Group #18016244 — subgroups

Subgroups — C₁₉×#10285 #18016244

Order 4864.

542 conjugacy classes of subgroups; only the 130 normal subgroups are shown.

normal subgroups only

This group has 542 conjugacy classes of subgroups — too many to draw. Only its 130 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×#3227	C₂	1	2	yes	maximal
2	C₁₉×#2862	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#1962	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1549	C₂	1	2	yes	maximal, complemented
5	C₁₉×#1276	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#532	C₂²	1	1	yes	characteristic
7	C₂×C₁₉×C₄⋊Q₈	C₂²	1	2	yes	—
8	C₁₉×#498	—	2	2	no	—
9	C₁₉×#486	—	2	2	no	—
10	C₁₉×#481	—	2	4	no	—
11	C₁₉×#476	—	2	4	no	—
12	C₁₉×#431	C₂²	1	2	yes	—
13	C₁₉×#423	C₂²	1	1	yes	characteristic
14	C₂×C₁₉×#104	—	2	2	no	—
15	C₁₉×#391	—	2	4	no	—
16	C₁₉×#382	—	2	2	no	—
17	C₄³×C₁₉	C₂²	1	1	yes	characteristic
18	C₁₉×#332	—	2	4	no	—
19	C₂×#41×C₁₉	—	2	1	no	—
20	C₂²×Q₈×C₁₉	—	2	2	no	—
21	C₂×M₁₆×C₁₉	—	2	1	no	—
22	C₁₉×C₄⋊Q₈	—	2	2	no	—
23	C₁₉×C₄⋊Q₈	—	2	2	no	—
24	C₁₉×C₄⋊Q₈	—	2	2	no	—
25	C₁₉×C₄⋊Q₈	—	2	2	no	—
26	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
27	C₁₉×#127	D₄	1	1	yes	characteristic
28	C₁₉×#124	—	2	1	no	—
29	C₁₉×#121	—	2	2	no	—
30	C₄×D₄×C₁₉	—	2	2	no	—
31	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
32	C₂×C₄⋊C₄×C₁₉	D₄	1	4	yes	—
33	C₂×C₄²×C₁₉	—	2	2	no	—
34	C₂×C₄²×C₁₉	D₄	1	2	yes	—
35	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
36	C₁₉×#106	—	2	8	no	—
37	C₁₉×C₄⋊C₈	—	2	2	no	—
38	C₁₉×C₄⋊C₈	D₄	1	4	yes	—
39	C₁₉×#104	—	4	4	no	—
40	C₁₉×#102	—	2	8	no	—
41	C₁₉×C₂²⋊C₈	—	2	2	no	—
42	C₄×C₈×C₁₉	—	2	2	no	—
43	C₁₉×#95	—	2	8	no	—
44	#41×C₁₉	—	4	2	no	—
45	#41×C₁₉	—	4	2	no	—
46	C₂×Q₈×C₁₉	—	2	1	no	—
47	C₂×Q₈×C₁₉	—	4	8	no	—
48	C₂×Q₈×C₁₉	—	4	2	no	—
49	C₂×Q₈×C₁₉	—	4	2	no	—
50	C₂×D₄×C₁₉	—	2	2	no	—
51	C₂×D₄×C₁₉	—	2	1	no	—
52	C₂×D₄×C₁₉	—	4	1	no	—
53	C₂²×C₄×C₁₉	—	2	2	no	—
54	C₂²×C₄×C₁₉	—	2	4	no	—
55	C₂²×C₄×C₁₉	—	4	1	no	—
56	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
57	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
58	M₁₆×C₁₉	—	4	2	no	—
59	C₂×C₈×C₁₉	—	2	4	no	—
60	C₂×C₈×C₁₉	—	4	1	no	—
61	C₄⋊C₄×C₁₉	—	2	4	no	—
62	C₄⋊C₄×C₁₉	—	2	2	no	—
63	C₄⋊C₄×C₁₉	—	2	4	no	—
64	C₄⋊C₄×C₁₉	—	4	2	no	—
65	C₄⋊C₄×C₁₉	—	4	2	no	—
66	C₂²⋊C₄×C₁₉	—	4	2	no	—
67	C₄²×C₁₉	—	2	2	no	—
68	C₄²×C₁₉	—	4	4	no	—
69	C₄²×C₁₉	SD₁₆	1	4	yes	—
70	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
71	C₄²×C₁₉	C₂×D₄	1	2	yes	—
72	C₄²×C₁₉	#41	1	1	yes	characteristic
73	#10285	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
74	C₂³×C₁₉	—	4	1	no	—
75	C₂³×C₁₉	#120	1	1	yes	characteristic
76	Q₈×C₁₉	—	4	2	no	—
77	Q₈×C₁₉	—	8	4	no	—
78	Q₈×C₁₉	—	8	4	no	—
79	D₄×C₁₉	—	4	4	no	—
80	D₄×C₁₉	—	4	2	no	—
81	D₄×C₁₉	—	8	2	no	—
82	C₂×C₄×C₁₉	—	2	4	no	—
83	C₂×C₄×C₁₉	—	2	4	no	—
84	C₂×C₄×C₁₉	—	4	4	no	—
85	C₂×C₄×C₁₉	—	4	8	no	—
86	C₂×C₄×C₁₉	—	4	1	no	—
87	C₂×C₄×C₁₉	—	4	4	no	—
88	C₂×C₄×C₁₉	—	8	1	no	—
89	C₂×C₄×C₁₉	—	8	1	no	—
90	C₂×C₄×C₁₉	#120	1	2	yes	—
91	C₂×C₄×C₁₉	#121	1	2	yes	—
92	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
93	C₂×C₄×C₁₉	#127	1	1	yes	characteristic
94	C₂×C₄×C₁₉	C₂×SD₁₆	1	2	yes	—
95	C₂×C₄×C₁₉	#137	1	2	yes	—
96	C₈×C₁₉	—	4	4	no	—
97	C₈×C₁₉	—	8	1	no	—
98	#3227	C₂×C₁₉	1	2	yes	—
99	#2862	C₂×C₁₉	1	1	yes	characteristic, complemented
100	#1962	C₂×C₁₉	1	1	yes	characteristic
101	#1549	C₂×C₁₉	1	2	yes	complemented
102	#1276	C₂×C₁₉	1	1	yes	characteristic, complemented
103	C₂²×C₁₉	—	2	2	no	—
104	C₂²×C₁₉	—	8	2	no	—
105	C₂²×C₁₉	—	8	1	no	—
106	C₂²×C₁₉	#392	1	1	yes	characteristic
107	C₂²×C₁₉	#448	1	2	yes	—
108	C₄×C₁₉	—	2	2	no	—
109	C₄×C₁₉	—	4	4	no	—
110	C₄×C₁₉	—	8	4	no	—
111	C₄×C₁₉	—	8	1	no	—
112	C₄×C₁₉	#454	1	4	yes	—
113	C₄×C₁₉	#461	1	2	yes	—
114	C₄×C₁₉	#492	1	1	yes	characteristic
115	C₄×C₁₉	#497	1	1	yes	characteristic
116	#532	C₂²×C₁₉	1	1	yes	characteristic
117	C₂×C₄⋊Q₈	C₂²×C₁₉	1	2	yes	—
118	#498	—	2	2	no	—
119	#486	—	2	2	no	—
120	#481	—	2	4	no	—
121	#476	—	2	4	no	—
122	#431	C₂²×C₁₉	1	2	yes	—
123	#423	C₂²×C₁₉	1	1	yes	characteristic
124	C₂×#104	—	2	2	no	—
125	#391	—	2	4	no	—
126	#382	—	2	2	no	—
127	C₄³	C₂²×C₁₉	1	1	yes	characteristic
128	#332	—	2	4	no	—
129	C₂×C₁₉	—	2	2	no	—
130	C₂×C₁₉	—	16	1	no	—
131	C₂×C₁₉	#2003	1	2	yes	—
132	C₂×C₁₉	#2013	1	1	yes	characteristic
133	C₂×#41	—	2	1	no	—
134	C₂²×Q₈	—	2	2	no	—
135	C₂×M₁₆	—	2	1	no	—
136	C₄⋊Q₈	—	2	2	no	—
137	C₄⋊Q₈	—	2	2	no	—
138	C₄⋊Q₈	—	2	2	no	—
139	C₄⋊Q₈	—	2	2	no	—
140	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
141	#127	D₄×C₁₉	1	1	yes	characteristic
142	#124	—	2	1	no	—
143	#121	—	2	2	no	—
144	C₄×D₄	—	2	2	no	—
145	C₂×C₄⋊C₄	—	2	2	no	—
146	C₂×C₄⋊C₄	D₄×C₁₉	1	4	yes	—
147	C₂×C₄²	—	2	2	no	—
148	C₂×C₄²	D₄×C₁₉	1	2	yes	—
149	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
150	#106	—	2	8	no	—
151	C₄⋊C₈	—	2	2	no	—
152	C₄⋊C₈	D₄×C₁₉	1	4	yes	—
153	#104	—	4	4	no	—
154	#102	—	2	8	no	—
155	C₂²⋊C₈	—	2	2	no	—
156	C₄×C₈	—	2	2	no	—
157	#95	—	2	8	no	—
158	C₁₉	#10285	1	1	yes	characteristic, direct product factor, Sylow
159	#41	—	4	2	no	—
160	#41	—	4	2	no	—
161	C₂×Q₈	—	2	1	no	—
162	C₂×Q₈	—	4	8	no	—
163	C₂×Q₈	—	4	2	no	—
164	C₂×Q₈	—	4	2	no	—
165	C₂×D₄	—	2	2	no	—
166	C₂×D₄	—	2	1	no	—
167	C₂×D₄	—	4	1	no	—
168	C₂²×C₄	—	2	2	no	—
169	C₂²×C₄	—	2	4	no	—
170	C₂²×C₄	—	4	1	no	—
171	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
172	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
173	M₁₆	—	4	2	no	—
174	C₂×C₈	—	2	4	no	—
175	C₂×C₈	—	4	1	no	—
176	C₄⋊C₄	—	2	4	no	—
177	C₄⋊C₄	—	2	2	no	—
178	C₄⋊C₄	—	2	4	no	—
179	C₄⋊C₄	—	4	2	no	—
180	C₄⋊C₄	—	4	2	no	—
181	C₂²⋊C₄	—	4	2	no	—
182	C₄²	—	2	2	no	—
183	C₄²	—	4	4	no	—
184	C₄²	SD₁₆×C₁₉	1	4	yes	—
185	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
186	C₄²	C₂×D₄×C₁₉	1	2	yes	—
187	C₄²	#41×C₁₉	1	1	yes	characteristic
188	C₂³	—	4	1	no	—
189	C₂³	C₁₉×#120	1	1	yes	characteristic
190	Q₈	—	4	2	no	—
191	Q₈	—	8	4	no	—
192	Q₈	—	8	4	no	—
193	D₄	—	4	4	no	—
194	D₄	—	4	2	no	—
195	D₄	—	8	2	no	—
196	C₂×C₄	—	2	4	no	—
197	C₂×C₄	—	2	4	no	—
198	C₂×C₄	—	4	4	no	—
199	C₂×C₄	—	4	8	no	—
200	C₂×C₄	—	4	1	no	—
201	C₂×C₄	—	4	4	no	—
202	C₂×C₄	—	8	1	no	—
203	C₂×C₄	—	8	1	no	—
204	C₂×C₄	C₁₉×#120	1	2	yes	—
205	C₂×C₄	C₁₉×#121	1	2	yes	—
206	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
207	C₂×C₄	C₁₉×#127	1	1	yes	characteristic
208	C₂×C₄	C₂×SD₁₆×C₁₉	1	2	yes	—
209	C₂×C₄	C₁₉×#137	1	2	yes	—
210	C₈	—	4	4	no	—
211	C₈	—	8	1	no	—
212	C₂²	—	2	2	no	—
213	C₂²	—	8	2	no	—
214	C₂²	—	8	1	no	—
215	C₂²	C₁₉×#392	1	1	yes	characteristic
216	C₂²	C₁₉×#448	1	2	yes	—
217	C₄	—	2	2	no	—
218	C₄	—	4	4	no	—
219	C₄	—	8	4	no	—
220	C₄	—	8	1	no	—
221	C₄	C₁₉×#454	1	4	yes	—
222	C₄	C₁₉×#461	1	2	yes	—
223	C₄	C₁₉×#492	1	1	yes	characteristic
224	C₄	C₁₉×#497	1	1	yes	characteristic
225	C₂	—	2	2	no	—
226	C₂	—	16	1	no	—
227	C₂	C₁₉×#2003	1	2	yes	—
228	C₂	C₁₉×#2013	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₁₉×#3227

C₂

yes

maximal

C₁₉×#2862

C₂

yes

maximal, characteristic, complemented

C₁₉×#1962

C₂

yes

maximal, characteristic

C₁₉×#1549

C₂

yes

maximal, complemented

C₁₉×#1276

C₂

yes

maximal, characteristic, complemented

C₁₉×#532

C₂²

yes

characteristic

C₂×C₁₉×C₄⋊Q₈

C₂²

yes

—

C₁₉×#498

—

C₁₉×#486

—

C₁₉×#481

—

C₁₉×#476

—

C₁₉×#431

C₂²

yes

—

C₁₉×#423

C₂²

yes

characteristic

C₂×C₁₉×#104

—

C₁₉×#391

—

C₁₉×#382

—

C₄³×C₁₉

C₂²

yes

characteristic

C₁₉×#332

—

C₂×#41×C₁₉

—

C₂²×Q₈×C₁₉

—

C₂×M₁₆×C₁₉

—

C₁₉×C₄⋊Q₈

—

C₁₉×C₄⋊Q₈

—

C₁₉×C₄⋊Q₈

—

C₁₉×C₄⋊Q₈

—

C₁₉×C₄⋊Q₈

D₄

yes

characteristic

C₁₉×#127

D₄

yes

characteristic

C₁₉×#124

—

C₁₉×#121

—

C₄×D₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

D₄

yes

—

C₂×C₄²×C₁₉

—

C₂×C₄²×C₁₉

D₄

yes

—

C₂×C₄²×C₁₉

C₂³

yes

characteristic

C₁₉×#106

—

C₁₉×C₄⋊C₈

—

C₁₉×C₄⋊C₈

D₄

yes

—

C₁₉×#104

—

C₁₉×#102

—

C₁₉×C₂²⋊C₈

—

C₄×C₈×C₁₉

—

C₁₉×#95

—

#41×C₁₉

—

#41×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

C₂×D₄

yes

—

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

M₁₆×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

SD₁₆

yes

—

C₄²×C₁₉

C₂×D₄

yes

characteristic

C₄²×C₁₉

C₂×D₄

yes

—

C₄²×C₁₉

#41

yes

characteristic

#10285

C₁₉

yes

maximal, characteristic, direct product factor, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

#120

yes

characteristic

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

#120

yes

—

C₂×C₄×C₁₉

#121

yes

—

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

C₂×SD₁₆

yes

—

C₂×C₄×C₁₉

#137

yes

—

C₈×C₁₉

—

C₈×C₁₉

—

#3227

C₂×C₁₉

yes

—

#2862

C₂×C₁₉

yes

characteristic, complemented

100

#1962

C₂×C₁₉

yes

characteristic

101

#1549

C₂×C₁₉

yes

complemented

102

#1276

C₂×C₁₉

yes

characteristic, complemented

103

C₂²×C₁₉

—

104

C₂²×C₁₉

—

105

C₂²×C₁₉

—

106

C₂²×C₁₉

#392

yes

characteristic

107

C₂²×C₁₉

#448

yes

—

108

C₄×C₁₉

—

109

C₄×C₁₉

—

110

C₄×C₁₉

—

111

C₄×C₁₉

—

112

C₄×C₁₉

#454

yes

—

113

C₄×C₁₉

#461

yes

—

114

C₄×C₁₉

#492

yes

characteristic

115

C₄×C₁₉

#497

yes

characteristic

116

#532

C₂²×C₁₉

yes

characteristic

117

C₂×C₄⋊Q₈

C₂²×C₁₉

yes

—

118

#498

—

119

#486

—

120

#481

—

121

#476

—

122

#431

C₂²×C₁₉

yes

—

123

#423

C₂²×C₁₉

yes

characteristic

124

C₂×#104

—

125

#391

—

126

#382

—

127

C₄³

C₂²×C₁₉

yes

characteristic

128

#332

—

129

C₂×C₁₉

—

130

C₂×C₁₉

—

131

C₂×C₁₉

#2003

yes

—

132

C₂×C₁₉

#2013

yes

characteristic

133

C₂×#41

—

134

C₂²×Q₈

—

135

C₂×M₁₆

—

136

C₄⋊Q₈

—

137

C₄⋊Q₈

—

138

C₄⋊Q₈

—

139

C₄⋊Q₈

—

140

C₄⋊Q₈

D₄×C₁₉

yes

characteristic

141

#127

D₄×C₁₉

yes

characteristic

142

#124

—

143

#121

—

144

C₄×D₄

—

145

C₂×C₄⋊C₄

—

146

C₂×C₄⋊C₄

D₄×C₁₉

yes

—

147

C₂×C₄²

—

148

C₂×C₄²

D₄×C₁₉

yes

—

149

C₂×C₄²

C₂³×C₁₉

yes

characteristic

150

#106

—

151

C₄⋊C₈

—

152

C₄⋊C₈

D₄×C₁₉

yes

—

153

#104

—

154

#102

—

155

C₂²⋊C₈

—

156

C₄×C₈

—

157

#95

—

158

C₁₉

#10285

yes

characteristic, direct product factor, Sylow

159

#41

—

160

#41

—

161

C₂×Q₈

—

162

C₂×Q₈

—

163

C₂×Q₈

—

164

C₂×Q₈

—

165

C₂×D₄

—

166

C₂×D₄

—

167

C₂×D₄

—

168

C₂²×C₄

—

169

C₂²×C₄

—

170

C₂²×C₄

—

171

C₂²×C₄

C₂×D₄×C₁₉

yes

—

172

C₂²×C₄

C₂×D₄×C₁₉

yes

characteristic

173

M₁₆

—

174

C₂×C₈

—

175

C₂×C₈

—

176

C₄⋊C₄

—

177

C₄⋊C₄

—

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₂²⋊C₄

—

182

C₄²

—

183

C₄²

—

184

C₄²

SD₁₆×C₁₉

yes

—

185

C₄²

C₂×D₄×C₁₉

yes

characteristic

186

C₄²

C₂×D₄×C₁₉

yes

—

187

C₄²

#41×C₁₉

yes

characteristic

188

C₂³

—

189

C₂³

C₁₉×#120

yes

characteristic

190

Q₈

—

191

Q₈

—

192

Q₈

—

193

D₄

—

194

D₄

—

195

D₄

—

196

C₂×C₄

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

C₁₉×#120

yes

—

205

C₂×C₄

C₁₉×#121

yes

—

206

C₂×C₄

C₁₉×#121

yes

characteristic

207

C₂×C₄

C₁₉×#127

yes

characteristic

208

C₂×C₄

C₂×SD₁₆×C₁₉

yes

—

209

C₂×C₄

C₁₉×#137

yes

—

210

C₈

—

211

C₈

—

212

C₂²

—

213

C₂²

—

214

C₂²

—

215

C₂²

C₁₉×#392

yes

characteristic

216

C₂²

C₁₉×#448

yes

—

217

C₄

—

218

C₄

—

219

C₄

—

220

C₄

—

221

C₄

C₁₉×#454

yes

—

222

C₄

C₁₉×#461

yes

—

223

C₄

C₁₉×#492

yes

characteristic

224

C₄

C₁₉×#497

yes

characteristic

225

C₂

—

226

C₂

—

227

C₂

C₁₉×#2003

yes

—

228

C₂

C₁₉×#2013

yes

characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#392
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₁₉×#532	C₂²
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ G

subgroup

G/H

center, socle

C₂²×C₁₉

#392

commutator, Frattini, cosocle

C₂×C₄²

C₂³×C₁₉

prime radical

C₁₉×#532

C₂²

LCS

G ▷ C₂×C₄² ▷ C₂² ▷ C₁

UCS

C₁ ◁ C₂²×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ G

N	H ≅ G/N	type
2. C₁₉×#2862	C₂	semidirect
4. C₁₉×#1549	C₂	semidirect
5. C₁₉×#1276	C₂	semidirect
73. #10285	C₁₉	direct (N × H)
99. #2862	C₂×C₁₉	semidirect
101. #1549	C₂×C₁₉	semidirect
102. #1276	C₂×C₁₉	semidirect
158. C₁₉	#10285	direct (N × H)

H ≅ G/N

type

2. C₁₉×#2862

C₂

semidirect

4. C₁₉×#1549

C₂

semidirect

5. C₁₉×#1276

C₂

semidirect

73. #10285

C₁₉

direct (N × H)

99. #2862

C₂×C₁₉

semidirect

101. #1549

C₂×C₁₉

semidirect

102. #1276

C₂×C₁₉

semidirect

158. C₁₉

#10285

direct (N × H)

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

subgroup	index
C₁₉×#3227	2
C₁₉×#2862	2
C₁₉×#1962	2
C₁₉×#1549	2
C₁₉×#1276	2
#10285	19

subgroup

index

C₁₉×#3227

C₁₉×#2862

C₁₉×#1962

C₁₉×#1549

C₁₉×#1276

#10285

Subgroups — C₁₉×#10285 #18016244

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C19×#10285 #18016244

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#10285 #18016244