Group #18019390 — subgroups

Subgroups — C₁₉×#13431 #18019390

Order 4864.

402 conjugacy classes of subgroups; only the 86 normal subgroups are shown.

normal subgroups only

This group has 402 conjugacy classes of subgroups — too many to draw. Only its 86 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×#3202	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2135	C₂	1	2	yes	maximal
3	C₁₉×#1915	C₂	1	2	yes	maximal
4	C₁₉×#1858	C₂	1	1	yes	maximal, characteristic
5	C₁₉×#1392	C₂	1	1	yes	maximal, characteristic
6	C₁₉×#568	C₂²	1	1	yes	characteristic
7	C₁₉×#536	C₂²	1	2	yes	—
8	C₁₉×#485	—	2	2	no	—
9	C₁₉×#470	—	2	1	no	—
10	C₁₉×#467	—	2	1	no	—
11	C₁₉×#451	—	2	2	no	—
12	C₁₉×#430	—	2	1	no	—
13	C₁₉×#413	C₂²	1	2	yes	—
14	C₁₉×#413	C₂²	1	1	yes	characteristic
15	C₂×C₁₉×#101	—	2	2	no	—
16	C₁₉×#408	C₂²	1	1	yes	characteristic
17	C₁₉×#356	—	2	4	no	—
18	C₁₉×#344	—	2	2	no	—
19	C₁₉×#341	—	2	1	no	—
20	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
21	C₂²×Q₈×C₁₉	D₄	1	2	yes	—
22	C₂×Q₁₆×C₁₉	—	2	1	no	—
23	C₂×Q₁₆×C₁₉	—	2	1	no	—
24	C₁₉×#131	—	4	2	no	—
25	C₂×M₁₆×C₁₉	—	2	1	no	—
26	C₂×M₁₆×C₁₉	—	2	1	no	—
27	C₂×M₁₆×C₁₉	—	2	2	no	—
28	C₂×M₁₆×C₁₉	—	2	2	no	—
29	C₂×M₁₆×C₁₉	D₄	1	1	yes	characteristic
30	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
31	C₁₉×C₄⋊Q₈	—	2	2	no	—
32	C₁₉×#124	—	2	2	no	—
33	C₁₉×#123	—	2	2	no	—
34	C₁₉×#123	—	2	2	no	—
35	C₁₉×C₂²⋊Q₈	—	2	2	no	—
36	C₁₉×C₂²⋊Q₈	—	2	2	no	—
37	C₁₉×#117	D₄	1	2	yes	—
38	C₁₉×#108	—	4	2	no	—
39	C₁₉×#107	—	2	1	no	—
40	C₁₉×#106	—	2	1	no	—
41	C₁₉×#103	—	2	2	no	—
42	C₁₉×#103	—	2	2	no	—
43	C₁₉×#101	—	2	2	no	—
44	C₁₉×#101	—	4	4	no	—
45	C₁₉×#101	D₄	1	2	yes	—
46	C₁₉×#100	—	2	1	no	—
47	C₁₉×#100	—	2	2	no	—
48	C₁₉×C₂²⋊C₈	—	2	2	no	—
49	#41×C₁₉	—	4	1	no	—
50	#41×C₁₉	—	4	1	no	—
51	C₂×Q₈×C₁₉	—	2	2	no	—
52	C₂×Q₈×C₁₉	—	2	2	no	—
53	C₂×Q₈×C₁₉	—	4	2	no	—
54	C₂×Q₈×C₁₉	—	4	2	no	—
55	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
56	C₂×D₄×C₁₉	#41	1	1	yes	characteristic
57	C₂×D₄×C₁₉	#41	1	2	yes	—
58	C₂²×C₄×C₁₉	—	2	2	no	—
59	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
60	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
61	Q₁₆×C₁₉	—	8	1	no	—
62	Q₁₆×C₁₉	—	8	1	no	—
63	M₁₆×C₁₉	—	2	4	no	—
64	M₁₆×C₁₉	—	2	2	no	—
65	M₁₆×C₁₉	—	2	2	no	—
66	M₁₆×C₁₉	—	4	1	no	—
67	M₁₆×C₁₉	—	4	1	no	—
68	M₁₆×C₁₉	—	4	1	no	—
69	M₁₆×C₁₉	—	4	2	no	—
70	M₁₆×C₁₉	—	4	2	no	—
71	C₂×C₈×C₁₉	—	2	1	no	—
72	C₂×C₈×C₁₉	—	2	1	no	—
73	C₂×C₈×C₁₉	—	4	1	no	—
74	C₂×C₈×C₁₉	—	4	2	no	—
75	C₂×C₈×C₁₉	—	4	1	no	—
76	C₂×C₈×C₁₉	—	4	1	no	—
77	C₂×C₈×C₁₉	—	4	2	no	—
78	C₄⋊C₄×C₁₉	—	2	2	no	—
79	C₄⋊C₄×C₁₉	—	4	2	no	—
80	C₄⋊C₄×C₁₉	—	4	2	no	—
81	C₂²⋊C₄×C₁₉	—	2	2	no	—
82	C₂²⋊C₄×C₁₉	—	4	2	no	—
83	C₂²⋊C₄×C₁₉	—	4	2	no	—
84	C₄²×C₁₉	—	2	2	no	—
85	#13431	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
86	C₂³×C₁₉	#123	1	2	yes	—
87	C₂³×C₁₉	#124	1	1	yes	characteristic
88	Q₈×C₁₉	—	4	1	no	—
89	Q₈×C₁₉	—	4	2	no	—
90	Q₈×C₁₉	—	4	2	no	—
91	Q₈×C₁₉	—	8	2	no	—
92	D₄×C₁₉	—	4	1	no	—
93	D₄×C₁₉	—	4	2	no	—
94	C₂×C₄×C₁₉	—	2	1	no	—
95	C₂×C₄×C₁₉	—	2	2	no	—
96	C₂×C₄×C₁₉	—	2	1	no	—
97	C₂×C₄×C₁₉	—	2	2	no	—
98	C₂×C₄×C₁₉	—	4	4	no	—
99	C₂×C₄×C₁₉	—	4	2	no	—
100	C₂×C₄×C₁₉	—	4	2	no	—
101	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
102	C₂×C₄×C₁₉	#121	1	2	yes	—
103	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
104	C₈×C₁₉	—	4	2	no	—
105	C₈×C₁₉	—	4	1	no	—
106	C₈×C₁₉	—	4	2	no	—
107	C₈×C₁₉	—	4	1	no	—
108	C₈×C₁₉	—	8	2	no	—
109	#3202	C₂×C₁₉	1	1	yes	characteristic
110	#2135	C₂×C₁₉	1	2	yes	—
111	#1915	C₂×C₁₉	1	2	yes	—
112	#1858	C₂×C₁₉	1	1	yes	characteristic
113	#1392	C₂×C₁₉	1	1	yes	characteristic
114	C₂²×C₁₉	—	2	2	no	—
115	C₂²×C₁₉	—	2	1	no	—
116	C₂²×C₁₉	—	4	2	no	—
117	C₂²×C₁₉	—	4	1	no	—
118	C₂²×C₁₉	#394	1	1	yes	characteristic
119	C₄×C₁₉	—	2	1	no	—
120	C₄×C₁₉	—	2	2	no	—
121	C₄×C₁₉	—	8	2	no	—
122	C₄×C₁₉	—	8	2	no	—
123	C₄×C₁₉	B(4,𝔽₂)	1	1	yes	characteristic
124	C₄×C₁₉	#458	1	1	yes	characteristic
125	#568	C₂²×C₁₉	1	1	yes	characteristic
126	#536	C₂²×C₁₉	1	2	yes	—
127	#485	—	2	2	no	—
128	#470	—	2	1	no	—
129	#467	—	2	1	no	—
130	#451	—	2	2	no	—
131	#430	—	2	1	no	—
132	#413	C₂²×C₁₉	1	2	yes	—
133	#413	C₂²×C₁₉	1	1	yes	characteristic
134	C₂×#101	—	2	2	no	—
135	#408	C₂²×C₁₉	1	1	yes	characteristic
136	#356	—	2	4	no	—
137	#344	—	2	2	no	—
138	#341	—	2	1	no	—
139	C₂×C₁₉	—	2	1	no	—
140	C₂×C₁₉	—	4	2	no	—
141	C₂×C₁₉	—	4	1	no	—
142	C₂×C₁₉	#2044	1	1	yes	characteristic
143	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
144	C₂²×Q₈	D₄×C₁₉	1	2	yes	—
145	C₂×Q₁₆	—	2	1	no	—
146	C₂×Q₁₆	—	2	1	no	—
147	#131	—	4	2	no	—
148	C₂×M₁₆	—	2	1	no	—
149	C₂×M₁₆	—	2	2	no	—
150	C₂×M₁₆	—	2	1	no	—
151	C₂×M₁₆	—	2	2	no	—
152	C₂×M₁₆	D₄×C₁₉	1	1	yes	characteristic
153	C₂²×C₈	D₄×C₁₉	1	1	yes	characteristic
154	C₄⋊Q₈	—	2	2	no	—
155	#124	—	2	2	no	—
156	#123	—	2	2	no	—
157	#123	—	2	2	no	—
158	C₂²⋊Q₈	—	2	2	no	—
159	C₂²⋊Q₈	—	2	2	no	—
160	#117	D₄×C₁₉	1	2	yes	—
161	#108	—	4	2	no	—
162	#107	—	2	1	no	—
163	#106	—	2	1	no	—
164	#103	—	2	2	no	—
165	#103	—	2	2	no	—
166	#101	—	2	2	no	—
167	#101	—	4	4	no	—
168	#101	D₄×C₁₉	1	2	yes	—
169	#100	—	2	1	no	—
170	#100	—	2	2	no	—
171	C₂²⋊C₈	—	2	2	no	—
172	C₁₉	#13431	1	1	yes	characteristic, direct product factor, Sylow
173	#41	—	4	1	no	—
174	#41	—	4	1	no	—
175	C₂×Q₈	—	2	2	no	—
176	C₂×Q₈	—	2	2	no	—
177	C₂×Q₈	—	4	2	no	—
178	C₂×Q₈	—	4	2	no	—
179	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
180	C₂×D₄	#41×C₁₉	1	1	yes	characteristic
181	C₂×D₄	#41×C₁₉	1	2	yes	—
182	C₂²×C₄	—	2	2	no	—
183	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
184	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
185	Q₁₆	—	8	1	no	—
186	Q₁₆	—	8	1	no	—
187	M₁₆	—	2	4	no	—
188	M₁₆	—	2	2	no	—
189	M₁₆	—	2	2	no	—
190	M₁₆	—	4	1	no	—
191	M₁₆	—	4	1	no	—
192	M₁₆	—	4	1	no	—
193	M₁₆	—	4	2	no	—
194	M₁₆	—	4	2	no	—
195	C₂×C₈	—	2	1	no	—
196	C₂×C₈	—	2	1	no	—
197	C₂×C₈	—	4	1	no	—
198	C₂×C₈	—	4	1	no	—
199	C₂×C₈	—	4	2	no	—
200	C₂×C₈	—	4	1	no	—
201	C₂×C₈	—	4	2	no	—
202	C₄⋊C₄	—	2	2	no	—
203	C₄⋊C₄	—	4	2	no	—
204	C₄⋊C₄	—	4	2	no	—
205	C₂²⋊C₄	—	2	2	no	—
206	C₂²⋊C₄	—	4	2	no	—
207	C₂²⋊C₄	—	4	2	no	—
208	C₄²	—	2	2	no	—
209	C₂³	C₁₉×#123	1	2	yes	—
210	C₂³	C₁₉×#124	1	1	yes	characteristic
211	Q₈	—	4	1	no	—
212	Q₈	—	4	2	no	—
213	Q₈	—	4	2	no	—
214	Q₈	—	8	2	no	—
215	D₄	—	4	1	no	—
216	D₄	—	4	2	no	—
217	C₂×C₄	—	2	1	no	—
218	C₂×C₄	—	2	2	no	—
219	C₂×C₄	—	2	1	no	—
220	C₂×C₄	—	2	2	no	—
221	C₂×C₄	—	4	4	no	—
222	C₂×C₄	—	4	2	no	—
223	C₂×C₄	—	4	2	no	—
224	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
225	C₂×C₄	C₁₉×#121	1	2	yes	—
226	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
227	C₈	—	4	2	no	—
228	C₈	—	4	1	no	—
229	C₈	—	4	2	no	—
230	C₈	—	4	1	no	—
231	C₈	—	8	2	no	—
232	C₂²	—	2	2	no	—
233	C₂²	—	2	1	no	—
234	C₂²	—	4	2	no	—
235	C₂²	—	4	1	no	—
236	C₂²	C₁₉×#394	1	1	yes	characteristic
237	C₄	—	2	1	no	—
238	C₄	—	2	2	no	—
239	C₄	—	8	2	no	—
240	C₄	—	8	2	no	—
241	C₄	C₁₉×B(4,𝔽₂)	1	1	yes	characteristic
242	C₄	C₁₉×#458	1	1	yes	characteristic
243	C₂	—	2	1	no	—
244	C₂	—	4	2	no	—
245	C₂	—	4	1	no	—
246	C₂	C₁₉×#2044	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₁₉×#3202

C₂

yes

maximal, characteristic

C₁₉×#2135

C₂

yes

maximal

C₁₉×#1915

C₂

yes

maximal

C₁₉×#1858

C₂

yes

maximal, characteristic

C₁₉×#1392

C₂

yes

maximal, characteristic

C₁₉×#568

C₂²

yes

characteristic

C₁₉×#536

C₂²

yes

—

C₁₉×#485

—

C₁₉×#470

—

C₁₉×#467

—

C₁₉×#451

—

C₁₉×#430

—

C₁₉×#413

C₂²

yes

—

C₁₉×#413

C₂²

yes

characteristic

C₂×C₁₉×#101

—

C₁₉×#408

C₂²

yes

characteristic

C₁₉×#356

—

C₁₉×#344

—

C₁₉×#341

—

C₂×#41×C₁₉

C₂³

yes

characteristic

C₂²×Q₈×C₁₉

D₄

yes

—

C₂×Q₁₆×C₁₉

—

C₂×Q₁₆×C₁₉

—

C₁₉×#131

—

C₂×M₁₆×C₁₉

—

C₂×M₁₆×C₁₉

—

C₂×M₁₆×C₁₉

—

C₂×M₁₆×C₁₉

—

C₂×M₁₆×C₁₉

D₄

yes

characteristic

C₂²×C₈×C₁₉

D₄

yes

characteristic

C₁₉×C₄⋊Q₈

—

C₁₉×#124

—

C₁₉×#123

—

C₁₉×#123

—

C₁₉×C₂²⋊Q₈

—

C₁₉×C₂²⋊Q₈

—

C₁₉×#117

D₄

yes

—

C₁₉×#108

—

C₁₉×#107

—

C₁₉×#106

—

C₁₉×#103

—

C₁₉×#103

—

C₁₉×#101

—

C₁₉×#101

—

C₁₉×#101

D₄

yes

—

C₁₉×#100

—

C₁₉×#100

—

C₁₉×C₂²⋊C₈

—

#41×C₁₉

—

#41×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

C₂×D₄

yes

C₂×D₄×C₁₉

yes

C₂×D₄×C₁₉

yes

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂×D₄

yes

—

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

Q₁₆×C₁₉

—

Q₁₆×C₁₉

—

M₁₆×C₁₉

—

M₁₆×C₁₉

—

M₁₆×C₁₉

—

M₁₆×C₁₉

—

M₁₆×C₁₉

—

M₁₆×C₁₉

—

M₁₆×C₁₉

—

M₁₆×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

—

#13431

C₁₉

yes

maximal, characteristic, direct product factor, Sylow

C₂³×C₁₉

#123

yes

—

C₂³×C₁₉

#124

yes

characteristic

Q₈×C₁₉

—

Q₈×C₁₉

—

Q₈×C₁₉

—

Q₈×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

100

C₂×C₄×C₁₉

—

101

C₂×C₄×C₁₉

#120

yes

characteristic

102

C₂×C₄×C₁₉

#121

yes

—

103

C₂×C₄×C₁₉

#121

yes

characteristic

104

C₈×C₁₉

—

105

C₈×C₁₉

—

106

C₈×C₁₉

—

107

C₈×C₁₉

—

108

C₈×C₁₉

—

109

#3202

C₂×C₁₉

yes

characteristic

110

#2135

C₂×C₁₉

yes

—

111

#1915

C₂×C₁₉

yes

—

112

#1858

C₂×C₁₉

yes

characteristic

113

#1392

C₂×C₁₉

yes

characteristic

114

C₂²×C₁₉

—

115

C₂²×C₁₉

—

116

C₂²×C₁₉

—

117

C₂²×C₁₉

—

118

C₂²×C₁₉

#394

yes

characteristic

119

C₄×C₁₉

—

120

C₄×C₁₉

—

121

C₄×C₁₉

—

122

C₄×C₁₉

—

123

C₄×C₁₉

B(4,𝔽₂)

yes

characteristic

124

C₄×C₁₉

#458

yes

characteristic

125

#568

C₂²×C₁₉

yes

characteristic

126

#536

C₂²×C₁₉

yes

—

127

#485

—

128

#470

—

129

#467

—

130

#451

—

131

#430

—

132

#413

C₂²×C₁₉

yes

—

133

#413

C₂²×C₁₉

yes

characteristic

134

C₂×#101

—

135

#408

C₂²×C₁₉

yes

characteristic

136

#356

—

137

#344

—

138

#341

—

139

C₂×C₁₉

—

140

C₂×C₁₉

—

141

C₂×C₁₉

—

142

C₂×C₁₉

#2044

yes

characteristic

143

C₂×#41

C₂³×C₁₉

yes

characteristic

144

C₂²×Q₈

D₄×C₁₉

yes

—

145

C₂×Q₁₆

—

146

C₂×Q₁₆

—

147

#131

—

148

C₂×M₁₆

—

149

C₂×M₁₆

—

150

C₂×M₁₆

—

151

C₂×M₁₆

—

152

C₂×M₁₆

D₄×C₁₉

yes

characteristic

153

C₂²×C₈

D₄×C₁₉

yes

characteristic

154

C₄⋊Q₈

—

155

#124

—

156

#123

—

157

#123

—

158

C₂²⋊Q₈

—

159

C₂²⋊Q₈

—

160

#117

D₄×C₁₉

yes

—

161

#108

—

162

#107

—

163

#106

—

164

#103

—

165

#103

—

166

#101

—

167

#101

—

168

#101

D₄×C₁₉

yes

—

169

#100

—

170

#100

—

171

C₂²⋊C₈

—

172

C₁₉

#13431

yes

characteristic, direct product factor, Sylow

173

#41

—

174

#41

—

175

C₂×Q₈

—

176

C₂×Q₈

—

177

C₂×Q₈

—

178

C₂×Q₈

—

179

C₂×Q₈

C₂×D₄×C₁₉

yes

characteristic

180

C₂×D₄

#41×C₁₉

yes

characteristic

181

C₂×D₄

#41×C₁₉

yes

—

182

C₂²×C₄

—

183

C₂²×C₄

C₂×D₄×C₁₉

yes

—

184

C₂²×C₄

C₂×D₄×C₁₉

yes

characteristic

185

Q₁₆

—

186

Q₁₆

—

187

M₁₆

—

188

M₁₆

—

189

M₁₆

—

190

M₁₆

—

191

M₁₆

—

192

M₁₆

—

193

M₁₆

—

194

M₁₆

—

195

C₂×C₈

—

196

C₂×C₈

—

197

C₂×C₈

—

198

C₂×C₈

—

199

C₂×C₈

—

200

C₂×C₈

—

201

C₂×C₈

—

202

C₄⋊C₄

—

203

C₄⋊C₄

—

204

C₄⋊C₄

—

205

C₂²⋊C₄

—

206

C₂²⋊C₄

—

207

C₂²⋊C₄

—

208

C₄²

—

209

C₂³

C₁₉×#123

yes

—

210

C₂³

C₁₉×#124

yes

characteristic

211

Q₈

—

212

Q₈

—

213

Q₈

—

214

Q₈

—

215

D₄

—

216

D₄

—

217

C₂×C₄

—

218

C₂×C₄

—

219

C₂×C₄

—

220

C₂×C₄

—

221

C₂×C₄

—

222

C₂×C₄

—

223

C₂×C₄

—

224

C₂×C₄

C₁₉×#120

yes

characteristic

225

C₂×C₄

C₁₉×#121

yes

—

226

C₂×C₄

C₁₉×#121

yes

characteristic

227

C₈

—

228

C₈

—

229

C₈

—

230

C₈

—

231

C₈

—

232

C₂²

—

233

C₂²

—

234

C₂²

—

235

C₂²

—

236

C₂²

C₁₉×#394

yes

characteristic

237

C₄

—

238

C₄

—

239

C₄

—

240

C₄

—

241

C₄

C₁₉×B(4,𝔽₂)

yes

characteristic

242

C₄

C₁₉×#458

yes

characteristic

243

C₂

—

244

C₂

—

245

C₂

—

246

C₂

C₁₉×#2044

yes

characteristic

	subgroup	G/H
center, socle	C₂×C₁₉	#2044
commutator, Frattini, cosocle	C₂×#41	C₂³×C₁₉
prime radical	C₂×#41×C₁₉	C₂³
LCS	G ▷ C₂×#41 ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₁₉ ◁ C₂×C₄×C₁₉ ◁ C₂×#41×C₁₉ ◁ G

subgroup

G/H

center, socle

C₂×C₁₉

#2044

commutator, Frattini, cosocle

C₂×#41

C₂³×C₁₉

prime radical

C₂×#41×C₁₉

C₂³

LCS

G ▷ C₂×#41 ▷ C₂² ▷ C₂ ▷ C₁

UCS

C₁ ◁ C₂×C₁₉ ◁ C₂×C₄×C₁₉ ◁ C₂×#41×C₁₉ ◁ G

N	H ≅ G/N	type
85. #13431	C₁₉	direct (N × H)
172. C₁₉	#13431	direct (N × H)

H ≅ G/N

type

85. #13431

C₁₉

direct (N × H)

172. C₁₉

#13431

direct (N × H)

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

subgroup	index
C₁₉×#3202	2
C₁₉×#2135	2
C₁₉×#1915	2
C₁₉×#1858	2
C₁₉×#1392	2
#13431	19

subgroup

index

C₁₉×#3202

C₁₉×#2135

C₁₉×#1915

C₁₉×#1858

C₁₉×#1392

#13431

Subgroups — C₁₉×#13431 #18019390

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C19×#13431 #18019390

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#13431 #18019390