Group #18075470 — subgroups

Subgroups — #18075470

Order 4864.

398 conjugacy classes of subgroups; only the 121 normal subgroups are shown.

normal subgroups only

This group has 398 conjugacy classes of subgroups — too many to draw. Only its 121 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×#11926668	C₂	1	1	yes	maximal, characteristic
2	#14563628	C₂	1	2	yes	maximal
3	#14562393	C₂	1	2	yes	maximal
4	#14561510	C₂	1	1	yes	maximal, characteristic
5	C₁₉×#1292	C₂	1	1	yes	maximal, characteristic
6	C₂×C₄×Dic₃₈	C₂²	1	1	yes	characteristic
7	#11926668	—	2	2	no	—
8	#11926668	—	2	2	no	—
9	#11926568	C₂²	1	2	yes	—
10	C₂×Dic₁₉⋊C₈	C₄	1	2	yes	—
11	C₂×#10597281	—	2	2	no	—
12	C₂×C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
13	C₂×C₈×Dic₁₉	C₄	1	2	yes	—
14	#11926312	—	2	2	no	—
15	#11926296	—	2	2	no	—
16	#11926296	—	2	2	no	—
17	C₁₉×#423	C₂²	1	2	yes	—
18	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
19	C₂²×Dic₃₈	D₄	1	1	yes	characteristic
20	C₂×M₁₆×C₁₉	—	2	2	no	—
21	C₂²×C₈×C₁₉	C₂×C₄	1	2	yes	—
22	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
23	C₂×C₄⋊Dic₁₉	D₄	1	1	yes	characteristic
24	C₂×Dic₁₉⋊C₄	Q₈	1	2	yes	—
25	C₂×C₄×Dic₁₉	C₂×C₄	1	2	yes	—
26	C₂×#64520	—	2	2	no	—
27	C₂²×C₁₉⋊C₈	C₂×C₄	1	1	yes	characteristic
28	C₂²×C₁₉⋊C₈	C₂×C₄	1	1	yes	characteristic
29	C₄×Dic₃₈	—	2	2	no	—
30	C₄×Dic₃₈	—	2	2	no	—
31	C₁₉×C₄⋊C₈	—	2	2	no	—
32	C₁₉×C₄⋊C₈	—	2	2	no	—
33	C₁₉×C₄⋊C₈	—	2	2	no	—
34	#10597281	—	4	4	no	—
35	Dic₁₉⋊C₈	—	2	4	no	—
36	C₈×Dic₁₉	—	2	2	no	—
37	C₈×Dic₁₉	—	2	2	no	—
38	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
39	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
40	C₄×C₁₉⋊C₈	D₄	1	2	yes	—
41	C₄×C₁₉⋊C₈	D₄	1	2	yes	—
42	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
43	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
44	C₂²×C₄×C₁₉	C₂×Q₈	1	1	yes	characteristic
45	C₂²×Dic₁₉	C₄⋊C₄	1	2	yes	—
46	C₂²×Dic₁₉	C₄⋊C₄	1	2	yes	—
47	C₂×Dic₃₈	—	2	2	no	—
48	C₂×Dic₃₈	—	2	2	no	—
49	C₂×Dic₃₈	D₈	1	2	yes	—
50	C₂×Dic₃₈	Q₁₆	1	2	yes	—
51	M₁₆×C₁₉	—	4	2	no	—
52	M₁₆×C₁₉	—	4	2	no	—
53	C₂×C₈×C₁₉	—	2	2	no	—
54	C₂×C₈×C₁₉	—	4	2	no	—
55	C₂×C₈×C₁₉	—	4	2	no	—
56	C₄²×C₁₉	C₂×D₄	1	2	yes	—
57	C₄²×C₁₉	#41	1	2	yes	—
58	C₄⋊Dic₁₉	—	2	2	no	—
59	Dic₁₉⋊C₄	—	2	4	no	—
60	C₄×Dic₁₉	—	2	2	no	—
61	C₄×Dic₁₉	—	2	2	no	—
62	#64520	—	4	2	no	—
63	#64520	—	4	2	no	—
64	C₂×C₁₉⋊C₈	—	2	2	no	—
65	C₂×C₁₉⋊C₈	—	4	1	no	—
66	C₂×C₁₉⋊C₈	—	4	2	no	—
67	C₂×C₁₉⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
68	C₂×C₁₉⋊C₈	C₂²⋊C₄	1	2	yes	—
69	C₂×C₁₉⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
70	#8617	—	19	1	no	maximal, Sylow
71	C₂³×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
72	C₂×C₄×C₁₉	—	2	1	no	—
73	C₂×C₄×C₁₉	—	2	1	no	—
74	C₂×C₄×C₁₉	—	4	1	no	—
75	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
76	C₂×C₄×C₁₉	#117	1	1	yes	characteristic
77	C₂×C₄×C₁₉	#121	1	2	yes	—
78	C₂×C₄×C₁₉	C₂²⋊Q₈	1	2	yes	—
79	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
80	C₂×C₄×C₁₉	C₂×Q₁₆	1	1	yes	characteristic
81	C₂×C₄×C₁₉	#135	1	2	yes	—
82	C₂×Dic₁₉	—	2	2	no	—
83	C₂×Dic₁₉	—	2	2	no	—
84	C₂×Dic₁₉	—	2	2	no	—
85	C₂×Dic₁₉	—	4	2	no	—
86	C₂×Dic₁₉	#107	1	4	yes	—
87	Dic₃₈	—	2	4	no	—
88	Dic₃₈	—	2	4	no	—
89	C₈×C₁₉	—	4	2	no	—
90	C₈×C₁₉	—	8	2	no	—
91	C₁₉⋊C₈	—	2	1	no	—
92	C₁₉⋊C₈	—	2	2	no	—
93	C₁₉⋊C₈	—	8	2	no	—
94	C₁₉⋊C₈	#101	1	2	yes	complemented
95	C₂×C₈×Q₈	—	19	1	no	—
96	#1801	—	19	2	no	—
97	#1567	—	19	2	no	—
98	#1292	—	19	1	no	—
99	#1292	D₁₉	1	1	yes	characteristic
100	C₂²×C₁₉	—	2	1	no	—
101	C₂²×C₁₉	—	2	1	no	—
102	C₂²×C₁₉	#380	1	1	yes	characteristic
103	C₂²×C₁₉	C₂×#107	1	1	yes	characteristic
104	C₂²×C₁₉	#427	1	1	yes	characteristic
105	C₄×C₁₉	—	2	1	no	—
106	C₄×C₁₉	—	2	2	no	—
107	C₄×C₁₉	C₂×#101	1	1	yes	characteristic
108	C₄×C₁₉	#413	1	1	yes	characteristic
109	C₄×C₁₉	#466	1	2	yes	—
110	C₄×C₁₉	#467	1	2	yes	—
111	Dic₁₉	—	2	4	no	—
112	Dic₁₉	—	4	2	no	—
113	C₂×C₄×Q₈	—	19	1	no	—
114	C₈×Q₈	—	38	2	no	—
115	C₈×Q₈	—	38	2	no	—
116	#423	—	19	2	no	—
117	#423	C₂×D₁₉	1	2	yes	—
118	C₂×C₄⋊C₈	—	19	2	no	—
119	C₂×C₄⋊C₈	C₂×D₁₉	1	1	yes	characteristic
120	C₂×#101	—	38	2	no	—
121	C₂×C₄×C₈	—	19	1	no	—
122	C₂×C₄×C₈	—	19	2	no	—
123	#343	—	38	2	no	—
124	#335	—	38	2	no	—
125	#335	—	38	2	no	—
126	C₂×C₁₉	—	2	1	no	—
127	C₂×C₁₉	—	2	1	no	—
128	C₂×C₁₉	#1801	1	1	yes	characteristic
129	C₂×C₁₉	#1808	1	1	yes	characteristic
130	C₂×C₁₉	#1813	1	1	yes	characteristic
131	C₂²×Q₈	—	19	1	no	—
132	C₂×M₁₆	—	2	2	no	—
133	C₂×M₁₆	—	38	2	no	—
134	C₂²×C₈	—	19	1	no	—
135	C₂²×C₈	—	19	1	no	—
136	C₂²×C₈	C₄×D₁₉	1	2	yes	—
137	C₄×Q₈	—	38	2	no	—
138	C₄×Q₈	—	38	2	no	—
139	C₂×C₄⋊C₄	—	19	1	no	—
140	C₂×C₄⋊C₄	—	19	2	no	—
141	C₂×C₄²	—	19	2	no	—
142	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
143	C₄⋊C₈	—	2	2	no	—
144	C₄⋊C₈	—	2	2	no	—
145	C₄⋊C₈	—	2	2	no	—
146	C₄⋊C₈	—	38	4	no	—
147	C₄⋊C₈	—	38	2	no	—
148	C₄⋊C₈	—	38	2	no	—
149	#101	—	76	4	no	—
150	C₄×C₈	—	19	2	no	—
151	C₄×C₈	—	19	2	no	—
152	C₄×C₈	—	38	2	no	—
153	C₄×C₈	—	38	2	no	—
154	C₁₉	#8617	1	1	yes	characteristic, complemented, Sylow
155	C₂×Q₈	—	19	2	no	—
156	C₂×Q₈	—	19	2	no	—
157	C₂×Q₈	—	38	2	no	—
158	C₂×Q₈	—	38	2	no	—
159	C₂²×C₄	—	19	2	no	—
160	C₂²×C₄	—	19	2	no	—
161	C₂²×C₄	C₂×C₄×D₁₉	1	1	yes	characteristic
162	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
163	C₂²×C₄	Q₈×D₁₉	1	1	yes	characteristic
164	M₁₆	—	4	2	no	—
165	M₁₆	—	4	2	no	—
166	M₁₆	—	76	2	no	—
167	M₁₆	—	76	2	no	—
168	C₂×C₈	—	2	2	no	—
169	C₂×C₈	—	4	2	no	—
170	C₂×C₈	—	4	2	no	—
171	C₂×C₈	—	19	1	no	—
172	C₂×C₈	—	19	1	no	—
173	C₂×C₈	—	19	2	no	—
174	C₂×C₈	—	38	2	no	—
175	C₂×C₈	—	76	1	no	—
176	C₂×C₈	—	76	2	no	—
177	C₄⋊C₄	—	38	2	no	—
178	C₄⋊C₄	—	38	4	no	—
179	C₄²	—	38	2	no	—
180	C₄²	—	38	2	no	—
181	C₄²	#64541	1	2	yes	—
182	C₄²	D₄×D₁₉	1	2	yes	—
183	C₂³	C₄⋊C₄×D₁₉	1	1	yes	characteristic
184	Q₈	—	38	4	no	—
185	Q₈	—	38	4	no	—
186	C₂×C₄	—	2	1	no	—
187	C₂×C₄	—	2	1	no	—
188	C₂×C₄	—	4	1	no	—
189	C₂×C₄	—	19	4	no	—
190	C₂×C₄	—	38	2	no	—
191	C₂×C₄	—	38	2	no	—
192	C₂×C₄	—	38	2	no	—
193	C₂×C₄	—	76	2	no	—
194	C₂×C₄	#10597318	1	1	yes	characteristic
195	C₂×C₄	C₂²⋊C₄×D₁₉	1	1	yes	characteristic
196	C₂×C₄	#10597330	1	2	yes	—
197	C₂×C₄	#10597342	1	2	yes	—
198	C₂×C₄	D₈×D₁₉	1	1	yes	characteristic
199	C₂×C₄	#10597362	1	2	yes	—
200	C₂×C₄	Q₁₆×D₁₉	1	1	yes	characteristic
201	C₈	—	4	2	no	—
202	C₈	—	8	2	no	—
203	C₈	—	19	2	no	—
204	C₈	—	38	1	no	—
205	C₈	—	38	2	no	—
206	C₈	—	152	2	no	—
207	C₂²	—	2	1	no	—
208	C₂²	—	2	1	no	—
209	C₂²	#11926403	1	1	yes	characteristic
210	C₂²	#107×D₁₉	1	1	yes	characteristic
211	C₂²	#11926579	1	1	yes	characteristic
212	C₄	—	2	1	no	—
213	C₄	—	2	2	no	—
214	C₄	—	38	4	no	—
215	C₄	—	76	2	no	—
216	C₄	#101×D₁₉	1	1	yes	characteristic
217	C₄	#11926525	1	1	yes	characteristic
218	C₄	#11926779	1	2	yes	—
219	C₄	#11926784	1	2	yes	—
220	C₂	—	2	1	no	—
221	C₂	—	2	1	no	—
222	C₂	#14563630	1	1	yes	characteristic
223	C₂	#14563663	1	1	yes	characteristic
224	C₂	#14563684	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#11926668

C₂

yes

maximal, characteristic

#14563628

C₂

yes

maximal

#14562393

C₂

yes

maximal

#14561510

C₂

yes

maximal, characteristic

C₁₉×#1292

C₂

yes

maximal, characteristic

C₂×C₄×Dic₃₈

C₂²

yes

—

—

C₂²

yes

—

C₂×Dic₁₉⋊C₈

C₄

yes

—

C₂×#10597281

—

C₂×C₄×C₁₉⋊C₈

C₂²

yes

characteristic

C₂×C₈×Dic₁₉

C₄

yes

—

#11926312

—

#11926296

—

#11926296

—

C₁₉×#423

C₂²

yes

—

C₂×C₁₉×C₄⋊C₈

C₂²

yes

characteristic

C₂²×Dic₃₈

D₄

yes

characteristic

C₂×M₁₆×C₁₉

—

C₂²×C₈×C₁₉

C₂×C₄

yes

—

C₂×C₄²×C₁₉

C₂³

yes

characteristic

C₂×C₄⋊Dic₁₉

D₄

yes

characteristic

C₂×Dic₁₉⋊C₄

Q₈

yes

—

C₂×C₄×Dic₁₉

C₂×C₄

yes

—

C₂×#64520

—

C₂²×C₁₉⋊C₈

C₂×C₄

yes

characteristic

C₂²×C₁₉⋊C₈

C₂×C₄

yes

characteristic

C₄×Dic₃₈

—

C₄×Dic₃₈

—

C₁₉×C₄⋊C₈

—

C₁₉×C₄⋊C₈

—

C₁₉×C₄⋊C₈

—

#10597281

—

Dic₁₉⋊C₈

—

C₈×Dic₁₉

—

C₈×Dic₁₉

—

C₄⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

—

C₄×C₁₉⋊C₈

D₄

yes

—

C₄×C₁₉⋊C₈

D₄

yes

—

C₂²×C₄×C₁₉

C₂²×C₄

yes

characteristic

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₉

C₂×Q₈

yes

characteristic

C₂²×Dic₁₉

C₄⋊C₄

yes

—

C₂²×Dic₁₉

C₄⋊C₄

yes

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

D₈

yes

—

C₂×Dic₃₈

Q₁₆

yes

—

M₁₆×C₁₉

—

M₁₆×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₄²×C₁₉

C₂×D₄

yes

—

C₄²×C₁₉

#41

yes

—

C₄⋊Dic₁₉

—

Dic₁₉⋊C₄

—

C₄×Dic₁₉

—

C₄×Dic₁₉

—

#64520

—

#64520

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

C₂²⋊C₄

yes

characteristic

C₂×C₁₉⋊C₈

C₂²⋊C₄

yes

—

C₂×C₁₉⋊C₈

C₂²⋊C₄

yes

characteristic

#8617

—

maximal, Sylow

C₂³×C₁₉

C₂×C₄⋊C₄

yes

characteristic

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

C₂×C₂²⋊C₄

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

—

C₂×C₄×C₁₉

C₂²⋊Q₈

yes

—

C₂×C₄×C₁₉

C₂×D₈

yes

characteristic

C₂×C₄×C₁₉

C₂×Q₁₆

yes

characteristic

C₂×C₄×C₁₉

#135

yes

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

#107

yes

—

Dic₃₈

—

Dic₃₈

—

C₈×C₁₉

—

C₈×C₁₉

—

C₁₉⋊C₈

—

C₁₉⋊C₈

—

C₁₉⋊C₈

—

C₁₉⋊C₈

#101

yes

complemented

C₂×C₈×Q₈

—

—

—

—

D₁₉

yes

characteristic

100

C₂²×C₁₉

—

101

C₂²×C₁₉

—

102

C₂²×C₁₉

#380

yes

characteristic

103

C₂²×C₁₉

C₂×#107

yes

characteristic

104

C₂²×C₁₉

#427

yes

characteristic

105

C₄×C₁₉

—

106

C₄×C₁₉

—

107

C₄×C₁₉

C₂×#101

yes

characteristic

108

C₄×C₁₉

#413

yes

characteristic

109

C₄×C₁₉

#466

yes

—

110

C₄×C₁₉

#467

yes

—

111

Dic₁₉

—

112

Dic₁₉

—

113

C₂×C₄×Q₈

—

114

C₈×Q₈

—

115

C₈×Q₈

—

116

#423

—

117

#423

C₂×D₁₉

yes

—

118

C₂×C₄⋊C₈

—

119

C₂×C₄⋊C₈

C₂×D₁₉

yes

characteristic

120

C₂×#101

—

121

C₂×C₄×C₈

—

122

C₂×C₄×C₈

—

123

#343

—

124

#335

—

125

#335

—

126

C₂×C₁₉

—

127

C₂×C₁₉

—

128

C₂×C₁₉

#1801

yes

characteristic

129

C₂×C₁₉

#1808

yes

characteristic

130

C₂×C₁₉

#1813

yes

characteristic

131

C₂²×Q₈

—

132

C₂×M₁₆

—

133

C₂×M₁₆

—

134

C₂²×C₈

—

135

C₂²×C₈

—

136

C₂²×C₈

C₄×D₁₉

yes

—

137

C₄×Q₈

—

138

C₄×Q₈

—

139

C₂×C₄⋊C₄

—

140

C₂×C₄⋊C₄

—

141

C₂×C₄²

—

142

C₂×C₄²

C₂²×D₁₉

yes

characteristic

143

C₄⋊C₈

—

144

C₄⋊C₈

—

145

C₄⋊C₈

—

146

C₄⋊C₈

—

147

C₄⋊C₈

—

148

C₄⋊C₈

—

149

#101

—

150

C₄×C₈

—

151

C₄×C₈

—

152

C₄×C₈

—

153

C₄×C₈

—

154

C₁₉

#8617

yes

characteristic, complemented, Sylow

155

C₂×Q₈

—

156

C₂×Q₈

—

157

C₂×Q₈

—

158

C₂×Q₈

—

159

C₂²×C₄

—

160

C₂²×C₄

—

161

C₂²×C₄

C₂×C₄×D₁₉

yes

characteristic

162

C₂²×C₄

D₄×D₁₉

yes

characteristic

163

C₂²×C₄

Q₈×D₁₉

yes

characteristic

164

M₁₆

—

165

M₁₆

—

166

M₁₆

—

167

M₁₆

—

168

C₂×C₈

—

169

C₂×C₈

—

170

C₂×C₈

—

171

C₂×C₈

—

172

C₂×C₈

—

173

C₂×C₈

—

174

C₂×C₈

—

175

C₂×C₈

—

176

C₂×C₈

—

177

C₄⋊C₄

—

178

C₄⋊C₄

—

179

C₄²

—

180

C₄²

—

181

C₄²

#64541

yes

—

182

C₄²

D₄×D₁₉

yes

—

183

C₂³

C₄⋊C₄×D₁₉

yes

characteristic

184

Q₈

—

185

Q₈

—

186

C₂×C₄

—

187

C₂×C₄

—

188

C₂×C₄

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

—

194

C₂×C₄

#10597318

yes

characteristic

195

C₂×C₄

C₂²⋊C₄×D₁₉

yes

characteristic

196

C₂×C₄

#10597330

yes

—

197

C₂×C₄

#10597342

yes

—

198

C₂×C₄

D₈×D₁₉

yes

characteristic

199

C₂×C₄

#10597362

yes

—

200

C₂×C₄

Q₁₆×D₁₉

yes

characteristic

201

C₈

—

202

C₈

—

203

C₈

—

204

C₈

—

205

C₈

—

206

C₈

—

152

—

207

C₂²

—

208

C₂²

—

209

C₂²

#11926403

yes

characteristic

210

C₂²

#107×D₁₉

yes

characteristic

211

C₂²

#11926579

yes

characteristic

212

C₄

—

213

C₄

—

214

C₄

—

215

C₄

—

216

C₄

#101×D₁₉

yes

characteristic

217

C₄

#11926525

yes

characteristic

218

C₄

#11926779

yes

—

219

C₄

#11926784

yes

—

220

C₂

—

221

C₂

—

222

C₂

#14563630

yes

characteristic

223

C₂

#14563663

yes

characteristic

224

C₂

#14563684

yes

characteristic

	subgroup	G/H
center	C₂²	#11926403
commutator	C₂²×C₄×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1292	C₂
socle	C₂²×C₁₉	#380
prime radical	C₂³×C₁₉	C₂×C₄⋊C₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#1292	D₁₉
hypocenter	C₁₉	#8617
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1292

subgroup

G/H

center

C₂²

#11926403

commutator

C₂²×C₄×C₁₉

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting

C₁₉×#1292

C₂

socle

C₂²×C₁₉

#380

prime radical

C₂³×C₁₉

C₂×C₄⋊C₄

cosocle

C₂×C₄²×C₁₉

C₂³

D₁₉

C₁₉

G ▷ C₂²×C₄×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1292

N	H ≅ G/N	type
94. C₁₉⋊C₈	#101	semidirect
154. C₁₉	#8617	semidirect

H ≅ G/N

type

94. C₁₉⋊C₈

#101

semidirect

154. C₁₉

#8617

semidirect

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

subgroup	index
C₂×#11926668	2
#14563628	2
#14562393	2
#14561510	2
C₁₉×#1292	2
#8617	19

subgroup

index

C₁₉×#1292

Subgroups — #18075470

Conjugacy classes of subgroups

Complements

Maximal subgroups