Group #19155263 — subgroups

Subgroups — C₂₃×#7637 #19155263

Order 5888.

636 conjugacy classes of subgroups; only the 138 normal subgroups are shown.

normal subgroups only

This group has 636 conjugacy classes of subgroups — too many to draw. Only its 138 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×C₂₃×#127	C₂	1	1	yes	maximal, characteristic
2	C₂₃×#1745	C₂	1	2	yes	maximal, complemented
3	C₂₃×#1270	C₂	1	4	yes	maximal, complemented
4	C₂×C₂₃×#127	C₄	1	1	yes	characteristic
5	C₂×C₄×D₄×C₂₃	—	2	2	no	—
6	C₂×C₄×D₄×C₂₃	C₄	1	2	yes	—
7	C₂×C₂₃×#97	—	2	2	no	—
8	C₂₃×#390	—	2	2	no	—
9	C₂₃×#390	C₂²	1	2	yes	—
10	C₂₃×#384	C₄	1	1	yes	characteristic
11	C₄³×C₂₃	C₂²	1	1	yes	characteristic
12	C₂₃×#336	—	2	2	no	—
13	C₂₃×#336	C₂²	1	4	yes	—
14	C₂²×D₄×C₂₃	—	2	2	no	—
15	C₂²×D₄×C₂₃	C₂×C₄	1	2	yes	—
16	C₂³×C₄×C₂₃	—	2	2	no	—
17	C₂²×C₈×C₂₃	—	2	4	no	—
18	C₂₃×#127	—	2	4	no	—
19	C₄×D₄×C₂₃	—	4	8	no	—
20	C₄×D₄×C₂₃	—	4	4	no	—
21	C₂×C₄⋊C₄×C₂₃	—	2	2	no	—
22	C₂×C₄⋊C₄×C₂₃	C₂×C₄	1	2	yes	—
23	C₂×C₂²⋊C₄×C₂₃	—	2	2	no	—
24	C₂×C₂²⋊C₄×C₂₃	—	2	4	no	—
25	C₂×C₄²×C₂₃	C₂×C₄	1	1	yes	characteristic
26	C₂×C₄²×C₂₃	C₂×C₄	1	1	yes	characteristic
27	C₂×C₄²×C₂₃	D₄	1	2	yes	—
28	C₂×C₄²×C₂₃	D₄	1	2	yes	—
29	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
30	C₂₃×#97	—	2	8	no	—
31	C₂⁴×C₂₃	—	2	2	no	—
32	C₂×D₄×C₂₃	—	2	8	no	—
33	C₂×D₄×C₂₃	—	2	2	no	—
34	C₂×D₄×C₂₃	—	4	2	no	—
35	C₂×D₄×C₂₃	—	4	2	no	—
36	C₂×D₄×C₂₃	—	4	4	no	—
37	C₂×D₄×C₂₃	—	4	4	no	—
38	C₂×D₄×C₂₃	M₁₆	1	4	yes	—
39	C₂²×C₄×C₂₃	—	2	2	no	—
40	C₂²×C₄×C₂₃	—	4	8	no	—
41	C₂²×C₄×C₂₃	—	4	4	no	—
42	C₂²×C₄×C₂₃	C₂²⋊C₄	1	1	yes	characteristic
43	C₂²×C₄×C₂₃	C₂²⋊C₄	1	1	yes	characteristic
44	C₂²×C₄×C₂₃	C₂²⋊C₄	1	2	yes	—
45	C₂²×C₄×C₂₃	C₂²×C₄	1	1	yes	characteristic
46	C₂²×C₄×C₂₃	C₂×D₄	1	2	yes	—
47	C₂×C₈×C₂₃	—	2	8	no	—
48	C₂×C₈×C₂₃	—	4	4	no	—
49	C₂×C₈×C₂₃	—	4	4	no	—
50	C₄⋊C₄×C₂₃	—	4	2	no	—
51	C₄⋊C₄×C₂₃	—	4	4	no	—
52	C₂²⋊C₄×C₂₃	—	4	4	no	—
53	C₂²⋊C₄×C₂₃	—	4	8	no	—
54	C₄²×C₂₃	—	2	2	no	—
55	C₄²×C₂₃	—	2	4	no	—
56	C₄²×C₂₃	—	2	2	no	—
57	C₄²×C₂₃	—	2	4	no	—
58	C₄²×C₂₃	—	4	1	no	—
59	#7637	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
60	C₂³×C₂₃	—	2	4	no	—
61	C₂³×C₂₃	—	4	2	no	—
62	C₂³×C₂₃	—	4	2	no	—
63	C₂³×C₂₃	—	4	4	no	—
64	C₂³×C₂₃	—	4	4	no	—
65	C₂³×C₂₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
66	D₄×C₂₃	—	4	4	no	—
67	D₄×C₂₃	—	4	4	no	—
68	D₄×C₂₃	—	4	16	no	—
69	C₂×C₄×C₂₃	—	2	2	no	—
70	C₂×C₄×C₂₃	—	2	2	no	—
71	C₂×C₄×C₂₃	—	2	1	no	—
72	C₂×C₄×C₂₃	—	2	1	no	—
73	C₂×C₄×C₂₃	—	2	2	no	—
74	C₂×C₄×C₂₃	—	2	2	no	—
75	C₂×C₄×C₂₃	—	2	2	no	—
76	C₂×C₄×C₂₃	—	2	1	no	—
77	C₂×C₄×C₂₃	—	2	2	no	—
78	C₂×C₄×C₂₃	—	4	2	no	—
79	C₂×C₄×C₂₃	—	4	4	no	—
80	C₂×C₄×C₂₃	—	8	8	no	—
81	C₂×C₄×C₂₃	#100	1	2	yes	—
82	C₂×C₄×C₂₃	#104	1	4	yes	—
83	C₂×C₄×C₂₃	C₂×M₁₆	1	2	yes	—
84	C₂×C₄×C₂₃	AGL(1,ℤ/8)	1	4	yes	—
85	C₈×C₂₃	—	4	8	no	—
86	C₄×#127	C₂×C₂₃	1	1	yes	characteristic
87	#1745	C₂×C₂₃	1	2	yes	complemented
88	#1270	C₂×C₂₃	1	4	yes	complemented
89	C₂²×C₂₃	—	4	4	no	—
90	C₂²×C₂₃	—	4	8	no	—
91	C₂²×C₂₃	—	8	2	no	—
92	C₂²×C₂₃	—	8	4	no	—
93	C₂²×C₂₃	—	8	2	no	—
94	C₂²×C₂₃	#407	1	1	yes	characteristic
95	C₂²×C₂₃	#410	1	1	yes	characteristic
96	C₂²×C₂₃	C₂×#100	1	1	yes	characteristic
97	C₂²×C₂₃	#418	1	2	yes	—
98	C₂²×C₂₃	C₂×#104	1	2	yes	—
99	C₄×C₂₃	—	2	2	no	—
100	C₄×C₂₃	—	2	2	no	—
101	C₄×C₂₃	—	2	4	no	—
102	C₄×C₂₃	—	2	4	no	—
103	C₄×C₂₃	—	4	1	no	—
104	C₄×C₂₃	—	8	2	no	—
105	C₂×#127	C₄×C₂₃	1	1	yes	characteristic
106	C₂×C₄×D₄	—	2	2	no	—
107	C₂×C₄×D₄	C₄×C₂₃	1	2	yes	—
108	C₂×#97	—	2	2	no	—
109	#390	—	2	2	no	—
110	#390	C₂²×C₂₃	1	2	yes	—
111	#384	C₄×C₂₃	1	1	yes	characteristic
112	C₄³	C₂²×C₂₃	1	1	yes	characteristic
113	#336	—	2	2	no	—
114	#336	C₂²×C₂₃	1	4	yes	—
115	C₂×C₂₃	—	8	4	no	—
116	C₂×C₂₃	#1466	1	1	yes	characteristic
117	C₂×C₂₃	#1490	1	2	yes	—
118	C₂×C₂₃	#1505	1	2	yes	—
119	C₂×C₂₃	#1525	1	1	yes	characteristic
120	C₂×C₂₃	#1555	1	1	yes	characteristic
121	C₂²×D₄	—	2	2	no	—
122	C₂²×D₄	C₂×C₄×C₂₃	1	2	yes	—
123	C₂³×C₄	—	2	2	no	—
124	C₂²×C₈	—	2	4	no	—
125	#127	—	2	4	no	—
126	C₄×D₄	—	4	8	no	—
127	C₄×D₄	—	4	4	no	—
128	C₂×C₄⋊C₄	—	2	2	no	—
129	C₂×C₄⋊C₄	C₂×C₄×C₂₃	1	2	yes	—
130	C₂×C₂²⋊C₄	—	2	2	no	—
131	C₂×C₂²⋊C₄	—	2	4	no	—
132	C₂×C₄²	C₂×C₄×C₂₃	1	1	yes	characteristic
133	C₂×C₄²	C₂×C₄×C₂₃	1	1	yes	characteristic
134	C₂×C₄²	D₄×C₂₃	1	2	yes	—
135	C₂×C₄²	D₄×C₂₃	1	2	yes	—
136	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
137	#97	—	2	8	no	—
138	C₂₃	#7637	1	1	yes	characteristic, direct product factor, Sylow
139	C₂⁴	—	2	2	no	—
140	C₂×D₄	—	2	8	no	—
141	C₂×D₄	—	2	2	no	—
142	C₂×D₄	—	4	2	no	—
143	C₂×D₄	—	4	2	no	—
144	C₂×D₄	—	4	4	no	—
145	C₂×D₄	—	4	4	no	—
146	C₂×D₄	M₁₆×C₂₃	1	4	yes	—
147	C₂²×C₄	—	2	2	no	—
148	C₂²×C₄	—	4	8	no	—
149	C₂²×C₄	—	4	4	no	—
150	C₂²×C₄	C₂²⋊C₄×C₂₃	1	1	yes	characteristic
151	C₂²×C₄	C₂²⋊C₄×C₂₃	1	1	yes	characteristic
152	C₂²×C₄	C₂²⋊C₄×C₂₃	1	2	yes	—
153	C₂²×C₄	C₂²×C₄×C₂₃	1	1	yes	characteristic
154	C₂²×C₄	C₂×D₄×C₂₃	1	2	yes	—
155	C₂×C₈	—	2	8	no	—
156	C₂×C₈	—	4	4	no	—
157	C₂×C₈	—	4	4	no	—
158	C₄⋊C₄	—	4	2	no	—
159	C₄⋊C₄	—	4	4	no	—
160	C₂²⋊C₄	—	4	4	no	—
161	C₂²⋊C₄	—	4	8	no	—
162	C₄²	—	2	2	no	—
163	C₄²	—	2	4	no	—
164	C₄²	—	2	2	no	—
165	C₄²	—	2	4	no	—
166	C₄²	—	4	1	no	—
167	C₂³	—	2	4	no	—
168	C₂³	—	4	2	no	—
169	C₂³	—	4	2	no	—
170	C₂³	—	4	4	no	—
171	C₂³	—	4	4	no	—
172	C₂³	C₂×C₂²⋊C₄×C₂₃	1	1	yes	characteristic
173	D₄	—	4	4	no	—
174	D₄	—	4	4	no	—
175	D₄	—	4	16	no	—
176	C₂×C₄	—	2	2	no	—
177	C₂×C₄	—	2	2	no	—
178	C₂×C₄	—	2	1	no	—
179	C₂×C₄	—	2	1	no	—
180	C₂×C₄	—	2	2	no	—
181	C₂×C₄	—	2	2	no	—
182	C₂×C₄	—	2	2	no	—
183	C₂×C₄	—	2	1	no	—
184	C₂×C₄	—	2	2	no	—
185	C₂×C₄	—	4	2	no	—
186	C₂×C₄	—	4	4	no	—
187	C₂×C₄	—	8	8	no	—
188	C₂×C₄	C₂₃×#100	1	2	yes	—
189	C₂×C₄	C₂₃×#104	1	4	yes	—
190	C₂×C₄	C₂×M₁₆×C₂₃	1	2	yes	—
191	C₂×C₄	C₂₃×AGL(1,ℤ/8)	1	4	yes	—
192	C₈	—	4	8	no	—
193	C₂²	—	4	4	no	—
194	C₂²	—	4	8	no	—
195	C₂²	—	8	4	no	—
196	C₂²	—	8	2	no	—
197	C₂²	—	8	2	no	—
198	C₂²	C₂₃×#407	1	1	yes	characteristic
199	C₂²	C₂₃×#410	1	1	yes	characteristic
200	C₂²	C₂×C₂₃×#100	1	1	yes	characteristic
201	C₂²	C₂₃×#418	1	2	yes	—
202	C₂²	C₂×C₂₃×#104	1	2	yes	—
203	C₄	—	2	2	no	—
204	C₄	—	2	4	no	—
205	C₄	—	2	4	no	—
206	C₄	—	2	2	no	—
207	C₄	—	4	1	no	—
208	C₄	—	8	2	no	—
209	C₂	—	8	4	no	—
210	C₂	C₂₃×#1466	1	1	yes	characteristic
211	C₂	C₂₃×#1490	1	2	yes	—
212	C₂	C₂₃×#1505	1	2	yes	—
213	C₂	C₂₃×#1525	1	1	yes	characteristic
214	C₂	C₂₃×#1555	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₄×C₂₃×#127

C₂

yes

maximal, characteristic

C₂₃×#1745

C₂

yes

maximal, complemented

C₂₃×#1270

C₂

yes

maximal, complemented

C₂×C₂₃×#127

C₄

yes

characteristic

C₂×C₄×D₄×C₂₃

—

C₂×C₄×D₄×C₂₃

C₄

yes

—

C₂×C₂₃×#97

—

C₂₃×#390

—

C₂₃×#390

C₂²

yes

—

C₂₃×#384

C₄

yes

characteristic

C₄³×C₂₃

C₂²

yes

characteristic

C₂₃×#336

—

C₂₃×#336

C₂²

yes

—

C₂²×D₄×C₂₃

—

C₂²×D₄×C₂₃

C₂×C₄

yes

—

C₂³×C₄×C₂₃

—

C₂²×C₈×C₂₃

—

C₂₃×#127

—

C₄×D₄×C₂₃

—

C₄×D₄×C₂₃

—

C₂×C₄⋊C₄×C₂₃

—

C₂×C₄⋊C₄×C₂₃

C₂×C₄

yes

—

C₂×C₂²⋊C₄×C₂₃

—

C₂×C₂²⋊C₄×C₂₃

—

C₂×C₄²×C₂₃

C₂×C₄

yes

characteristic

C₂×C₄²×C₂₃

C₂×C₄

yes

characteristic

C₂×C₄²×C₂₃

D₄

yes

—

C₂×C₄²×C₂₃

D₄

yes

—

C₂×C₄²×C₂₃

C₂³

yes

characteristic

C₂₃×#97

—

C₂⁴×C₂₃

—

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

—

C₂×D₄×C₂₃

M₁₆

yes

—

C₂²×C₄×C₂₃

—

C₂²×C₄×C₂₃

—

C₂²×C₄×C₂₃

—

C₂²×C₄×C₂₃

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₂₃

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₂₃

C₂²⋊C₄

yes

—

C₂²×C₄×C₂₃

C₂²×C₄

yes

characteristic

C₂²×C₄×C₂₃

C₂×D₄

yes

—

C₂×C₈×C₂₃

—

C₂×C₈×C₂₃

—

C₂×C₈×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

—

C₂²⋊C₄×C₂₃

—

C₂²⋊C₄×C₂₃

—

C₄²×C₂₃

—

C₄²×C₂₃

—

C₄²×C₂₃

—

C₄²×C₂₃

—

C₄²×C₂₃

—

#7637

C₂₃

yes

maximal, characteristic, direct product factor, Sylow

C₂³×C₂₃

—

C₂³×C₂₃

—

C₂³×C₂₃

—

C₂³×C₂₃

—

C₂³×C₂₃

—

C₂³×C₂₃

C₂×C₂²⋊C₄

yes

characteristic

D₄×C₂₃

—

D₄×C₂₃

—

D₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

—

C₂×C₄×C₂₃

#100

yes

—

C₂×C₄×C₂₃

#104

yes

—

C₂×C₄×C₂₃

C₂×M₁₆

yes

—

C₂×C₄×C₂₃

AGL(1,ℤ/8)

yes

—

C₈×C₂₃

—

C₄×#127

C₂×C₂₃

yes

characteristic

#1745

C₂×C₂₃

yes

complemented

#1270

C₂×C₂₃

yes

complemented

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

—

C₂²×C₂₃

yes

C₂²×C₂₃

yes

C₂²×C₂₃

yes

C₂²×C₂₃

yes

—

C₂²×C₂₃

C₂×#104

yes

—

C₄×C₂₃

—

100

C₄×C₂₃

—

101

C₄×C₂₃

—

102

C₄×C₂₃

—

103

C₄×C₂₃

—

104

C₄×C₂₃

—

105

C₂×#127

C₄×C₂₃

yes

characteristic

106

C₂×C₄×D₄

—

107

C₂×C₄×D₄

C₄×C₂₃

yes

—

108

C₂×#97

—

109

#390

—

110

#390

C₂²×C₂₃

yes

—

111

#384

C₄×C₂₃

yes

characteristic

112

C₄³

C₂²×C₂₃

yes

characteristic

113

#336

—

114

#336

C₂²×C₂₃

yes

—

115

C₂×C₂₃

—

116

C₂×C₂₃

#1466

yes

characteristic

117

C₂×C₂₃

#1490

yes

—

118

C₂×C₂₃

#1505

yes

—

119

C₂×C₂₃

#1525

yes

characteristic

120

C₂×C₂₃

#1555

yes

characteristic

121

C₂²×D₄

—

122

C₂²×D₄

C₂×C₄×C₂₃

yes

—

123

C₂³×C₄

—

124

C₂²×C₈

—

125

#127

—

126

C₄×D₄

—

127

C₄×D₄

—

128

C₂×C₄⋊C₄

—

129

C₂×C₄⋊C₄

C₂×C₄×C₂₃

yes

—

130

C₂×C₂²⋊C₄

—

131

C₂×C₂²⋊C₄

—

132

C₂×C₄²

C₂×C₄×C₂₃

yes

characteristic

133

C₂×C₄²

C₂×C₄×C₂₃

yes

characteristic

134

C₂×C₄²

D₄×C₂₃

yes

—

135

C₂×C₄²

D₄×C₂₃

yes

—

136

C₂×C₄²

C₂³×C₂₃

yes

characteristic

137

#97

—

138

C₂₃

#7637

yes

characteristic, direct product factor, Sylow

139

C₂⁴

—

140

C₂×D₄

—

141

C₂×D₄

—

142

C₂×D₄

—

143

C₂×D₄

—

144

C₂×D₄

—

145

C₂×D₄

—

146

C₂×D₄

M₁₆×C₂₃

yes

—

147

C₂²×C₄

—

148

C₂²×C₄

—

149

C₂²×C₄

—

150

C₂²×C₄

C₂²⋊C₄×C₂₃

yes

characteristic

151

C₂²×C₄

C₂²⋊C₄×C₂₃

yes

characteristic

152

C₂²×C₄

C₂²⋊C₄×C₂₃

yes

—

153

C₂²×C₄

C₂²×C₄×C₂₃

yes

characteristic

154

C₂²×C₄

C₂×D₄×C₂₃

yes

—

155

C₂×C₈

—

156

C₂×C₈

—

157

C₂×C₈

—

158

C₄⋊C₄

—

159

C₄⋊C₄

—

160

C₂²⋊C₄

—

161

C₂²⋊C₄

—

162

C₄²

—

163

C₄²

—

164

C₄²

—

165

C₄²

—

166

C₄²

—

167

C₂³

—

168

C₂³

—

169

C₂³

—

170

C₂³

—

171

C₂³

—

172

C₂³

C₂×C₂²⋊C₄×C₂₃

yes

characteristic

173

D₄

—

174

D₄

—

175

D₄

—

176

C₂×C₄

—

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

—

188

C₂×C₄

C₂₃×#100

yes

—

189

C₂×C₄

C₂₃×#104

yes

—

190

C₂×C₄

C₂×M₁₆×C₂₃

yes

—

191

C₂×C₄

C₂₃×AGL(1,ℤ/8)

yes

—

192

C₈

—

193

C₂²

—

194

C₂²

—

195

C₂²

—

196

C₂²

—

197

C₂²

—

198

C₂²

C₂₃×#407

yes

characteristic

199

C₂²

C₂₃×#410

yes

characteristic

200

C₂²

C₂×C₂₃×#100

yes

characteristic

201

C₂²

C₂₃×#418

yes

—

202

C₂²

C₂×C₂₃×#104

yes

—

203

C₄

—

204

C₄

—

205

C₄

—

206

C₄

—

207

C₄

—

208

C₄

—

209

C₂

—

210

C₂

C₂₃×#1466

yes

characteristic

211

C₂

C₂₃×#1490

yes

—

212

C₂

C₂₃×#1505

yes

—

213

C₂

C₂₃×#1525

yes

characteristic

214

C₂

C₂₃×#1555

yes

characteristic

	subgroup	G/H
center, socle	C₂³×C₂₃	C₂×C₂²⋊C₄
commutator	C₂²×C₄	C₂²×C₄×C₂₃
Frattini, cosocle	C₂×C₄²	C₂³×C₂₃
prime radical	C₂×C₂₃×#127	C₄
LCS	G ▷ C₂²×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₂₃ ◁ C₄³×C₂₃ ◁ G

subgroup

G/H

center, socle

C₂³×C₂₃

C₂×C₂²⋊C₄

commutator

C₂²×C₄

C₂²×C₄×C₂₃

Frattini, cosocle

C₂×C₄²

C₂³×C₂₃

prime radical

C₂×C₂₃×#127

C₄

LCS

G ▷ C₂²×C₄ ▷ C₂² ▷ C₁

UCS

C₁ ◁ C₂³×C₂₃ ◁ C₄³×C₂₃ ◁ G

N	H ≅ G/N	type
2. C₂₃×#1745	C₂	semidirect
3. C₂₃×#1270	C₂	semidirect
59. #7637	C₂₃	direct (N × H)
87. #1745	C₂×C₂₃	semidirect
88. #1270	C₂×C₂₃	semidirect
138. C₂₃	#7637	direct (N × H)

H ≅ G/N

type

2. C₂₃×#1745

C₂

semidirect

3. C₂₃×#1270

C₂

semidirect

59. #7637

C₂₃

direct (N × H)

87. #1745

C₂×C₂₃

semidirect

88. #1270

C₂×C₂₃

semidirect

138. C₂₃

#7637

direct (N × H)

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

subgroup	index
C₄×C₂₃×#127	2
C₂₃×#1745	2
C₂₃×#1270	2
#7637	23

subgroup

index

C₄×C₂₃×#127

C₂₃×#1745

C₂₃×#1270

#7637

Subgroups — C₂₃×#7637 #19155263

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C23×#7637 #19155263

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#7637 #19155263