Group #34191298 — subgroups

Subgroups — #34191298

Order 20224.

416 conjugacy classes of subgroups; only the 125 normal subgroups are shown.

normal subgroups only

This group has 416 conjugacy classes of subgroups — too many to draw. Only its 125 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	#23764348	C₂	1	2	yes	maximal
2	#23764201	C₂	1	1	yes	maximal, characteristic
3	#23761283	C₂	1	1	yes	maximal, characteristic
4	#23761241	C₂	1	2	yes	maximal
5	C₇₉×#2571	C₂	1	1	yes	maximal, characteristic
6	C₂×#14579161	C₂²	1	1	yes	characteristic
7	C₂×C₄⋊(C₇₉⋊C₈)	C₂²	1	2	yes	—
8	C₂×#14579084	—	2	2	no	—
9	C₂×C₄×C₇₉⋊C₈	C₂²	1	1	yes	characteristic
10	#19098325	—	2	2	no	—
11	#19098325	—	2	2	no	—
12	#400×C₇₉	—	2	2	no	—
13	#389×C₇₉	—	2	2	no	—
14	#384×C₇₉	C₂²	1	1	yes	characteristic
15	#382×C₇₉	—	2	2	no	—
16	C₄×C₄⋊C₄×C₇₉	C₂²	1	2	yes	—
17	C₂²×Dic₁₅₈	—	2	1	no	—
18	C₂²×C₇₉⋊C₈	—	2	1	no	—
19	C₂²×C₇₉⋊C₈	—	2	2	no	—
20	#14579161	—	2	2	no	—
21	#14579161	—	2	1	no	—
22	#14579161	Q₈	1	2	yes	—
23	C₂×C₄⋊Dic₇₉	—	2	2	no	—
24	C₄⋊(C₇₉⋊C₈)	—	2	2	no	—
25	C₄⋊(C₇₉⋊C₈)	—	2	2	no	—
26	#14579084	—	4	4	no	—
27	C₄×C₇₉⋊C₈	—	2	2	no	—
28	C₂×C₄⋊C₄×C₇₉	—	2	2	no	—
29	C₂×C₄⋊C₄×C₇₉	—	2	2	no	—
30	C₂×C₄⋊C₄×C₇₉	D₄	1	2	yes	—
31	C₂×C₄⋊C₄×C₇₉	D₄	1	2	yes	—
32	C₂×C₄⋊C₄×C₇₉	D₄	1	2	yes	—
33	C₂×C₄²×C₇₉	—	2	2	no	—
34	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
35	#95×C₇₉	—	2	2	no	—
36	#95×C₇₉	—	2	4	no	—
37	#95×C₇₉	—	2	2	no	—
38	C₂×Dic₁₅₈	—	2	2	no	—
39	C₂×Dic₁₅₈	—	4	2	no	—
40	C₂×Dic₁₅₈	—	4	2	no	—
41	C₂×Dic₁₅₈	—	4	1	no	—
42	C₂²×Dic₇₉	—	4	1	no	—
43	C₂×C₇₉⋊C₈	—	2	2	no	—
44	C₂×C₇₉⋊C₈	—	4	1	no	—
45	C₂×C₇₉⋊C₈	—	4	1	no	—
46	C₂×C₇₉⋊C₈	—	4	2	no	—
47	C₂×C₇₉⋊C₈	—	4	2	no	—
48	C₂×C₇₉⋊C₈	—	4	2	no	—
49	C₄⋊Dic₇₉	—	2	4	no	—
50	C₄⋊Dic₇₉	—	4	2	no	—
51	C₂²×C₄×C₇₉	—	2	2	no	—
52	C₂²×C₄×C₇₉	—	2	2	no	—
53	C₂²×C₄×C₇₉	—	2	2	no	—
54	C₂²×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
55	C₂²×C₄×C₇₉	C₂×D₄	1	2	yes	—
56	C₄⋊C₄×C₇₉	—	2	2	no	—
57	C₄⋊C₄×C₇₉	—	2	2	no	—
58	C₄⋊C₄×C₇₉	—	2	2	no	—
59	C₄⋊C₄×C₇₉	—	2	2	no	—
60	C₄⋊C₄×C₇₉	—	4	2	no	—
61	C₄⋊C₄×C₇₉	—	4	2	no	—
62	C₄⋊C₄×C₇₉	—	4	2	no	—
63	C₄⋊C₄×C₇₉	—	8	2	no	—
64	C₄²×C₇₉	—	4	2	no	—
65	C₄²×C₇₉	—	4	2	no	—
66	C₄²×C₇₉	C₂×Q₈	1	1	yes	characteristic
67	C₄²×C₇₉	#41	1	2	yes	—
68	C₄²×C₇₉	#41	1	1	yes	characteristic
69	C₂³×C₇₉	#120	1	1	yes	characteristic
70	C₂×C₄×C₇₉	—	2	1	no	—
71	C₂×C₄×C₇₉	—	2	1	no	—
72	C₂×C₄×C₇₉	—	4	2	no	—
73	C₂×C₄×C₇₉	—	4	2	no	—
74	C₂×C₄×C₇₉	—	4	2	no	—
75	C₂×C₄×C₇₉	—	4	2	no	—
76	C₂×C₄×C₇₉	—	4	4	no	—
77	C₂×C₄×C₇₉	—	4	2	no	—
78	C₂×C₄×C₇₉	—	4	2	no	—
79	C₂×C₄×C₇₉	—	4	2	no	—
80	C₂×C₄×C₇₉	C₂²⋊Q₈	1	1	yes	characteristic
81	C₂×C₄×C₇₉	C₂²⋊Q₈	1	2	yes	—
82	C₂×C₄×C₇₉	#124	1	1	yes	characteristic
83	C₂×C₄×C₇₉	#124	1	2	yes	—
84	C₂×C₄×C₇₉	#135	1	2	yes	—
85	C₂×C₄×C₇₉	#135	1	2	yes	—
86	C₂×C₄×C₇₉	#137	1	2	yes	—
87	C₂×C₄×C₇₉	#137	1	2	yes	—
88	C₂×Dic₇₉	—	4	2	no	—
89	C₂×Dic₇₉	—	8	1	no	—
90	C₂×Dic₇₉	—	8	1	no	—
91	Dic₁₅₈	—	4	4	no	—
92	Dic₁₅₈	—	8	2	no	—
93	C₇₉⋊C₈	—	4	2	no	—
94	C₇₉⋊C₈	—	8	2	no	—
95	C₂²×C₇₉	#393	1	1	yes	characteristic
96	C₂²×C₇₉	#452	1	2	yes	—
97	C₂²×C₇₉	#452	1	2	yes	—
98	C₂²×C₇₉	#453	1	1	yes	characteristic
99	C₂²×C₇₉	#454	1	1	yes	characteristic
100	C₄×C₇₉	—	2	1	no	—
101	C₄×C₇₉	—	2	1	no	—
102	C₄×C₇₉	—	8	2	no	—
103	C₄×C₇₉	—	8	2	no	—
104	C₄×C₇₉	—	8	2	no	—
105	C₄×C₇₉	#479	1	2	yes	—
106	C₄×C₇₉	#479	1	2	yes	—
107	C₄×C₇₉	#488	1	2	yes	—
108	C₄×C₇₉	#491	1	2	yes	—
109	Dic₇₉	—	8	2	no	—
110	#10352	—	79	1	no	maximal, Sylow
111	C₂×C₇₉	#1630	1	1	yes	characteristic
112	C₂×C₇₉	#1634	1	1	yes	characteristic
113	C₂×C₇₉	#1638	1	2	yes	—
114	C₂×C₇₉	#2026	1	2	yes	—
115	C₂×C₇₉	#2027	1	1	yes	characteristic
116	#2571	D₇₉	1	1	yes	characteristic
117	#1987	—	79	2	no	—
118	#1956	—	79	1	no	—
119	#1296	—	79	1	no	—
120	#1279	—	79	2	no	—
121	C₇₉	#10352	1	1	yes	characteristic, complemented, Sylow
122	C₂×C₄⋊Q₈	—	79	1	no	—
123	C₂×C₄⋊C₈	—	79	2	no	—
124	C₂×#103	—	158	2	no	—
125	C₂×C₄×C₈	—	79	1	no	—
126	#400	—	2	2	no	—
127	#389	—	2	2	no	—
128	#384	C₂×D₇₉	1	1	yes	characteristic
129	#382	—	2	2	no	—
130	C₄×C₄⋊C₄	C₂×D₇₉	1	2	yes	—
131	#340	—	158	2	no	—
132	#340	—	158	2	no	—
133	C₂²×Q₈	—	158	1	no	—
134	C₂²×C₈	—	158	2	no	—
135	C₂²×C₈	—	158	1	no	—
136	C₄⋊Q₈	—	79	2	no	—
137	C₄⋊Q₈	—	158	1	no	—
138	C₄⋊Q₈	—	158	2	no	—
139	C₂×C₄⋊C₄	—	2	2	no	—
140	C₂×C₄⋊C₄	—	2	2	no	—
141	C₂×C₄⋊C₄	—	158	2	no	—
142	C₂×C₄⋊C₄	C₂²⋊D₇₉	1	2	yes	—
143	C₂×C₄⋊C₄	C₂²⋊D₇₉	1	2	yes	—
144	C₂×C₄⋊C₄	C₂²⋊D₇₉	1	2	yes	—
145	C₂×C₄²	—	2	2	no	—
146	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
147	C₄⋊C₈	—	158	2	no	—
148	C₄⋊C₈	—	158	2	no	—
149	#103	—	316	4	no	—
150	C₄×C₈	—	158	2	no	—
151	#95	—	2	2	no	—
152	#95	—	2	4	no	—
153	#95	—	2	2	no	—
154	C₂×Q₈	—	316	2	no	—
155	C₂×Q₈	—	316	2	no	—
156	C₂×Q₈	—	316	1	no	—
157	C₂×Q₈	—	158	2	no	—
158	C₂²×C₄	—	2	2	no	—
159	C₂²×C₄	—	2	2	no	—
160	C₂²×C₄	—	2	2	no	—
161	C₂²×C₄	—	316	1	no	—
162	C₂²×C₄	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
163	C₂²×C₄	C₂×C₂²⋊D₇₉	1	2	yes	—
164	C₂×C₈	—	316	1	no	—
165	C₂×C₈	—	316	1	no	—
166	C₂×C₈	—	316	2	no	—
167	C₂×C₈	—	316	2	no	—
168	C₂×C₈	—	316	2	no	—
169	C₂×C₈	—	158	2	no	—
170	C₄⋊C₄	—	2	2	no	—
171	C₄⋊C₄	—	2	2	no	—
172	C₄⋊C₄	—	2	2	no	—
173	C₄⋊C₄	—	2	2	no	—
174	C₄⋊C₄	—	4	2	no	—
175	C₄⋊C₄	—	4	2	no	—
176	C₄⋊C₄	—	4	2	no	—
177	C₄⋊C₄	—	8	2	no	—
178	C₄⋊C₄	—	316	2	no	—
179	C₄⋊C₄	—	158	4	no	—
180	C₄²	—	4	2	no	—
181	C₄²	—	4	2	no	—
182	C₄²	Q₈×D₇₉	1	1	yes	characteristic
183	C₄²	#11929625	1	2	yes	—
184	C₄²	#11929625	1	1	yes	characteristic
185	C₂³	#14579130	1	1	yes	characteristic
186	Q₈	—	316	4	no	—
187	Q₈	—	632	2	no	—
188	C₂×C₄	—	2	1	no	—
189	C₂×C₄	—	2	1	no	—
190	C₂×C₄	—	4	2	no	—
191	C₂×C₄	—	4	2	no	—
192	C₂×C₄	—	4	2	no	—
193	C₂×C₄	—	4	2	no	—
194	C₂×C₄	—	4	4	no	—
195	C₂×C₄	—	4	2	no	—
196	C₂×C₄	—	4	2	no	—
197	C₂×C₄	—	4	2	no	—
198	C₂×C₄	—	316	2	no	—
199	C₂×C₄	—	632	1	no	—
200	C₂×C₄	—	632	1	no	—
201	C₂×C₄	#14579137	1	1	yes	characteristic
202	C₂×C₄	#14579137	1	2	yes	—
203	C₂×C₄	#14579150	1	1	yes	characteristic
204	C₂×C₄	#14579150	1	2	yes	—
205	C₂×C₄	#14579181	1	2	yes	—
206	C₂×C₄	#14579181	1	2	yes	—
207	C₂×C₄	#14579191	1	2	yes	—
208	C₂×C₄	#14579191	1	2	yes	—
209	C₈	—	316	2	no	—
210	C₈	—	632	2	no	—
211	C₂²	#19098474	1	1	yes	characteristic
212	C₂²	#19098725	1	2	yes	—
213	C₂²	#19098725	1	2	yes	—
214	C₂²	#19098731	1	1	yes	characteristic
215	C₂²	#19098736	1	1	yes	characteristic
216	C₄	—	2	1	no	—
217	C₄	—	2	1	no	—
218	C₄	—	8	2	no	—
219	C₄	—	8	2	no	—
220	C₄	—	8	2	no	—
221	C₄	—	632	2	no	—
222	C₄	#19098867	1	2	yes	—
223	C₄	#19098867	1	2	yes	—
224	C₄	#19098920	1	2	yes	—
225	C₄	#19098933	1	2	yes	—
226	C₂	#23762521	1	1	yes	characteristic
227	C₂	#23762545	1	1	yes	characteristic
228	C₂	#23762572	1	2	yes	—
229	C₂	#23764548	1	2	yes	—
230	C₂	#23764553	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#23764348

C₂

yes

maximal

#23764201

C₂

yes

maximal, characteristic

#23761283

C₂

yes

maximal, characteristic

#23761241

C₂

yes

maximal

C₇₉×#2571

C₂

yes

maximal, characteristic

C₂×#14579161

C₂²

yes

characteristic

C₂×C₄⋊(C₇₉⋊C₈)

C₂²

yes

—

C₂×#14579084

—

C₂×C₄×C₇₉⋊C₈

C₂²

yes

characteristic

#19098325

—

#19098325

—

#400×C₇₉

—

#389×C₇₉

—

#384×C₇₉

C₂²

yes

characteristic

#382×C₇₉

—

C₄×C₄⋊C₄×C₇₉

C₂²

yes

—

C₂²×Dic₁₅₈

—

C₂²×C₇₉⋊C₈

—

C₂²×C₇₉⋊C₈

—

#14579161

—

#14579161

—

#14579161

Q₈

yes

—

C₂×C₄⋊Dic₇₉

—

C₄⋊(C₇₉⋊C₈)

—

C₄⋊(C₇₉⋊C₈)

—

#14579084

—

C₄×C₇₉⋊C₈

—

C₂×C₄⋊C₄×C₇₉

—

C₂×C₄⋊C₄×C₇₉

—

C₂×C₄⋊C₄×C₇₉

D₄

yes

—

C₂×C₄⋊C₄×C₇₉

D₄

yes

—

C₂×C₄⋊C₄×C₇₉

D₄

yes

—

C₂×C₄²×C₇₉

—

C₂×C₄²×C₇₉

C₂³

yes

characteristic

#95×C₇₉

—

#95×C₇₉

—

#95×C₇₉

—

C₂×Dic₁₅₈

—

C₂×Dic₁₅₈

—

C₂×Dic₁₅₈

—

C₂×Dic₁₅₈

—

C₂²×Dic₇₉

—

C₂×C₇₉⋊C₈

—

C₂×C₇₉⋊C₈

—

C₂×C₇₉⋊C₈

—

C₂×C₇₉⋊C₈

—

C₂×C₇₉⋊C₈

—

C₂×C₇₉⋊C₈

—

C₄⋊Dic₇₉

—

C₄⋊Dic₇₉

—

C₂²×C₄×C₇₉

—

C₂²×C₄×C₇₉

—

C₂²×C₄×C₇₉

—

C₂²×C₄×C₇₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₇₉

C₂×D₄

yes

—

C₄⋊C₄×C₇₉

—

C₄⋊C₄×C₇₉

—

C₄⋊C₄×C₇₉

—

C₄⋊C₄×C₇₉

—

C₄⋊C₄×C₇₉

—

C₄⋊C₄×C₇₉

—

C₄⋊C₄×C₇₉

—

C₄⋊C₄×C₇₉

—

C₄²×C₇₉

—

C₄²×C₇₉

—

C₄²×C₇₉

C₂×Q₈

yes

characteristic

C₄²×C₇₉

#41

yes

—

C₄²×C₇₉

yes

C₂³×C₇₉

yes

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

C₂²⋊Q₈

yes

characteristic

C₂×C₄×C₇₉

C₂²⋊Q₈

yes

—

C₂×C₄×C₇₉

#124

yes

characteristic

C₂×C₄×C₇₉

#124

yes

—

C₂×C₄×C₇₉

#135

yes

—

C₂×C₄×C₇₉

#135

yes

—

C₂×C₄×C₇₉

#137

yes

—

C₂×C₄×C₇₉

#137

yes

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

Dic₁₅₈

—

Dic₁₅₈

—

C₇₉⋊C₈

—

C₇₉⋊C₈

—

C₂²×C₇₉

#393

yes

characteristic

C₂²×C₇₉

#452

yes

—

C₂²×C₇₉

#452

yes

—

C₂²×C₇₉

yes

C₂²×C₇₉

yes

100

C₄×C₇₉

—

101

C₄×C₇₉

—

102

C₄×C₇₉

—

103

C₄×C₇₉

—

104

C₄×C₇₉

—

105

C₄×C₇₉

#479

yes

—

106

C₄×C₇₉

#479

yes

—

107

C₄×C₇₉

#488

yes

—

108

C₄×C₇₉

#491

yes

—

109

Dic₇₉

—

110

#10352

—

maximal, Sylow

111

C₂×C₇₉

#1630

yes

characteristic

112

C₂×C₇₉

#1634

yes

characteristic

113

C₂×C₇₉

#1638

yes

—

114

C₂×C₇₉

#2026

yes

—

115

C₂×C₇₉

#2027

yes

characteristic

116

#2571

D₇₉

yes

characteristic

117

#1987

—

118

#1956

—

119

#1296

—

120

#1279

—

121

C₇₉

#10352

yes

characteristic, complemented, Sylow

122

C₂×C₄⋊Q₈

—

123

C₂×C₄⋊C₈

—

124

C₂×#103

—

158

—

125

C₂×C₄×C₈

—

126

#400

—

127

#389

—

128

#384

C₂×D₇₉

yes

characteristic

129

#382

—

130

C₄×C₄⋊C₄

C₂×D₇₉

yes

—

131

#340

—

158

—

132

#340

—

158

—

133

C₂²×Q₈

—

158

—

134

C₂²×C₈

—

158

—

135

C₂²×C₈

—

158

—

136

C₄⋊Q₈

—

137

C₄⋊Q₈

—

158

—

138

C₄⋊Q₈

—

158

—

139

C₂×C₄⋊C₄

—

140

C₂×C₄⋊C₄

—

141

C₂×C₄⋊C₄

—

158

—

142

C₂×C₄⋊C₄

C₂²⋊D₇₉

yes

—

143

C₂×C₄⋊C₄

C₂²⋊D₇₉

yes

—

144

C₂×C₄⋊C₄

C₂²⋊D₇₉

yes

—

145

C₂×C₄²

—

146

C₂×C₄²

C₂²×D₇₉

yes

characteristic

147

C₄⋊C₈

—

158

—

148

C₄⋊C₈

—

158

—

149

#103

—

316

—

150

C₄×C₈

—

158

—

151

#95

—

152

#95

—

153

#95

—

154

C₂×Q₈

—

316

—

155

C₂×Q₈

—

316

—

156

C₂×Q₈

—

316

—

157

C₂×Q₈

—

158

—

158

C₂²×C₄

—

159

C₂²×C₄

—

160

C₂²×C₄

—

161

C₂²×C₄

—

316

—

162

C₂²×C₄

C₂×C₂²⋊D₇₉

yes

characteristic

163

C₂²×C₄

C₂×C₂²⋊D₇₉

yes

—

164

C₂×C₈

—

316

—

165

C₂×C₈

—

316

—

166

C₂×C₈

—

316

—

167

C₂×C₈

—

316

—

168

C₂×C₈

—

316

—

169

C₂×C₈

—

158

—

170

C₄⋊C₄

—

171

C₄⋊C₄

—

172

C₄⋊C₄

—

173

C₄⋊C₄

—

174

C₄⋊C₄

—

175

C₄⋊C₄

—

176

C₄⋊C₄

—

177

C₄⋊C₄

—

178

C₄⋊C₄

—

316

—

179

C₄⋊C₄

—

158

—

180

C₄²

—

181

C₄²

—

182

C₄²

Q₈×D₇₉

yes

characteristic

183

C₄²

#11929625

yes

—

184

C₄²

#11929625

yes

characteristic

185

C₂³

#14579130

yes

characteristic

186

Q₈

—

316

—

187

Q₈

—

632

—

188

C₂×C₄

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

—

194

C₂×C₄

—

195

C₂×C₄

—

196

C₂×C₄

—

197

C₂×C₄

—

198

C₂×C₄

—

316

—

199

C₂×C₄

—

632

—

200

C₂×C₄

—

632

—

201

C₂×C₄

#14579137

yes

characteristic

202

C₂×C₄

#14579137

yes

—

203

C₂×C₄

#14579150

yes

characteristic

204

C₂×C₄

#14579150

yes

—

205

C₂×C₄

#14579181

yes

—

206

C₂×C₄

#14579181

yes

—

207

C₂×C₄

#14579191

yes

—

208

C₂×C₄

#14579191

yes

—

209

C₈

—

316

—

210

C₈

—

632

—

211

C₂²

#19098474

yes

characteristic

212

C₂²

#19098725

yes

—

213

C₂²

#19098725

yes

—

214

C₂²

#19098731

yes

characteristic

215

C₂²

#19098736

yes

characteristic

216

C₄

—

217

C₄

—

218

C₄

—

219

C₄

—

220

C₄

—

221

C₄

—

632

—

222

C₄

#19098867

yes

—

223

C₄

#19098867

yes

—

224

C₄

#19098920

yes

—

225

C₄

#19098933

yes

—

226

C₂

#23762521

yes

characteristic

227

C₂

#23762545

yes

characteristic

228

C₂

#23762572

yes

—

229

C₂

#23764548

yes

—

230

C₂

#23764553

yes

characteristic

	subgroup	G/H
center	C₂³	#14579130
commutator, cosocle	C₂×C₄²×C₇₉	C₂³
Frattini	C₂×C₄²	C₂²×D₇₉
Fitting	C₇₉×#2571	C₂
socle, prime radical	C₂³×C₇₉	#120
hypercenter	#2571	D₇₉
hypocenter	C₇₉	#10352
LCS	G ▷ C₂×C₄²×C₇₉ ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #2571

subgroup

G/H

center

C₂³

#14579130

commutator, cosocle

C₂×C₄²×C₇₉

C₂³

Frattini

C₂×C₄²

C₂²×D₇₉

Fitting

C₇₉×#2571

C₂

C₂³×C₇₉

D₇₉

C₇₉

G ▷ C₂×C₄²×C₇₉ ▷ C₂²×C₇₉ ▷ C₇₉

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #2571

N	H ≅ G/N	type
121. C₇₉	#10352	semidirect

H ≅ G/N

type

121. C₇₉

#10352

semidirect

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

subgroup	index
#23764348	2
#23764201	2
#23761283	2
#23761241	2
C₇₉×#2571	2
#10352	79

subgroup

index

C₇₉×#2571

Subgroups — #34191298

Conjugacy classes of subgroups

Complements

Maximal subgroups