Group #45693537 — subgroups

Subgroups — C₁₃₁×#7653 #45693537

Order 33536.

456 conjugacy classes of subgroups; only the 170 normal subgroups are shown.

normal subgroups only

This group has 456 conjugacy classes of subgroups — too many to draw. Only its 170 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	C₄×C₄⋊Q₈×C₁₃₁	C₂	1	1	yes	maximal, characteristic
2	#1831×C₁₃₁	C₂	1	2	yes	maximal
3	#1272×C₁₃₁	C₂	1	4	yes	maximal
4	C₂×C₄⋊Q₈×C₁₃₁	C₄	1	1	yes	characteristic
5	C₂×C₄×Q₈×C₁₃₁	C₄	1	2	yes	—
6	C₂×C₄⋊C₈×C₁₃₁	—	2	2	no	—
7	#391×C₁₃₁	C₂²	1	2	yes	—
8	#389×C₁₃₁	—	2	2	no	—
9	#384×C₁₃₁	C₄	1	1	yes	characteristic
10	C₄×C₄⋊C₄×C₁₃₁	—	2	2	no	—
11	C₄³×C₁₃₁	C₂²	1	1	yes	characteristic
12	#336×C₁₃₁	—	2	2	no	—
13	#336×C₁₃₁	C₂²	1	4	yes	—
14	C₂²×Q₈×C₁₃₁	C₂×C₄	1	2	yes	—
15	C₂²×C₈×C₁₃₁	—	2	4	no	—
16	C₄⋊Q₈×C₁₃₁	—	2	4	no	—
17	C₄×Q₈×C₁₃₁	—	4	4	no	—
18	C₂×C₄⋊C₄×C₁₃₁	—	2	2	no	—
19	C₂×C₄⋊C₄×C₁₃₁	—	2	2	no	—
20	C₂×C₄⋊C₄×C₁₃₁	—	2	2	no	—
21	C₂×C₄⋊C₄×C₁₃₁	C₂×C₄	1	2	yes	—
22	C₂×C₄²×C₁₃₁	—	2	2	no	—
23	C₂×C₄²×C₁₃₁	C₂×C₄	1	1	yes	characteristic
24	C₂×C₄²×C₁₃₁	C₂×C₄	1	1	yes	characteristic
25	C₂×C₄²×C₁₃₁	D₄	1	2	yes	—
26	C₂×C₄²×C₁₃₁	D₄	1	2	yes	—
27	C₂×C₄²×C₁₃₁	C₂³	1	1	yes	characteristic
28	C₄⋊C₈×C₁₃₁	—	4	4	no	—
29	#95×C₁₃₁	—	2	4	no	—
30	C₂×Q₈×C₁₃₁	—	2	2	no	—
31	C₂×Q₈×C₁₃₁	—	4	2	no	—
32	C₂×Q₈×C₁₃₁	—	4	2	no	—
33	C₂×Q₈×C₁₃₁	M₁₆	1	4	yes	—
34	C₂²×C₄×C₁₃₁	—	2	2	no	—
35	C₂²×C₄×C₁₃₁	—	2	2	no	—
36	C₂²×C₄×C₁₃₁	C₂²⋊C₄	1	1	yes	characteristic
37	C₂²×C₄×C₁₃₁	C₂²⋊C₄	1	2	yes	—
38	C₂²×C₄×C₁₃₁	C₂²⋊C₄	1	1	yes	characteristic
39	C₂²×C₄×C₁₃₁	C₂²×C₄	1	1	yes	characteristic
40	C₂²×C₄×C₁₃₁	C₂×D₄	1	2	yes	—
41	C₂×C₈×C₁₃₁	—	4	4	no	—
42	C₂×C₈×C₁₃₁	—	4	4	no	—
43	C₂×C₈×C₁₃₁	—	4	4	no	—
44	C₄⋊C₄×C₁₃₁	—	2	8	no	—
45	C₄⋊C₄×C₁₃₁	—	4	2	no	—
46	C₄⋊C₄×C₁₃₁	—	4	4	no	—
47	C₄⋊C₄×C₁₃₁	—	4	4	no	—
48	C₄²×C₁₃₁	—	2	2	no	—
49	C₄²×C₁₃₁	—	2	2	no	—
50	C₄²×C₁₃₁	—	4	2	no	—
51	C₄²×C₁₃₁	—	4	1	no	—
52	C₄²×C₁₃₁	—	4	4	no	—
53	C₄²×C₁₃₁	SD₁₆	1	4	yes	—
54	C₄²×C₁₃₁	Q₁₆	1	4	yes	—
55	C₂³×C₁₃₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
56	Q₈×C₁₃₁	—	4	4	no	—
57	Q₈×C₁₃₁	—	4	4	no	—
58	C₂×C₄×C₁₃₁	—	2	2	no	—
59	C₂×C₄×C₁₃₁	—	2	2	no	—
60	C₂×C₄×C₁₃₁	—	2	1	no	—
61	C₂×C₄×C₁₃₁	—	2	1	no	—
62	C₂×C₄×C₁₃₁	—	2	2	no	—
63	C₂×C₄×C₁₃₁	—	2	2	no	—
64	C₂×C₄×C₁₃₁	—	2	4	no	—
65	C₂×C₄×C₁₃₁	—	2	1	no	—
66	C₂×C₄×C₁₃₁	—	2	2	no	—
67	C₂×C₄×C₁₃₁	—	4	2	no	—
68	C₂×C₄×C₁₃₁	—	4	2	no	—
69	C₂×C₄×C₁₃₁	—	4	2	no	—
70	C₂×C₄×C₁₃₁	—	4	4	no	—
71	C₂×C₄×C₁₃₁	#100	1	2	yes	—
72	C₂×C₄×C₁₃₁	#103	1	4	yes	—
73	C₂×C₄×C₁₃₁	#103	1	4	yes	—
74	C₂×C₄×C₁₃₁	C₂×M₁₆	1	2	yes	—
75	C₂×C₄×C₁₃₁	C₂×SD₁₆	1	2	yes	—
76	C₂×C₄×C₁₃₁	C₂×Q₁₆	1	2	yes	—
77	C₈×C₁₃₁	—	8	4	no	—
78	C₂²×C₁₃₁	#407	1	1	yes	characteristic
79	C₂²×C₁₃₁	#410	1	1	yes	characteristic
80	C₂²×C₁₃₁	C₂×#100	1	1	yes	characteristic
81	C₂²×C₁₃₁	C₂×#103	1	2	yes	—
82	C₂²×C₁₃₁	#421	1	2	yes	—
83	C₄×C₁₃₁	—	2	2	no	—
84	C₄×C₁₃₁	—	2	4	no	—
85	C₄×C₁₃₁	—	2	2	no	—
86	C₄×C₁₃₁	—	2	2	no	—
87	C₄×C₁₃₁	—	4	1	no	—
88	C₄×C₁₃₁	—	4	4	no	—
89	C₄×C₁₃₁	—	8	2	no	—
90	C₄×C₁₃₁	#333	1	4	yes	—
91	C₂×C₁₃₁	#1466	1	1	yes	characteristic
92	C₂×C₁₃₁	#1487	1	2	yes	—
93	C₂×C₁₃₁	#1518	1	2	yes	—
94	C₂×C₁₃₁	#1536	1	1	yes	characteristic
95	C₂×C₁₃₁	C₂×#333	1	1	yes	characteristic
96	#7653	C₁₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
97	C₁₃₁	#7653	1	1	yes	characteristic, direct product factor, Sylow
98	C₄×C₄⋊Q₈	C₂×C₁₃₁	1	1	yes	characteristic
99	#1831	C₂×C₁₃₁	1	2	yes	—
100	#1272	C₂×C₁₃₁	1	4	yes	—
101	C₂×C₄⋊Q₈	C₄×C₁₃₁	1	1	yes	characteristic
102	C₂×C₄×Q₈	C₄×C₁₃₁	1	2	yes	—
103	C₂×C₄⋊C₈	—	2	2	no	—
104	#391	C₂²×C₁₃₁	1	2	yes	—
105	#389	—	2	2	no	—
106	#384	C₄×C₁₃₁	1	1	yes	characteristic
107	C₄×C₄⋊C₄	—	2	2	no	—
108	C₄³	C₂²×C₁₃₁	1	1	yes	characteristic
109	#336	—	2	2	no	—
110	#336	C₂²×C₁₃₁	1	4	yes	—
111	C₂²×Q₈	C₂×C₄×C₁₃₁	1	2	yes	—
112	C₂²×C₈	—	2	4	no	—
113	C₄⋊Q₈	—	2	4	no	—
114	C₄×Q₈	—	4	4	no	—
115	C₂×C₄⋊C₄	—	2	2	no	—
116	C₂×C₄⋊C₄	—	2	2	no	—
117	C₂×C₄⋊C₄	—	2	2	no	—
118	C₂×C₄⋊C₄	C₂×C₄×C₁₃₁	1	2	yes	—
119	C₂×C₄²	—	2	2	no	—
120	C₂×C₄²	C₂×C₄×C₁₃₁	1	1	yes	characteristic
121	C₂×C₄²	C₂×C₄×C₁₃₁	1	1	yes	characteristic
122	C₂×C₄²	D₄×C₁₃₁	1	2	yes	—
123	C₂×C₄²	D₄×C₁₃₁	1	2	yes	—
124	C₂×C₄²	C₂³×C₁₃₁	1	1	yes	characteristic
125	C₄⋊C₈	—	4	4	no	—
126	#95	—	2	4	no	—
127	C₂×Q₈	—	2	2	no	—
128	C₂×Q₈	—	4	2	no	—
129	C₂×Q₈	—	4	2	no	—
130	C₂×Q₈	M₁₆×C₁₃₁	1	4	yes	—
131	C₂²×C₄	—	2	2	no	—
132	C₂²×C₄	—	2	2	no	—
133	C₂²×C₄	C₂²⋊C₄×C₁₃₁	1	1	yes	characteristic
134	C₂²×C₄	C₂²⋊C₄×C₁₃₁	1	2	yes	—
135	C₂²×C₄	C₂²⋊C₄×C₁₃₁	1	1	yes	characteristic
136	C₂²×C₄	C₂²×C₄×C₁₃₁	1	1	yes	characteristic
137	C₂²×C₄	C₂×D₄×C₁₃₁	1	2	yes	—
138	C₂×C₈	—	4	4	no	—
139	C₂×C₈	—	4	4	no	—
140	C₂×C₈	—	4	4	no	—
141	C₄⋊C₄	—	2	8	no	—
142	C₄⋊C₄	—	4	2	no	—
143	C₄⋊C₄	—	4	4	no	—
144	C₄⋊C₄	—	4	4	no	—
145	C₄²	—	2	2	no	—
146	C₄²	—	2	2	no	—
147	C₄²	—	4	2	no	—
148	C₄²	—	4	1	no	—
149	C₄²	—	4	4	no	—
150	C₄²	SD₁₆×C₁₃₁	1	4	yes	—
151	C₄²	Q₁₆×C₁₃₁	1	4	yes	—
152	C₂³	C₂×C₂²⋊C₄×C₁₃₁	1	1	yes	characteristic
153	Q₈	—	4	4	no	—
154	Q₈	—	4	4	no	—
155	C₂×C₄	—	2	2	no	—
156	C₂×C₄	—	2	2	no	—
157	C₂×C₄	—	2	1	no	—
158	C₂×C₄	—	2	1	no	—
159	C₂×C₄	—	2	2	no	—
160	C₂×C₄	—	2	2	no	—
161	C₂×C₄	—	2	4	no	—
162	C₂×C₄	—	2	1	no	—
163	C₂×C₄	—	2	2	no	—
164	C₂×C₄	—	4	2	no	—
165	C₂×C₄	—	4	2	no	—
166	C₂×C₄	—	4	2	no	—
167	C₂×C₄	—	4	4	no	—
168	C₂×C₄	#100×C₁₃₁	1	2	yes	—
169	C₂×C₄	#103×C₁₃₁	1	4	yes	—
170	C₂×C₄	#103×C₁₃₁	1	4	yes	—
171	C₂×C₄	C₂×M₁₆×C₁₃₁	1	2	yes	—
172	C₂×C₄	C₂×SD₁₆×C₁₃₁	1	2	yes	—
173	C₂×C₄	C₂×Q₁₆×C₁₃₁	1	2	yes	—
174	C₈	—	8	4	no	—
175	C₂²	#407×C₁₃₁	1	1	yes	characteristic
176	C₂²	#410×C₁₃₁	1	1	yes	characteristic
177	C₂²	C₂×#100×C₁₃₁	1	1	yes	characteristic
178	C₂²	C₂×#103×C₁₃₁	1	2	yes	—
179	C₂²	#421×C₁₃₁	1	2	yes	—
180	C₄	—	2	2	no	—
181	C₄	—	2	4	no	—
182	C₄	—	2	2	no	—
183	C₄	—	2	2	no	—
184	C₄	—	4	4	no	—
185	C₄	—	4	1	no	—
186	C₄	—	8	2	no	—
187	C₄	#333×C₁₃₁	1	4	yes	—
188	C₂	#1466×C₁₃₁	1	1	yes	characteristic
189	C₂	#1487×C₁₃₁	1	2	yes	—
190	C₂	#1518×C₁₃₁	1	2	yes	—
191	C₂	#1536×C₁₃₁	1	1	yes	characteristic
192	C₂	C₂×#333×C₁₃₁	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₄×C₄⋊Q₈×C₁₃₁

C₂

yes

maximal, characteristic

#1831×C₁₃₁

C₂

yes

maximal

#1272×C₁₃₁

C₂

yes

maximal

C₂×C₄⋊Q₈×C₁₃₁

C₄

yes

characteristic

C₂×C₄×Q₈×C₁₃₁

C₄

yes

—

C₂×C₄⋊C₈×C₁₃₁

—

#391×C₁₃₁

C₂²

yes

—

#389×C₁₃₁

—

#384×C₁₃₁

C₄

yes

characteristic

C₄×C₄⋊C₄×C₁₃₁

—

C₄³×C₁₃₁

C₂²

yes

characteristic

#336×C₁₃₁

—

#336×C₁₃₁

C₂²

yes

—

C₂²×Q₈×C₁₃₁

C₂×C₄

yes

—

C₂²×C₈×C₁₃₁

—

C₄⋊Q₈×C₁₃₁

—

C₄×Q₈×C₁₃₁

—

C₂×C₄⋊C₄×C₁₃₁

—

C₂×C₄⋊C₄×C₁₃₁

—

C₂×C₄⋊C₄×C₁₃₁

—

C₂×C₄⋊C₄×C₁₃₁

C₂×C₄

yes

—

C₂×C₄²×C₁₃₁

—

C₂×C₄²×C₁₃₁

C₂×C₄

yes

characteristic

C₂×C₄²×C₁₃₁

C₂×C₄

yes

characteristic

C₂×C₄²×C₁₃₁

D₄

yes

—

C₂×C₄²×C₁₃₁

D₄

yes

—

C₂×C₄²×C₁₃₁

C₂³

yes

characteristic

C₄⋊C₈×C₁₃₁

—

#95×C₁₃₁

—

C₂×Q₈×C₁₃₁

—

C₂×Q₈×C₁₃₁

—

C₂×Q₈×C₁₃₁

—

C₂×Q₈×C₁₃₁

M₁₆

yes

—

C₂²×C₄×C₁₃₁

—

C₂²×C₄×C₁₃₁

—

C₂²×C₄×C₁₃₁

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₁₃₁

C₂²⋊C₄

yes

—

C₂²×C₄×C₁₃₁

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₁₃₁

C₂²×C₄

yes

characteristic

C₂²×C₄×C₁₃₁

C₂×D₄

yes

—

C₂×C₈×C₁₃₁

—

C₂×C₈×C₁₃₁

—

C₂×C₈×C₁₃₁

—

C₄⋊C₄×C₁₃₁

—

C₄⋊C₄×C₁₃₁

—

C₄⋊C₄×C₁₃₁

—

C₄⋊C₄×C₁₃₁

—

C₄²×C₁₃₁

—

C₄²×C₁₃₁

—

C₄²×C₁₃₁

—

C₄²×C₁₃₁

—

C₄²×C₁₃₁

—

C₄²×C₁₃₁

SD₁₆

yes

—

C₄²×C₁₃₁

Q₁₆

yes

—

C₂³×C₁₃₁

C₂×C₂²⋊C₄

yes

characteristic

Q₈×C₁₃₁

—

Q₈×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

—

C₂×C₄×C₁₃₁

#100

yes

—

C₂×C₄×C₁₃₁

#103

yes

—

C₂×C₄×C₁₃₁

#103

yes

—

C₂×C₄×C₁₃₁

C₂×M₁₆

yes

—

C₂×C₄×C₁₃₁

C₂×SD₁₆

yes

—

C₂×C₄×C₁₃₁

C₂×Q₁₆

yes

—

C₈×C₁₃₁

—

C₂²×C₁₃₁

yes

C₂²×C₁₃₁

yes

C₂²×C₁₃₁

yes

C₂²×C₁₃₁

yes

—

C₂²×C₁₃₁

#421

yes

—

C₄×C₁₃₁

—

C₄×C₁₃₁

—

C₄×C₁₃₁

—

C₄×C₁₃₁

—

C₄×C₁₃₁

—

C₄×C₁₃₁

—

C₄×C₁₃₁

—

C₄×C₁₃₁

#333

yes

—

C₂×C₁₃₁

#1466

yes

characteristic

C₂×C₁₃₁

#1487

yes

—

C₂×C₁₃₁

#1518

yes

—

C₂×C₁₃₁

yes

C₂×C₁₃₁

yes

C₁₃₁

yes

maximal, characteristic, direct product factor, Sylow

C₁₃₁

#7653

yes

characteristic, direct product factor, Sylow

C₄×C₄⋊Q₈

C₂×C₁₃₁

yes

characteristic

#1831

C₂×C₁₃₁

yes

—

100

#1272

C₂×C₁₃₁

yes

—

101

C₂×C₄⋊Q₈

C₄×C₁₃₁

yes

characteristic

102

C₂×C₄×Q₈

C₄×C₁₃₁

yes

—

103

C₂×C₄⋊C₈

—

104

#391

C₂²×C₁₃₁

yes

—

105

#389

—

106

#384

C₄×C₁₃₁

yes

characteristic

107

C₄×C₄⋊C₄

—

108

C₄³

C₂²×C₁₃₁

yes

characteristic

109

#336

—

110

#336

C₂²×C₁₃₁

yes

—

111

C₂²×Q₈

C₂×C₄×C₁₃₁

yes

—

112

C₂²×C₈

—

113

C₄⋊Q₈

—

114

C₄×Q₈

—

115

C₂×C₄⋊C₄

—

116

C₂×C₄⋊C₄

—

117

C₂×C₄⋊C₄

—

118

C₂×C₄⋊C₄

C₂×C₄×C₁₃₁

yes

—

119

C₂×C₄²

—

120

C₂×C₄²

C₂×C₄×C₁₃₁

yes

characteristic

121

C₂×C₄²

C₂×C₄×C₁₃₁

yes

characteristic

122

C₂×C₄²

D₄×C₁₃₁

yes

—

123

C₂×C₄²

D₄×C₁₃₁

yes

—

124

C₂×C₄²

C₂³×C₁₃₁

yes

characteristic

125

C₄⋊C₈

—

126

#95

—

127

C₂×Q₈

—

128

C₂×Q₈

—

129

C₂×Q₈

—

130

C₂×Q₈

M₁₆×C₁₃₁

yes

—

131

C₂²×C₄

—

132

C₂²×C₄

—

133

C₂²×C₄

C₂²⋊C₄×C₁₃₁

yes

characteristic

134

C₂²×C₄

C₂²⋊C₄×C₁₃₁

yes

—

135

C₂²×C₄

C₂²⋊C₄×C₁₃₁

yes

characteristic

136

C₂²×C₄

C₂²×C₄×C₁₃₁

yes

characteristic

137

C₂²×C₄

C₂×D₄×C₁₃₁

yes

—

138

C₂×C₈

—

139

C₂×C₈

—

140

C₂×C₈

—

141

C₄⋊C₄

—

142

C₄⋊C₄

—

143

C₄⋊C₄

—

144

C₄⋊C₄

—

145

C₄²

—

146

C₄²

—

147

C₄²

—

148

C₄²

—

149

C₄²

—

150

C₄²

SD₁₆×C₁₃₁

yes

—

151

C₄²

Q₁₆×C₁₃₁

yes

—

152

C₂³

C₂×C₂²⋊C₄×C₁₃₁

yes

characteristic

153

Q₈

—

154

Q₈

—

155

C₂×C₄

—

156

C₂×C₄

—

157

C₂×C₄

—

158

C₂×C₄

—

159

C₂×C₄

—

160

C₂×C₄

—

161

C₂×C₄

—

162

C₂×C₄

—

163

C₂×C₄

—

164

C₂×C₄

—

165

C₂×C₄

—

166

C₂×C₄

—

167

C₂×C₄

—

168

C₂×C₄

#100×C₁₃₁

yes

—

169

C₂×C₄

#103×C₁₃₁

yes

—

170

C₂×C₄

#103×C₁₃₁

yes

—

171

C₂×C₄

C₂×M₁₆×C₁₃₁

yes

—

172

C₂×C₄

C₂×SD₁₆×C₁₃₁

yes

—

173

C₂×C₄

C₂×Q₁₆×C₁₃₁

yes

—

174

C₈

—

175

C₂²

#407×C₁₃₁

yes

characteristic

176

C₂²

#410×C₁₃₁

yes

characteristic

177

C₂²

C₂×#100×C₁₃₁

yes

characteristic

178

C₂²

C₂×#103×C₁₃₁

yes

—

179

C₂²

#421×C₁₃₁

yes

—

180

C₄

—

181

C₄

—

182

C₄

—

183

C₄

—

184

C₄

—

185

C₄

—

186

C₄

—

187

C₄

#333×C₁₃₁

yes

—

188

C₂

#1466×C₁₃₁

yes

characteristic

189

C₂

#1487×C₁₃₁

yes

—

190

C₂

#1518×C₁₃₁

yes

—

191

C₂

#1536×C₁₃₁

yes

characteristic

192

C₂

C₂×#333×C₁₃₁

yes

characteristic

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₃₁	C₂×C₂²⋊C₄
commutator	C₂²×C₄	C₂²×C₄×C₁₃₁
Frattini, cosocle	C₂×C₄²	C₂³×C₁₃₁
LCS	G ▷ C₂²×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₁ ◁ C₄³×C₁₃₁ ◁ G

subgroup

G/H

center, socle, prime radical

C₂³×C₁₃₁

C₂×C₂²⋊C₄

commutator

C₂²×C₄

C₂²×C₄×C₁₃₁

Frattini, cosocle

C₂×C₄²

C₂³×C₁₃₁

LCS

G ▷ C₂²×C₄ ▷ C₂² ▷ C₁

UCS

C₁ ◁ C₂³×C₁₃₁ ◁ C₄³×C₁₃₁ ◁ G

N	H ≅ G/N	type
96. #7653	C₁₃₁	direct (N × H)
97. C₁₃₁	#7653	direct (N × H)

H ≅ G/N

type

96. #7653

C₁₃₁

direct (N × H)

97. C₁₃₁

#7653

direct (N × H)

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

subgroup	index
C₄×C₄⋊Q₈×C₁₃₁	2
#1831×C₁₃₁	2
#1272×C₁₃₁	2
#7653	131

subgroup

index

C₄×C₄⋊Q₈×C₁₃₁

#1831×C₁₃₁

#1272×C₁₃₁

#7653

131

Subgroups — C₁₃₁×#7653 #45693537

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C131×#7653 #45693537

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₁×#7653 #45693537