Group #28359265 — subgroups

Subgroups — C₁₀₉×#2011 #28359265

Order 13952.

510 conjugacy classes of subgroups; only the 116 normal subgroups are shown.

normal subgroups only

This group has 510 conjugacy classes of subgroups — too many to draw. Only its 116 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	C₂²×D₈×C₁₀₉	C₂	1	2	yes	maximal, complemented
2	C₂×#127×C₁₀₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#102×C₁₀₉	C₂	1	2	yes	maximal, complemented
4	#390×C₁₀₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#336×C₁₀₉	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×D₄×C₁₀₉	—	2	2	no	—
7	C₂²×D₄×C₁₀₉	C₂²	1	2	yes	—
8	C₂²×D₄×C₁₀₉	C₂²	1	1	yes	characteristic
9	C₂×D₈×C₁₀₉	—	2	4	no	—
10	C₂×D₈×C₁₀₉	—	2	4	no	—
11	C₂×D₈×C₁₀₉	—	2	4	no	—
12	C₂²×C₈×C₁₀₉	C₂²	1	2	yes	—
13	#127×C₁₀₉	—	2	4	no	—
14	C₂×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
15	C₂×C₂²⋊C₄×C₁₀₉	—	2	2	no	—
16	C₂×C₄²×C₁₀₉	C₂²	1	1	yes	characteristic
17	#102×C₁₀₉	—	2	4	no	—
18	C₂⁴×C₁₀₉	—	2	1	no	—
19	C₂⁴×C₁₀₉	—	2	2	no	—
20	C₂×D₄×C₁₀₉	—	2	8	no	—
21	C₂×D₄×C₁₀₉	—	2	2	no	—
22	C₂×D₄×C₁₀₉	—	2	2	no	—
23	C₂×D₄×C₁₀₉	—	2	2	no	—
24	C₂×D₄×C₁₀₉	—	2	2	no	—
25	C₂×D₄×C₁₀₉	—	2	2	no	—
26	C₂×D₄×C₁₀₉	—	2	2	no	—
27	C₂×D₄×C₁₀₉	—	2	2	no	—
28	C₂×D₄×C₁₀₉	—	2	1	no	—
29	C₂×D₄×C₁₀₉	—	4	4	no	—
30	C₂×D₄×C₁₀₉	—	4	4	no	—
31	C₂×D₄×C₁₀₉	D₄	1	4	yes	—
32	C₂×D₄×C₁₀₉	D₄	1	2	yes	complemented
33	C₂²×C₄×C₁₀₉	—	2	1	no	—
34	C₂²×C₄×C₁₀₉	D₄	1	2	yes	—
35	C₂²×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
36	D₈×C₁₀₉	—	2	16	no	—
37	C₂×C₈×C₁₀₉	—	2	2	no	—
38	C₂×C₈×C₁₀₉	—	2	2	no	—
39	C₂×C₈×C₁₀₉	D₄	1	4	yes	complemented
40	C₄⋊C₄×C₁₀₉	—	2	2	no	—
41	C₂²⋊C₄×C₁₀₉	—	4	4	no	—
42	C₄²×C₁₀₉	—	2	2	no	—
43	C₂³×C₁₀₉	—	2	4	no	—
44	C₂³×C₁₀₉	—	2	2	no	—
45	C₂³×C₁₀₉	—	4	1	no	—
46	C₂³×C₁₀₉	—	4	2	no	—
47	C₂³×C₁₀₉	—	4	2	no	—
48	C₂³×C₁₀₉	—	4	1	no	—
49	C₂³×C₁₀₉	—	4	2	no	—
50	C₂³×C₁₀₉	—	4	4	no	—
51	C₂³×C₁₀₉	—	4	4	no	—
52	C₂³×C₁₀₉	—	4	2	no	—
53	C₂³×C₁₀₉	C₂×D₄	1	1	yes	characteristic
54	D₄×C₁₀₉	—	2	4	no	—
55	D₄×C₁₀₉	—	2	4	no	—
56	D₄×C₁₀₉	—	2	4	no	—
57	D₄×C₁₀₉	—	4	16	no	—
58	D₄×C₁₀₉	—	4	2	no	—
59	D₄×C₁₀₉	—	4	2	no	—
60	D₄×C₁₀₉	—	4	2	no	—
61	C₂×C₄×C₁₀₉	—	2	2	no	—
62	C₂×C₄×C₁₀₉	—	2	2	no	—
63	C₂×C₄×C₁₀₉	—	4	1	no	—
64	C₂×C₄×C₁₀₉	—	4	2	no	—
65	C₂×C₄×C₁₀₉	D₈	1	4	yes	complemented
66	C₂×C₄×C₁₀₉	C₂×D₄	1	1	yes	characteristic
67	C₂×C₄×C₁₀₉	C₂×D₄	1	2	yes	—
68	C₂×C₄×C₁₀₉	C₂×D₄	1	2	yes	—
69	C₂×C₄×C₁₀₉	#41	1	1	yes	characteristic
70	C₈×C₁₀₉	—	2	4	no	—
71	C₂²×C₁₀₉	—	4	4	no	—
72	C₂²×C₁₀₉	—	4	2	no	—
73	C₂²×C₁₀₉	—	4	8	no	—
74	C₂²×C₁₀₉	—	4	4	no	—
75	C₂²×C₁₀₉	—	8	2	no	—
76	C₂²×C₁₀₉	—	8	4	no	—
77	C₂²×C₁₀₉	—	8	1	no	—
78	C₂²×C₁₀₉	—	8	2	no	—
79	C₂²×C₁₀₉	—	8	2	no	—
80	C₂²×C₁₀₉	—	8	1	no	—
81	C₂²×C₁₀₉	#120	1	1	yes	characteristic
82	C₂²×C₁₀₉	#121	1	1	yes	characteristic
83	C₂²×C₁₀₉	#127	1	1	yes	characteristic
84	C₂²×C₁₀₉	C₂×D₈	1	2	yes	—
85	C₂²×C₁₀₉	AGL(1,ℤ/8)	1	2	yes	—
86	C₄×C₁₀₉	—	2	4	no	—
87	C₄×C₁₀₉	—	8	1	no	—
88	C₄×C₁₀₉	#120	1	2	yes	—
89	C₄×C₁₀₉	#121	1	2	yes	—
90	C₂×C₁₀₉	—	8	4	no	—
91	C₂×C₁₀₉	—	8	2	no	—
92	C₂×C₁₀₉	#392	1	1	yes	characteristic
93	C₂×C₁₀₉	#447	1	2	yes	—
94	C₂×C₁₀₉	#459	1	2	yes	—
95	C₂×C₁₀₉	#493	1	1	yes	characteristic
96	C₂×C₁₀₉	#496	1	1	yes	characteristic
97	#2011	C₁₀₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
98	C₁₀₉	#2011	1	1	yes	characteristic, direct product factor, Sylow
99	C₂²×D₈	C₂×C₁₀₉	1	2	yes	complemented
100	C₂×#127	C₂×C₁₀₉	1	1	yes	characteristic, complemented
101	C₂×#102	C₂×C₁₀₉	1	2	yes	complemented
102	#390	C₂×C₁₀₉	1	1	yes	characteristic, complemented
103	#336	C₂×C₁₀₉	1	1	yes	characteristic, complemented
104	C₂²×D₄	—	2	2	no	—
105	C₂²×D₄	C₂²×C₁₀₉	1	2	yes	—
106	C₂²×D₄	C₂²×C₁₀₉	1	1	yes	characteristic
107	C₂×D₈	—	2	4	no	—
108	C₂×D₈	—	2	4	no	—
109	C₂×D₈	—	2	4	no	—
110	C₂²×C₈	C₂²×C₁₀₉	1	2	yes	—
111	#127	—	2	4	no	—
112	C₂×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
113	C₂×C₂²⋊C₄	—	2	2	no	—
114	C₂×C₄²	C₂²×C₁₀₉	1	1	yes	characteristic
115	#102	—	2	4	no	—
116	C₂⁴	—	2	1	no	—
117	C₂⁴	—	2	2	no	—
118	C₂×D₄	—	2	8	no	—
119	C₂×D₄	—	2	2	no	—
120	C₂×D₄	—	2	2	no	—
121	C₂×D₄	—	2	2	no	—
122	C₂×D₄	—	2	2	no	—
123	C₂×D₄	—	2	2	no	—
124	C₂×D₄	—	2	2	no	—
125	C₂×D₄	—	2	2	no	—
126	C₂×D₄	—	2	1	no	—
127	C₂×D₄	—	4	4	no	—
128	C₂×D₄	—	4	4	no	—
129	C₂×D₄	D₄×C₁₀₉	1	4	yes	—
130	C₂×D₄	D₄×C₁₀₉	1	2	yes	complemented
131	C₂²×C₄	—	2	1	no	—
132	C₂²×C₄	D₄×C₁₀₉	1	2	yes	—
133	C₂²×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
134	D₈	—	2	16	no	—
135	C₂×C₈	—	2	2	no	—
136	C₂×C₈	—	2	2	no	—
137	C₂×C₈	D₄×C₁₀₉	1	4	yes	complemented
138	C₄⋊C₄	—	2	2	no	—
139	C₂²⋊C₄	—	4	4	no	—
140	C₄²	—	2	2	no	—
141	C₂³	—	2	4	no	—
142	C₂³	—	2	2	no	—
143	C₂³	—	4	1	no	—
144	C₂³	—	4	2	no	—
145	C₂³	—	4	2	no	—
146	C₂³	—	4	1	no	—
147	C₂³	—	4	2	no	—
148	C₂³	—	4	4	no	—
149	C₂³	—	4	4	no	—
150	C₂³	—	4	2	no	—
151	C₂³	C₂×D₄×C₁₀₉	1	1	yes	characteristic
152	D₄	—	2	4	no	—
153	D₄	—	2	4	no	—
154	D₄	—	2	4	no	—
155	D₄	—	4	16	no	—
156	D₄	—	4	2	no	—
157	D₄	—	4	2	no	—
158	D₄	—	4	2	no	—
159	C₂×C₄	—	2	2	no	—
160	C₂×C₄	—	2	2	no	—
161	C₂×C₄	—	4	1	no	—
162	C₂×C₄	—	4	2	no	—
163	C₂×C₄	D₈×C₁₀₉	1	4	yes	complemented
164	C₂×C₄	C₂×D₄×C₁₀₉	1	1	yes	characteristic
165	C₂×C₄	C₂×D₄×C₁₀₉	1	2	yes	—
166	C₂×C₄	C₂×D₄×C₁₀₉	1	2	yes	—
167	C₂×C₄	#41×C₁₀₉	1	1	yes	characteristic
168	C₈	—	2	4	no	—
169	C₂²	—	4	4	no	—
170	C₂²	—	4	2	no	—
171	C₂²	—	4	8	no	—
172	C₂²	—	4	4	no	—
173	C₂²	—	8	2	no	—
174	C₂²	—	8	4	no	—
175	C₂²	—	8	1	no	—
176	C₂²	—	8	2	no	—
177	C₂²	—	8	2	no	—
178	C₂²	—	8	1	no	—
179	C₂²	#120×C₁₀₉	1	1	yes	characteristic
180	C₂²	#121×C₁₀₉	1	1	yes	characteristic
181	C₂²	#127×C₁₀₉	1	1	yes	characteristic
182	C₂²	C₂×D₈×C₁₀₉	1	2	yes	—
183	C₂²	AGL(1,ℤ/8)×C₁₀₉	1	2	yes	—
184	C₄	—	2	4	no	—
185	C₄	—	8	1	no	—
186	C₄	#120×C₁₀₉	1	2	yes	—
187	C₄	#121×C₁₀₉	1	2	yes	—
188	C₂	—	8	4	no	—
189	C₂	—	8	2	no	—
190	C₂	#392×C₁₀₉	1	1	yes	characteristic
191	C₂	#447×C₁₀₉	1	2	yes	—
192	C₂	#459×C₁₀₉	1	2	yes	—
193	C₂	#493×C₁₀₉	1	1	yes	characteristic
194	C₂	#496×C₁₀₉	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂²×D₈×C₁₀₉

C₂

yes

maximal, complemented

C₂×#127×C₁₀₉

C₂

yes

maximal, characteristic, complemented

C₂×#102×C₁₀₉

C₂

yes

maximal, complemented

#390×C₁₀₉

C₂

yes

maximal, characteristic, complemented

#336×C₁₀₉

C₂

yes

maximal, characteristic, complemented

C₂²×D₄×C₁₀₉

—

C₂²×D₄×C₁₀₉

C₂²

yes

—

C₂²×D₄×C₁₀₉

C₂²

yes

characteristic

C₂×D₈×C₁₀₉

—

C₂×D₈×C₁₀₉

—

C₂×D₈×C₁₀₉

—

C₂²×C₈×C₁₀₉

C₂²

yes

—

#127×C₁₀₉

—

C₂×C₄⋊C₄×C₁₀₉

C₂²

yes

characteristic

C₂×C₂²⋊C₄×C₁₀₉

—

C₂×C₄²×C₁₀₉

C₂²

yes

characteristic

#102×C₁₀₉

—

C₂⁴×C₁₀₉

—

C₂⁴×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

D₄

yes

—

C₂×D₄×C₁₀₉

D₄

yes

complemented

C₂²×C₄×C₁₀₉

—

C₂²×C₄×C₁₀₉

D₄

yes

—

C₂²×C₄×C₁₀₉

C₂³

yes

characteristic

D₈×C₁₀₉

—

C₂×C₈×C₁₀₉

—

C₂×C₈×C₁₀₉

—

C₂×C₈×C₁₀₉

D₄

yes

complemented

C₄⋊C₄×C₁₀₉

—

C₂²⋊C₄×C₁₀₉

—

C₄²×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

C₂×D₄

yes

characteristic

D₄×C₁₀₉

—

D₄×C₁₀₉

—

D₄×C₁₀₉

—

D₄×C₁₀₉

—

D₄×C₁₀₉

—

D₄×C₁₀₉

—

D₄×C₁₀₉

—

C₂×C₄×C₁₀₉

—

C₂×C₄×C₁₀₉

—

C₂×C₄×C₁₀₉

—

C₂×C₄×C₁₀₉

—

C₂×C₄×C₁₀₉

D₈

yes

complemented

C₂×C₄×C₁₀₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₀₉

C₂×D₄

yes

—

C₂×C₄×C₁₀₉

C₂×D₄

yes

—

C₂×C₄×C₁₀₉

#41

yes

characteristic

C₈×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

yes

C₂²×C₁₀₉

yes

C₂²×C₁₀₉

yes

C₂²×C₁₀₉

C₂×D₈

yes

—

C₂²×C₁₀₉

AGL(1,ℤ/8)

yes

—

C₄×C₁₀₉

—

C₄×C₁₀₉

—

C₄×C₁₀₉

#120

yes

—

C₄×C₁₀₉

#121

yes

—

C₂×C₁₀₉

—

C₂×C₁₀₉

—

C₂×C₁₀₉

#392

yes

characteristic

C₂×C₁₀₉

#447

yes

—

C₂×C₁₀₉

#459

yes

—

C₂×C₁₀₉

yes

C₂×C₁₀₉

yes

C₁₀₉

yes

maximal, characteristic, direct product factor, Sylow

C₁₀₉

#2011

yes

characteristic, direct product factor, Sylow

C₂²×D₈

C₂×C₁₀₉

yes

complemented

100

C₂×#127

C₂×C₁₀₉

yes

characteristic, complemented

101

C₂×#102

C₂×C₁₀₉

yes

complemented

102

#390

C₂×C₁₀₉

yes

characteristic, complemented

103

#336

C₂×C₁₀₉

yes

characteristic, complemented

104

C₂²×D₄

—

105

C₂²×D₄

C₂²×C₁₀₉

yes

—

106

C₂²×D₄

C₂²×C₁₀₉

yes

characteristic

107

C₂×D₈

—

108

C₂×D₈

—

109

C₂×D₈

—

110

C₂²×C₈

C₂²×C₁₀₉

yes

—

111

#127

—

112

C₂×C₄⋊C₄

C₂²×C₁₀₉

yes

characteristic

113

C₂×C₂²⋊C₄

—

114

C₂×C₄²

C₂²×C₁₀₉

yes

characteristic

115

#102

—

116

C₂⁴

—

117

C₂⁴

—

118

C₂×D₄

—

119

C₂×D₄

—

120

C₂×D₄

—

121

C₂×D₄

—

122

C₂×D₄

—

123

C₂×D₄

—

124

C₂×D₄

—

125

C₂×D₄

—

126

C₂×D₄

—

127

C₂×D₄

—

128

C₂×D₄

—

129

C₂×D₄

D₄×C₁₀₉

yes

—

130

C₂×D₄

D₄×C₁₀₉

yes

complemented

131

C₂²×C₄

—

132

C₂²×C₄

D₄×C₁₀₉

yes

—

133

C₂²×C₄

C₂³×C₁₀₉

yes

characteristic

134

D₈

—

135

C₂×C₈

—

136

C₂×C₈

—

137

C₂×C₈

D₄×C₁₀₉

yes

complemented

138

C₄⋊C₄

—

139

C₂²⋊C₄

—

140

C₄²

—

141

C₂³

—

142

C₂³

—

143

C₂³

—

144

C₂³

—

145

C₂³

—

146

C₂³

—

147

C₂³

—

148

C₂³

—

149

C₂³

—

150

C₂³

—

151

C₂³

C₂×D₄×C₁₀₉

yes

characteristic

152

D₄

—

153

D₄

—

154

D₄

—

155

D₄

—

156

D₄

—

157

D₄

—

158

D₄

—

159

C₂×C₄

—

160

C₂×C₄

—

161

C₂×C₄

—

162

C₂×C₄

—

163

C₂×C₄

D₈×C₁₀₉

yes

complemented

164

C₂×C₄

C₂×D₄×C₁₀₉

yes

characteristic

165

C₂×C₄

C₂×D₄×C₁₀₉

yes

—

166

C₂×C₄

C₂×D₄×C₁₀₉

yes

—

167

C₂×C₄

#41×C₁₀₉

yes

characteristic

168

C₈

—

169

C₂²

—

170

C₂²

—

171

C₂²

—

172

C₂²

—

173

C₂²

—

174

C₂²

—

175

C₂²

—

176

C₂²

—

177

C₂²

—

178

C₂²

—

179

C₂²

#120×C₁₀₉

yes

characteristic

180

C₂²

#121×C₁₀₉

yes

characteristic

181

C₂²

#127×C₁₀₉

yes

characteristic

182

C₂²

C₂×D₈×C₁₀₉

yes

—

183

C₂²

AGL(1,ℤ/8)×C₁₀₉

yes

—

184

C₄

—

185

C₄

—

186

C₄

#120×C₁₀₉

yes

—

187

C₄

#121×C₁₀₉

yes

—

188

C₂

—

189

C₂

—

190

C₂

#392×C₁₀₉

yes

characteristic

191

C₂

#447×C₁₀₉

yes

—

192

C₂

#459×C₁₀₉

yes

—

193

C₂

#493×C₁₀₉

yes

characteristic

194

C₂

#496×C₁₀₉

yes

characteristic

	subgroup	G/H
center, socle	C₂³×C₁₀₉	C₂×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂³×C₁₀₉
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₀₉ ◁ C₂×C₄²×C₁₀₉ ◁ G

subgroup

G/H

center, socle

C₂³×C₁₀₉

C₂×D₄

commutator, Frattini, cosocle

C₂²×C₄

C₂³×C₁₀₉

LCS

G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

UCS

C₁ ◁ C₂³×C₁₀₉ ◁ C₂×C₄²×C₁₀₉ ◁ G

N	H ≅ G/N	type
1. C₂²×D₈×C₁₀₉	C₂	semidirect
2. C₂×#127×C₁₀₉	C₂	semidirect
3. C₂×#102×C₁₀₉	C₂	semidirect
4. #390×C₁₀₉	C₂	semidirect
5. #336×C₁₀₉	C₂	semidirect
32. C₂×D₄×C₁₀₉	D₄	semidirect
39. C₂×C₈×C₁₀₉	D₄	semidirect
65. C₂×C₄×C₁₀₉	D₈	semidirect
97. #2011	C₁₀₉	direct (N × H)
98. C₁₀₉	#2011	direct (N × H)
99. C₂²×D₈	C₂×C₁₀₉	semidirect
100. C₂×#127	C₂×C₁₀₉	semidirect
101. C₂×#102	C₂×C₁₀₉	semidirect
102. #390	C₂×C₁₀₉	semidirect
103. #336	C₂×C₁₀₉	semidirect
130. C₂×D₄	D₄×C₁₀₉	semidirect
137. C₂×C₈	D₄×C₁₀₉	semidirect
163. C₂×C₄	D₈×C₁₀₉	semidirect

H ≅ G/N

type

1. C₂²×D₈×C₁₀₉

C₂

semidirect

2. C₂×#127×C₁₀₉

C₂

semidirect

3. C₂×#102×C₁₀₉

C₂

semidirect

4. #390×C₁₀₉

C₂

semidirect

5. #336×C₁₀₉

C₂

semidirect

32. C₂×D₄×C₁₀₉

D₄

semidirect

39. C₂×C₈×C₁₀₉

D₄

semidirect

65. C₂×C₄×C₁₀₉

D₈

semidirect

97. #2011

C₁₀₉

direct (N × H)

98. C₁₀₉

#2011

direct (N × H)

99. C₂²×D₈

C₂×C₁₀₉

semidirect

100. C₂×#127

C₂×C₁₀₉

semidirect

101. C₂×#102

C₂×C₁₀₉

semidirect

102. #390

C₂×C₁₀₉

semidirect

103. #336

C₂×C₁₀₉

semidirect

130. C₂×D₄

D₄×C₁₀₉

semidirect

137. C₂×C₈

D₄×C₁₀₉

semidirect

163. C₂×C₄

D₈×C₁₀₉

semidirect

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

subgroup	index
C₂²×D₈×C₁₀₉	2
C₂×#127×C₁₀₉	2
C₂×#102×C₁₀₉	2
#390×C₁₀₉	2
#336×C₁₀₉	2
#2011	109

subgroup

index

C₂²×D₈×C₁₀₉

C₂×#127×C₁₀₉

C₂×#102×C₁₀₉

#390×C₁₀₉

#336×C₁₀₉

#2011

109

Subgroups — C₁₀₉×#2011 #28359265

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C109×#2011 #28359265

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₀₉×#2011 #28359265