Group #32990979 — subgroups

Subgroups — #32990979

Order 18688.

304 conjugacy classes of subgroups; only the 89 normal subgroups are shown.

normal subgroups only

This group has 304 conjugacy classes of subgroups — too many to draw. Only its 89 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	#22610870	C₂	1	1	yes	maximal, characteristic
2	#22610071	C₂	1	1	yes	maximal, characteristic
3	#22608701	C₂	1	1	yes	maximal, characteristic
4	#22608361	C₂	1	1	yes	maximal, characteristic
5	#22608359	C₂	1	1	yes	maximal, characteristic
6	#22607761	C₂	1	1	yes	maximal, characteristic
7	C₇₃×#1571	C₂	1	1	yes	maximal, characteristic
8	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic
9	#17988640	C₂²	1	1	yes	characteristic
10	#17988611	C₂²	1	1	yes	characteristic
11	C₂×#14556502	C₂²	1	1	yes	characteristic
12	#17988351	—	2	2	no	—
13	#17988341	—	2	2	no	—
14	#17988337	—	2	2	no	—
15	#17988319	—	2	2	no	—
16	#17988317	—	2	2	no	—
17	#431×C₇₃	C₂²	1	1	yes	characteristic
18	#423×C₇₃	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊C₈×C₇₃	C₂²	1	1	yes	characteristic
20	#335×C₇₃	—	2	2	no	—
21	C₂²×Dic₁₄₆	Q₈	1	1	yes	characteristic
22	C₂×#11924012	—	2	1	no	—
23	C₂²×#10596831	D₄	1	2	yes	—
24	C₄×Dic₁₄₆	—	2	1	no	—
25	C₄×Dic₁₄₆	—	2	1	no	—
26	C₄×Dic₁₄₆	—	2	1	no	—
27	C₄×Dic₁₄₆	—	2	1	no	—
28	C₂×C₄⋊Dic₇₃	Q₈	1	1	yes	characteristic
29	C₂×#11924007	—	2	1	no	—
30	C₂×C₄×Dic₇₃	—	2	1	no	—
31	C₄⋊#10596831	—	2	1	no	—
32	C₄⋊#10596831	—	2	1	no	—
33	C₄⋊#10596831	—	2	1	no	—
34	C₂²⋊#10596831	—	2	1	no	—
35	#14556502	—	2	1	no	—
36	#14556502	—	2	1	no	—
37	C₄×#10596831	D₄	1	2	yes	—
38	C₂×M₁₆×C₇₃	—	2	1	no	—
39	C₂²×C₈×C₇₃	—	2	1	no	—
40	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
41	C₄⋊C₈×C₇₃	—	2	1	no	—
42	C₄⋊C₈×C₇₃	—	2	1	no	—
43	C₄⋊C₈×C₇₃	—	2	1	no	—
44	C₄⋊C₈×C₇₃	—	2	1	no	—
45	C₄⋊C₈×C₇₃	—	2	1	no	—
46	C₂²⋊C₈×C₇₃	—	2	1	no	—
47	C₄×C₈×C₇₃	D₄	1	2	yes	—
48	C₂×Dic₁₄₆	—	2	1	no	—
49	C₂×Dic₁₄₆	—	2	1	no	—
50	C₂×Dic₁₄₆	—	4	2	no	—
51	C₂²×Dic₇₃	—	2	1	no	—
52	C₂²×Dic₇₃	—	2	1	no	—
53	#11924012	—	4	2	no	—
54	C₂×#10596831	—	2	2	no	—
55	C₂×#10596831	—	2	2	no	—
56	C₂×#10596831	—	2	2	no	—
57	C₂×#10596831	—	2	2	no	—
58	C₂×#10596831	—	4	1	no	—
59	C₄⋊Dic₇₃	—	2	1	no	—
60	C₄⋊Dic₇₃	—	2	1	no	—
61	#11924007	—	4	1	no	—
62	#11924007	—	4	1	no	—
63	C₄×Dic₇₃	—	4	1	no	—
64	C₄×Dic₇₃	—	4	1	no	—
65	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
66	C₂²×C₄×C₇₃	C₂×Q₈	1	1	yes	characteristic
67	C₂²×C₄×C₇₃	#41	1	1	yes	characteristic
68	M₁₆×C₇₃	—	4	2	no	—
69	C₂×C₈×C₇₃	—	2	2	no	—
70	C₂×C₈×C₇₃	—	4	1	no	—
71	C₂×C₈×C₇₃	—	4	1	no	—
72	C₂×C₈×C₇₃	—	4	2	no	—
73	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
74	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
75	C₄²×C₇₃	#41	1	1	yes	characteristic
76	C₄²×C₇₃	#41	1	1	yes	characteristic
77	C₂³×C₇₃	C₂²⋊Q₈	1	1	yes	characteristic
78	C₂×C₄×C₇₃	—	4	1	no	—
79	C₂×C₄×C₇₃	—	4	1	no	—
80	C₂×C₄×C₇₃	C₂²⋊Q₈	1	1	yes	characteristic
81	C₂×C₄×C₇₃	C₂²⋊Q₈	1	1	yes	characteristic
82	C₂×C₄×C₇₃	#123	1	1	yes	characteristic
83	C₂×C₄×C₇₃	#123	1	1	yes	characteristic
84	C₂×C₄×C₇₃	#123	1	1	yes	characteristic
85	C₂×C₄×C₇₃	#127	1	1	yes	characteristic
86	C₂×C₄×C₇₃	#135	1	2	yes	—
87	C₂×C₄×C₇₃	#137	1	2	yes	—
88	C₂×Dic₇₃	—	2	2	no	—
89	C₂×Dic₇₃	—	4	1	no	—
90	C₂×Dic₇₃	—	4	1	no	—
91	C₂×Dic₇₃	—	4	2	no	—
92	C₂×Dic₇₃	—	4	1	no	—
93	Dic₁₄₆	—	2	2	no	—
94	Dic₁₄₆	—	2	2	no	—
95	Dic₁₄₆	—	4	1	no	—
96	Dic₁₄₆	—	4	1	no	—
97	C₈×C₇₃	—	4	2	no	—
98	C₈×C₇₃	—	8	1	no	—
99	C₈×C₇₃	—	8	1	no	—
100	#10596831	—	4	2	no	—
101	#10596831	—	4	2	no	—
102	#10596831	—	8	1	no	—
103	C₂²×C₇₃	—	2	1	no	—
104	C₂²×C₇₃	—	2	1	no	—
105	C₂²×C₇₃	#399	1	1	yes	characteristic
106	C₂²×C₇₃	#479	1	2	yes	—
107	C₄×C₇₃	—	2	1	no	—
108	C₄×C₇₃	—	2	1	no	—
109	C₄×C₇₃	—	2	1	no	—
110	C₄×C₇₃	—	2	1	no	—
111	C₄×C₇₃	#485	1	2	yes	—
112	C₄×C₇₃	#495	1	1	yes	characteristic
113	C₄×C₇₃	#497	1	1	yes	characteristic
114	Dic₇₃	—	4	2	no	—
115	Dic₇₃	—	8	1	no	—
116	#10664	—	73	1	no	maximal, Sylow
117	C₂×C₇₃	—	2	2	no	—
118	C₂×C₇₃	#2091	1	1	yes	characteristic
119	C₂×C₇₃	#2097	1	1	yes	characteristic
120	C₂×C₇₃	#2098	1	1	yes	characteristic
121	#1985	—	73	1	no	—
122	#1838	—	73	1	no	—
123	#1571	D₇₃	1	1	yes	characteristic
124	#1570	—	73	1	no	—
125	#1487	—	73	1	no	—
126	#1487	—	73	1	no	—
127	#1275	—	73	1	no	—
128	C₇₃	#10664	1	1	yes	characteristic, complemented, Sylow
129	C₂×C₄×Q₈	—	73	1	no	—
130	#431	—	73	1	no	—
131	#431	C₂×D₇₃	1	1	yes	characteristic
132	#423	—	73	1	no	—
133	#423	C₂×D₇₃	1	1	yes	characteristic
134	C₂×C₄⋊C₈	C₂×D₇₃	1	1	yes	characteristic
135	C₂×#97	—	73	1	no	—
136	#341	—	146	2	no	—
137	#336	—	146	2	no	—
138	#335	—	2	2	no	—
139	#334	—	146	2	no	—
140	Q₈⋊C₈	—	146	2	no	—
141	Q₈⋊C₈	—	146	2	no	—
142	C₂²×Q₈	—	73	1	no	—
143	C₂×M₁₆	—	2	1	no	—
144	C₂×M₁₆	—	146	1	no	—
145	C₂²×C₈	—	2	1	no	—
146	C₂²×C₈	—	73	2	no	—
147	C₄×Q₈	—	146	1	no	—
148	C₄×Q₈	—	146	1	no	—
149	C₄×Q₈	—	146	1	no	—
150	C₄×Q₈	—	146	1	no	—
151	C₂×C₄⋊C₄	—	73	1	no	—
152	C₂×C₄⋊C₄	—	146	1	no	—
153	C₂×C₄²	—	146	1	no	—
154	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
155	C₄⋊C₈	—	2	1	no	—
156	C₄⋊C₈	—	2	1	no	—
157	C₄⋊C₈	—	2	1	no	—
158	C₄⋊C₈	—	2	1	no	—
159	C₄⋊C₈	—	2	1	no	—
160	C₄⋊C₈	—	146	1	no	—
161	C₄⋊C₈	—	146	1	no	—
162	C₄⋊C₈	—	146	1	no	—
163	C₂²⋊C₈	—	2	1	no	—
164	C₂²⋊C₈	—	146	1	no	—
165	#97	—	146	1	no	—
166	#97	—	146	1	no	—
167	C₄×C₈	—	73	2	no	—
168	C₄×C₈	C₂²⋊D₇₃	1	2	yes	—
169	C₂×Q₈	—	292	2	no	—
170	C₂×Q₈	—	146	1	no	—
171	C₂×Q₈	—	146	1	no	—
172	C₂²×C₄	—	146	1	no	—
173	C₂²×C₄	—	146	1	no	—
174	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
175	C₂²×C₄	Q₈×D₇₃	1	1	yes	characteristic
176	C₂²×C₄	#11924028	1	1	yes	characteristic
177	M₁₆	—	4	2	no	—
178	M₁₆	—	292	2	no	—
179	C₂×C₈	—	2	2	no	—
180	C₂×C₈	—	4	1	no	—
181	C₂×C₈	—	4	1	no	—
182	C₂×C₈	—	4	2	no	—
183	C₂×C₈	—	292	1	no	—
184	C₂×C₈	—	146	2	no	—
185	C₂×C₈	—	146	2	no	—
186	C₂×C₈	—	146	2	no	—
187	C₂×C₈	—	146	2	no	—
188	C₄⋊C₄	—	292	1	no	—
189	C₄⋊C₄	—	292	1	no	—
190	C₄⋊C₄	—	146	1	no	—
191	C₄⋊C₄	—	146	1	no	—
192	C₄²	—	292	1	no	—
193	C₄²	—	292	1	no	—
194	C₄²	D₄×D₇₃	1	1	yes	characteristic
195	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
196	C₄²	#11924028	1	1	yes	characteristic
197	C₄²	#11924029	1	1	yes	characteristic
198	C₂³	#14556569	1	1	yes	characteristic
199	Q₈	—	292	1	no	—
200	Q₈	—	292	1	no	—
201	Q₈	—	146	2	no	—
202	Q₈	—	146	2	no	—
203	C₂×C₄	—	4	1	no	—
204	C₂×C₄	—	4	1	no	—
205	C₂×C₄	—	292	1	no	—
206	C₂×C₄	—	292	1	no	—
207	C₂×C₄	—	292	2	no	—
208	C₂×C₄	—	292	1	no	—
209	C₂×C₄	—	146	2	no	—
210	C₂×C₄	#14556567	1	1	yes	characteristic
211	C₂×C₄	#14556569	1	1	yes	characteristic
212	C₂×C₄	#14556574	1	1	yes	characteristic
213	C₂×C₄	#14556576	1	1	yes	characteristic
214	C₂×C₄	#14556576	1	1	yes	characteristic
215	C₂×C₄	#14556587	1	1	yes	characteristic
216	C₂×C₄	#14556610	1	2	yes	—
217	C₂×C₄	#14556623	1	2	yes	—
218	C₈	—	4	2	no	—
219	C₈	—	8	1	no	—
220	C₈	—	8	1	no	—
221	C₈	—	292	2	no	—
222	C₈	—	292	2	no	—
223	C₈	—	584	1	no	—
224	C₂²	—	2	1	no	—
225	C₂²	—	2	1	no	—
226	C₂²	#17988522	1	1	yes	characteristic
227	C₂²	#17988893	1	2	yes	—
228	C₄	—	2	1	no	—
229	C₄	—	2	1	no	—
230	C₄	—	2	1	no	—
231	C₄	—	2	1	no	—
232	C₄	—	292	2	no	—
233	C₄	—	584	1	no	—
234	C₄	#17988930	1	2	yes	—
235	C₄	#17988970	1	1	yes	characteristic
236	C₄	#17988980	1	1	yes	characteristic
237	C₂	—	2	2	no	—
238	C₂	#22611446	1	1	yes	characteristic
239	C₂	#22611476	1	1	yes	characteristic
240	C₂	#22611487	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#22610870

C₂

yes

maximal, characteristic

#22610071

C₂

yes

maximal, characteristic

#22608701

C₂

yes

maximal, characteristic

#22608361

C₂

yes

maximal, characteristic

#22608359

C₂

yes

maximal, characteristic

#22607761

C₂

yes

maximal, characteristic

C₇₃×#1571

C₂

yes

maximal, characteristic

C₂×C₄×Dic₁₄₆

C₂²

yes

characteristic

#17988640

C₂²

yes

characteristic

#17988611

C₂²

yes

characteristic

C₂×#14556502

C₂²

yes

—

—

—

—

—

#431×C₇₃

C₂²

yes

characteristic

#423×C₇₃

C₂²

yes

characteristic

C₂×C₄⋊C₈×C₇₃

C₂²

yes

characteristic

#335×C₇₃

—

C₂²×Dic₁₄₆

Q₈

yes

characteristic

C₂×#11924012

—

C₂²×#10596831

D₄

yes

—

C₄×Dic₁₄₆

—

C₄×Dic₁₄₆

—

C₄×Dic₁₄₆

—

C₄×Dic₁₄₆

—

C₂×C₄⋊Dic₇₃

Q₈

yes

characteristic

C₂×#11924007

—

C₂×C₄×Dic₇₃

—

—

—

—

—

—

—

D₄

yes

—

C₂×M₁₆×C₇₃

—

C₂²×C₈×C₇₃

—

C₂×C₄²×C₇₃

C₂³

yes

characteristic

C₄⋊C₈×C₇₃

—

C₄⋊C₈×C₇₃

—

C₄⋊C₈×C₇₃

—

C₄⋊C₈×C₇₃

—

C₄⋊C₈×C₇₃

—

C₂²⋊C₈×C₇₃

—

C₄×C₈×C₇₃

D₄

yes

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

—

C₂²×Dic₇₃

—

C₂²×Dic₇₃

—

—

—

—

—

—

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

#11924007

—

#11924007

—

C₄×Dic₇₃

—

C₄×Dic₇₃

—

C₂²×C₄×C₇₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₇₃

C₂×Q₈

yes

characteristic

C₂²×C₄×C₇₃

#41

yes

characteristic

M₁₆×C₇₃

—

C₂×C₈×C₇₃

—

C₂×C₈×C₇₃

—

C₂×C₈×C₇₃

—

C₂×C₈×C₇₃

—

C₄²×C₇₃

C₂×D₄

yes

characteristic

C₄²×C₇₃

C₂×D₄

yes

C₄²×C₇₃

yes

C₄²×C₇₃

yes

C₂³×C₇₃

C₂²⋊Q₈

yes

characteristic

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

C₂²⋊Q₈

yes

characteristic

C₂×C₄×C₇₃

C₂²⋊Q₈

yes

C₂×C₄×C₇₃

yes

C₂×C₄×C₇₃

yes

C₂×C₄×C₇₃

yes

C₂×C₄×C₇₃

yes

C₂×C₄×C₇₃

yes

—

C₂×C₄×C₇₃

#137

yes

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

Dic₁₄₆

—

Dic₁₄₆

—

Dic₁₄₆

—

Dic₁₄₆

—

C₈×C₇₃

—

C₈×C₇₃

—

C₈×C₇₃

—

100

#10596831

—

101

#10596831

—

102

#10596831

—

103

C₂²×C₇₃

—

104

C₂²×C₇₃

—

105

C₂²×C₇₃

#399

yes

characteristic

106

C₂²×C₇₃

#479

yes

—

107

C₄×C₇₃

—

108

C₄×C₇₃

—

109

C₄×C₇₃

—

110

C₄×C₇₃

—

111

C₄×C₇₃

#485

yes

—

112

C₄×C₇₃

#495

yes

characteristic

113

C₄×C₇₃

#497

yes

characteristic

114

Dic₇₃

—

115

Dic₇₃

—

116

#10664

—

maximal, Sylow

117

C₂×C₇₃

—

118

C₂×C₇₃

#2091

yes

characteristic

119

C₂×C₇₃

#2097

yes

characteristic

120

C₂×C₇₃

#2098

yes

characteristic

121

#1985

—

122

#1838

—

123

#1571

D₇₃

yes

characteristic

124

#1570

—

125

#1487

—

126

#1487

—

127

#1275

—

128

C₇₃

#10664

yes

characteristic, complemented, Sylow

129

C₂×C₄×Q₈

—

130

#431

—

131

#431

C₂×D₇₃

yes

characteristic

132

#423

—

133

#423

C₂×D₇₃

yes

characteristic

134

C₂×C₄⋊C₈

C₂×D₇₃

yes

characteristic

135

C₂×#97

—

136

#341

—

146

—

137

#336

—

146

—

138

#335

—

139

#334

—

146

—

140

Q₈⋊C₈

—

146

—

141

Q₈⋊C₈

—

146

—

142

C₂²×Q₈

—

143

C₂×M₁₆

—

144

C₂×M₁₆

—

146

—

145

C₂²×C₈

—

146

C₂²×C₈

—

147

C₄×Q₈

—

146

—

148

C₄×Q₈

—

146

—

149

C₄×Q₈

—

146

—

150

C₄×Q₈

—

146

—

151

C₂×C₄⋊C₄

—

152

C₂×C₄⋊C₄

—

146

—

153

C₂×C₄²

—

146

—

154

C₂×C₄²

C₂²×D₇₃

yes

characteristic

155

C₄⋊C₈

—

156

C₄⋊C₈

—

157

C₄⋊C₈

—

158

C₄⋊C₈

—

159

C₄⋊C₈

—

160

C₄⋊C₈

—

146

—

161

C₄⋊C₈

—

146

—

162

C₄⋊C₈

—

146

—

163

C₂²⋊C₈

—

164

C₂²⋊C₈

—

146

—

165

#97

—

146

—

166

#97

—

146

—

167

C₄×C₈

—

168

C₄×C₈

C₂²⋊D₇₃

yes

—

169

C₂×Q₈

—

292

—

170

C₂×Q₈

—

146

—

171

C₂×Q₈

—

146

—

172

C₂²×C₄

—

146

—

173

C₂²×C₄

—

146

—

174

C₂²×C₄

D₄×D₇₃

yes

characteristic

175

C₂²×C₄

Q₈×D₇₃

yes

characteristic

176

C₂²×C₄

#11924028

yes

characteristic

177

M₁₆

—

178

M₁₆

—

292

—

179

C₂×C₈

—

180

C₂×C₈

—

181

C₂×C₈

—

182

C₂×C₈

—

183

C₂×C₈

—

292

—

184

C₂×C₈

—

146

—

185

C₂×C₈

—

146

—

186

C₂×C₈

—

146

—

187

C₂×C₈

—

146

—

188

C₄⋊C₄

—

292

—

189

C₄⋊C₄

—

292

—

190

C₄⋊C₄

—

146

—

191

C₄⋊C₄

—

146

—

192

C₄²

—

292

—

193

C₄²

—

292

—

194

C₄²

D₄×D₇₃

yes

characteristic

195

C₄²

C₂×C₂²⋊D₇₃

yes

characteristic

196

C₄²

#11924028

yes

characteristic

197

C₄²

#11924029

yes

characteristic

198

C₂³

#14556569

yes

characteristic

199

Q₈

—

292

—

200

Q₈

—

292

—

201

Q₈

—

146

—

202

Q₈

—

146

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

292

—

206

C₂×C₄

—

292

—

207

C₂×C₄

—

292

—

208

C₂×C₄

—

292

—

209

C₂×C₄

—

146

—

210

C₂×C₄

#14556567

yes

characteristic

211

C₂×C₄

#14556569

yes

characteristic

212

C₂×C₄

#14556574

yes

characteristic

213

C₂×C₄

#14556576

yes

characteristic

214

C₂×C₄

#14556576

yes

characteristic

215

C₂×C₄

#14556587

yes

characteristic

216

C₂×C₄

#14556610

yes

—

217

C₂×C₄

#14556623

yes

—

218

C₈

—

219

C₈

—

220

C₈

—

221

C₈

—

292

—

222

C₈

—

292

—

223

C₈

—

584

—

224

C₂²

—

225

C₂²

—

226

C₂²

#17988522

yes

characteristic

227

C₂²

#17988893

yes

—

228

C₄

—

229

C₄

—

230

C₄

—

231

C₄

—

232

C₄

—

292

—

233

C₄

—

584

—

234

C₄

#17988930

yes

—

235

C₄

#17988970

yes

characteristic

236

C₄

#17988980

yes

characteristic

237

C₂

—

238

C₂

#22611446

yes

characteristic

239

C₂

#22611476

yes

characteristic

240

C₂

#22611487

yes

characteristic

	subgroup	G/H
center	C₂×C₄	#14556587
commutator, cosocle	C₂×C₄²×C₇₃	C₂³
Frattini	C₂×C₄²	C₂²×D₇₃
Fitting	C₇₃×#1571	C₂
socle	C₂²×C₇₃	#399
prime radical	C₂³×C₇₃	C₂²⋊Q₈
hypercenter	#1571	D₇₃
hypocenter	C₇₃	#10664
LCS	G ▷ C₂×C₄²×C₇₃ ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1571

subgroup

G/H

center

C₂×C₄

#14556587

commutator, cosocle

C₂×C₄²×C₇₃

C₂³

Frattini

C₂×C₄²

C₂²×D₇₃

Fitting

C₇₃×#1571

C₂

socle

C₂²×C₇₃

#399

prime radical

C₂³×C₇₃

C₂²⋊Q₈

D₇₃

C₇₃

G ▷ C₂×C₄²×C₇₃ ▷ C₂²×C₇₃ ▷ C₇₃

UCS

C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1571

N	H ≅ G/N	type
128. C₇₃	#10664	semidirect

H ≅ G/N

type

128. C₇₃

#10664

semidirect

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

subgroup	index
#22610870	2
#22610071	2
#22608701	2
#22608361	2
#22608359	2
#22607761	2
C₇₃×#1571	2
#10664	73

subgroup

index

C₇₃×#1571

Subgroups — #32990979

Conjugacy classes of subgroups

Complements

Maximal subgroups