Group #22634510 — subgroups

Subgroups — C₃₇×#13257 #22634510

Order 9472.

566 conjugacy classes of subgroups; only the 158 normal subgroups are shown.

normal subgroups only

This group has 566 conjugacy classes of subgroups — too many to draw. Only its 158 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×C₃₇×#493	C₂	1	1	yes	maximal, characteristic
2	C₃₇×#2150	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃₇×#361	C₂	1	4	yes	maximal, complemented
4	C₄×#108×C₃₇	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×D₈×C₃₇	—	2	1	no	—
6	C₂²×D₈×C₃₇	C₂²	1	2	yes	—
7	C₂×#127×C₃₇	—	2	1	no	—
8	C₂×M₃₂×C₃₇	C₂²	1	2	yes	—
9	C₃₇×#493	—	2	2	no	—
10	C₃₇×#493	C₄	1	4	yes	—
11	C₂×#108×C₃₇	C₂²	1	2	yes	—
12	C₄×M₁₆×C₃₇	—	2	1	no	—
13	C₂×C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic
14	C₃₇×C₄⋊C₁₆	—	2	2	no	—
15	C₃₇×#361	—	2	8	no	—
16	C₃₇×#341	—	2	1	no	—
17	C₂²×D₄×C₃₇	—	2	2	no	—
18	C₂²×D₄×C₃₇	—	4	2	no	—
19	C₂×D₈×C₃₇	—	2	4	no	—
20	C₂×D₈×C₃₇	—	2	4	no	—
21	C₂×D₈×C₃₇	—	2	2	no	—
22	C₂×D₈×C₃₇	—	2	4	no	—
23	C₂×D₈×C₃₇	—	4	4	no	—
24	C₂×D₈×C₃₇	C₂×C₄	1	4	yes	—
25	C₂×M₁₆×C₃₇	—	2	2	no	—
26	C₂²×C₈×C₃₇	D₄	1	1	yes	characteristic
27	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
28	#127×C₃₇	—	2	4	no	—
29	#127×C₃₇	—	4	1	no	—
30	#127×C₃₇	—	4	1	no	—
31	C₂×C₄²×C₃₇	D₄	1	1	yes	characteristic
32	M₃₂×C₃₇	—	2	4	no	—
33	C₂×C₁₆×C₃₇	—	2	2	no	—
34	#108×C₃₇	—	2	2	no	—
35	#108×C₃₇	D₄	1	4	yes	complemented
36	#97×C₃₇	—	4	1	no	—
37	C₄×C₈×C₃₇	—	4	1	no	—
38	C₄×C₈×C₃₇	C₂×C₄	1	2	yes	—
39	C₄×C₈×C₃₇	D₄	1	2	yes	—
40	C₂⁴×C₃₇	—	4	2	no	—
41	C₂×D₄×C₃₇	—	2	4	no	—
42	C₂×D₄×C₃₇	—	4	4	no	—
43	C₂×D₄×C₃₇	—	4	4	no	—
44	C₂×D₄×C₃₇	—	4	4	no	—
45	C₂×D₄×C₃₇	—	4	2	no	—
46	C₂×D₄×C₃₇	—	4	4	no	—
47	C₂×D₄×C₃₇	—	8	8	no	—
48	C₂²×C₄×C₃₇	SD₁₆	1	2	yes	—
49	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
50	D₈×C₃₇	—	2	8	no	—
51	D₈×C₃₇	—	4	8	no	—
52	D₈×C₃₇	—	4	2	no	—
53	D₈×C₃₇	—	4	2	no	—
54	M₁₆×C₃₇	—	2	4	no	—
55	M₁₆×C₃₇	—	4	2	no	—
56	C₂×C₈×C₃₇	—	2	2	no	—
57	C₂×C₈×C₃₇	—	4	2	no	—
58	C₂×C₈×C₃₇	C₂²⋊C₄	1	2	yes	—
59	C₂×C₈×C₃₇	C₂²×C₄	1	1	yes	characteristic
60	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
61	C₂×C₈×C₃₇	C₂×D₄	1	1	yes	characteristic
62	C₂×C₈×C₃₇	#41	1	2	yes	—
63	C₄²×C₃₇	C₂²⋊C₄	1	2	yes	—
64	C₄²×C₃₇	D₈	1	1	yes	characteristic
65	C₄²×C₃₇	D₈	1	1	yes	characteristic
66	C₁₆×C₃₇	—	4	2	no	—
67	C₂³×C₃₇	—	4	4	no	—
68	C₂³×C₃₇	—	8	8	no	—
69	C₂³×C₃₇	—	8	4	no	—
70	C₂³×C₃₇	C₂×SD₁₆	1	1	yes	characteristic
71	D₄×C₃₇	—	4	4	no	—
72	D₄×C₃₇	—	4	4	no	—
73	D₄×C₃₇	—	8	8	no	—
74	D₄×C₃₇	—	8	8	no	—
75	D₄×C₃₇	—	8	4	no	—
76	C₂×C₄×C₃₇	—	2	4	no	—
77	C₂×C₄×C₃₇	#102	1	2	yes	—
78	C₂×C₄×C₃₇	#102	1	2	yes	—
79	C₂×C₄×C₃₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
80	C₂×C₄×C₃₇	#121	1	2	yes	—
81	C₂×C₄×C₃₇	C₂×D₈	1	1	yes	characteristic
82	C₂×C₄×C₃₇	AGL(1,ℤ/8)	1	2	yes	—
83	C₈×C₃₇	—	2	2	no	—
84	C₈×C₃₇	—	4	4	no	—
85	C₈×C₃₇	C₄×D₄	1	2	yes	—
86	C₈×C₃₇	#124	1	1	yes	characteristic
87	C₈×C₃₇	#127	1	1	yes	characteristic
88	#13257	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
89	C₂²×C₃₇	—	2	2	no	—
90	C₂²×C₃₇	—	8	8	no	—
91	C₂²×C₃₇	—	8	4	no	—
92	C₂²×C₃₇	—	16	8	no	—
93	C₂²×C₃₇	C₂×#102	1	1	yes	characteristic
94	C₂²×C₃₇	#460	1	2	yes	—
95	C₄×C₃₇	—	2	2	no	—
96	C₄×C₃₇	#361	1	4	yes	complemented
97	C₄×C₃₇	#390	1	1	yes	characteristic
98	C₄×C₃₇	#418	1	1	yes	characteristic
99	C₄×C₃₇	#459	1	2	yes	—
100	C₂×#493	C₂×C₃₇	1	1	yes	characteristic
101	#2150	C₂×C₃₇	1	1	yes	characteristic, complemented
102	C₂×#361	C₂×C₃₇	1	4	yes	complemented
103	C₄×#108	C₂×C₃₇	1	1	yes	characteristic, complemented
104	C₂×C₃₇	—	2	2	no	—
105	C₂×C₃₇	—	16	4	no	—
106	C₂×C₃₇	#1982	1	1	yes	characteristic
107	C₂×C₃₇	C₂×#361	1	2	yes	—
108	C₂²×D₈	—	2	1	no	—
109	C₂²×D₈	C₂²×C₃₇	1	2	yes	—
110	C₂×#127	—	2	1	no	—
111	C₂×M₃₂	C₂²×C₃₇	1	2	yes	—
112	#493	—	2	2	no	—
113	#493	C₄×C₃₇	1	4	yes	—
114	C₂×#108	C₂²×C₃₇	1	2	yes	—
115	C₄×M₁₆	—	2	1	no	—
116	C₂×C₄×C₈	C₂²×C₃₇	1	1	yes	characteristic
117	C₄⋊C₁₆	—	2	2	no	—
118	#361	—	2	8	no	—
119	#341	—	2	1	no	—
120	C₃₇	#13257	1	1	yes	characteristic, direct product factor, Sylow
121	C₂²×D₄	—	2	2	no	—
122	C₂²×D₄	—	4	2	no	—
123	C₂×D₈	—	2	4	no	—
124	C₂×D₈	—	2	4	no	—
125	C₂×D₈	—	2	2	no	—
126	C₂×D₈	—	2	4	no	—
127	C₂×D₈	—	4	4	no	—
128	C₂×D₈	C₂×C₄×C₃₇	1	4	yes	—
129	C₂×M₁₆	—	2	2	no	—
130	C₂²×C₈	D₄×C₃₇	1	1	yes	characteristic
131	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
132	#127	—	2	4	no	—
133	#127	—	4	1	no	—
134	#127	—	4	1	no	—
135	C₂×C₄²	D₄×C₃₇	1	1	yes	characteristic
136	M₃₂	—	2	4	no	—
137	C₂×C₁₆	—	2	2	no	—
138	#108	—	2	2	no	—
139	#108	D₄×C₃₇	1	4	yes	complemented
140	#97	—	4	1	no	—
141	C₄×C₈	—	4	1	no	—
142	C₄×C₈	C₂×C₄×C₃₇	1	2	yes	—
143	C₄×C₈	D₄×C₃₇	1	2	yes	—
144	C₂⁴	—	4	2	no	—
145	C₂×D₄	—	2	4	no	—
146	C₂×D₄	—	4	4	no	—
147	C₂×D₄	—	4	4	no	—
148	C₂×D₄	—	4	4	no	—
149	C₂×D₄	—	4	2	no	—
150	C₂×D₄	—	4	4	no	—
151	C₂×D₄	—	8	8	no	—
152	C₂²×C₄	SD₁₆×C₃₇	1	2	yes	—
153	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
154	D₈	—	2	8	no	—
155	D₈	—	4	8	no	—
156	D₈	—	4	2	no	—
157	D₈	—	4	2	no	—
158	M₁₆	—	2	4	no	—
159	M₁₆	—	4	2	no	—
160	C₂×C₈	—	2	2	no	—
161	C₂×C₈	—	4	2	no	—
162	C₂×C₈	C₂²⋊C₄×C₃₇	1	2	yes	—
163	C₂×C₈	C₂²×C₄×C₃₇	1	1	yes	characteristic
164	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
165	C₂×C₈	C₂×D₄×C₃₇	1	1	yes	characteristic
166	C₂×C₈	#41×C₃₇	1	2	yes	—
167	C₄²	C₂²⋊C₄×C₃₇	1	2	yes	—
168	C₄²	D₈×C₃₇	1	1	yes	characteristic
169	C₄²	D₈×C₃₇	1	1	yes	characteristic
170	C₁₆	—	4	2	no	—
171	C₂³	—	4	4	no	—
172	C₂³	—	8	8	no	—
173	C₂³	—	8	4	no	—
174	C₂³	C₂×SD₁₆×C₃₇	1	1	yes	characteristic
175	D₄	—	4	4	no	—
176	D₄	—	4	4	no	—
177	D₄	—	8	8	no	—
178	D₄	—	8	8	no	—
179	D₄	—	8	4	no	—
180	C₂×C₄	—	2	4	no	—
181	C₂×C₄	#102×C₃₇	1	2	yes	—
182	C₂×C₄	#102×C₃₇	1	2	yes	—
183	C₂×C₄	C₂×C₂²⋊C₄×C₃₇	1	1	yes	characteristic
184	C₂×C₄	#121×C₃₇	1	2	yes	—
185	C₂×C₄	C₂×D₈×C₃₇	1	1	yes	characteristic
186	C₂×C₄	AGL(1,ℤ/8)×C₃₇	1	2	yes	—
187	C₈	—	2	2	no	—
188	C₈	—	4	4	no	—
189	C₈	C₄×D₄×C₃₇	1	2	yes	—
190	C₈	#124×C₃₇	1	1	yes	characteristic
191	C₈	#127×C₃₇	1	1	yes	characteristic
192	C₂²	—	2	2	no	—
193	C₂²	—	8	8	no	—
194	C₂²	—	8	4	no	—
195	C₂²	—	16	8	no	—
196	C₂²	C₂×#102×C₃₇	1	1	yes	characteristic
197	C₂²	C₃₇×#460	1	2	yes	—
198	C₄	—	2	2	no	—
199	C₄	C₃₇×#361	1	4	yes	complemented
200	C₄	C₃₇×#390	1	1	yes	characteristic
201	C₄	C₃₇×#418	1	1	yes	characteristic
202	C₄	C₃₇×#459	1	2	yes	—
203	C₂	—	2	2	no	—
204	C₂	—	16	4	no	—
205	C₂	C₃₇×#1982	1	1	yes	characteristic
206	C₂	C₂×C₃₇×#361	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×C₃₇×#493

C₂

yes

maximal, characteristic

C₃₇×#2150

C₂

yes

maximal, characteristic, complemented

C₂×C₃₇×#361

C₂

yes

maximal, complemented

C₄×#108×C₃₇

C₂

yes

maximal, characteristic, complemented

C₂²×D₈×C₃₇

—

C₂²×D₈×C₃₇

C₂²

yes

—

C₂×#127×C₃₇

—

C₂×M₃₂×C₃₇

C₂²

yes

—

C₃₇×#493

—

C₃₇×#493

C₄

yes

—

C₂×#108×C₃₇

C₂²

yes

—

C₄×M₁₆×C₃₇

—

C₂×C₄×C₈×C₃₇

C₂²

yes

characteristic

C₃₇×C₄⋊C₁₆

—

C₃₇×#361

—

C₃₇×#341

—

C₂²×D₄×C₃₇

—

C₂²×D₄×C₃₇

—

C₂×D₈×C₃₇

—

C₂×D₈×C₃₇

—

C₂×D₈×C₃₇

—

C₂×D₈×C₃₇

—

C₂×D₈×C₃₇

—

C₂×D₈×C₃₇

C₂×C₄

yes

—

C₂×M₁₆×C₃₇

—

C₂²×C₈×C₃₇

D₄

yes

characteristic

C₂²×C₈×C₃₇

C₂³

yes

characteristic

#127×C₃₇

—

#127×C₃₇

—

#127×C₃₇

—

C₂×C₄²×C₃₇

D₄

yes

characteristic

M₃₂×C₃₇

—

C₂×C₁₆×C₃₇

—

#108×C₃₇

—

#108×C₃₇

D₄

yes

complemented

#97×C₃₇

—

C₄×C₈×C₃₇

—

C₄×C₈×C₃₇

C₂×C₄

yes

—

C₄×C₈×C₃₇

D₄

yes

—

C₂⁴×C₃₇

—

C₂×D₄×C₃₇

—

C₂×D₄×C₃₇

—

C₂×D₄×C₃₇

—

C₂×D₄×C₃₇

—

C₂×D₄×C₃₇

—

C₂×D₄×C₃₇

—

C₂×D₄×C₃₇

—

C₂²×C₄×C₃₇

SD₁₆

yes

—

C₂²×C₄×C₃₇

C₂×D₄

yes

characteristic

D₈×C₃₇

—

D₈×C₃₇

—

D₈×C₃₇

—

D₈×C₃₇

—

M₁₆×C₃₇

—

M₁₆×C₃₇

—

C₂×C₈×C₃₇

—

C₂×C₈×C₃₇

—

C₂×C₈×C₃₇

C₂²⋊C₄

yes

—

C₂×C₈×C₃₇

C₂²×C₄

yes

characteristic

C₂×C₈×C₃₇

C₂×D₄

yes

—

C₂×C₈×C₃₇

C₂×D₄

yes

characteristic

C₂×C₈×C₃₇

#41

yes

—

C₄²×C₃₇

C₂²⋊C₄

yes

—

C₄²×C₃₇

D₈

yes

characteristic

C₄²×C₃₇

D₈

yes

characteristic

C₁₆×C₃₇

—

C₂³×C₃₇

—

C₂³×C₃₇

—

C₂³×C₃₇

—

C₂³×C₃₇

C₂×SD₁₆

yes

characteristic

D₄×C₃₇

—

D₄×C₃₇

—

D₄×C₃₇

—

D₄×C₃₇

—

D₄×C₃₇

—

C₂×C₄×C₃₇

—

C₂×C₄×C₃₇

#102

yes

—

C₂×C₄×C₃₇

#102

yes

—

C₂×C₄×C₃₇

C₂×C₂²⋊C₄

yes

characteristic

C₂×C₄×C₃₇

#121

yes

—

C₂×C₄×C₃₇

C₂×D₈

yes

characteristic

C₂×C₄×C₃₇

AGL(1,ℤ/8)

yes

—

C₈×C₃₇

—

C₈×C₃₇

—

C₈×C₃₇

C₄×D₄

yes

—

C₈×C₃₇

yes

C₈×C₃₇

yes

C₃₇

yes

maximal, characteristic, direct product factor, Sylow

C₂²×C₃₇

—

C₂²×C₃₇

—

C₂²×C₃₇

—

C₂²×C₃₇

—

C₂²×C₃₇

C₂×#102

yes

characteristic

C₂²×C₃₇

#460

yes

—

C₄×C₃₇

—

C₄×C₃₇

yes

C₄×C₃₇

yes

C₄×C₃₇

yes

C₄×C₃₇

yes

—

100

C₂×#493

C₂×C₃₇

yes

characteristic

101

#2150

C₂×C₃₇

yes

characteristic, complemented

102

C₂×#361

C₂×C₃₇

yes

complemented

103

C₄×#108

C₂×C₃₇

yes

characteristic, complemented

104

C₂×C₃₇

—

105

C₂×C₃₇

—

106

C₂×C₃₇

#1982

yes

characteristic

107

C₂×C₃₇

C₂×#361

yes

—

108

C₂²×D₈

—

109

C₂²×D₈

C₂²×C₃₇

yes

—

110

C₂×#127

—

111

C₂×M₃₂

C₂²×C₃₇

yes

—

112

#493

—

113

#493

C₄×C₃₇

yes

—

114

C₂×#108

C₂²×C₃₇

yes

—

115

C₄×M₁₆

—

116

C₂×C₄×C₈

C₂²×C₃₇

yes

characteristic

117

C₄⋊C₁₆

—

118

#361

—

119

#341

—

120

C₃₇

#13257

yes

characteristic, direct product factor, Sylow

121

C₂²×D₄

—

122

C₂²×D₄

—

123

C₂×D₈

—

124

C₂×D₈

—

125

C₂×D₈

—

126

C₂×D₈

—

127

C₂×D₈

—

128

C₂×D₈

C₂×C₄×C₃₇

yes

—

129

C₂×M₁₆

—

130

C₂²×C₈

D₄×C₃₇

yes

characteristic

131

C₂²×C₈

C₂³×C₃₇

yes

characteristic

132

#127

—

133

#127

—

134

#127

—

135

C₂×C₄²

D₄×C₃₇

yes

characteristic

136

M₃₂

—

137

C₂×C₁₆

—

138

#108

—

139

#108

D₄×C₃₇

yes

complemented

140

#97

—

141

C₄×C₈

—

142

C₄×C₈

C₂×C₄×C₃₇

yes

—

143

C₄×C₈

D₄×C₃₇

yes

—

144

C₂⁴

—

145

C₂×D₄

—

146

C₂×D₄

—

147

C₂×D₄

—

148

C₂×D₄

—

149

C₂×D₄

—

150

C₂×D₄

—

151

C₂×D₄

—

152

C₂²×C₄

SD₁₆×C₃₇

yes

—

153

C₂²×C₄

C₂×D₄×C₃₇

yes

characteristic

154

D₈

—

155

D₈

—

156

D₈

—

157

D₈

—

158

M₁₆

—

159

M₁₆

—

160

C₂×C₈

—

161

C₂×C₈

—

162

C₂×C₈

C₂²⋊C₄×C₃₇

yes

—

163

C₂×C₈

C₂²×C₄×C₃₇

yes

characteristic

164

C₂×C₈

C₂×D₄×C₃₇

yes

—

165

C₂×C₈

C₂×D₄×C₃₇

yes

characteristic

166

C₂×C₈

#41×C₃₇

yes

—

167

C₄²

C₂²⋊C₄×C₃₇

yes

—

168

C₄²

D₈×C₃₇

yes

characteristic

169

C₄²

D₈×C₃₇

yes

characteristic

170

C₁₆

—

171

C₂³

—

172

C₂³

—

173

C₂³

—

174

C₂³

C₂×SD₁₆×C₃₇

yes

characteristic

175

D₄

—

176

D₄

—

177

D₄

—

178

D₄

—

179

D₄

—

180

C₂×C₄

—

181

C₂×C₄

#102×C₃₇

yes

—

182

C₂×C₄

#102×C₃₇

yes

—

183

C₂×C₄

C₂×C₂²⋊C₄×C₃₇

yes

characteristic

184

C₂×C₄

#121×C₃₇

yes

—

185

C₂×C₄

C₂×D₈×C₃₇

yes

characteristic

186

C₂×C₄

AGL(1,ℤ/8)×C₃₇

yes

—

187

C₈

—

188

C₈

—

189

C₈

C₄×D₄×C₃₇

yes

—

190

C₈

#124×C₃₇

yes

characteristic

191

C₈

#127×C₃₇

yes

characteristic

192

C₂²

—

193

C₂²

—

194

C₂²

—

195

C₂²

—

196

C₂²

C₂×#102×C₃₇

yes

characteristic

197

C₂²

C₃₇×#460

yes

—

198

C₄

—

199

C₄

C₃₇×#361

yes

complemented

200

C₄

C₃₇×#390

yes

characteristic

201

C₄

C₃₇×#418

yes

characteristic

202

C₄

C₃₇×#459

yes

—

203

C₂

—

204

C₂

—

205

C₂

C₃₇×#1982

yes

characteristic

206

C₂

C₂×C₃₇×#361

yes

—

	subgroup	G/H
center, socle	C₂²×C₃₇	C₂×#102
commutator	C₂×C₈	C₂²×C₄×C₃₇
Frattini, cosocle	C₂²×C₈	C₂³×C₃₇
prime radical	C₂×C₃₇×#493	C₂
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₇ ◁ C₂×C₄²×C₃₇ ◁ C₂×C₄×C₈×C₃₇ ◁ G

subgroup

G/H

center, socle

C₂²×C₃₇

C₂×#102

commutator

C₂×C₈

C₂²×C₄×C₃₇

Frattini, cosocle

C₂²×C₈

C₂³×C₃₇

prime radical

C₂×C₃₇×#493

C₂

LCS

G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁

UCS

C₁ ◁ C₂²×C₃₇ ◁ C₂×C₄²×C₃₇ ◁ C₂×C₄×C₈×C₃₇ ◁ G

N	H ≅ G/N	type
2. C₃₇×#2150	C₂	semidirect
3. C₂×C₃₇×#361	C₂	semidirect
4. C₄×#108×C₃₇	C₂	semidirect
35. #108×C₃₇	D₄	semidirect
88. #13257	C₃₇	direct (N × H)
96. C₄×C₃₇	#361	semidirect
101. #2150	C₂×C₃₇	semidirect
102. C₂×#361	C₂×C₃₇	semidirect
103. C₄×#108	C₂×C₃₇	semidirect
120. C₃₇	#13257	direct (N × H)
139. #108	D₄×C₃₇	semidirect
199. C₄	C₃₇×#361	semidirect

H ≅ G/N

type

2. C₃₇×#2150

C₂

semidirect

3. C₂×C₃₇×#361

C₂

semidirect

4. C₄×#108×C₃₇

C₂

semidirect

35. #108×C₃₇

D₄

semidirect

88. #13257

C₃₇

direct (N × H)

96. C₄×C₃₇

#361

semidirect

101. #2150

C₂×C₃₇

semidirect

102. C₂×#361

C₂×C₃₇

semidirect

103. C₄×#108

C₂×C₃₇

semidirect

120. C₃₇

#13257

direct (N × H)

139. #108

D₄×C₃₇

semidirect

199. C₄

C₃₇×#361

semidirect

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

subgroup	index
C₂×C₃₇×#493	2
C₃₇×#2150	2
C₂×C₃₇×#361	2
C₄×#108×C₃₇	2
#13257	37

subgroup

index

C₂×C₃₇×#493

C₃₇×#2150

C₂×C₃₇×#361

C₄×#108×C₃₇

#13257

Subgroups — C₃₇×#13257 #22634510

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C37×#13257 #22634510

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#13257 #22634510