Group #21489986 — subgroups

Subgroups — C₃₁×#33227 #21489986

Order 7936.

986 conjugacy classes of subgroups; only the 318 normal subgroups are shown.

normal subgroups only

This group has 986 conjugacy classes of subgroups — too many to draw. Only its 318 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×C₃₁×#487	C₂	1	2	yes	maximal, complemented
2	C₂×C₃₁×#486	C₂	1	2	yes	maximal
3	C₃₁×#2862	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#2858	C₂	1	1	yes	maximal, characteristic
5	C₃₁×#1958	C₂	1	8	yes	maximal, complemented
6	C₄²×C₈×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₃₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
8	C₂×C₃₁×C₄⋊Q₈	C₂²	1	2	yes	—
9	C₂×C₃₁×#127	C₂²	1	1	yes	characteristic
10	C₂×C₃₁×#124	C₂²	1	4	yes	—
11	C₃₁×#487	—	2	8	no	—
12	C₃₁×#486	—	2	8	no	—
13	C₂×C₃₁×#103	C₂²	1	8	yes	—
14	C₂×C₃₁×#102	C₂²	1	8	yes	—
15	C₂×C₄×C₈×C₃₁	C₂²	1	4	yes	—
16	C₂×C₄×C₈×C₃₁	C₂²	1	2	yes	—
17	C₃₁×#391	—	2	4	no	—
18	C₃₁×#390	—	2	4	no	—
19	C₃₁×#382	C₂²	1	4	yes	—
20	C₄³×C₃₁	C₂²	1	1	yes	characteristic
21	C₂²×Q₈×C₃₁	—	2	2	no	—
22	C₂²×Q₈×C₃₁	C₂³	1	2	yes	—
23	C₂²×D₄×C₃₁	—	2	2	no	—
24	C₂²×D₄×C₃₁	C₂³	1	2	yes	—
25	C₂²×C₈×C₃₁	C₂³	1	4	yes	—
26	C₃₁×C₄⋊Q₈	—	2	4	no	—
27	C₃₁×C₄⋊Q₈	—	2	4	no	—
28	C₃₁×C₄⋊Q₈	—	2	4	no	—
29	C₃₁×#127	—	2	4	no	—
30	C₃₁×#124	—	2	16	no	—
31	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
32	C₂×C₄⋊C₄×C₃₁	—	2	2	no	—
33	C₂×C₄⋊C₄×C₃₁	C₂³	1	4	yes	—
34	C₂×C₂²⋊C₄×C₃₁	—	2	8	no	—
35	C₂×C₄²×C₃₁	D₄	1	4	yes	—
36	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
37	C₂×C₄²×C₃₁	C₂³	1	2	yes	—
38	C₃₁×#103	—	2	16	no	—
39	C₃₁×#102	—	2	16	no	—
40	C₄×C₈×C₃₁	—	2	8	no	—
41	C₄×C₈×C₃₁	D₄	1	8	yes	—
42	C₃₁×#95	—	2	8	no	—
43	C₂⁴×C₃₁	—	2	2	no	—
44	C₂×Q₈×C₃₁	—	2	4	no	—
45	C₂×Q₈×C₃₁	—	2	8	no	—
46	C₂×Q₈×C₃₁	—	4	4	no	—
47	C₂×Q₈×C₃₁	—	4	8	no	—
48	C₂×D₄×C₃₁	—	2	4	no	—
49	C₂×D₄×C₃₁	—	2	8	no	—
50	C₂×D₄×C₃₁	—	4	4	no	—
51	C₂×D₄×C₃₁	—	4	8	no	—
52	C₂²×C₄×C₃₁	—	2	4	no	—
53	C₂²×C₄×C₃₁	—	2	2	no	—
54	C₂²×C₄×C₃₁	C₂×D₄	1	4	yes	—
55	C₂²×C₄×C₃₁	C₂×D₄	1	2	yes	—
56	C₂²×C₄×C₃₁	C₂⁴	1	1	yes	characteristic
57	C₂×C₈×C₃₁	—	2	8	no	—
58	C₂×C₈×C₃₁	C₂×D₄	1	8	yes	—
59	C₄⋊C₄×C₃₁	—	2	4	no	—
60	C₄⋊C₄×C₃₁	—	2	4	no	—
61	C₄⋊C₄×C₃₁	—	4	4	no	—
62	C₄⋊C₄×C₃₁	—	4	4	no	—
63	C₂²⋊C₄×C₃₁	—	4	16	no	—
64	C₄²×C₃₁	—	2	8	no	—
65	C₄²×C₃₁	C₂×D₄	1	4	yes	—
66	C₄²×C₃₁	#41	1	8	yes	—
67	#33227	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
68	C₂³×C₃₁	—	4	4	no	—
69	C₂³×C₃₁	—	4	2	no	—
70	C₂³×C₃₁	—	4	8	no	—
71	C₂³×C₃₁	C₂²×D₄	1	1	yes	characteristic
72	Q₈×C₃₁	—	4	8	no	—
73	Q₈×C₃₁	—	8	8	no	—
74	D₄×C₃₁	—	4	8	no	—
75	D₄×C₃₁	—	8	8	no	—
76	C₂×C₄×C₃₁	—	2	8	no	—
77	C₂×C₄×C₃₁	—	4	4	no	—
78	C₂×C₄×C₃₁	—	4	4	no	—
79	C₂×C₄×C₃₁	—	4	2	no	—
80	C₂×C₄×C₃₁	—	4	8	no	—
81	C₂×C₄×C₃₁	#124	1	8	yes	—
82	C₂×C₄×C₃₁	#127	1	4	yes	—
83	C₂×C₄×C₃₁	#135	1	8	yes	—
84	C₂×C₄×C₃₁	C₂²×D₄	1	2	yes	—
85	C₂×C₄×C₃₁	C₂×#41	1	4	yes	—
86	C₈×C₃₁	—	2	8	no	—
87	C₂×#487	C₂×C₃₁	1	2	yes	complemented
88	C₂×#486	C₂×C₃₁	1	2	yes	—
89	#2862	C₂×C₃₁	1	1	yes	characteristic, complemented
90	#2858	C₂×C₃₁	1	1	yes	characteristic
91	#1958	C₂×C₃₁	1	8	yes	complemented
92	C₄²×C₈	C₂×C₃₁	1	1	yes	characteristic, complemented
93	C₂²×C₃₁	—	8	2	no	—
94	C₂²×C₃₁	—	8	8	no	—
95	C₂²×C₃₁	—	8	4	no	—
96	C₂²×C₃₁	C₂×#124	1	2	yes	—
97	C₂²×C₃₁	C₂×#127	1	1	yes	characteristic
98	C₂²×C₃₁	C₂×#135	1	4	yes	—
99	C₄×C₃₁	—	2	8	no	—
100	C₄×C₃₁	—	8	2	no	—
101	C₄×C₃₁	—	8	4	no	—
102	C₄×C₃₁	#495	1	8	yes	—
103	C₄×C₃₁	#532	1	4	yes	—
104	C₂×C₄⋊Q₈	C₂²×C₃₁	1	1	yes	characteristic
105	C₂×C₄⋊Q₈	C₂²×C₃₁	1	2	yes	—
106	C₂×#127	C₂²×C₃₁	1	1	yes	characteristic
107	C₂×#124	C₂²×C₃₁	1	4	yes	—
108	#487	—	2	8	no	—
109	#486	—	2	8	no	—
110	C₂×#103	C₂²×C₃₁	1	8	yes	—
111	C₂×#102	C₂²×C₃₁	1	8	yes	—
112	C₂×C₄×C₈	C₂²×C₃₁	1	4	yes	—
113	C₂×C₄×C₈	C₂²×C₃₁	1	2	yes	—
114	#391	—	2	4	no	—
115	#390	—	2	4	no	—
116	#382	C₂²×C₃₁	1	4	yes	—
117	C₄³	C₂²×C₃₁	1	1	yes	characteristic
118	C₂×C₃₁	—	16	2	no	—
119	C₂×C₃₁	#2858	1	1	yes	characteristic
120	C₂×C₃₁	#3131	1	4	yes	—
121	C₂×C₃₁	C₂×#495	1	2	yes	—
122	C₂²×Q₈	—	2	2	no	—
123	C₂²×Q₈	C₂³×C₃₁	1	2	yes	—
124	C₂²×D₄	—	2	2	no	—
125	C₂²×D₄	C₂³×C₃₁	1	2	yes	—
126	C₂²×C₈	C₂³×C₃₁	1	4	yes	—
127	C₄⋊Q₈	—	2	4	no	—
128	C₄⋊Q₈	—	2	4	no	—
129	C₄⋊Q₈	—	2	4	no	—
130	#127	—	2	4	no	—
131	#124	—	2	16	no	—
132	C₂×C₄⋊C₄	—	2	2	no	—
133	C₂×C₄⋊C₄	—	2	2	no	—
134	C₂×C₄⋊C₄	C₂³×C₃₁	1	4	yes	—
135	C₂×C₂²⋊C₄	—	2	8	no	—
136	C₂×C₄²	D₄×C₃₁	1	4	yes	—
137	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
138	C₂×C₄²	C₂³×C₃₁	1	2	yes	—
139	#103	—	2	16	no	—
140	#102	—	2	16	no	—
141	C₄×C₈	—	2	8	no	—
142	C₄×C₈	D₄×C₃₁	1	8	yes	—
143	#95	—	2	8	no	—
144	C₃₁	#33227	1	1	yes	characteristic, direct product factor, Sylow
145	C₂⁴	—	2	2	no	—
146	C₂×Q₈	—	2	4	no	—
147	C₂×Q₈	—	2	8	no	—
148	C₂×Q₈	—	4	4	no	—
149	C₂×Q₈	—	4	8	no	—
150	C₂×D₄	—	2	4	no	—
151	C₂×D₄	—	2	8	no	—
152	C₂×D₄	—	4	4	no	—
153	C₂×D₄	—	4	8	no	—
154	C₂²×C₄	—	2	4	no	—
155	C₂²×C₄	—	2	2	no	—
156	C₂²×C₄	C₂×D₄×C₃₁	1	4	yes	—
157	C₂²×C₄	C₂×D₄×C₃₁	1	2	yes	—
158	C₂²×C₄	C₂⁴×C₃₁	1	1	yes	characteristic
159	C₂×C₈	—	2	8	no	—
160	C₂×C₈	C₂×D₄×C₃₁	1	8	yes	—
161	C₄⋊C₄	—	2	4	no	—
162	C₄⋊C₄	—	2	4	no	—
163	C₄⋊C₄	—	4	4	no	—
164	C₄⋊C₄	—	4	4	no	—
165	C₂²⋊C₄	—	4	16	no	—
166	C₄²	—	2	8	no	—
167	C₄²	C₂×D₄×C₃₁	1	4	yes	—
168	C₄²	#41×C₃₁	1	8	yes	—
169	C₂³	—	4	4	no	—
170	C₂³	—	4	2	no	—
171	C₂³	—	4	8	no	—
172	C₂³	C₂²×D₄×C₃₁	1	1	yes	characteristic
173	Q₈	—	4	8	no	—
174	Q₈	—	8	8	no	—
175	D₄	—	4	8	no	—
176	D₄	—	8	8	no	—
177	C₂×C₄	—	2	8	no	—
178	C₂×C₄	—	4	4	no	—
179	C₂×C₄	—	4	4	no	—
180	C₂×C₄	—	4	2	no	—
181	C₂×C₄	—	4	8	no	—
182	C₂×C₄	C₃₁×#124	1	8	yes	—
183	C₂×C₄	C₃₁×#127	1	4	yes	—
184	C₂×C₄	C₃₁×#135	1	8	yes	—
185	C₂×C₄	C₂²×D₄×C₃₁	1	2	yes	—
186	C₂×C₄	C₂×#41×C₃₁	1	4	yes	—
187	C₈	—	2	8	no	—
188	C₂²	—	8	2	no	—
189	C₂²	—	8	8	no	—
190	C₂²	—	8	4	no	—
191	C₂²	C₂×C₃₁×#124	1	2	yes	—
192	C₂²	C₂×C₃₁×#127	1	1	yes	characteristic
193	C₂²	C₂×C₃₁×#135	1	4	yes	—
194	C₄	—	2	8	no	—
195	C₄	—	8	2	no	—
196	C₄	—	8	4	no	—
197	C₄	C₃₁×#495	1	8	yes	—
198	C₄	C₃₁×#532	1	4	yes	—
199	C₂	—	16	2	no	—
200	C₂	C₃₁×#2858	1	1	yes	characteristic
201	C₂	C₃₁×#3131	1	4	yes	—
202	C₂	C₂×C₃₁×#495	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×C₃₁×#487

C₂

yes

maximal, complemented

C₂×C₃₁×#486

C₂

yes

maximal

C₃₁×#2862

C₂

yes

maximal, characteristic, complemented

C₃₁×#2858

C₂

yes

maximal, characteristic

C₃₁×#1958

C₂

yes

maximal, complemented

C₄²×C₈×C₃₁

C₂

yes

maximal, characteristic, complemented

C₂×C₃₁×C₄⋊Q₈

C₂²

yes

characteristic

C₂×C₃₁×C₄⋊Q₈

C₂²

yes

—

C₂×C₃₁×#127

C₂²

yes

characteristic

C₂×C₃₁×#124

C₂²

yes

—

C₃₁×#487

—

C₃₁×#486

—

C₂×C₃₁×#103

C₂²

yes

—

C₂×C₃₁×#102

C₂²

yes

—

C₂×C₄×C₈×C₃₁

C₂²

yes

—

C₂×C₄×C₈×C₃₁

C₂²

yes

—

C₃₁×#391

—

C₃₁×#390

—

C₃₁×#382

C₂²

yes

—

C₄³×C₃₁

C₂²

yes

characteristic

C₂²×Q₈×C₃₁

—

C₂²×Q₈×C₃₁

C₂³

yes

—

C₂²×D₄×C₃₁

—

C₂²×D₄×C₃₁

C₂³

yes

—

C₂²×C₈×C₃₁

C₂³

yes

—

C₃₁×C₄⋊Q₈

—

C₃₁×C₄⋊Q₈

—

C₃₁×C₄⋊Q₈

—

C₃₁×#127

—

C₃₁×#124

—

C₂×C₄⋊C₄×C₃₁

—

C₂×C₄⋊C₄×C₃₁

—

C₂×C₄⋊C₄×C₃₁

C₂³

yes

—

C₂×C₂²⋊C₄×C₃₁

—

C₂×C₄²×C₃₁

D₄

yes

—

C₂×C₄²×C₃₁

C₂³

yes

characteristic

C₂×C₄²×C₃₁

C₂³

yes

—

C₃₁×#103

—

C₃₁×#102

—

C₄×C₈×C₃₁

—

C₄×C₈×C₃₁

D₄

yes

—

C₃₁×#95

—

C₂⁴×C₃₁

—

C₂×Q₈×C₃₁

—

C₂×Q₈×C₃₁

—

C₂×Q₈×C₃₁

—

C₂×Q₈×C₃₁

—

C₂×D₄×C₃₁

—

C₂×D₄×C₃₁

—

C₂×D₄×C₃₁

—

C₂×D₄×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×D₄

yes

—

C₄⋊C₄×C₃₁

—

C₄⋊C₄×C₃₁

—

C₄⋊C₄×C₃₁

—

C₄⋊C₄×C₃₁

—

C₂²⋊C₄×C₃₁

—

C₄²×C₃₁

—

C₄²×C₃₁

C₂×D₄

yes

—

C₄²×C₃₁

#41

yes

—

#33227

C₃₁

yes

maximal, characteristic, direct product factor, Sylow

C₂³×C₃₁

—

C₂³×C₃₁

—

C₂³×C₃₁

—

C₂³×C₃₁

C₂²×D₄

yes

characteristic

Q₈×C₃₁

—

Q₈×C₃₁

—

D₄×C₃₁

—

D₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

—

C₂×C₄×C₃₁

#124

yes

—

C₂×C₄×C₃₁

#127

yes

—

C₂×C₄×C₃₁

#135

yes

—

C₂×C₄×C₃₁

C₂²×D₄

yes

—

C₂×C₄×C₃₁

C₂×#41

yes

—

C₈×C₃₁

—

C₂×#487

C₂×C₃₁

yes

complemented

C₂×#486

C₂×C₃₁

yes

—

#2862

C₂×C₃₁

yes

characteristic, complemented

#2858

C₂×C₃₁

yes

characteristic

#1958

C₂×C₃₁

yes

complemented

C₄²×C₈

C₂×C₃₁

yes

characteristic, complemented

C₂²×C₃₁

—

C₂²×C₃₁

—

C₂²×C₃₁

—

C₂²×C₃₁

C₂×#124

yes

—

C₂²×C₃₁

C₂×#127

yes

characteristic

C₂²×C₃₁

C₂×#135

yes

—

C₄×C₃₁

—

100

C₄×C₃₁

—

101

C₄×C₃₁

—

102

C₄×C₃₁

#495

yes

—

103

C₄×C₃₁

#532

yes

—

104

C₂×C₄⋊Q₈

C₂²×C₃₁

yes

characteristic

105

C₂×C₄⋊Q₈

C₂²×C₃₁

yes

—

106

C₂×#127

C₂²×C₃₁

yes

characteristic

107

C₂×#124

C₂²×C₃₁

yes

—

108

#487

—

109

#486

—

110

C₂×#103

C₂²×C₃₁

yes

—

111

C₂×#102

C₂²×C₃₁

yes

—

112

C₂×C₄×C₈

C₂²×C₃₁

yes

—

113

C₂×C₄×C₈

C₂²×C₃₁

yes

—

114

#391

—

115

#390

—

116

#382

C₂²×C₃₁

yes

—

117

C₄³

C₂²×C₃₁

yes

characteristic

118

C₂×C₃₁

—

119

C₂×C₃₁

#2858

yes

characteristic

120

C₂×C₃₁

#3131

yes

—

121

C₂×C₃₁

C₂×#495

yes

—

122

C₂²×Q₈

—

123

C₂²×Q₈

C₂³×C₃₁

yes

—

124

C₂²×D₄

—

125

C₂²×D₄

C₂³×C₃₁

yes

—

126

C₂²×C₈

C₂³×C₃₁

yes

—

127

C₄⋊Q₈

—

128

C₄⋊Q₈

—

129

C₄⋊Q₈

—

130

#127

—

131

#124

—

132

C₂×C₄⋊C₄

—

133

C₂×C₄⋊C₄

—

134

C₂×C₄⋊C₄

C₂³×C₃₁

yes

—

135

C₂×C₂²⋊C₄

—

136

C₂×C₄²

D₄×C₃₁

yes

—

137

C₂×C₄²

C₂³×C₃₁

yes

characteristic

138

C₂×C₄²

C₂³×C₃₁

yes

—

139

#103

—

140

#102

—

141

C₄×C₈

—

142

C₄×C₈

D₄×C₃₁

yes

—

143

#95

—

144

C₃₁

#33227

yes

characteristic, direct product factor, Sylow

145

C₂⁴

—

146

C₂×Q₈

—

147

C₂×Q₈

—

148

C₂×Q₈

—

149

C₂×Q₈

—

150

C₂×D₄

—

151

C₂×D₄

—

152

C₂×D₄

—

153

C₂×D₄

—

154

C₂²×C₄

—

155

C₂²×C₄

—

156

C₂²×C₄

C₂×D₄×C₃₁

yes

—

157

C₂²×C₄

C₂×D₄×C₃₁

yes

—

158

C₂²×C₄

C₂⁴×C₃₁

yes

characteristic

159

C₂×C₈

—

160

C₂×C₈

C₂×D₄×C₃₁

yes

—

161

C₄⋊C₄

—

162

C₄⋊C₄

—

163

C₄⋊C₄

—

164

C₄⋊C₄

—

165

C₂²⋊C₄

—

166

C₄²

—

167

C₄²

C₂×D₄×C₃₁

yes

—

168

C₄²

#41×C₃₁

yes

—

169

C₂³

—

170

C₂³

—

171

C₂³

—

172

C₂³

C₂²×D₄×C₃₁

yes

characteristic

173

Q₈

—

174

Q₈

—

175

D₄

—

176

D₄

—

177

C₂×C₄

—

178

C₂×C₄

—

179

C₂×C₄

—

180

C₂×C₄

—

181

C₂×C₄

—

182

C₂×C₄

C₃₁×#124

yes

—

183

C₂×C₄

C₃₁×#127

yes

—

184

C₂×C₄

C₃₁×#135

yes

—

185

C₂×C₄

C₂²×D₄×C₃₁

yes

—

186

C₂×C₄

C₂×#41×C₃₁

yes

—

187

C₈

—

188

C₂²

—

189

C₂²

—

190

C₂²

—

191

C₂²

C₂×C₃₁×#124

yes

—

192

C₂²

C₂×C₃₁×#127

yes

characteristic

193

C₂²

C₂×C₃₁×#135

yes

—

194

C₄

—

195

C₄

—

196

C₄

—

197

C₄

C₃₁×#495

yes

—

198

C₄

C₃₁×#532

yes

—

199

C₂

—

200

C₂

C₃₁×#2858

yes

characteristic

201

C₂

C₃₁×#3131

yes

—

202

C₂

C₂×C₃₁×#495

yes

—

	subgroup	G/H
center, socle	C₂³×C₃₁	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₁
prime radical	C₂×C₃₁×#127	C₂²
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

C₂×C₃₁×#127

C₂²

LCS

G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

UCS

C₁ ◁ C₂³×C₃₁ ◁ C₄³×C₃₁ ◁ G

N	H ≅ G/N	type
1. C₂×C₃₁×#487	C₂	semidirect
3. C₃₁×#2862	C₂	semidirect
5. C₃₁×#1958	C₂	semidirect
6. C₄²×C₈×C₃₁	C₂	semidirect
67. #33227	C₃₁	direct (N × H)
87. C₂×#487	C₂×C₃₁	semidirect
89. #2862	C₂×C₃₁	semidirect
91. #1958	C₂×C₃₁	semidirect
92. C₄²×C₈	C₂×C₃₁	semidirect
144. C₃₁	#33227	direct (N × H)

H ≅ G/N

type

1. C₂×C₃₁×#487

C₂

semidirect

3. C₃₁×#2862

C₂

semidirect

5. C₃₁×#1958

C₂

semidirect

6. C₄²×C₈×C₃₁

C₂

semidirect

67. #33227

C₃₁

direct (N × H)

87. C₂×#487

C₂×C₃₁

semidirect

89. #2862

C₂×C₃₁

semidirect

91. #1958

C₂×C₃₁

semidirect

92. C₄²×C₈

C₂×C₃₁

semidirect

144. C₃₁

#33227

direct (N × H)

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

subgroup	index
C₂×C₃₁×#487	2
C₂×C₃₁×#486	2
C₃₁×#2862	2
C₃₁×#2858	2
C₃₁×#1958	2
C₄²×C₈×C₃₁	2
#33227	31

subgroup

index

C₂×C₃₁×#487

C₂×C₃₁×#486

C₃₁×#2862

C₃₁×#2858

C₃₁×#1958

C₄²×C₈×C₃₁

#33227

Subgroups — C₃₁×#33227 #21489986

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C31×#33227 #21489986

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₁×#33227 #21489986