Group #11766794 — subgroups

Subgroups — C₉×#2073 #11766794

Order 1152.

387 conjugacy classes of subgroups; only the 138 normal subgroups are shown.

normal subgroups only

This group has 387 conjugacy classes of subgroups — too many to draw. Only its 138 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×C₉×#102	C₂	1	2	yes	maximal
2	C₉×#390	C₂	1	1	yes	maximal, characteristic
3	C₉×#382	C₂	1	1	yes	maximal, characteristic, complemented
4	C₉×#340	C₂	1	2	yes	maximal, complemented
5	C₉×#336	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2073	C₃	1	1	yes	maximal, characteristic
7	C₂²×D₄×C₉	C₂²	1	1	yes	characteristic
8	C₂²×C₈×C₉	C₂²	1	2	yes	—
9	C₂×C₉×C₄⋊C₄	C₂²	1	2	yes	—
10	C₂×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic
11	C₂×C₉×C₂²⋊C₄	—	2	2	no	—
12	C₂×C₄²×C₉	C₂²	1	1	yes	characteristic
13	C₉×#102	—	2	4	no	—
14	C₉×#95	—	2	2	no	—
15	C₂×C₃×#102	C₂×C₃	1	2	yes	—
16	C₃×#390	C₂×C₃	1	1	yes	characteristic
17	C₃×#382	C₂×C₃	1	1	yes	characteristic
18	C₃×#340	C₂×C₃	1	2	yes	—
19	C₃×#336	C₂×C₃	1	1	yes	characteristic
20	C₂⁴×C₉	—	2	1	no	—
21	C₂×D₄×C₉	—	2	2	no	—
22	C₂×D₄×C₉	—	2	2	no	—
23	C₂×D₄×C₉	—	2	1	no	—
24	C₂×D₄×C₉	D₄	1	2	yes	—
25	C₂²×C₄×C₉	—	2	1	no	—
26	C₂²×C₄×C₉	—	2	2	no	—
27	C₂²×C₄×C₉	D₄	1	2	yes	—
28	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
29	C₂×C₈×C₉	—	2	2	no	—
30	C₂×C₈×C₉	—	2	2	no	—
31	C₂×C₈×C₉	—	2	2	no	—
32	C₉×C₄⋊C₄	—	2	2	no	—
33	C₉×C₄⋊C₄	—	2	2	no	—
34	C₉×C₄⋊C₄	—	2	2	no	—
35	C₉×C₂²⋊C₄	—	4	4	no	—
36	C₄²×C₉	—	2	2	no	—
37	#2073	C₉	1	1	yes	characteristic, direct product factor, Sylow
38	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
39	C₂²×C₃×C₈	C₂²×C₃	1	2	yes	—
40	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
41	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
42	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
43	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
44	C₃×#102	—	2	4	no	—
45	C₃×#95	—	2	2	no	—
46	C₂³×C₉	—	2	2	no	—
47	C₂³×C₉	—	4	1	no	—
48	C₂³×C₉	—	4	1	no	—
49	C₂³×C₉	—	4	2	no	—
50	C₂³×C₉	—	4	2	no	—
51	C₂³×C₉	C₂×D₄	1	1	yes	characteristic
52	D₄×C₉	—	2	4	no	—
53	D₄×C₉	—	4	2	no	—
54	C₂×C₄×C₉	—	2	2	no	—
55	C₂×C₄×C₉	—	2	2	no	—
56	C₂×C₄×C₉	—	2	2	no	—
57	C₂×C₄×C₉	—	4	2	no	—
58	C₂×C₄×C₉	—	4	1	no	—
59	C₂×C₄×C₉	—	4	2	no	—
60	C₂×C₄×C₉	—	4	2	no	—
61	C₂×C₄×C₉	—	4	2	no	—
62	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
63	C₂×C₄×C₉	#41	1	2	yes	—
64	C₂×C₄×C₉	#41	1	2	yes	—
65	C₂×C₄×C₉	#41	1	1	yes	characteristic
66	C₈×C₉	—	4	2	no	—
67	C₂×#102	C₂×C₉	1	2	yes	—
68	#390	C₂×C₉	1	1	yes	characteristic
69	#382	C₂×C₉	1	1	yes	characteristic, complemented
70	#340	C₂×C₉	1	2	yes	complemented
71	#336	C₂×C₉	1	1	yes	characteristic, complemented
72	C₂⁴×C₃	—	2	1	no	—
73	C₂×C₃×D₄	—	2	2	no	—
74	C₂×C₃×D₄	—	2	2	no	—
75	C₂×C₃×D₄	—	2	1	no	—
76	C₂×C₃×D₄	C₃×D₄	1	2	yes	—
77	C₂²×C₃×C₄	—	2	2	no	—
78	C₂²×C₃×C₄	—	2	1	no	—
79	C₂²×C₃×C₄	C₃×D₄	1	2	yes	—
80	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
81	C₂×C₃×C₈	—	2	2	no	—
82	C₂×C₃×C₈	—	2	2	no	—
83	C₂×C₃×C₈	—	2	2	no	—
84	C₃×C₄⋊C₄	—	2	2	no	—
85	C₃×C₄⋊C₄	—	2	2	no	—
86	C₃×C₄⋊C₄	—	2	2	no	—
87	C₃×C₂²⋊C₄	—	4	4	no	—
88	C₃×C₄²	—	2	2	no	—
89	C₂²×C₉	—	4	2	no	—
90	C₂²×C₉	—	4	4	no	—
91	C₂²×C₉	—	8	2	no	—
92	C₂²×C₉	—	8	1	no	—
93	C₂²×C₉	—	8	1	no	—
94	C₂²×C₉	#121	1	1	yes	characteristic
95	C₂²×C₉	#123	1	1	yes	characteristic
96	C₂²×C₉	#124	1	1	yes	characteristic
97	C₂²×C₉	#135	1	2	yes	—
98	C₂²×C₉	AGL(1,ℤ/8)	1	2	yes	—
99	C₄×C₉	—	4	2	no	—
100	C₄×C₉	—	8	2	no	—
101	C₄×C₉	—	8	1	no	—
102	C₄×C₉	#123	1	2	yes	—
103	C₄×C₉	#126	1	2	yes	—
104	C₂²×D₄	C₂²×C₉	1	1	yes	characteristic
105	C₂²×C₈	C₂²×C₉	1	2	yes	—
106	C₂×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic
107	C₂×C₄⋊C₄	C₂²×C₉	1	2	yes	—
108	C₂×C₂²⋊C₄	—	2	2	no	—
109	C₂×C₄²	C₂²×C₉	1	1	yes	characteristic
110	#102	—	2	4	no	—
111	#95	—	2	2	no	—
112	C₂³×C₃	—	2	2	no	—
113	C₂³×C₃	—	4	1	no	—
114	C₂³×C₃	—	4	1	no	—
115	C₂³×C₃	—	4	2	no	—
116	C₂³×C₃	—	4	2	no	—
117	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
118	C₃×D₄	—	2	4	no	—
119	C₃×D₄	—	4	2	no	—
120	C₂×C₃×C₄	—	2	2	no	—
121	C₂×C₃×C₄	—	2	2	no	—
122	C₂×C₃×C₄	—	2	2	no	—
123	C₂×C₃×C₄	—	4	2	no	—
124	C₂×C₃×C₄	—	4	1	no	—
125	C₂×C₃×C₄	—	4	2	no	—
126	C₂×C₃×C₄	—	4	2	no	—
127	C₂×C₃×C₄	—	4	2	no	—
128	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
129	C₂×C₃×C₄	C₃×#41	1	2	yes	—
130	C₂×C₃×C₄	C₃×#41	1	2	yes	—
131	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
132	C₃×C₈	—	4	2	no	—
133	C₂×C₉	—	8	2	no	—
134	C₂×C₉	#397	1	1	yes	characteristic
135	C₂×C₉	#463	1	2	yes	—
136	C₂×C₉	#482	1	2	yes	—
137	C₂×C₉	#488	1	1	yes	characteristic
138	C₂×C₉	#490	1	1	yes	characteristic
139	C₂⁴	—	2	1	no	—
140	C₂×D₄	—	2	2	no	—
141	C₂×D₄	—	2	2	no	—
142	C₂×D₄	—	2	1	no	—
143	C₂×D₄	D₄×C₉	1	2	yes	—
144	C₂²×C₄	—	2	2	no	—
145	C₂²×C₄	—	2	1	no	—
146	C₂²×C₄	D₄×C₉	1	2	yes	—
147	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
148	C₂×C₈	—	2	2	no	—
149	C₂×C₈	—	2	2	no	—
150	C₂×C₈	—	2	2	no	—
151	C₄⋊C₄	—	2	2	no	—
152	C₄⋊C₄	—	2	2	no	—
153	C₄⋊C₄	—	2	2	no	—
154	C₂²⋊C₄	—	4	4	no	—
155	C₄²	—	2	2	no	—
156	C₂²×C₃	—	4	2	no	—
157	C₂²×C₃	—	4	4	no	—
158	C₂²×C₃	—	8	2	no	—
159	C₂²×C₃	—	8	1	no	—
160	C₂²×C₃	—	8	1	no	—
161	C₂²×C₃	C₃×#121	1	1	yes	characteristic
162	C₂²×C₃	C₃×#123	1	1	yes	characteristic
163	C₂²×C₃	C₃×#124	1	1	yes	characteristic
164	C₂²×C₃	C₃×#135	1	2	yes	—
165	C₂²×C₃	C₃×AGL(1,ℤ/8)	1	2	yes	—
166	C₃×C₄	—	4	2	no	—
167	C₃×C₄	—	8	2	no	—
168	C₃×C₄	—	8	1	no	—
169	C₃×C₄	C₃×#123	1	2	yes	—
170	C₃×C₄	C₃×#126	1	2	yes	—
171	C₉	#2073	1	1	yes	characteristic, direct product factor, Sylow
172	C₂³	—	2	2	no	—
173	C₂³	—	4	1	no	—
174	C₂³	—	4	1	no	—
175	C₂³	—	4	2	no	—
176	C₂³	—	4	2	no	—
177	C₂³	C₂×D₄×C₉	1	1	yes	characteristic
178	D₄	—	2	4	no	—
179	D₄	—	4	2	no	—
180	C₂×C₄	—	2	2	no	—
181	C₂×C₄	—	2	2	no	—
182	C₂×C₄	—	2	2	no	—
183	C₂×C₄	—	4	2	no	—
184	C₂×C₄	—	4	1	no	—
185	C₂×C₄	—	4	2	no	—
186	C₂×C₄	—	4	2	no	—
187	C₂×C₄	—	4	2	no	—
188	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
189	C₂×C₄	C₉×#41	1	2	yes	—
190	C₂×C₄	C₉×#41	1	2	yes	—
191	C₂×C₄	C₉×#41	1	1	yes	characteristic
192	C₈	—	4	2	no	—
193	C₂×C₃	—	8	2	no	—
194	C₂×C₃	C₃×#397	1	1	yes	characteristic
195	C₂×C₃	C₃×#463	1	2	yes	—
196	C₂×C₃	C₃×#482	1	2	yes	—
197	C₂×C₃	C₃×#488	1	1	yes	characteristic
198	C₂×C₃	C₃×#490	1	1	yes	characteristic
199	C₂²	—	4	2	no	—
200	C₂²	—	4	4	no	—
201	C₂²	—	8	2	no	—
202	C₂²	—	8	1	no	—
203	C₂²	—	8	1	no	—
204	C₂²	C₉×#121	1	1	yes	characteristic
205	C₂²	C₉×#123	1	1	yes	characteristic
206	C₂²	C₉×#124	1	1	yes	characteristic
207	C₂²	C₉×#135	1	2	yes	—
208	C₂²	C₉×AGL(1,ℤ/8)	1	2	yes	—
209	C₄	—	4	2	no	—
210	C₄	—	8	2	no	—
211	C₄	—	8	1	no	—
212	C₄	C₉×#123	1	2	yes	—
213	C₄	C₉×#126	1	2	yes	—
214	C₃	C₃×#2073	1	1	yes	characteristic
215	C₂	—	8	2	no	—
216	C₂	C₉×#397	1	1	yes	characteristic
217	C₂	C₉×#463	1	2	yes	—
218	C₂	C₉×#482	1	2	yes	—
219	C₂	C₉×#488	1	1	yes	characteristic
220	C₂	C₉×#490	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×C₉×#102

C₂

yes

maximal

C₉×#390

C₂

yes

maximal, characteristic

C₉×#382

C₂

yes

maximal, characteristic, complemented

C₉×#340

C₂

yes

maximal, complemented

C₉×#336

C₂

yes

maximal, characteristic, complemented

C₃×#2073

C₃

yes

maximal, characteristic

C₂²×D₄×C₉

C₂²

yes

characteristic

C₂²×C₈×C₉

C₂²

yes

—

C₂×C₉×C₄⋊C₄

C₂²

yes

—

C₂×C₉×C₄⋊C₄

C₂²

yes

characteristic

C₂×C₉×C₂²⋊C₄

—

C₂×C₄²×C₉

C₂²

yes

characteristic

C₉×#102

—

C₉×#95

—

C₂×C₃×#102

C₂×C₃

yes

—

C₃×#390

C₂×C₃

yes

characteristic

C₃×#382

C₂×C₃

yes

characteristic

C₃×#340

C₂×C₃

yes

—

C₃×#336

C₂×C₃

yes

characteristic

C₂⁴×C₉

—

C₂×D₄×C₉

—

C₂×D₄×C₉

—

C₂×D₄×C₉

—

C₂×D₄×C₉

D₄

yes

—

C₂²×C₄×C₉

—

C₂²×C₄×C₉

—

C₂²×C₄×C₉

D₄

yes

—

C₂²×C₄×C₉

C₂³

yes

characteristic

C₂×C₈×C₉

—

C₂×C₈×C₉

—

C₂×C₈×C₉

—

C₉×C₄⋊C₄

—

C₉×C₄⋊C₄

—

C₉×C₄⋊C₄

—

C₉×C₂²⋊C₄

—

C₄²×C₉

—

#2073

C₉

yes

characteristic, direct product factor, Sylow

C₂²×C₃×D₄

C₂²×C₃

yes

characteristic

C₂²×C₃×C₈

C₂²×C₃

yes

—

C₂×C₃×C₄⋊C₄

C₂²×C₃

yes

—

C₂×C₃×C₄⋊C₄

C₂²×C₃

yes

characteristic

C₂×C₃×C₂²⋊C₄

—

C₂×C₃×C₄²

C₂²×C₃

yes

characteristic

C₃×#102

—

C₃×#95

—

C₂³×C₉

—

C₂³×C₉

—

C₂³×C₉

—

C₂³×C₉

—

C₂³×C₉

—

C₂³×C₉

C₂×D₄

yes

characteristic

D₄×C₉

—

D₄×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

characteristic

C₂×C₄×C₉

#41

yes

—

C₂×C₄×C₉

#41

yes

—

C₂×C₄×C₉

#41

yes

characteristic

C₈×C₉

—

C₂×#102

C₂×C₉

yes

—

#390

C₂×C₉

yes

characteristic

#382

C₂×C₉

yes

characteristic, complemented

#340

C₂×C₉

yes

complemented

#336

C₂×C₉

yes

characteristic, complemented

C₂⁴×C₃

—

C₂×C₃×D₄

—

C₂×C₃×D₄

—

C₂×C₃×D₄

—

C₂×C₃×D₄

C₃×D₄

yes

—

C₂²×C₃×C₄

—

C₂²×C₃×C₄

—

C₂²×C₃×C₄

C₃×D₄

yes

—

C₂²×C₃×C₄

C₂³×C₃

yes

characteristic

C₂×C₃×C₈

—

C₂×C₃×C₈

—

C₂×C₃×C₈

—

C₃×C₄⋊C₄

—

C₃×C₄⋊C₄

—

C₃×C₄⋊C₄

—

C₃×C₂²⋊C₄

—

C₃×C₄²

—

C₂²×C₉

—

C₂²×C₉

—

C₂²×C₉

—

C₂²×C₉

—

C₂²×C₉

—

C₂²×C₉

yes

C₂²×C₉

yes

C₂²×C₉

yes

C₂²×C₉

yes

—

C₂²×C₉

AGL(1,ℤ/8)

yes

—

C₄×C₉

—

100

C₄×C₉

—

101

C₄×C₉

—

102

C₄×C₉

#123

yes

—

103

C₄×C₉

#126

yes

—

104

C₂²×D₄

C₂²×C₉

yes

characteristic

105

C₂²×C₈

C₂²×C₉

yes

—

106

C₂×C₄⋊C₄

C₂²×C₉

yes

characteristic

107

C₂×C₄⋊C₄

C₂²×C₉

yes

—

108

C₂×C₂²⋊C₄

—

109

C₂×C₄²

C₂²×C₉

yes

characteristic

110

#102

—

111

#95

—

112

C₂³×C₃

—

113

C₂³×C₃

—

114

C₂³×C₃

—

115

C₂³×C₃

—

116

C₂³×C₃

—

117

C₂³×C₃

C₂×C₃×D₄

yes

characteristic

118

C₃×D₄

—

119

C₃×D₄

—

120

C₂×C₃×C₄

—

121

C₂×C₃×C₄

—

122

C₂×C₃×C₄

—

123

C₂×C₃×C₄

—

124

C₂×C₃×C₄

—

125

C₂×C₃×C₄

—

126

C₂×C₃×C₄

—

127

C₂×C₃×C₄

—

128

C₂×C₃×C₄

C₂×C₃×D₄

yes

characteristic

129

C₂×C₃×C₄

C₃×#41

yes

—

130

C₂×C₃×C₄

C₃×#41

yes

—

131

C₂×C₃×C₄

C₃×#41

yes

characteristic

132

C₃×C₈

—

133

C₂×C₉

—

134

C₂×C₉

#397

yes

characteristic

135

C₂×C₉

#463

yes

—

136

C₂×C₉

#482

yes

—

137

C₂×C₉

#488

yes

characteristic

138

C₂×C₉

#490

yes

characteristic

139

C₂⁴

—

140

C₂×D₄

—

141

C₂×D₄

—

142

C₂×D₄

—

143

C₂×D₄

D₄×C₉

yes

—

144

C₂²×C₄

—

145

C₂²×C₄

—

146

C₂²×C₄

D₄×C₉

yes

—

147

C₂²×C₄

C₂³×C₉

yes

characteristic

148

C₂×C₈

—

149

C₂×C₈

—

150

C₂×C₈

—

151

C₄⋊C₄

—

152

C₄⋊C₄

—

153

C₄⋊C₄

—

154

C₂²⋊C₄

—

155

C₄²

—

156

C₂²×C₃

—

157

C₂²×C₃

—

158

C₂²×C₃

—

159

C₂²×C₃

—

160

C₂²×C₃

—

161

C₂²×C₃

C₃×#121

yes

characteristic

162

C₂²×C₃

C₃×#123

yes

characteristic

163

C₂²×C₃

C₃×#124

yes

characteristic

164

C₂²×C₃

C₃×#135

yes

—

165

C₂²×C₃

C₃×AGL(1,ℤ/8)

yes

—

166

C₃×C₄

—

167

C₃×C₄

—

168

C₃×C₄

—

169

C₃×C₄

C₃×#123

yes

—

170

C₃×C₄

C₃×#126

yes

—

171

C₉

#2073

yes

characteristic, direct product factor, Sylow

172

C₂³

—

173

C₂³

—

174

C₂³

—

175

C₂³

—

176

C₂³

—

177

C₂³

C₂×D₄×C₉

yes

characteristic

178

D₄

—

179

D₄

—

180

C₂×C₄

—

181

C₂×C₄

—

182

C₂×C₄

—

183

C₂×C₄

—

184

C₂×C₄

—

185

C₂×C₄

—

186

C₂×C₄

—

187

C₂×C₄

—

188

C₂×C₄

C₂×D₄×C₉

yes

characteristic

189

C₂×C₄

C₉×#41

yes

—

190

C₂×C₄

C₉×#41

yes

—

191

C₂×C₄

C₉×#41

yes

characteristic

192

C₈

—

193

C₂×C₃

—

194

C₂×C₃

C₃×#397

yes

characteristic

195

C₂×C₃

C₃×#463

yes

—

196

C₂×C₃

C₃×#482

yes

—

197

C₂×C₃

C₃×#488

yes

characteristic

198

C₂×C₃

C₃×#490

yes

characteristic

199

C₂²

—

200

C₂²

—

201

C₂²

—

202

C₂²

—

203

C₂²

—

204

C₂²

C₉×#121

yes

characteristic

205

C₂²

C₉×#123

yes

characteristic

206

C₂²

C₉×#124

yes

characteristic

207

C₂²

C₉×#135

yes

—

208

C₂²

C₉×AGL(1,ℤ/8)

yes

—

209

C₄

—

210

C₄

—

211

C₄

—

212

C₄

C₉×#123

yes

—

213

C₄

C₉×#126

yes

—

214

C₃

C₃×#2073

yes

characteristic

215

C₂

—

216

C₂

C₉×#397

yes

characteristic

217

C₂

C₉×#463

yes

—

218

C₂

C₉×#482

yes

—

219

C₂

C₉×#488

yes

characteristic

220

C₂

C₉×#490

yes

characteristic

	subgroup	G/H
center	C₂³×C₉	C₂×D₄
commutator	C₂²×C₄	C₂³×C₉
Frattini, cosocle	C₂²×C₃×C₄	C₂³×C₃
socle	C₂³×C₃	C₂×C₃×D₄
prime radical	C₂²×C₃×D₄	C₂²×C₃
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₉ ◁ C₂×C₄²×C₉ ◁ G

subgroup

G/H

center

C₂³×C₉

C₂×D₄

commutator

C₂²×C₄

C₂³×C₉

Frattini, cosocle

C₂²×C₃×C₄

C₂³×C₃

socle

C₂³×C₃

C₂×C₃×D₄

prime radical

C₂²×C₃×D₄

C₂²×C₃

LCS

G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

UCS

C₁ ◁ C₂³×C₉ ◁ C₂×C₄²×C₉ ◁ G

N	H ≅ G/N	type
3. C₉×#382	C₂	semidirect
4. C₉×#340	C₂	semidirect
5. C₉×#336	C₂	semidirect
37. #2073	C₉	direct (N × H)
69. #382	C₂×C₉	semidirect
70. #340	C₂×C₉	semidirect
71. #336	C₂×C₉	semidirect
171. C₉	#2073	direct (N × H)

H ≅ G/N

type

3. C₉×#382

C₂

semidirect

4. C₉×#340

C₂

semidirect

5. C₉×#336

C₂

semidirect

37. #2073

C₉

direct (N × H)

69. #382

C₂×C₉

semidirect

70. #340

C₂×C₉

semidirect

71. #336

C₂×C₉

semidirect

171. C₉

#2073

direct (N × H)

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

subgroup	index
C₂×C₉×#102	2
C₉×#390	2
C₉×#382	2
C₉×#340	2
C₉×#336	2
C₃×#2073	3

subgroup

index

C₂×C₉×#102

Subgroups — C₉×#2073 #11766794

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C9×#2073 #11766794

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#2073 #11766794