Group #18014716 — subgroups

Subgroups — C₁₉×#8757 #18014716

Order 4864.

438 conjugacy classes of subgroups; only the 118 normal subgroups are shown.

normal subgroups only

This group has 438 conjugacy classes of subgroups — too many to draw. Only its 118 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	C₁₉×#2316	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#1463	C₂	1	2	yes	maximal
3	C₁₉×#1305	C₂	1	4	yes	maximal
4	C₂×C₁₉×#117	C₄	1	1	yes	characteristic
5	C₂×C₁₉×#117	C₄	1	1	yes	characteristic
6	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
7	C₁₉×#407	C₂²	1	4	yes	—
8	C₁₉×#389	—	2	2	no	—
9	C₁₉×#389	—	2	2	no	—
10	C₁₉×#380	C₄	1	2	yes	—
11	C₁₉×#380	C₂²	1	2	yes	—
12	C₁₉×#324	—	2	2	no	—
13	C₁₉×#324	—	2	2	no	—
14	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
15	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
16	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
17	C₂×M₁₆×C₁₉	—	2	4	no	—
18	C₁₉×#117	—	4	2	no	—
19	C₁₉×#117	—	4	2	no	—
20	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
21	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
22	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
23	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
24	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
25	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
26	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
27	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
28	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
29	C₂×C₄²×C₁₉	—	2	1	no	—
30	C₂×C₄²×C₁₉	—	2	1	no	—
31	C₁₉×C₂²⋊C₈	—	2	4	no	—
32	C₁₉×C₂²⋊C₈	—	2	4	no	—
33	C₁₉×#95	—	2	2	no	—
34	C₁₉×#95	—	2	2	no	—
35	C₂⁴×C₁₉	C₂²×C₄	1	1	yes	characteristic
36	C₂²×C₄×C₁₉	—	2	2	no	—
37	C₂²×C₄×C₁₉	—	2	2	no	—
38	C₂²×C₄×C₁₉	—	2	2	no	—
39	C₂²×C₄×C₁₉	—	2	2	no	—
40	C₂²×C₄×C₁₉	—	2	2	no	—
41	C₂²×C₄×C₁₉	—	2	2	no	—
42	C₂²×C₄×C₁₉	—	8	1	no	—
43	C₂²×C₄×C₁₉	—	8	1	no	—
44	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
45	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
46	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
47	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
48	C₂²×C₄×C₁₉	#41	1	4	yes	—
49	M₁₆×C₁₉	—	8	4	no	—
50	C₂×C₈×C₁₉	—	4	4	no	—
51	C₄⋊C₄×C₁₉	—	2	4	no	—
52	C₄⋊C₄×C₁₉	—	2	4	no	—
53	C₄⋊C₄×C₁₉	—	4	2	no	—
54	C₄⋊C₄×C₁₉	—	4	2	no	—
55	C₄⋊C₄×C₁₉	—	8	2	no	—
56	C₄⋊C₄×C₁₉	—	8	2	no	—
57	C₂²⋊C₄×C₁₉	—	4	2	no	—
58	C₂²⋊C₄×C₁₉	—	4	2	no	—
59	C₄²×C₁₉	—	4	2	no	—
60	C₄²×C₁₉	—	4	2	no	—
61	#8757	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
62	C₂³×C₁₉	—	2	1	no	—
63	C₂³×C₁₉	—	2	1	no	—
64	C₂³×C₁₉	—	4	1	no	—
65	C₂³×C₁₉	—	4	1	no	—
66	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
67	C₂³×C₁₉	#117	1	2	yes	—
68	C₂×C₄×C₁₉	—	2	8	no	—
69	C₂×C₄×C₁₉	—	2	1	no	—
70	C₂×C₄×C₁₉	—	2	1	no	—
71	C₂×C₄×C₁₉	—	2	1	no	—
72	C₂×C₄×C₁₉	—	2	1	no	—
73	C₂×C₄×C₁₉	—	2	2	no	—
74	C₂×C₄×C₁₉	—	4	2	no	—
75	C₂×C₄×C₁₉	—	4	4	no	—
76	C₂×C₄×C₁₉	—	4	2	no	—
77	C₂×C₄×C₁₉	—	4	2	no	—
78	C₂×C₄×C₁₉	—	4	2	no	—
79	C₂×C₄×C₁₉	—	4	2	no	—
80	C₂×C₄×C₁₉	—	4	2	no	—
81	C₂×C₄×C₁₉	—	4	2	no	—
82	C₂×C₄×C₁₉	—	4	2	no	—
83	C₂×C₄×C₁₉	—	8	2	no	—
84	C₂×C₄×C₁₉	#100	1	2	yes	—
85	C₂×C₄×C₁₉	#101	1	2	yes	—
86	C₂×C₄×C₁₉	#123	1	4	yes	—
87	C₈×C₁₉	—	8	4	no	—
88	#2316	C₂×C₁₉	1	1	yes	characteristic
89	#1463	C₂×C₁₉	1	2	yes	—
90	#1305	C₂×C₁₉	1	4	yes	—
91	C₂²×C₁₉	—	2	1	no	—
92	C₂²×C₁₉	—	2	1	no	—
93	C₂²×C₁₉	—	2	2	no	—
94	C₂²×C₁₉	—	2	2	no	—
95	C₂²×C₁₉	—	2	2	no	—
96	C₂²×C₁₉	—	4	2	no	—
97	C₂²×C₁₉	—	4	2	no	—
98	C₂²×C₁₉	#381	1	1	yes	characteristic
99	C₂²×C₁₉	C₂×#100	1	1	yes	characteristic
100	C₂²×C₁₉	C₂×#101	1	1	yes	characteristic
101	C₄×C₁₉	—	2	2	no	—
102	C₄×C₁₉	—	2	2	no	—
103	C₄×C₁₉	—	2	4	no	—
104	C₄×C₁₉	—	4	2	no	—
105	C₄×C₁₉	—	8	2	no	—
106	C₄×C₁₉	—	8	2	no	—
107	C₂×#117	C₄×C₁₉	1	1	yes	characteristic
108	C₂×#117	C₄×C₁₉	1	1	yes	characteristic
109	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
110	#407	C₂²×C₁₉	1	4	yes	—
111	#389	—	2	2	no	—
112	#389	—	2	2	no	—
113	#380	C₄×C₁₉	1	2	yes	—
114	#380	C₂²×C₁₉	1	2	yes	—
115	#324	—	2	2	no	—
116	#324	—	2	2	no	—
117	C₂×C₁₉	—	2	1	no	—
118	C₂×C₁₉	—	2	1	no	—
119	C₂×C₁₉	—	4	2	no	—
120	C₂×C₁₉	#1821	1	1	yes	characteristic
121	C₂×C₁₉	#1828	1	1	yes	characteristic
122	C₂×C₁₉	#1830	1	1	yes	characteristic
123	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
124	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
125	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
126	C₂×M₁₆	—	2	4	no	—
127	#117	—	4	2	no	—
128	#117	—	4	2	no	—
129	C₂×C₄⋊C₄	—	2	4	no	—
130	C₂×C₄⋊C₄	—	2	1	no	—
131	C₂×C₄⋊C₄	—	2	1	no	—
132	C₂×C₄⋊C₄	—	2	2	no	—
133	C₂×C₄⋊C₄	—	2	2	no	—
134	C₂×C₄⋊C₄	D₄×C₁₉	1	2	yes	—
135	C₂×C₄⋊C₄	D₄×C₁₉	1	2	yes	—
136	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
137	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
138	C₂×C₄²	—	2	1	no	—
139	C₂×C₄²	—	2	1	no	—
140	C₂²⋊C₈	—	2	4	no	—
141	C₂²⋊C₈	—	2	4	no	—
142	#95	—	2	2	no	—
143	#95	—	2	2	no	—
144	C₁₉	#8757	1	1	yes	characteristic, direct product factor, Sylow
145	C₂⁴	C₂²×C₄×C₁₉	1	1	yes	characteristic
146	C₂²×C₄	—	2	2	no	—
147	C₂²×C₄	—	2	2	no	—
148	C₂²×C₄	—	2	2	no	—
149	C₂²×C₄	—	2	2	no	—
150	C₂²×C₄	—	2	2	no	—
151	C₂²×C₄	—	2	2	no	—
152	C₂²×C₄	—	8	1	no	—
153	C₂²×C₄	—	8	1	no	—
154	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
155	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
156	C₂²×C₄	C₂²⋊C₄×C₁₉	1	2	yes	—
157	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
158	C₂²×C₄	#41×C₁₉	1	4	yes	—
159	M₁₆	—	8	4	no	—
160	C₂×C₈	—	4	4	no	—
161	C₄⋊C₄	—	2	4	no	—
162	C₄⋊C₄	—	2	4	no	—
163	C₄⋊C₄	—	4	2	no	—
164	C₄⋊C₄	—	4	2	no	—
165	C₄⋊C₄	—	8	2	no	—
166	C₄⋊C₄	—	8	2	no	—
167	C₂²⋊C₄	—	4	2	no	—
168	C₂²⋊C₄	—	4	2	no	—
169	C₄²	—	4	2	no	—
170	C₄²	—	4	2	no	—
171	C₂³	—	2	1	no	—
172	C₂³	—	2	1	no	—
173	C₂³	—	4	1	no	—
174	C₂³	—	4	1	no	—
175	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
176	C₂³	C₁₉×#117	1	2	yes	—
177	C₂×C₄	—	2	8	no	—
178	C₂×C₄	—	2	1	no	—
179	C₂×C₄	—	2	1	no	—
180	C₂×C₄	—	2	1	no	—
181	C₂×C₄	—	2	1	no	—
182	C₂×C₄	—	2	2	no	—
183	C₂×C₄	—	4	2	no	—
184	C₂×C₄	—	4	4	no	—
185	C₂×C₄	—	4	2	no	—
186	C₂×C₄	—	4	2	no	—
187	C₂×C₄	—	4	2	no	—
188	C₂×C₄	—	4	2	no	—
189	C₂×C₄	—	4	2	no	—
190	C₂×C₄	—	4	2	no	—
191	C₂×C₄	—	4	2	no	—
192	C₂×C₄	—	8	2	no	—
193	C₂×C₄	C₁₉×#100	1	2	yes	—
194	C₂×C₄	C₁₉×#101	1	2	yes	—
195	C₂×C₄	C₁₉×#123	1	4	yes	—
196	C₈	—	8	4	no	—
197	C₂²	—	2	1	no	—
198	C₂²	—	2	1	no	—
199	C₂²	—	2	2	no	—
200	C₂²	—	2	2	no	—
201	C₂²	—	2	2	no	—
202	C₂²	—	4	2	no	—
203	C₂²	—	4	2	no	—
204	C₂²	C₁₉×#381	1	1	yes	characteristic
205	C₂²	C₂×C₁₉×#100	1	1	yes	characteristic
206	C₂²	C₂×C₁₉×#101	1	1	yes	characteristic
207	C₄	—	2	2	no	—
208	C₄	—	2	2	no	—
209	C₄	—	2	4	no	—
210	C₄	—	4	2	no	—
211	C₄	—	8	2	no	—
212	C₄	—	8	2	no	—
213	C₂	—	2	1	no	—
214	C₂	—	2	1	no	—
215	C₂	—	4	2	no	—
216	C₂	C₁₉×#1821	1	1	yes	characteristic
217	C₂	C₁₉×#1828	1	1	yes	characteristic
218	C₂	C₁₉×#1830	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₁₉×#2316

C₂

yes

maximal, characteristic

C₁₉×#1463

C₂

yes

maximal

C₁₉×#1305

C₂

yes

maximal

C₂×C₁₉×#117

C₄

yes

characteristic

C₂×C₁₉×#117

C₄

yes

characteristic

C₂²×C₄⋊C₄×C₁₉

C₂²

yes

characteristic

C₁₉×#407

C₂²

yes

—

C₁₉×#389

—

C₁₉×#389

—

C₁₉×#380

C₄

yes

—

C₁₉×#380

C₂²

yes

—

C₁₉×#324

—

C₁₉×#324

—

C₂³×C₄×C₁₉

C₂×C₄

yes

characteristic

C₂³×C₄×C₁₉

C₂×C₄

yes

characteristic

C₂³×C₄×C₁₉

C₂³

yes

characteristic

C₂×M₁₆×C₁₉

—

C₁₉×#117

—

C₁₉×#117

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

D₄

yes

—

C₂×C₄⋊C₄×C₁₉

D₄

yes

—

C₂×C₂²⋊C₄×C₁₉

C₂×C₄

yes

—

C₂×C₂²⋊C₄×C₁₉

C₂×C₄

yes

—

C₂×C₄²×C₁₉

—

C₂×C₄²×C₁₉

—

C₁₉×C₂²⋊C₈

—

C₁₉×C₂²⋊C₈

—

C₁₉×#95

—

C₁₉×#95

—

C₂⁴×C₁₉

C₂²×C₄

yes

characteristic

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

—

C₂²×C₄×C₁₉

C₂×D₄

yes

—

C₂²×C₄×C₁₉

#41

yes

—

M₁₆×C₁₉

—

C₂×C₈×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

#8757

C₁₉

yes

maximal, characteristic, direct product factor, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

C₂×C₂²⋊C₄

yes

characteristic

C₂³×C₁₉

#117

yes

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

#100

yes

—

C₂×C₄×C₁₉

#101

yes

—

C₂×C₄×C₁₉

#123

yes

—

C₈×C₁₉

—

#2316

C₂×C₁₉

yes

characteristic

#1463

C₂×C₁₉

yes

—

#1305

C₂×C₁₉

yes

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

yes

C₂²×C₁₉

yes

100

C₂²×C₁₉

C₂×#101

yes

characteristic

101

C₄×C₁₉

—

102

C₄×C₁₉

—

103

C₄×C₁₉

—

104

C₄×C₁₉

—

105

C₄×C₁₉

—

106

C₄×C₁₉

—

107

C₂×#117

C₄×C₁₉

yes

characteristic

108

C₂×#117

C₄×C₁₉

yes

characteristic

109

C₂²×C₄⋊C₄

C₂²×C₁₉

yes

characteristic

110

#407

C₂²×C₁₉

yes

—

111

#389

—

112

#389

—

113

#380

C₄×C₁₉

yes

—

114

#380

C₂²×C₁₉

yes

—

115

#324

—

116

#324

—

117

C₂×C₁₉

—

118

C₂×C₁₉

—

119

C₂×C₁₉

—

120

C₂×C₁₉

#1821

yes

characteristic

121

C₂×C₁₉

#1828

yes

characteristic

122

C₂×C₁₉

#1830

yes

characteristic

123

C₂³×C₄

C₂×C₄×C₁₉

yes

characteristic

124

C₂³×C₄

C₂×C₄×C₁₉

yes

characteristic

125

C₂³×C₄

C₂³×C₁₉

yes

characteristic

126

C₂×M₁₆

—

127

#117

—

128

#117

—

129

C₂×C₄⋊C₄

—

130

C₂×C₄⋊C₄

—

131

C₂×C₄⋊C₄

—

132

C₂×C₄⋊C₄

—

133

C₂×C₄⋊C₄

—

134

C₂×C₄⋊C₄

D₄×C₁₉

yes

—

135

C₂×C₄⋊C₄

D₄×C₁₉

yes

—

136

C₂×C₂²⋊C₄

C₂×C₄×C₁₉

yes

—

137

C₂×C₂²⋊C₄

C₂×C₄×C₁₉

yes

—

138

C₂×C₄²

—

139

C₂×C₄²

—

140

C₂²⋊C₈

—

141

C₂²⋊C₈

—

142

#95

—

143

#95

—

144

C₁₉

#8757

yes

characteristic, direct product factor, Sylow

145

C₂⁴

C₂²×C₄×C₁₉

yes

characteristic

146

C₂²×C₄

—

147

C₂²×C₄

—

148

C₂²×C₄

—

149

C₂²×C₄

—

150

C₂²×C₄

—

151

C₂²×C₄

—

152

C₂²×C₄

—

153

C₂²×C₄

—

154

C₂²×C₄

C₂²⋊C₄×C₁₉

yes

characteristic

155

C₂²×C₄

C₂²⋊C₄×C₁₉

yes

characteristic

156

C₂²×C₄

C₂²⋊C₄×C₁₉

yes

—

157

C₂²×C₄

C₂×D₄×C₁₉

yes

—

158

C₂²×C₄

#41×C₁₉

yes

—

159

M₁₆

—

160

C₂×C₈

—

161

C₄⋊C₄

—

162

C₄⋊C₄

—

163

C₄⋊C₄

—

164

C₄⋊C₄

—

165

C₄⋊C₄

—

166

C₄⋊C₄

—

167

C₂²⋊C₄

—

168

C₂²⋊C₄

—

169

C₄²

—

170

C₄²

—

171

C₂³

—

172

C₂³

—

173

C₂³

—

174

C₂³

—

175

C₂³

C₂×C₂²⋊C₄×C₁₉

yes

characteristic

176

C₂³

C₁₉×#117

yes

—

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

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

C₁₉×#100

yes

—

194

C₂×C₄

C₁₉×#101

yes

—

195

C₂×C₄

C₁₉×#123

yes

—

196

C₈

—

197

C₂²

—

198

C₂²

—

199

C₂²

—

200

C₂²

—

201

C₂²

—

202

C₂²

—

203

C₂²

—

204

C₂²

C₁₉×#381

yes

characteristic

205

C₂²

C₂×C₁₉×#100

yes

characteristic

206

C₂²

C₂×C₁₉×#101

yes

characteristic

207

C₄

—

208

C₄

—

209

C₄

—

210

C₄

—

211

C₄

—

212

C₄

—

213

C₂

—

214

C₂

—

215

C₂

—

216

C₂

C₁₉×#1821

yes

characteristic

217

C₂

C₁₉×#1828

yes

characteristic

218

C₂

C₁₉×#1830

yes

characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#381
commutator	C₂⁴	C₂²×C₄×C₁₉
Frattini, cosocle	C₂³×C₄	C₂³×C₁₉
prime radical	C₂⁴×C₁₉	C₂²×C₄
LCS	G ▷ C₂⁴ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂³×C₄×C₁₉ ◁ G

subgroup

G/H

center, socle

C₂²×C₁₉

#381

commutator

C₂⁴

C₂²×C₄×C₁₉

Frattini, cosocle

C₂³×C₄

C₂³×C₁₉

prime radical

C₂⁴×C₁₉

C₂²×C₄

LCS

G ▷ C₂⁴ ▷ C₂² ▷ C₁

UCS

C₁ ◁ C₂²×C₁₉ ◁ C₂³×C₄×C₁₉ ◁ G

N	H ≅ G/N	type
61. #8757	C₁₉	direct (N × H)
144. C₁₉	#8757	direct (N × H)

H ≅ G/N

type

61. #8757

C₁₉

direct (N × H)

144. C₁₉

#8757

direct (N × H)

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

subgroup	index
C₁₉×#2316	2
C₁₉×#1463	2
C₁₉×#1305	2
#8757	19

subgroup

index

C₁₉×#2316

C₁₉×#1463

C₁₉×#1305

#8757

Subgroups — C₁₉×#8757 #18014716

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C19×#8757 #18014716

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#8757 #18014716