Group #21490047 — subgroups

Subgroups — C₃₁×#33288 #21490047

Order 7936.

684 conjugacy classes of subgroups; only the 238 normal subgroups are shown.

normal subgroups only

This group has 684 conjugacy classes of subgroups — too many to draw. Only its 238 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	C₃₁×#2864	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₁×#2861	C₂	1	1	yes	maximal, characteristic
3	C₃₁×#1991	C₂	1	2	yes	maximal, complemented
4	C₃₁×#1958	C₂	1	2	yes	maximal
5	C₃₁×#1936	C₂	1	4	yes	maximal
6	C₃₁×#1935	C₂	1	4	yes	maximal, complemented
7	C₄×C₃₁×#97	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₃₁×#125	C₂²	1	1	yes	characteristic
9	C₂×C₃₁×#124	C₂²	1	1	yes	characteristic
10	C₂×C₃₁×#103	C₂²	1	4	yes	—
11	C₂×C₃₁×#102	C₂²	1	4	yes	—
12	C₂×C₃₁×#97	C₂²	1	4	yes	—
13	C₂×C₄×C₈×C₃₁	C₂²	1	2	yes	—
14	C₃₁×#391	C₂²	1	2	yes	—
15	C₃₁×#390	C₂²	1	2	yes	—
16	C₃₁×#389	C₂²	1	4	yes	—
17	C₃₁×#388	—	2	4	no	—
18	C₃₁×#387	—	2	4	no	—
19	C₃₁×#382	C₂²	1	2	yes	—
20	C₄³×C₃₁	C₂²	1	1	yes	characteristic
21	C₃₁×#340	C₂²	1	8	yes	—
22	C₂²×Q₈×C₃₁	C₂³	1	1	yes	characteristic
23	C₂²×D₄×C₃₁	C₂³	1	1	yes	characteristic
24	C₂²×C₈×C₃₁	C₂³	1	4	yes	—
25	C₃₁×#125	—	2	4	no	—
26	C₃₁×#124	—	2	4	no	—
27	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
28	C₂×C₄⋊C₄×C₃₁	—	2	4	no	—
29	C₂×C₄⋊C₄×C₃₁	C₂³	1	4	yes	—
30	C₂×C₄⋊C₄×C₃₁	C₂³	1	2	yes	—
31	C₂×C₂²⋊C₄×C₃₁	—	2	2	no	—
32	C₂×C₂²⋊C₄×C₃₁	—	2	4	no	—
33	C₂×C₄²×C₃₁	D₄	1	4	yes	—
34	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
35	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
36	C₃₁×#103	—	2	8	no	—
37	C₃₁×#102	—	2	8	no	—
38	C₃₁×#97	—	2	8	no	—
39	C₄×C₈×C₃₁	—	2	4	no	—
40	C₃₁×#95	—	2	4	no	—
41	C₃₁×#95	—	2	4	no	—
42	C₃₁×#95	—	2	4	no	—
43	C₂⁴×C₃₁	—	2	1	no	—
44	C₂×Q₈×C₃₁	—	2	4	no	—
45	C₂×Q₈×C₃₁	—	2	2	no	—
46	C₂×D₄×C₃₁	—	2	4	no	—
47	C₂×D₄×C₃₁	—	2	2	no	—
48	C₂²×C₄×C₃₁	—	2	1	no	—
49	C₂²×C₄×C₃₁	—	2	4	no	—
50	C₂²×C₄×C₃₁	—	2	2	no	—
51	C₂²×C₄×C₃₁	C₂×D₄	1	4	yes	—
52	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
53	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
54	C₂×C₈×C₃₁	—	2	4	no	—
55	C₂×C₈×C₃₁	—	2	4	no	—
56	C₂×C₈×C₃₁	#41	1	8	yes	—
57	C₄⋊C₄×C₃₁	—	2	4	no	—
58	C₄⋊C₄×C₃₁	—	2	4	no	—
59	C₄⋊C₄×C₃₁	—	2	4	no	—
60	C₄⋊C₄×C₃₁	—	4	8	no	—
61	C₄⋊C₄×C₃₁	—	4	4	no	—
62	C₂²⋊C₄×C₃₁	—	4	8	no	—
63	C₂²⋊C₄×C₃₁	—	4	4	no	—
64	C₄²×C₃₁	—	2	4	no	—
65	C₄²×C₃₁	—	4	4	no	—
66	C₄²×C₃₁	#41	1	4	yes	—
67	#33288	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
68	C₂³×C₃₁	—	4	1	no	—
69	C₂³×C₃₁	—	4	2	no	—
70	C₂³×C₃₁	—	4	4	no	—
71	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
72	Q₈×C₃₁	—	4	4	no	—
73	D₄×C₃₁	—	4	4	no	—
74	C₂×C₄×C₃₁	—	2	4	no	—
75	C₂×C₄×C₃₁	—	2	4	no	—
76	C₂×C₄×C₃₁	—	2	4	no	—
77	C₂×C₄×C₃₁	—	2	4	no	—
78	C₂×C₄×C₃₁	—	4	1	no	—
79	C₂×C₄×C₃₁	—	4	2	no	—
80	C₂×C₄×C₃₁	—	4	4	no	—
81	C₂×C₄×C₃₁	—	4	2	no	—
82	C₂×C₄×C₃₁	—	4	4	no	—
83	C₂×C₄×C₃₁	—	4	8	no	—
84	C₂×C₄×C₃₁	#124	1	4	yes	—
85	C₂×C₄×C₃₁	C₂×#41	1	2	yes	—
86	C₂×C₄×C₃₁	C₂×#41	1	4	yes	—
87	C₈×C₃₁	—	2	8	no	—
88	#2864	C₂×C₃₁	1	1	yes	characteristic, complemented
89	#2861	C₂×C₃₁	1	1	yes	characteristic
90	#1991	C₂×C₃₁	1	2	yes	complemented
91	#1958	C₂×C₃₁	1	2	yes	—
92	#1936	C₂×C₃₁	1	4	yes	—
93	#1935	C₂×C₃₁	1	4	yes	complemented
94	C₄×#97	C₂×C₃₁	1	1	yes	characteristic, complemented
95	C₂²×C₃₁	—	8	1	no	—
96	C₂²×C₃₁	—	8	2	no	—
97	C₂²×C₃₁	—	8	4	no	—
98	C₂²×C₃₁	C₂×#124	1	1	yes	characteristic
99	C₂²×C₃₁	#532	1	2	yes	—
100	C₂²×C₃₁	#575	1	4	yes	—
101	C₄×C₃₁	—	2	4	no	—
102	C₄×C₃₁	—	4	4	no	—
103	C₄×C₃₁	—	8	1	no	—
104	C₄×C₃₁	—	8	2	no	—
105	C₄×C₃₁	—	8	4	no	—
106	C₄×C₃₁	#529	1	4	yes	—
107	C₂×#125	C₂²×C₃₁	1	1	yes	characteristic
108	C₂×#124	C₂²×C₃₁	1	1	yes	characteristic
109	C₂×#103	C₂²×C₃₁	1	4	yes	—
110	C₂×#102	C₂²×C₃₁	1	4	yes	—
111	C₂×#97	C₂²×C₃₁	1	4	yes	—
112	C₂×C₄×C₈	C₂²×C₃₁	1	2	yes	—
113	#391	C₂²×C₃₁	1	2	yes	—
114	#390	C₂²×C₃₁	1	2	yes	—
115	#389	C₂²×C₃₁	1	4	yes	—
116	#388	—	2	4	no	—
117	#387	—	2	4	no	—
118	#382	C₂²×C₃₁	1	2	yes	—
119	C₄³	C₂²×C₃₁	1	1	yes	characteristic
120	#340	C₂²×C₃₁	1	8	yes	—
121	C₂×C₃₁	—	16	1	no	—
122	C₂×C₃₁	#2861	1	1	yes	characteristic
123	C₂×C₃₁	#3135	1	2	yes	—
124	C₂×C₃₁	#3183	1	4	yes	—
125	C₂²×Q₈	C₂³×C₃₁	1	1	yes	characteristic
126	C₂²×D₄	C₂³×C₃₁	1	1	yes	characteristic
127	C₂²×C₈	C₂³×C₃₁	1	4	yes	—
128	#125	—	2	4	no	—
129	#124	—	2	4	no	—
130	C₂×C₄⋊C₄	—	2	2	no	—
131	C₂×C₄⋊C₄	—	2	4	no	—
132	C₂×C₄⋊C₄	C₂³×C₃₁	1	2	yes	—
133	C₂×C₄⋊C₄	C₂³×C₃₁	1	4	yes	—
134	C₂×C₂²⋊C₄	—	2	2	no	—
135	C₂×C₂²⋊C₄	—	2	4	no	—
136	C₂×C₄²	D₄×C₃₁	1	4	yes	—
137	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
138	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
139	#103	—	2	8	no	—
140	#102	—	2	8	no	—
141	#97	—	2	8	no	—
142	C₄×C₈	—	2	4	no	—
143	#95	—	2	4	no	—
144	#95	—	2	4	no	—
145	#95	—	2	4	no	—
146	C₃₁	#33288	1	1	yes	characteristic, direct product factor, Sylow
147	C₂⁴	—	2	1	no	—
148	C₂×Q₈	—	2	4	no	—
149	C₂×Q₈	—	2	2	no	—
150	C₂×D₄	—	2	4	no	—
151	C₂×D₄	—	2	2	no	—
152	C₂²×C₄	—	2	1	no	—
153	C₂²×C₄	—	2	4	no	—
154	C₂²×C₄	—	2	2	no	—
155	C₂²×C₄	C₂×D₄×C₃₁	1	4	yes	—
156	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
157	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
158	C₂×C₈	—	2	4	no	—
159	C₂×C₈	—	2	4	no	—
160	C₂×C₈	#41×C₃₁	1	8	yes	—
161	C₄⋊C₄	—	2	4	no	—
162	C₄⋊C₄	—	2	4	no	—
163	C₄⋊C₄	—	2	4	no	—
164	C₄⋊C₄	—	4	8	no	—
165	C₄⋊C₄	—	4	4	no	—
166	C₂²⋊C₄	—	4	8	no	—
167	C₂²⋊C₄	—	4	4	no	—
168	C₄²	—	2	4	no	—
169	C₄²	—	4	4	no	—
170	C₄²	#41×C₃₁	1	4	yes	—
171	C₂³	—	4	1	no	—
172	C₂³	—	4	2	no	—
173	C₂³	—	4	4	no	—
174	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
175	Q₈	—	4	4	no	—
176	D₄	—	4	4	no	—
177	C₂×C₄	—	2	4	no	—
178	C₂×C₄	—	2	4	no	—
179	C₂×C₄	—	2	4	no	—
180	C₂×C₄	—	2	4	no	—
181	C₂×C₄	—	4	1	no	—
182	C₂×C₄	—	4	2	no	—
183	C₂×C₄	—	4	4	no	—
184	C₂×C₄	—	4	2	no	—
185	C₂×C₄	—	4	4	no	—
186	C₂×C₄	—	4	8	no	—
187	C₂×C₄	C₃₁×#124	1	4	yes	—
188	C₂×C₄	C₂×#41×C₃₁	1	2	yes	—
189	C₂×C₄	C₂×#41×C₃₁	1	4	yes	—
190	C₈	—	2	8	no	—
191	C₂²	—	8	1	no	—
192	C₂²	—	8	2	no	—
193	C₂²	—	8	4	no	—
194	C₂²	C₂×C₃₁×#124	1	1	yes	characteristic
195	C₂²	C₃₁×#532	1	2	yes	—
196	C₂²	C₃₁×#575	1	4	yes	—
197	C₄	—	2	4	no	—
198	C₄	—	4	4	no	—
199	C₄	—	8	1	no	—
200	C₄	—	8	2	no	—
201	C₄	—	8	4	no	—
202	C₄	C₃₁×#529	1	4	yes	—
203	C₂	—	16	1	no	—
204	C₂	C₃₁×#2861	1	1	yes	characteristic
205	C₂	C₃₁×#3135	1	2	yes	—
206	C₂	C₃₁×#3183	1	4	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₃₁×#2864

C₂

yes

maximal, characteristic, complemented

C₃₁×#2861

C₂

yes

maximal, characteristic

C₃₁×#1991

C₂

yes

maximal, complemented

C₃₁×#1958

C₂

yes

maximal

C₃₁×#1936

C₂

yes

maximal

C₃₁×#1935

C₂

yes

maximal, complemented

C₄×C₃₁×#97

C₂

yes

maximal, characteristic, complemented

C₂×C₃₁×#125

C₂²

yes

characteristic

C₂×C₃₁×#124

C₂²

yes

characteristic

C₂×C₃₁×#103

C₂²

yes

—

C₂×C₃₁×#102

C₂²

yes

—

C₂×C₃₁×#97

C₂²

yes

—

C₂×C₄×C₈×C₃₁

C₂²

yes

—

C₃₁×#391

C₂²

yes

—

C₃₁×#390

C₂²

yes

—

C₃₁×#389

C₂²

yes

—

C₃₁×#388

—

C₃₁×#387

—

C₃₁×#382

C₂²

yes

—

C₄³×C₃₁

C₂²

yes

characteristic

C₃₁×#340

C₂²

yes

—

C₂²×Q₈×C₃₁

C₂³

yes

characteristic

C₂²×D₄×C₃₁

C₂³

yes

characteristic

C₂²×C₈×C₃₁

C₂³

yes

—

C₃₁×#125

—

C₃₁×#124

—

C₂×C₄⋊C₄×C₃₁

—

C₂×C₄⋊C₄×C₃₁

—

C₂×C₄⋊C₄×C₃₁

C₂³

yes

—

C₂×C₄⋊C₄×C₃₁

C₂³

yes

—

C₂×C₂²⋊C₄×C₃₁

—

C₂×C₂²⋊C₄×C₃₁

—

C₂×C₄²×C₃₁

D₄

yes

—

C₂×C₄²×C₃₁

C₂³

yes

—

C₂×C₄²×C₃₁

C₂³

yes

characteristic

C₃₁×#103

—

C₃₁×#102

—

C₃₁×#97

—

C₄×C₈×C₃₁

—

C₃₁×#95

—

C₃₁×#95

—

C₃₁×#95

—

C₂⁴×C₃₁

—

C₂×Q₈×C₃₁

—

C₂×Q₈×C₃₁

—

C₂×D₄×C₃₁

—

C₂×D₄×C₃₁

—

C₂²×C₄×C₃₁

—

C₂²×C₄×C₃₁

—

C₂²×C₄×C₃₁

—

C₂²×C₄×C₃₁

C₂×D₄

yes

—

C₂²×C₄×C₃₁

C₂×D₄

yes

—

C₂²×C₄×C₃₁

C₂⁴

yes

characteristic

C₂×C₈×C₃₁

—

C₂×C₈×C₃₁

—

C₂×C₈×C₃₁

#41

yes

—

C₄⋊C₄×C₃₁

—

C₄⋊C₄×C₃₁

—

C₄⋊C₄×C₃₁

—

C₄⋊C₄×C₃₁

—

C₄⋊C₄×C₃₁

—

C₂²⋊C₄×C₃₁

—

C₂²⋊C₄×C₃₁

—

C₄²×C₃₁

—

C₄²×C₃₁

—

C₄²×C₃₁

#41

yes

—

#33288

C₃₁

yes

maximal, characteristic, direct product factor, Sylow

C₂³×C₃₁

—

C₂³×C₃₁

—

C₂³×C₃₁

—

C₂³×C₃₁

C₂²×D₄

yes

characteristic

Q₈×C₃₁

—

D₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

#124

yes

—

C₂×C₄×C₃₁

C₂×#41

yes

—

C₂×C₄×C₃₁

C₂×#41

yes

—

C₈×C₃₁

—

#2864

C₂×C₃₁

yes

characteristic, complemented

#2861

C₂×C₃₁

yes

characteristic

#1991

C₂×C₃₁

yes

complemented

#1958

C₂×C₃₁

yes

—

#1936

C₂×C₃₁

yes

—

#1935

C₂×C₃₁

yes

complemented

C₄×#97

C₂×C₃₁

yes

characteristic, complemented

C₂²×C₃₁

—

C₂²×C₃₁

—

C₂²×C₃₁

—

C₂²×C₃₁

C₂×#124

yes

characteristic

C₂²×C₃₁

#532

yes

—

100

C₂²×C₃₁

#575

yes

—

101

C₄×C₃₁

—

102

C₄×C₃₁

—

103

C₄×C₃₁

—

104

C₄×C₃₁

—

105

C₄×C₃₁

—

106

C₄×C₃₁

#529

yes

—

107

C₂×#125

C₂²×C₃₁

yes

characteristic

108

C₂×#124

C₂²×C₃₁

yes

characteristic

109

C₂×#103

C₂²×C₃₁

yes

—

110

C₂×#102

C₂²×C₃₁

yes

—

111

C₂×#97

C₂²×C₃₁

yes

—

112

C₂×C₄×C₈

C₂²×C₃₁

yes

—

113

#391

C₂²×C₃₁

yes

—

114

#390

C₂²×C₃₁

yes

—

115

#389

C₂²×C₃₁

yes

—

116

#388

—

117

#387

—

118

#382

C₂²×C₃₁

yes

—

119

C₄³

C₂²×C₃₁

yes

characteristic

120

#340

C₂²×C₃₁

yes

—

121

C₂×C₃₁

—

122

C₂×C₃₁

#2861

yes

characteristic

123

C₂×C₃₁

#3135

yes

—

124

C₂×C₃₁

#3183

yes

—

125

C₂²×Q₈

C₂³×C₃₁

yes

characteristic

126

C₂²×D₄

C₂³×C₃₁

yes

characteristic

127

C₂²×C₈

C₂³×C₃₁

yes

—

128

#125

—

129

#124

—

130

C₂×C₄⋊C₄

—

131

C₂×C₄⋊C₄

—

132

C₂×C₄⋊C₄

C₂³×C₃₁

yes

—

133

C₂×C₄⋊C₄

C₂³×C₃₁

yes

—

134

C₂×C₂²⋊C₄

—

135

C₂×C₂²⋊C₄

—

136

C₂×C₄²

D₄×C₃₁

yes

—

137

C₂×C₄²

C₂³×C₃₁

yes

—

138

C₂×C₄²

C₂³×C₃₁

yes

characteristic

139

#103

—

140

#102

—

141

#97

—

142

C₄×C₈

—

143

#95

—

144

#95

—

145

#95

—

146

C₃₁

#33288

yes

characteristic, direct product factor, Sylow

147

C₂⁴

—

148

C₂×Q₈

—

149

C₂×Q₈

—

150

C₂×D₄

—

151

C₂×D₄

—

152

C₂²×C₄

—

153

C₂²×C₄

—

154

C₂²×C₄

—

155

C₂²×C₄

C₂×D₄×C₃₁

yes

—

156

C₂²×C₄

C₂×D₄×C₃₁

yes

—

157

C₂²×C₄

C₂⁴×C₃₁

yes

characteristic

158

C₂×C₈

—

159

C₂×C₈

—

160

C₂×C₈

#41×C₃₁

yes

—

161

C₄⋊C₄

—

162

C₄⋊C₄

—

163

C₄⋊C₄

—

164

C₄⋊C₄

—

165

C₄⋊C₄

—

166

C₂²⋊C₄

—

167

C₂²⋊C₄

—

168

C₄²

—

169

C₄²

—

170

C₄²

#41×C₃₁

yes

—

171

C₂³

—

172

C₂³

—

173

C₂³

—

174

C₂³

C₂²×D₄×C₃₁

yes

characteristic

175

Q₈

—

176

D₄

—

177

C₂×C₄

—

178

C₂×C₄

—

179

C₂×C₄

—

180

C₂×C₄

—

181

C₂×C₄

—

182

C₂×C₄

—

183

C₂×C₄

—

184

C₂×C₄

—

185

C₂×C₄

—

186

C₂×C₄

—

187

C₂×C₄

C₃₁×#124

yes

—

188

C₂×C₄

C₂×#41×C₃₁

yes

—

189

C₂×C₄

C₂×#41×C₃₁

yes

—

190

C₈

—

191

C₂²

—

192

C₂²

—

193

C₂²

—

194

C₂²

C₂×C₃₁×#124

yes

characteristic

195

C₂²

C₃₁×#532

yes

—

196

C₂²

C₃₁×#575

yes

—

197

C₄

—

198

C₄

—

199

C₄

—

200

C₄

—

201

C₄

—

202

C₄

C₃₁×#529

yes

—

203

C₂

—

204

C₂

C₃₁×#2861

yes

characteristic

205

C₂

C₃₁×#3135

yes

—

206

C₂

C₃₁×#3183

yes

—

	subgroup	G/H
center, socle	C₂³×C₃₁	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₁
prime radical	C₂²×D₄×C₃₁	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃₁ ◁ C₄³×C₃₁ ◁ G

subgroup

G/H

center, socle

C₂³×C₃₁

C₂²×D₄

commutator, Frattini, cosocle

C₂²×C₄

C₂⁴×C₃₁

prime radical

C₂²×D₄×C₃₁

C₂³

LCS

G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

UCS

C₁ ◁ C₂³×C₃₁ ◁ C₄³×C₃₁ ◁ G

N	H ≅ G/N	type
1. C₃₁×#2864	C₂	semidirect
3. C₃₁×#1991	C₂	semidirect
6. C₃₁×#1935	C₂	semidirect
7. C₄×C₃₁×#97	C₂	semidirect
67. #33288	C₃₁	direct (N × H)
88. #2864	C₂×C₃₁	semidirect
90. #1991	C₂×C₃₁	semidirect
93. #1935	C₂×C₃₁	semidirect
94. C₄×#97	C₂×C₃₁	semidirect
146. C₃₁	#33288	direct (N × H)

H ≅ G/N

type

1. C₃₁×#2864

C₂

semidirect

3. C₃₁×#1991

C₂

semidirect

6. C₃₁×#1935

C₂

semidirect

7. C₄×C₃₁×#97

C₂

semidirect

67. #33288

C₃₁

direct (N × H)

88. #2864

C₂×C₃₁

semidirect

90. #1991

C₂×C₃₁

semidirect

93. #1935

C₂×C₃₁

semidirect

94. C₄×#97

C₂×C₃₁

semidirect

146. C₃₁

#33288

direct (N × H)

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

subgroup	index
C₃₁×#2864	2
C₃₁×#2861	2
C₃₁×#1991	2
C₃₁×#1958	2
C₃₁×#1936	2
C₃₁×#1935	2
C₄×C₃₁×#97	2
#33288	31

subgroup

index

C₃₁×#2864

C₃₁×#2861

C₃₁×#1991

C₃₁×#1958

C₃₁×#1936

C₃₁×#1935

C₄×C₃₁×#97

#33288

Subgroups — C₃₁×#33288 #21490047

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C31×#33288 #21490047

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#33288 #21490047