Group #19158203 — subgroups

Subgroups — C₂₃×#10577 #19158203

Order 5888.

406 conjugacy classes of subgroups; only the 146 normal subgroups are shown.

normal subgroups only

This group has 406 conjugacy classes of subgroups — too many to draw. Only its 146 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	C₂₃×#2571	C₂	1	1	yes	maximal, characteristic
2	C₂₃×#1947	C₂	1	2	yes	maximal
3	C₂₃×#1844	C₂	1	1	yes	maximal, characteristic
4	C₂₃×#1296	C₂	1	1	yes	maximal, characteristic
5	C₂₃×#1279	C₂	1	2	yes	maximal
6	C₂×C₂₃×#107	—	2	2	no	—
7	C₂×C₂₃×#106	—	2	2	no	—
8	C₂×C₂₃×C₄⋊C₈	C₂²	1	2	yes	—
9	C₂×C₄×C₈×C₂₃	C₂²	1	1	yes	characteristic
10	C₂₃×#400	—	2	2	no	—
11	C₂₃×#389	—	2	2	no	—
12	C₂₃×#384	C₂²	1	1	yes	characteristic
13	C₂₃×#384	C₂²	1	1	yes	characteristic
14	C₂₃×#382	—	2	2	no	—
15	C₄×C₄⋊C₄×C₂₃	C₂²	1	2	yes	—
16	C₂₃×#340	—	2	2	no	—
17	C₂²×C₈×C₂₃	—	2	1	no	—
18	C₂²×C₈×C₂₃	—	2	2	no	—
19	C₂×C₄⋊C₄×C₂₃	—	2	2	no	—
20	C₂×C₄⋊C₄×C₂₃	—	2	2	no	—
21	C₂×C₄⋊C₄×C₂₃	—	2	1	no	—
22	C₂×C₄⋊C₄×C₂₃	—	2	2	no	—
23	C₂×C₄⋊C₄×C₂₃	D₄	1	2	yes	—
24	C₂×C₄⋊C₄×C₂₃	D₄	1	2	yes	—
25	C₂×C₄⋊C₄×C₂₃	D₄	1	2	yes	—
26	C₂×C₄²×C₂₃	—	2	2	no	—
27	C₂×C₄²×C₂₃	C₂³	1	1	yes	characteristic
28	C₂₃×#107	—	4	4	no	—
29	C₂₃×#106	—	4	4	no	—
30	C₂₃×C₄⋊C₈	—	2	2	no	—
31	C₂₃×C₄⋊C₈	Q₈	1	4	yes	—
32	C₄×C₈×C₂₃	—	2	1	no	—
33	C₄×C₈×C₂₃	Q₈	1	2	yes	—
34	C₂₃×#95	—	2	2	no	—
35	C₂₃×#95	—	2	4	no	—
36	C₂₃×#95	—	2	2	no	—
37	C₂²×C₄×C₂₃	—	2	2	no	—
38	C₂²×C₄×C₂₃	—	2	2	no	—
39	C₂²×C₄×C₂₃	—	2	2	no	—
40	C₂²×C₄×C₂₃	—	4	1	no	—
41	C₂²×C₄×C₂₃	C₂×D₄	1	1	yes	characteristic
42	C₂²×C₄×C₂₃	C₂×D₄	1	2	yes	—
43	C₂×C₈×C₂₃	—	2	2	no	—
44	C₂×C₈×C₂₃	—	2	2	no	—
45	C₂×C₈×C₂₃	—	2	2	no	—
46	C₂×C₈×C₂₃	—	2	4	no	—
47	C₂×C₈×C₂₃	—	4	2	no	—
48	C₂×C₈×C₂₃	—	4	2	no	—
49	C₄⋊C₄×C₂₃	—	2	2	no	—
50	C₄⋊C₄×C₂₃	—	2	2	no	—
51	C₄⋊C₄×C₂₃	—	2	2	no	—
52	C₄⋊C₄×C₂₃	—	2	2	no	—
53	C₄⋊C₄×C₂₃	—	4	2	no	—
54	C₄⋊C₄×C₂₃	—	4	2	no	—
55	C₄⋊C₄×C₂₃	—	4	2	no	—
56	C₄⋊C₄×C₂₃	—	4	2	no	—
57	C₄⋊C₄×C₂₃	—	4	2	no	—
58	C₄⋊C₄×C₂₃	—	4	2	no	—
59	C₄⋊C₄×C₂₃	—	8	2	no	—
60	C₄²×C₂₃	—	4	2	no	—
61	C₄²×C₂₃	—	4	2	no	—
62	C₄²×C₂₃	C₂×Q₈	1	2	yes	—
63	C₄²×C₂₃	C₂×Q₈	1	1	yes	characteristic
64	C₄²×C₂₃	#41	1	1	yes	characteristic
65	#10577	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
66	C₂³×C₂₃	#120	1	1	yes	characteristic
67	C₂×C₄×C₂₃	—	2	1	no	—
68	C₂×C₄×C₂₃	—	2	1	no	—
69	C₂×C₄×C₂₃	—	4	2	no	—
70	C₂×C₄×C₂₃	—	4	2	no	—
71	C₂×C₄×C₂₃	—	4	2	no	—
72	C₂×C₄×C₂₃	—	4	2	no	—
73	C₂×C₄×C₂₃	—	4	4	no	—
74	C₂×C₄×C₂₃	—	4	2	no	—
75	C₂×C₄×C₂₃	—	4	2	no	—
76	C₂×C₄×C₂₃	—	4	2	no	—
77	C₂×C₄×C₂₃	—	8	2	no	—
78	C₂×C₄×C₂₃	—	8	1	no	—
79	C₂×C₄×C₂₃	C₂²⋊Q₈	1	1	yes	characteristic
80	C₂×C₄×C₂₃	C₂²⋊Q₈	1	2	yes	—
81	C₂×C₄×C₂₃	C₄⋊Q₈	1	1	yes	characteristic
82	C₂×C₄×C₂₃	C₄⋊Q₈	1	2	yes	—
83	C₂×C₄×C₂₃	#135	1	2	yes	—
84	C₂×C₄×C₂₃	#135	1	2	yes	—
85	C₂×C₄×C₂₃	AGL(1,ℤ/8)	1	2	yes	—
86	C₂×C₄×C₂₃	#137	1	2	yes	—
87	C₈×C₂₃	—	2	4	no	—
88	C₈×C₂₃	—	4	4	no	—
89	#2571	C₂×C₂₃	1	1	yes	characteristic
90	#1947	C₂×C₂₃	1	2	yes	—
91	#1844	C₂×C₂₃	1	1	yes	characteristic
92	#1296	C₂×C₂₃	1	1	yes	characteristic
93	#1279	C₂×C₂₃	1	2	yes	—
94	C₂²×C₂₃	#395	1	1	yes	characteristic
95	C₂²×C₂₃	#449	1	2	yes	—
96	C₂²×C₂₃	#452	1	2	yes	—
97	C₂²×C₂₃	#453	1	1	yes	characteristic
98	C₂²×C₂₃	#456	1	1	yes	characteristic
99	C₄×C₂₃	—	2	1	no	—
100	C₄×C₂₃	—	2	1	no	—
101	C₄×C₂₃	—	8	2	no	—
102	C₄×C₂₃	—	8	2	no	—
103	C₄×C₂₃	—	8	2	no	—
104	C₄×C₂₃	—	16	1	no	—
105	C₄×C₂₃	#478	1	2	yes	—
106	C₄×C₂₃	#479	1	2	yes	—
107	C₄×C₂₃	#499	1	2	yes	—
108	C₄×C₂₃	#501	1	2	yes	—
109	C₂×#107	—	2	2	no	—
110	C₂×#106	—	2	2	no	—
111	C₂×C₄⋊C₈	C₂²×C₂₃	1	2	yes	—
112	C₂×C₄×C₈	C₂²×C₂₃	1	1	yes	characteristic
113	#400	—	2	2	no	—
114	#389	—	2	2	no	—
115	#384	C₂²×C₂₃	1	1	yes	characteristic
116	#384	C₂²×C₂₃	1	1	yes	characteristic
117	#382	—	2	2	no	—
118	C₄×C₄⋊C₄	C₂²×C₂₃	1	2	yes	—
119	#340	—	2	2	no	—
120	C₂×C₂₃	#1624	1	1	yes	characteristic
121	C₂×C₂₃	#1630	1	1	yes	characteristic
122	C₂×C₂₃	#1652	1	2	yes	—
123	C₂×C₂₃	#2059	1	2	yes	—
124	C₂×C₂₃	#2060	1	1	yes	characteristic
125	C₂²×C₈	—	2	1	no	—
126	C₂²×C₈	—	2	2	no	—
127	C₂×C₄⋊C₄	—	2	2	no	—
128	C₂×C₄⋊C₄	—	2	2	no	—
129	C₂×C₄⋊C₄	—	2	1	no	—
130	C₂×C₄⋊C₄	—	2	2	no	—
131	C₂×C₄⋊C₄	D₄×C₂₃	1	2	yes	—
132	C₂×C₄⋊C₄	D₄×C₂₃	1	2	yes	—
133	C₂×C₄⋊C₄	D₄×C₂₃	1	2	yes	—
134	C₂×C₄²	—	2	2	no	—
135	C₂×C₄²	C₂³×C₂₃	1	1	yes	characteristic
136	#107	—	4	4	no	—
137	#106	—	4	4	no	—
138	C₄⋊C₈	—	2	2	no	—
139	C₄⋊C₈	Q₈×C₂₃	1	4	yes	—
140	C₄×C₈	—	2	1	no	—
141	C₄×C₈	Q₈×C₂₃	1	2	yes	—
142	#95	—	2	2	no	—
143	#95	—	2	4	no	—
144	#95	—	2	2	no	—
145	C₂₃	#10577	1	1	yes	characteristic, direct product factor, Sylow
146	C₂²×C₄	—	2	2	no	—
147	C₂²×C₄	—	2	2	no	—
148	C₂²×C₄	—	2	2	no	—
149	C₂²×C₄	—	4	1	no	—
150	C₂²×C₄	C₂×D₄×C₂₃	1	1	yes	characteristic
151	C₂²×C₄	C₂×D₄×C₂₃	1	2	yes	—
152	C₂×C₈	—	2	2	no	—
153	C₂×C₈	—	2	2	no	—
154	C₂×C₈	—	2	2	no	—
155	C₂×C₈	—	2	4	no	—
156	C₂×C₈	—	4	2	no	—
157	C₂×C₈	—	4	2	no	—
158	C₄⋊C₄	—	2	2	no	—
159	C₄⋊C₄	—	2	2	no	—
160	C₄⋊C₄	—	2	2	no	—
161	C₄⋊C₄	—	2	2	no	—
162	C₄⋊C₄	—	4	2	no	—
163	C₄⋊C₄	—	4	2	no	—
164	C₄⋊C₄	—	4	2	no	—
165	C₄⋊C₄	—	4	2	no	—
166	C₄⋊C₄	—	4	2	no	—
167	C₄⋊C₄	—	4	2	no	—
168	C₄⋊C₄	—	8	2	no	—
169	C₄²	—	4	2	no	—
170	C₄²	—	4	2	no	—
171	C₄²	C₂×Q₈×C₂₃	1	1	yes	characteristic
172	C₄²	C₂×Q₈×C₂₃	1	2	yes	—
173	C₄²	#41×C₂₃	1	1	yes	characteristic
174	C₂³	C₂₃×#120	1	1	yes	characteristic
175	C₂×C₄	—	2	1	no	—
176	C₂×C₄	—	2	1	no	—
177	C₂×C₄	—	4	2	no	—
178	C₂×C₄	—	4	2	no	—
179	C₂×C₄	—	4	2	no	—
180	C₂×C₄	—	4	2	no	—
181	C₂×C₄	—	4	4	no	—
182	C₂×C₄	—	4	2	no	—
183	C₂×C₄	—	4	2	no	—
184	C₂×C₄	—	4	2	no	—
185	C₂×C₄	—	8	2	no	—
186	C₂×C₄	—	8	1	no	—
187	C₂×C₄	C₂₃×C₂²⋊Q₈	1	1	yes	characteristic
188	C₂×C₄	C₂₃×C₂²⋊Q₈	1	2	yes	—
189	C₂×C₄	C₂₃×C₄⋊Q₈	1	1	yes	characteristic
190	C₂×C₄	C₂₃×C₄⋊Q₈	1	2	yes	—
191	C₂×C₄	C₂₃×#135	1	2	yes	—
192	C₂×C₄	C₂₃×#135	1	2	yes	—
193	C₂×C₄	C₂₃×AGL(1,ℤ/8)	1	2	yes	—
194	C₂×C₄	C₂₃×#137	1	2	yes	—
195	C₈	—	2	4	no	—
196	C₈	—	4	4	no	—
197	C₂²	C₂₃×#395	1	1	yes	characteristic
198	C₂²	C₂₃×#449	1	2	yes	—
199	C₂²	C₂₃×#452	1	2	yes	—
200	C₂²	C₂₃×#453	1	1	yes	characteristic
201	C₂²	C₂₃×#456	1	1	yes	characteristic
202	C₄	—	2	1	no	—
203	C₄	—	2	1	no	—
204	C₄	—	8	2	no	—
205	C₄	—	8	2	no	—
206	C₄	—	8	2	no	—
207	C₄	—	16	1	no	—
208	C₄	C₂₃×#478	1	2	yes	—
209	C₄	C₂₃×#479	1	2	yes	—
210	C₄	C₂₃×#499	1	2	yes	—
211	C₄	C₂₃×#501	1	2	yes	—
212	C₂	C₂₃×#1624	1	1	yes	characteristic
213	C₂	C₂₃×#1630	1	1	yes	characteristic
214	C₂	C₂₃×#1652	1	2	yes	—
215	C₂	C₂₃×#2059	1	2	yes	—
216	C₂	C₂₃×#2060	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂₃×#2571

C₂

yes

maximal, characteristic

C₂₃×#1947

C₂

yes

maximal

C₂₃×#1844

C₂

yes

maximal, characteristic

C₂₃×#1296

C₂

yes

maximal, characteristic

C₂₃×#1279

C₂

yes

maximal

C₂×C₂₃×#107

—

C₂×C₂₃×#106

—

C₂×C₂₃×C₄⋊C₈

C₂²

yes

—

C₂×C₄×C₈×C₂₃

C₂²

yes

characteristic

C₂₃×#400

—

C₂₃×#389

—

C₂₃×#384

C₂²

yes

characteristic

C₂₃×#384

C₂²

yes

characteristic

C₂₃×#382

—

C₄×C₄⋊C₄×C₂₃

C₂²

yes

—

C₂₃×#340

—

C₂²×C₈×C₂₃

—

C₂²×C₈×C₂₃

—

C₂×C₄⋊C₄×C₂₃

—

C₂×C₄⋊C₄×C₂₃

—

C₂×C₄⋊C₄×C₂₃

—

C₂×C₄⋊C₄×C₂₃

—

C₂×C₄⋊C₄×C₂₃

D₄

yes

—

C₂×C₄⋊C₄×C₂₃

D₄

yes

—

C₂×C₄⋊C₄×C₂₃

D₄

yes

—

C₂×C₄²×C₂₃

—

C₂×C₄²×C₂₃

C₂³

yes

characteristic

C₂₃×#107

—

C₂₃×#106

—

C₂₃×C₄⋊C₈

—

C₂₃×C₄⋊C₈

Q₈

yes

—

C₄×C₈×C₂₃

—

C₄×C₈×C₂₃

Q₈

yes

—

C₂₃×#95

—

C₂₃×#95

—

C₂₃×#95

—

C₂²×C₄×C₂₃

—

C₂²×C₄×C₂₃

—

C₂²×C₄×C₂₃

—

C₂²×C₄×C₂₃

—

C₂²×C₄×C₂₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₂₃

C₂×D₄

yes

—

C₂×C₈×C₂₃

—

C₂×C₈×C₂₃

—

C₂×C₈×C₂₃

—

C₂×C₈×C₂₃

—

C₂×C₈×C₂₃

—

C₂×C₈×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄⋊C₄×C₂₃

—

C₄²×C₂₃

—

C₄²×C₂₃

—

C₄²×C₂₃

C₂×Q₈

yes

—

C₄²×C₂₃

C₂×Q₈

yes

C₄²×C₂₃

yes

C₂₃

yes

maximal, characteristic, direct product factor, Sylow

C₂³×C₂₃

#120

yes

characteristic

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

C₂²⋊Q₈

yes

characteristic

C₂×C₄×C₂₃

C₂²⋊Q₈

yes

—

C₂×C₄×C₂₃

C₄⋊Q₈

yes

characteristic

C₂×C₄×C₂₃

C₄⋊Q₈

yes

—

C₂×C₄×C₂₃

#135

yes

—

C₂×C₄×C₂₃

#135

yes

—

C₂×C₄×C₂₃

AGL(1,ℤ/8)

yes

—

C₂×C₄×C₂₃

#137

yes

—

C₈×C₂₃

—

C₈×C₂₃

—

#2571

C₂×C₂₃

yes

characteristic

#1947

C₂×C₂₃

yes

—

#1844

C₂×C₂₃

yes

characteristic

#1296

C₂×C₂₃

yes

characteristic

#1279

C₂×C₂₃

yes

—

C₂²×C₂₃

#395

yes

characteristic

C₂²×C₂₃

#449

yes

—

C₂²×C₂₃

#452

yes

—

C₂²×C₂₃

yes

C₂²×C₂₃

yes

C₄×C₂₃

—

100

C₄×C₂₃

—

101

C₄×C₂₃

—

102

C₄×C₂₃

—

103

C₄×C₂₃

—

104

C₄×C₂₃

—

105

C₄×C₂₃

#478

yes

—

106

C₄×C₂₃

#479

yes

—

107

C₄×C₂₃

#499

yes

—

108

C₄×C₂₃

#501

yes

—

109

C₂×#107

—

110

C₂×#106

—

111

C₂×C₄⋊C₈

C₂²×C₂₃

yes

—

112

C₂×C₄×C₈

C₂²×C₂₃

yes

characteristic

113

#400

—

114

#389

—

115

#384

C₂²×C₂₃

yes

characteristic

116

#384

C₂²×C₂₃

yes

characteristic

117

#382

—

118

C₄×C₄⋊C₄

C₂²×C₂₃

yes

—

119

#340

—

120

C₂×C₂₃

#1624

yes

characteristic

121

C₂×C₂₃

#1630

yes

characteristic

122

C₂×C₂₃

#1652

yes

—

123

C₂×C₂₃

#2059

yes

—

124

C₂×C₂₃

#2060

yes

characteristic

125

C₂²×C₈

—

126

C₂²×C₈

—

127

C₂×C₄⋊C₄

—

128

C₂×C₄⋊C₄

—

129

C₂×C₄⋊C₄

—

130

C₂×C₄⋊C₄

—

131

C₂×C₄⋊C₄

D₄×C₂₃

yes

—

132

C₂×C₄⋊C₄

D₄×C₂₃

yes

—

133

C₂×C₄⋊C₄

D₄×C₂₃

yes

—

134

C₂×C₄²

—

135

C₂×C₄²

C₂³×C₂₃

yes

characteristic

136

#107

—

137

#106

—

138

C₄⋊C₈

—

139

C₄⋊C₈

Q₈×C₂₃

yes

—

140

C₄×C₈

—

141

C₄×C₈

Q₈×C₂₃

yes

—

142

#95

—

143

#95

—

144

#95

—

145

C₂₃

#10577

yes

characteristic, direct product factor, Sylow

146

C₂²×C₄

—

147

C₂²×C₄

—

148

C₂²×C₄

—

149

C₂²×C₄

—

150

C₂²×C₄

C₂×D₄×C₂₃

yes

characteristic

151

C₂²×C₄

C₂×D₄×C₂₃

yes

—

152

C₂×C₈

—

153

C₂×C₈

—

154

C₂×C₈

—

155

C₂×C₈

—

156

C₂×C₈

—

157

C₂×C₈

—

158

C₄⋊C₄

—

159

C₄⋊C₄

—

160

C₄⋊C₄

—

161

C₄⋊C₄

—

162

C₄⋊C₄

—

163

C₄⋊C₄

—

164

C₄⋊C₄

—

165

C₄⋊C₄

—

166

C₄⋊C₄

—

167

C₄⋊C₄

—

168

C₄⋊C₄

—

169

C₄²

—

170

C₄²

—

171

C₄²

C₂×Q₈×C₂₃

yes

characteristic

172

C₄²

C₂×Q₈×C₂₃

yes

—

173

C₄²

#41×C₂₃

yes

characteristic

174

C₂³

C₂₃×#120

yes

characteristic

175

C₂×C₄

—

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

C₂₃×C₂²⋊Q₈

yes

characteristic

188

C₂×C₄

C₂₃×C₂²⋊Q₈

yes

—

189

C₂×C₄

C₂₃×C₄⋊Q₈

yes

characteristic

190

C₂×C₄

C₂₃×C₄⋊Q₈

yes

—

191

C₂×C₄

C₂₃×#135

yes

—

192

C₂×C₄

C₂₃×#135

yes

—

193

C₂×C₄

C₂₃×AGL(1,ℤ/8)

yes

—

194

C₂×C₄

C₂₃×#137

yes

—

195

C₈

—

196

C₈

—

197

C₂²

C₂₃×#395

yes

characteristic

198

C₂²

C₂₃×#449

yes

—

199

C₂²

C₂₃×#452

yes

—

200

C₂²

C₂₃×#453

yes

characteristic

201

C₂²

C₂₃×#456

yes

characteristic

202

C₄

—

203

C₄

—

204

C₄

—

205

C₄

—

206

C₄

—

207

C₄

—

208

C₄

C₂₃×#478

yes

—

209

C₄

C₂₃×#479

yes

—

210

C₄

C₂₃×#499

yes

—

211

C₄

C₂₃×#501

yes

—

212

C₂

C₂₃×#1624

yes

characteristic

213

C₂

C₂₃×#1630

yes

characteristic

214

C₂

C₂₃×#1652

yes

—

215

C₂

C₂₃×#2059

yes

—

216

C₂

C₂₃×#2060

yes

characteristic

	subgroup	G/H
center, socle, prime radical	C₂³×C₂₃	#120
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₂₃
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₂₃ ◁ C₂×C₄²×C₂₃ ◁ G

subgroup

G/H

center, socle, prime radical

C₂³×C₂₃

#120

commutator, Frattini, cosocle

C₂×C₄²

C₂³×C₂₃

LCS

G ▷ C₂×C₄² ▷ C₂² ▷ C₁

UCS

C₁ ◁ C₂³×C₂₃ ◁ C₂×C₄²×C₂₃ ◁ G

N	H ≅ G/N	type
65. #10577	C₂₃	direct (N × H)
145. C₂₃	#10577	direct (N × H)

H ≅ G/N

type

65. #10577

C₂₃

direct (N × H)

145. C₂₃

#10577

direct (N × H)

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

subgroup	index
C₂₃×#2571	2
C₂₃×#1947	2
C₂₃×#1844	2
C₂₃×#1296	2
C₂₃×#1279	2
#10577	23

subgroup

index

C₂₃×#2571

C₂₃×#1947

C₂₃×#1844

C₂₃×#1296

C₂₃×#1279

#10577

Subgroups — C₂₃×#10577 #19158203

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C23×#10577 #19158203

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂₃×#10577 #19158203