Group #18017952 — subgroups

Subgroups — C₁₉×#11993 #18017952

Order 4864.

360 conjugacy classes of subgroups; only the 98 normal subgroups are shown.

normal subgroups only

This group has 360 conjugacy classes of subgroups — too many to draw. Only its 98 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×#3152	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2165	C₂	1	2	yes	maximal, complemented
3	C₁₉×#1359	C₂	1	2	yes	maximal, complemented
4	C₁₉×#1358	C₂	1	2	yes	maximal, complemented
5	C₂×C₁₉×#137	—	2	2	no	—
6	C₁₉×#532	C₄	1	1	yes	characteristic
7	C₂×C₁₉×C₄⋊Q₈	C₄	1	1	yes	characteristic
8	C₁₉×#497	—	2	2	no	—
9	C₁₉×#494	C₄	1	1	yes	characteristic
10	C₁₉×#494	C₂²	1	1	yes	characteristic
11	C₁₉×#492	C₄	1	1	yes	characteristic
12	C₁₉×#492	C₂²	1	1	yes	characteristic
13	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
14	C₁₉×#364	C₂²	1	4	yes	—
15	C₁₉×#349	—	2	2	no	—
16	C₁₉×#347	—	2	2	no	—
17	C₂×#41×C₁₉	—	2	1	no	—
18	C₂²×Q₈×C₁₉	—	2	1	no	—
19	C₁₉×#137	—	4	8	no	—
20	C₂×Q₁₆×C₁₉	—	2	2	no	—
21	C₂×Q₁₆×C₁₉	—	2	2	no	—
22	C₂×SD₁₆×C₁₉	—	2	2	no	—
23	C₂×SD₁₆×C₁₉	—	2	2	no	—
24	C₂×M₁₆×C₁₉	D₄	1	2	yes	—
25	C₁₉×C₄⋊Q₈	—	2	1	no	—
26	C₁₉×C₄⋊Q₈	—	4	1	no	—
27	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
28	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
29	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
30	C₁₉×#127	C₂×C₄	1	1	yes	characteristic
31	C₁₉×#124	—	2	1	no	—
32	C₁₉×#121	—	4	1	no	—
33	C₄×D₄×C₁₉	—	4	1	no	—
34	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
35	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
36	C₁₉×M₃₂	—	2	4	no	—
37	C₁₉×#97	D₄	1	2	yes	—
38	C₄×C₈×C₁₉	C₂×C₄	1	1	yes	characteristic
39	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
40	#41×C₁₉	—	4	4	no	—
41	C₂×Q₈×C₁₉	—	2	1	no	—
42	C₂×Q₈×C₁₉	—	2	1	no	—
43	C₂×Q₈×C₁₉	—	2	1	no	—
44	C₂×Q₈×C₁₉	—	4	4	no	—
45	C₂×Q₈×C₁₉	—	4	1	no	—
46	C₂×D₄×C₁₉	—	2	1	no	—
47	C₂×D₄×C₁₉	—	4	1	no	—
48	C₂×D₄×C₁₉	—	4	1	no	—
49	C₂²×C₄×C₁₉	—	2	1	no	—
50	C₂²×C₄×C₁₉	—	4	1	no	—
51	C₂²×C₄×C₁₉	—	4	1	no	—
52	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
53	Q₁₆×C₁₉	—	4	4	no	—
54	Q₁₆×C₁₉	—	4	4	no	—
55	SD₁₆×C₁₉	—	4	4	no	—
56	SD₁₆×C₁₉	—	4	4	no	—
57	M₁₆×C₁₉	—	2	4	no	—
58	C₂×C₈×C₁₉	C₂²⋊C₄	1	2	yes	—
59	C₂×C₈×C₁₉	C₂×D₄	1	2	yes	—
60	C₄⋊C₄×C₁₉	—	4	1	no	—
61	C₄⋊C₄×C₁₉	—	4	1	no	—
62	C₄⋊C₄×C₁₉	—	4	1	no	—
63	C₄⋊C₄×C₁₉	—	4	2	no	—
64	C₂²⋊C₄×C₁₉	—	4	2	no	—
65	C₄²×C₁₉	—	2	1	no	—
66	C₄²×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
67	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
68	C₁₆×C₁₉	—	4	4	no	—
69	#11993	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
70	C₂³×C₁₉	—	4	1	no	—
71	C₂³×C₁₉	#100	1	1	yes	characteristic
72	Q₈×C₁₉	—	4	2	no	—
73	Q₈×C₁₉	—	4	2	no	—
74	Q₈×C₁₉	—	4	2	no	—
75	Q₈×C₁₉	—	8	2	no	—
76	D₄×C₁₉	—	4	2	no	—
77	D₄×C₁₉	—	8	2	no	—
78	D₄×C₁₉	—	8	2	no	—
79	C₂×C₄×C₁₉	—	2	1	no	—
80	C₂×C₄×C₁₉	—	2	2	no	—
81	C₂×C₄×C₁₉	—	2	1	no	—
82	C₂×C₄×C₁₉	—	4	2	no	—
83	C₂×C₄×C₁₉	—	4	1	no	—
84	C₂×C₄×C₁₉	—	4	1	no	—
85	C₂×C₄×C₁₉	—	4	1	no	—
86	C₂×C₄×C₁₉	—	8	2	no	—
87	C₂×C₄×C₁₉	—	8	2	no	—
88	C₂×C₄×C₁₉	#100	1	1	yes	characteristic
89	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
90	C₈×C₁₉	—	2	2	no	—
91	C₈×C₁₉	AGL(1,ℤ/8)	1	4	yes	—
92	#3152	C₂×C₁₉	1	1	yes	characteristic
93	#2165	C₂×C₁₉	1	2	yes	complemented
94	#1359	C₂×C₁₉	1	2	yes	complemented
95	#1358	C₂×C₁₉	1	2	yes	complemented
96	C₂²×C₁₉	—	2	1	no	—
97	C₂²×C₁₉	—	4	1	no	—
98	C₂²×C₁₉	—	8	2	no	—
99	C₂²×C₁₉	—	8	1	no	—
100	C₂²×C₁₉	C₂×#100	1	1	yes	characteristic
101	C₄×C₁₉	—	2	2	no	—
102	C₄×C₁₉	—	2	1	no	—
103	C₄×C₁₉	—	4	1	no	—
104	C₄×C₁₉	—	8	1	no	—
105	C₄×C₁₉	—	8	1	no	—
106	C₄×C₁₉	—	8	1	no	—
107	C₄×C₁₉	#418	1	2	yes	—
108	C₂×#137	—	2	2	no	—
109	#532	C₄×C₁₉	1	1	yes	characteristic
110	C₂×C₄⋊Q₈	C₄×C₁₉	1	1	yes	characteristic
111	#497	—	2	2	no	—
112	#494	C₄×C₁₉	1	1	yes	characteristic
113	#494	C₂²×C₁₉	1	1	yes	characteristic
114	#492	C₄×C₁₉	1	1	yes	characteristic
115	#492	C₂²×C₁₉	1	1	yes	characteristic
116	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
117	#364	C₂²×C₁₉	1	4	yes	—
118	#349	—	2	2	no	—
119	#347	—	2	2	no	—
120	C₂×C₁₉	—	2	1	no	—
121	C₂×C₁₉	—	4	1	no	—
122	C₂×C₁₉	—	16	1	no	—
123	C₂×C₁₉	#1555	1	1	yes	characteristic
124	C₂×#41	—	2	1	no	—
125	C₂²×Q₈	—	2	1	no	—
126	#137	—	4	8	no	—
127	C₂×Q₁₆	—	2	2	no	—
128	C₂×Q₁₆	—	2	2	no	—
129	C₂×SD₁₆	—	2	2	no	—
130	C₂×SD₁₆	—	2	2	no	—
131	C₂×M₁₆	D₄×C₁₉	1	2	yes	—
132	C₄⋊Q₈	—	2	1	no	—
133	C₄⋊Q₈	—	4	1	no	—
134	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
135	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
136	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
137	#127	C₂×C₄×C₁₉	1	1	yes	characteristic
138	#124	—	2	1	no	—
139	#121	—	4	1	no	—
140	C₄×D₄	—	4	1	no	—
141	C₂×C₄⋊C₄	—	4	1	no	—
142	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
143	M₃₂	—	2	4	no	—
144	#97	D₄×C₁₉	1	2	yes	—
145	C₄×C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
146	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
147	C₁₉	#11993	1	1	yes	characteristic, direct product factor, Sylow
148	#41	—	4	4	no	—
149	C₂×Q₈	—	2	1	no	—
150	C₂×Q₈	—	2	1	no	—
151	C₂×Q₈	—	2	1	no	—
152	C₂×Q₈	—	4	4	no	—
153	C₂×Q₈	—	4	1	no	—
154	C₂×D₄	—	2	1	no	—
155	C₂×D₄	—	4	1	no	—
156	C₂×D₄	—	4	1	no	—
157	C₂²×C₄	—	2	1	no	—
158	C₂²×C₄	—	4	1	no	—
159	C₂²×C₄	—	4	1	no	—
160	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
161	Q₁₆	—	4	4	no	—
162	Q₁₆	—	4	4	no	—
163	SD₁₆	—	4	4	no	—
164	SD₁₆	—	4	4	no	—
165	M₁₆	—	2	4	no	—
166	C₂×C₈	C₂²⋊C₄×C₁₉	1	2	yes	—
167	C₂×C₈	C₂×D₄×C₁₉	1	2	yes	—
168	C₄⋊C₄	—	4	1	no	—
169	C₄⋊C₄	—	4	1	no	—
170	C₄⋊C₄	—	4	1	no	—
171	C₄⋊C₄	—	4	2	no	—
172	C₂²⋊C₄	—	4	2	no	—
173	C₄²	—	2	1	no	—
174	C₄²	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
175	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
176	C₁₆	—	4	4	no	—
177	C₂³	—	4	1	no	—
178	C₂³	C₁₉×#100	1	1	yes	characteristic
179	Q₈	—	4	2	no	—
180	Q₈	—	4	2	no	—
181	Q₈	—	4	2	no	—
182	Q₈	—	8	2	no	—
183	D₄	—	4	2	no	—
184	D₄	—	8	2	no	—
185	D₄	—	8	2	no	—
186	C₂×C₄	—	2	1	no	—
187	C₂×C₄	—	2	2	no	—
188	C₂×C₄	—	2	1	no	—
189	C₂×C₄	—	4	2	no	—
190	C₂×C₄	—	4	1	no	—
191	C₂×C₄	—	4	1	no	—
192	C₂×C₄	—	4	1	no	—
193	C₂×C₄	—	8	2	no	—
194	C₂×C₄	—	8	2	no	—
195	C₂×C₄	C₁₉×#100	1	1	yes	characteristic
196	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
197	C₈	—	2	2	no	—
198	C₈	C₁₉×AGL(1,ℤ/8)	1	4	yes	—
199	C₂²	—	2	1	no	—
200	C₂²	—	4	1	no	—
201	C₂²	—	8	2	no	—
202	C₂²	—	8	1	no	—
203	C₂²	C₂×C₁₉×#100	1	1	yes	characteristic
204	C₄	—	2	2	no	—
205	C₄	—	2	1	no	—
206	C₄	—	4	1	no	—
207	C₄	—	8	1	no	—
208	C₄	—	8	1	no	—
209	C₄	—	8	1	no	—
210	C₄	C₁₉×#418	1	2	yes	—
211	C₂	—	2	1	no	—
212	C₂	—	4	1	no	—
213	C₂	—	16	1	no	—
214	C₂	C₁₉×#1555	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₁₉×#3152

C₂

yes

maximal, characteristic

C₁₉×#2165

C₂

yes

maximal, complemented

C₁₉×#1359

C₂

yes

maximal, complemented

C₁₉×#1358

C₂

yes

maximal, complemented

C₂×C₁₉×#137

—

C₁₉×#532

C₄

yes

characteristic

C₂×C₁₉×C₄⋊Q₈

C₄

yes

characteristic

C₁₉×#497

—

C₁₉×#494

C₄

yes

characteristic

C₁₉×#494

C₂²

yes

characteristic

C₁₉×#492

C₄

yes

characteristic

C₁₉×#492

C₂²

yes

characteristic

C₄×M₁₆×C₁₉

C₂²

yes

characteristic

C₁₉×#364

C₂²

yes

—

C₁₉×#349

—

C₁₉×#347

—

C₂×#41×C₁₉

—

C₂²×Q₈×C₁₉

—

C₁₉×#137

—

C₂×Q₁₆×C₁₉

—

C₂×Q₁₆×C₁₉

—

C₂×SD₁₆×C₁₉

—

C₂×SD₁₆×C₁₉

—

C₂×M₁₆×C₁₉

D₄

yes

—

C₁₉×C₄⋊Q₈

—

C₁₉×C₄⋊Q₈

—

C₁₉×C₄⋊Q₈

C₂×C₄

yes

characteristic

C₁₉×C₄⋊Q₈

C₂×C₄

yes

characteristic

C₁₉×C₄⋊Q₈

C₂×C₄

yes

characteristic

C₁₉×#127

C₂×C₄

yes

characteristic

C₁₉×#124

—

C₁₉×#121

—

C₄×D₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄²×C₁₉

C₂×C₄

yes

characteristic

C₁₉×M₃₂

—

C₁₉×#97

D₄

yes

—

C₄×C₈×C₁₉

C₂×C₄

yes

characteristic

C₄×C₈×C₁₉

C₂³

yes

characteristic

#41×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

characteristic

Q₁₆×C₁₉

—

Q₁₆×C₁₉

—

SD₁₆×C₁₉

—

SD₁₆×C₁₉

—

M₁₆×C₁₉

—

C₂×C₈×C₁₉

C₂²⋊C₄

yes

—

C₂×C₈×C₁₉

C₂×D₄

yes

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

C₂²⋊C₄

yes

characteristic

C₄²×C₁₉

C₂²×C₄

yes

characteristic

C₁₆×C₁₉

—

#11993

C₁₉

yes

maximal, characteristic, direct product factor, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

#100

yes

characteristic

Q₈×C₁₉

—

Q₈×C₁₉

—

Q₈×C₁₉

—

Q₈×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

D₄×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

characteristic

C₂×C₄×C₁₉

C₂×C₂²⋊C₄

yes

characteristic

C₈×C₁₉

—

C₈×C₁₉

AGL(1,ℤ/8)

yes

—

#3152

C₂×C₁₉

yes

characteristic

#2165

C₂×C₁₉

yes

complemented

#1359

C₂×C₁₉

yes

complemented

#1358

C₂×C₁₉

yes

complemented

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

100

C₂²×C₁₉

C₂×#100

yes

characteristic

101

C₄×C₁₉

—

102

C₄×C₁₉

—

103

C₄×C₁₉

—

104

C₄×C₁₉

—

105

C₄×C₁₉

—

106

C₄×C₁₉

—

107

C₄×C₁₉

#418

yes

—

108

C₂×#137

—

109

#532

C₄×C₁₉

yes

characteristic

110

C₂×C₄⋊Q₈

C₄×C₁₉

yes

characteristic

111

#497

—

112

#494

C₄×C₁₉

yes

characteristic

113

#494

C₂²×C₁₉

yes

characteristic

114

#492

C₄×C₁₉

yes

characteristic

115

#492

C₂²×C₁₉

yes

characteristic

116

C₄×M₁₆

C₂²×C₁₉

yes

characteristic

117

#364

C₂²×C₁₉

yes

—

118

#349

—

119

#347

—

120

C₂×C₁₉

—

121

C₂×C₁₉

—

122

C₂×C₁₉

—

123

C₂×C₁₉

#1555

yes

characteristic

124

C₂×#41

—

125

C₂²×Q₈

—

126

#137

—

127

C₂×Q₁₆

—

128

C₂×Q₁₆

—

129

C₂×SD₁₆

—

130

C₂×SD₁₆

—

131

C₂×M₁₆

D₄×C₁₉

yes

—

132

C₄⋊Q₈

—

133

C₄⋊Q₈

—

134

C₄⋊Q₈

C₂×C₄×C₁₉

yes

characteristic

135

C₄⋊Q₈

C₂×C₄×C₁₉

yes

characteristic

136

C₄⋊Q₈

C₂×C₄×C₁₉

yes

characteristic

137

#127

C₂×C₄×C₁₉

yes

characteristic

138

#124

—

139

#121

—

140

C₄×D₄

—

141

C₂×C₄⋊C₄

—

142

C₂×C₄²

C₂×C₄×C₁₉

yes

characteristic

143

M₃₂

—

144

#97

D₄×C₁₉

yes

—

145

C₄×C₈

C₂×C₄×C₁₉

yes

characteristic

146

C₄×C₈

C₂³×C₁₉

yes

characteristic

147

C₁₉

#11993

yes

characteristic, direct product factor, Sylow

148

#41

—

149

C₂×Q₈

—

150

C₂×Q₈

—

151

C₂×Q₈

—

152

C₂×Q₈

—

153

C₂×Q₈

—

154

C₂×D₄

—

155

C₂×D₄

—

156

C₂×D₄

—

157

C₂²×C₄

—

158

C₂²×C₄

—

159

C₂²×C₄

—

160

C₂²×C₄

C₂²⋊C₄×C₁₉

yes

characteristic

161

Q₁₆

—

162

Q₁₆

—

163

SD₁₆

—

164

SD₁₆

—

165

M₁₆

—

166

C₂×C₈

C₂²⋊C₄×C₁₉

yes

—

167

C₂×C₈

C₂×D₄×C₁₉

yes

—

168

C₄⋊C₄

—

169

C₄⋊C₄

—

170

C₄⋊C₄

—

171

C₄⋊C₄

—

172

C₂²⋊C₄

—

173

C₄²

—

174

C₄²

C₂²⋊C₄×C₁₉

yes

characteristic

175

C₄²

C₂²×C₄×C₁₉

yes

characteristic

176

C₁₆

—

177

C₂³

—

178

C₂³

C₁₉×#100

yes

characteristic

179

Q₈

—

180

Q₈

—

181

Q₈

—

182

Q₈

—

183

D₄

—

184

D₄

—

185

D₄

—

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

—

195

C₂×C₄

C₁₉×#100

yes

characteristic

196

C₂×C₄

C₂×C₂²⋊C₄×C₁₉

yes

characteristic

197

C₈

—

198

C₈

C₁₉×AGL(1,ℤ/8)

yes

—

199

C₂²

—

200

C₂²

—

201

C₂²

—

202

C₂²

—

203

C₂²

C₂×C₁₉×#100

yes

characteristic

204

C₄

—

205

C₄

—

206

C₄

—

207

C₄

—

208

C₄

—

209

C₄

—

210

C₄

C₁₉×#418

yes

—

211

C₂

—

212

C₂

—

213

C₂

—

214

C₂

C₁₉×#1555

yes

characteristic

	subgroup	G/H
center, socle	C₂×C₁₉	#1555
commutator	C₄²	C₂²×C₄×C₁₉
Frattini, cosocle	C₄×C₈	C₂³×C₁₉
prime radical	C₁₉×#532	C₄
LCS	G ▷ C₄² ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₁₉ ◁ C₂×C₄×C₁₉ ◁ C₄×M₁₆×C₁₉ ◁ G

subgroup

G/H

center, socle

C₂×C₁₉

#1555

commutator

C₄²

C₂²×C₄×C₁₉

Frattini, cosocle

C₄×C₈

C₂³×C₁₉

prime radical

C₁₉×#532

C₄

LCS

G ▷ C₄² ▷ C₂×C₄ ▷ C₂ ▷ C₁

UCS

C₁ ◁ C₂×C₁₉ ◁ C₂×C₄×C₁₉ ◁ C₄×M₁₆×C₁₉ ◁ G

N	H ≅ G/N	type
2. C₁₉×#2165	C₂	semidirect
3. C₁₉×#1359	C₂	semidirect
4. C₁₉×#1358	C₂	semidirect
69. #11993	C₁₉	direct (N × H)
93. #2165	C₂×C₁₉	semidirect
94. #1359	C₂×C₁₉	semidirect
95. #1358	C₂×C₁₉	semidirect
147. C₁₉	#11993	direct (N × H)

H ≅ G/N

type

2. C₁₉×#2165

C₂

semidirect

3. C₁₉×#1359

C₂

semidirect

4. C₁₉×#1358

C₂

semidirect

69. #11993

C₁₉

direct (N × H)

93. #2165

C₂×C₁₉

semidirect

94. #1359

C₂×C₁₉

semidirect

95. #1358

C₂×C₁₉

semidirect

147. C₁₉

#11993

direct (N × H)

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

subgroup	index
C₁₉×#3152	2
C₁₉×#2165	2
C₁₉×#1359	2
C₁₉×#1358	2
#11993	19

subgroup

index

C₁₉×#3152

C₁₉×#2165

C₁₉×#1359

C₁₉×#1358

#11993

Subgroups — C₁₉×#11993 #18017952

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C19×#11993 #18017952

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#11993 #18017952