²×C₄	—	2	1	no	—
152	C₂²×C₄	—	2	1	no	—
153	C₂²×C₄	D₄×C₉	1	2	yes	—
154	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
155	M₁₆	—	2	2	no	—
156	M₁₆	—	2	2	no	—
157	C₂×C₈	—	2	2	no	—
158	C₄⋊C₄	—	2	2	no	—
159	C₄⋊C₄	—	2	4	no	—
160	C₄⋊C₄	—	2	2	no	—
161	C₄⋊C₄	D₄×C₉	1	2	yes	—
162	C₄⋊C₄	D₄×C₉	1	2	yes	—
163	C₂²⋊C₄	—	2	2	no	—
164	C₄²	—	2	2	no	—
165	C₄²	—	2	2	no	—
166	C₂²×C₃	—	2	1	no	—
167	C₂²×C₃	—	2	1	no	—
168	C₂²×C₃	C₃×#120	1	1	yes	characteristic
169	C₂²×C₃	C₃×C₂²⋊Q₈	1	1	yes	characteristic
170	C₂²×C₃	C₃×#124	1	1	yes	characteristic
171	C₃×C₄	—	4	2	no	—
172	C₃×C₄	—	4	2	no	—
173	C₃×C₄	—	4	2	no	—
174	C₃×C₄	—	4	2	no	—
175	C₃×C₄	—	4	2	no	—
176	C₃×C₄	C₃×C₂²⋊Q₈	1	2	yes	—
177	C₃×C₄	C₃×#124	1	2	yes	—
178	C₉	#2028	1	1	yes	characteristic, direct product factor, Sylow
179	C₂³	C₂×D₄×C₉	1	1	yes	characteristic
180	Q₈	—	2	4	no	—
181	Q₈	—	4	2	no	—
182	Q₈	—	8	2	no	—
183	C₂×C₄	—	2	2	no	—
184	C₂×C₄	—	2	2	no	—
185	C₂×C₄	—	2	2	no	—
186	C₂×C₄	—	2	2	no	—
187	C₂×C₄	—	2	2	no	—
188	C₂×C₄	—	4	1	no	—
189	C₂×C₄	—	4	1	no	—
190	C₂×C₄	—	4	1	no	—
191	C₂×C₄	—	4	1	no	—
192	C₂×C₄	—	4	2	no	—
193	C₂×C₄	C₂×D₄×C₉	1	2	yes	—
194	C₂×C₄	C₂×Q₈×C₉	1	1	yes	characteristic
195	C₂×C₄	C₉×#41	1	2	yes	—
196	C₂×C₄	C₉×#41	1	1	yes	characteristic
197	C₈	—	4	2	no	—
198	C₂×C₃	—	2	1	no	—
199	C₂×C₃	—	2	1	no	—
200	C₂×C₃	C₃×#393	1	1	yes	characteristic
201	C₂×C₃	C₃×#455	1	1	yes	characteristic
202	C₂×C₃	C₃×#456	1	1	yes	characteristic
203	C₂²	—	2	1	no	—
204	C₂²	—	2	1	no	—
205	C₂²	C₉×#120	1	1	yes	characteristic
206	C₂²	C₉×C₂²⋊Q₈	1	1	yes	characteristic
207	C₂²	C₉×#124	1	1	yes	characteristic
208	C₄	—	4	2	no	—
209	C₄	—	4	2	no	—
210	C₄	—	4	2	no	—
211	C₄	—	4	2	no	—
212	C₄	—	4	2	no	—
213	C₄	C₉×C₂²⋊Q₈	1	2	yes	—
214	C₄	C₉×#124	1	2	yes	—
215	C₃	C₃×#2028	1	1	yes	characteristic
216	C₂	—	2	1	no	—
217	C₂	—	2	1	no	—
218	C₂	C₉×#393	1	1	yes	characteristic
219	C₂	C₉×#455	1	1	yes	characteristic
220	C₂	C₉×#456	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₉×#544

C₂

yes

maximal, characteristic

C₉×#419

C₂

yes

maximal

C₉×#391

C₂

yes

maximal, characteristic

C₉×#343

C₂

yes

maximal, characteristic

C₉×#339

C₂

yes

maximal

C₃×#2028

C₃

yes

maximal, characteristic

C₂²×Q₈×C₉

C₂²

yes

characteristic

C₂×C₉×M₁₆

C₂²

yes

—

C₉×C₄⋊Q₈

—

C₉×#125

—

C₉×C₂²⋊Q₈

—

C₉×#117

C₂²

yes

—

C₂×C₉×C₄⋊C₄

C₂²

yes

characteristic

C₂×C₄²×C₉

C₂²

yes

characteristic

C₉×#103

—

C₉×#103

—

C₉×#95

—

C₃×#544

C₂×C₃

yes

characteristic

C₃×#419

C₂×C₃

yes

—

C₃×#391

C₂×C₃

yes

characteristic

C₃×#343

C₂×C₃

yes

characteristic

C₃×#339

C₂×C₃

yes

—

C₂×Q₈×C₉

—

C₂×Q₈×C₉

—

C₂×Q₈×C₉

—

C₂×Q₈×C₉

—

C₂×Q₈×C₉

Q₈

yes

complemented

C₂²×C₄×C₉

—

C₂²×C₄×C₉

—

C₂²×C₄×C₉

D₄

yes

—

C₂²×C₄×C₉

C₂³

yes

characteristic

C₉×M₁₆

—

C₉×M₁₆

—

C₂×C₈×C₉

—

C₉×C₄⋊C₄

—

C₉×C₄⋊C₄

—

C₉×C₄⋊C₄

—

C₉×C₄⋊C₄

D₄

yes

—

C₉×C₄⋊C₄

D₄

yes

—

C₉×C₂²⋊C₄

—

C₄²×C₉

—

C₄²×C₉

—

#2028

C₉

yes

characteristic, direct product factor, Sylow

C₂²×C₃×Q₈

C₂²×C₃

yes

characteristic

C₂×C₃×M₁₆

C₂²×C₃

yes

—

C₃×C₄⋊Q₈

—

C₃×#125

—

C₃×C₂²⋊Q₈

—

C₃×#117

C₂²×C₃

yes

—

C₂×C₃×C₄⋊C₄

C₂²×C₃

yes

characteristic

C₂×C₃×C₄²

C₂²×C₃

yes

characteristic

C₃×#103

—

C₃×#103

—

C₃×#95

—

C₂³×C₉

C₂×D₄

yes

characteristic

Q₈×C₉

—

Q₈×C₉

—

Q₈×C₉

—

C₂×C₄×C₉

—

C₂×C₄×C₉

—

C₂×C₄×C₉

—

C₂×C₄×C₉

—

C₂×C₄×C₉

—

C₂×C₄×C₉

—

C₂×C₄×C₉

—

C₂×C₄×C₉

—

C₂×C₄×C₉

—

C₂×C₄×C₉

—

C₂×C₄×C₉

C₂×D₄

yes

—

C₂×C₄×C₉

C₂×Q₈

yes

characteristic

C₂×C₄×C₉

#41

yes

—

C₂×C₄×C₉

#41

yes

characteristic

C₈×C₉

—

#544

C₂×C₉

yes

characteristic

#419

C₂×C₉

yes

—

#391

C₂×C₉

yes

characteristic

#343

C₂×C₉

yes

characteristic

#339

C₂×C₉

yes

—

C₂×C₃×Q₈

—

C₂×C₃×Q₈

—

C₂×C₃×Q₈

—

C₂×C₃×Q₈

—

C₂×C₃×Q₈

C₃×Q₈

yes

—

C₂²×C₃×C₄

—

C₂²×C₃×C₄

—

C₂²×C₃×C₄

C₃×D₄

yes

—

C₂²×C₃×C₄

C₂³×C₃

yes

characteristic

C₃×M₁₆

—

C₃×M₁₆

—

C₂×C₃×C₈

—

C₃×C₄⋊C₄

—

C₃×C₄⋊C₄

—

C₃×C₄⋊C₄

—

C₃×C₄⋊C₄

C₃×D₄

yes

—

C₃×C₄⋊C₄

C₃×D₄

yes

—

C₃×C₂²⋊C₄

—

C₃×C₄²

—

C₃×C₄²

—

C₂²×C₉

—

100

C₂²×C₉

—

101

C₂²×C₉

#120

yes

characteristic

102

C₂²×C₉

C₂²⋊Q₈

yes

characteristic

103

C₂²×C₉

#124

yes

characteristic

104

C₄×C₉

—

105

C₄×C₉

—

106

C₄×C₉

—

107

C₄×C₉

—

108

C₄×C₉

—

109

C₄×C₉

C₂²⋊Q₈

yes

—

110

C₄×C₉

#124

yes

—

111

C₂²×Q₈

C₂²×C₉

yes

characteristic

112

C₂×M₁₆

C₂²×C₉

yes

—

113

C₄⋊Q₈

—

114

#125

—

115

C₂²⋊Q₈

—

116

#117

C₂²×C₉

yes

—

117

C₂×C₄⋊C₄

C₂²×C₉

yes

characteristic

118

C₂×C₄²

C₂²×C₉

yes

characteristic

119

#103

—

120

#103

—

121

#95

—

122

C₂³×C₃

C₂×C₃×D₄

yes

characteristic

123

C₃×Q₈

—

124

C₃×Q₈

—

125

C₃×Q₈

—

126

C₂×C₃×C₄

—

127

C₂×C₃×C₄

—

128

C₂×C₃×C₄

—

129

C₂×C₃×C₄

—

130

C₂×C₃×C₄

—

131

C₂×C₃×C₄

—

132

C₂×C₃×C₄

—

133

C₂×C₃×C₄

—

134

C₂×C₃×C₄

—

135

C₂×C₃×C₄

—

136

C₂×C₃×C₄

C₂×C₃×D₄

yes

—

137

C₂×C₃×C₄

C₂×C₃×Q₈

yes

characteristic

138

C₂×C₃×C₄

C₃×#41

yes

—

139

C₂×C₃×C₄

C₃×#41

yes

characteristic

140

C₃×C₈

—

141

C₂×C₉

—

142

C₂×C₉

—

143

C₂×C₉

#393

yes

characteristic

144

C₂×C₉

#455

yes

characteristic

145

C₂×C₉

#456

yes

characteristic

146

C₂×Q₈

—

147

C₂×Q₈

—

148

C₂×Q₈

—

149

C₂×Q₈

—

150

C₂×Q₈

Q₈×C₉

yes

complemented

151

C₂²×C₄

—

152

C₂²×C₄

—

153

C₂²×C₄

D₄×C₉

yes

—

154

C₂²×C₄

C₂³×C₉

yes

characteristic

155

M₁₆

—

156

M₁₆

—

157

C₂×C₈

—

158

C₄⋊C₄

—

159

C₄⋊C₄

—

160

C₄⋊C₄

—

161

C₄⋊C₄

D₄×C₉

yes

—

162

C₄⋊C₄

D₄×C₉

yes

—

163

C₂²⋊C₄

—

164

C₄²

—

165

C₄²

—

166

C₂²×C₃

—

167

C₂²×C₃

—

168

C₂²×C₃

C₃×#120

yes

characteristic

169

C₂²×C₃

C₃×C₂²⋊Q₈

yes

characteristic

170

C₂²×C₃

C₃×#124

yes

characteristic

171

C₃×C₄

—

172

C₃×C₄

—

173

C₃×C₄

—

174

C₃×C₄

—

175

C₃×C₄

—

176

C₃×C₄

C₃×C₂²⋊Q₈

yes

—

177

C₃×C₄

C₃×#124

yes

—

178

C₉

#2028

yes

characteristic, direct product factor, Sylow

179

C₂³

C₂×D₄×C₉

yes

characteristic

180

Q₈

—

181

Q₈

—

182

Q₈

—

183

C₂×C₄

—

184

C₂×C₄

—

185

C₂×C₄

—

186

C₂×C₄

—

187

C₂×C₄

—

188

C₂×C₄

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

C₂×D₄×C₉

yes

—

194

C₂×C₄

C₂×Q₈×C₉

yes

characteristic

195

C₂×C₄

C₉×#41

yes

—

196

C₂×C₄

C₉×#41

yes

characteristic

197

C₈

—

198

C₂×C₃

—

199

C₂×C₃

—

200

C₂×C₃

C₃×#393

yes

characteristic

201

C₂×C₃

C₃×#455

yes

characteristic

202

C₂×C₃

C₃×#456

yes

characteristic

203

C₂²

—

204

C₂²

—

205

C₂²

C₉×#120

yes

characteristic

206

C₂²

C₉×C₂²⋊Q₈

yes

characteristic

207

C₂²

C₉×#124

yes

characteristic

208

C₄

—

209

C₄

—

210

C₄

—

211

C₄

—

212

C₄

—

213

C₄

C₉×C₂²⋊Q₈

yes

—

214

C₄

C₉×#124

yes

—

215

C₃

C₃×#2028

yes

characteristic

216

C₂

—

217

C₂

—

218

C₂

C₉×#393

yes

characteristic

219

C₂

C₉×#455

yes

characteristic

220

C₂

C₉×#456

yes

characteristic

	subgroup	G/H
center	C₂²×C₉	#120
commutator	C₂²×C₄	C₂³×C₉
Frattini, cosocle	C₂²×C₃×C₄	C₂³×C₃
socle	C₂²×C₃	C₃×#120
prime radical	C₂³×C₃	C₂×C₃×D₄
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₉ ◁ C₂²×C₄×C₉ ◁ G

subgroup

G/H

center

C₂²×C₉

#120

commutator

C₂²×C₄

C₂³×C₉

Frattini, cosocle

C₂²×C₃×C₄

C₂³×C₃

socle

C₂²×C₃

C₃×#120

prime radical

C₂³×C₃

C₂×C₃×D₄

LCS

G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

UCS

C₁ ◁ C₂²×C₉ ◁ C₂²×C₄×C₉ ◁ G

N	H ≅ G/N	type
27. C₂×Q₈×C₉	Q₈	semidirect
43. #2028	C₉	direct (N × H)
150. C₂×Q₈	Q₈×C₉	semidirect
178. C₉	#2028	direct (N × H)

H ≅ G/N

type

27. C₂×Q₈×C₉

Q₈

semidirect

43. #2028

C₉

direct (N × H)

150. C₂×Q₈

Q₈×C₉

semidirect

178. C₉

#2028

direct (N × H)

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

subgroup	index
C₉×#544	2
C₉×#419	2
C₉×#391	2
C₉×#343	2
C₉×#339	2
C₃×#2028	3

subgroup

index

Subgroups — C₉×#2028 #11766749

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C9×#2028 #11766749

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#2028 #11766749