Group #18069618 — subgroups

Subgroups — #18069618

Order 4864.

292 conjugacy classes of subgroups; only the 91 normal subgroups are shown.

normal subgroups only

This group has 292 conjugacy classes of subgroups — too many to draw. Only its 91 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×C₂²⋊(C₁₉⋊C₁₆)	C₂	1	1	yes	maximal, characteristic
2	#14563660	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#1810	C₂	1	1	yes	maximal, characteristic
4	C₂²×C₁₉⋊C₁₆	C₄	1	2	yes	complemented
5	C₂×#10597274	—	2	1	no	—
6	#11926404	—	2	1	no	—
7	C₂²⋊(C₁₉⋊C₁₆)	—	2	1	no	—
8	C₂²⋊(C₁₉⋊C₁₆)	—	2	1	no	—
9	#11926307	C₄	1	2	yes	—
10	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic
11	C₂×C₁₉×#108	—	2	1	no	—
12	C₁₉×#407	—	2	1	no	—
13	C₁₉×#341	C₄	1	2	yes	complemented
14	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
15	C₂×M₁₆×C₁₉	—	2	2	no	—
16	C₂²×C₈×C₁₉	—	4	2	no	—
17	C₂²×C₈×C₁₉	C₂×C₄	1	1	yes	characteristic
18	C₂²×C₈×C₁₉	C₂×C₄	1	1	yes	characteristic
19	C₂²×C₈×C₁₉	C₂×C₄	1	1	yes	characteristic
20	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
21	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
22	C₂²×C₈×C₁₉	Q₈	1	1	yes	characteristic
23	C₂×C₂²⋊Dic₁₉	—	4	1	no	—
24	C₂×C₄⋊Dic₁₉	—	2	2	no	—
25	C₁₉×#108	—	4	2	no	—
26	C₁₉×C₂²⋊C₈	—	4	1	no	—
27	C₁₉×C₂²⋊C₈	—	4	1	no	—
28	C₁₉⋊#95	—	4	1	no	—
29	#10597274	—	4	2	no	—
30	C₂×C₁₉⋊C₁₆	—	2	2	no	—
31	C₂×C₁₉⋊C₁₆	—	4	2	no	—
32	C₂⁴×C₁₉	SD₁₆	1	1	yes	characteristic
33	C₂²×C₄×C₁₉	—	4	1	no	—
34	C₂²×C₄×C₁₉	—	4	1	no	—
35	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
36	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
37	C₂²×C₄×C₁₉	C₄⋊C₄	1	1	yes	characteristic
38	C₂²×C₄×C₁₉	D₈	1	1	yes	characteristic
39	C₂²×C₄×C₁₉	SD₁₆	1	1	yes	characteristic
40	C₂²×C₄×C₁₉	Q₁₆	1	1	yes	characteristic
41	C₂²×Dic₁₉	—	4	2	no	—
42	M₁₆×C₁₉	—	4	2	no	—
43	M₁₆×C₁₉	—	4	2	no	—
44	C₂×C₈×C₁₉	—	2	2	no	—
45	C₂×C₈×C₁₉	—	2	2	no	—
46	C₂×C₈×C₁₉	—	2	2	no	—
47	C₂×C₈×C₁₉	—	4	1	no	—
48	C₂×C₈×C₁₉	—	4	1	no	—
49	C₂×C₈×C₁₉	—	4	1	no	—
50	C₂×C₈×C₁₉	—	4	2	no	—
51	C₂×C₈×C₁₉	C₄²	1	1	yes	characteristic
52	C₂×C₈×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
53	C₂×C₈×C₁₉	C₄⋊C₄	1	1	yes	characteristic
54	C₂×C₈×C₁₉	C₄⋊C₄	1	1	yes	characteristic
55	C₂²⋊Dic₁₉	—	8	2	no	—
56	C₄⋊Dic₁₉	—	4	2	no	—
57	C₄⋊Dic₁₉	—	4	2	no	—
58	C₁₉⋊C₁₆	—	4	2	no	—
59	#7232	—	19	1	no	maximal, Sylow
60	C₂³×C₁₉	—	2	2	no	—
61	C₂³×C₁₉	—	2	2	no	—
62	C₂³×C₁₉	—	4	1	no	—
63	C₂³×C₁₉	#102	1	1	yes	characteristic
64	C₂³×C₁₉	#103	1	1	yes	characteristic
65	C₂³×C₁₉	#106	1	1	yes	characteristic
66	C₂×C₄×C₁₉	—	2	1	no	—
67	C₂×C₄×C₁₉	—	2	1	no	—
68	C₂×C₄×C₁₉	—	2	1	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	—	4	1	no	—
73	C₂×C₄×C₁₉	—	4	1	no	—
74	C₂×C₄×C₁₉	—	4	1	no	—
75	C₂×C₄×C₁₉	#95	1	1	yes	characteristic
76	C₂×C₄×C₁₉	#102	1	1	yes	characteristic
77	C₂×C₄×C₁₉	#103	1	1	yes	characteristic
78	C₂×C₄×C₁₉	#107	1	1	yes	characteristic
79	C₂×Dic₁₉	—	8	2	no	—
80	C₂×Dic₁₉	—	8	2	no	—
81	C₂×Dic₁₉	—	8	2	no	—
82	C₈×C₁₉	—	2	1	no	—
83	C₈×C₁₉	—	2	1	no	—
84	C₈×C₁₉	—	2	1	no	—
85	C₈×C₁₉	—	8	2	no	—
86	C₈×C₁₉	#99	1	2	yes	—
87	C₂×C₂²⋊C₁₆	—	19	1	no	—
88	#1810	D₁₉	1	1	yes	characteristic
89	#1807	—	19	1	no	—
90	C₂²×C₁₉	—	2	1	no	—
91	C₂²×C₁₉	—	2	1	no	—
92	C₂²×C₁₉	—	2	1	no	—
93	C₂²×C₁₉	—	2	1	no	—
94	C₂²×C₁₉	—	2	1	no	—
95	C₂²×C₁₉	—	2	1	no	—
96	C₂²×C₁₉	—	2	1	no	—
97	C₂²×C₁₉	—	4	4	no	—
98	C₂²×C₁₉	#340	1	1	yes	characteristic
99	C₂²×C₁₉	#359	1	2	yes	—
100	C₂²×C₁₉	#365	1	2	yes	—
101	C₄×C₁₉	—	2	1	no	—
102	C₄×C₁₉	—	2	1	no	—
103	C₄×C₁₉	—	2	1	no	—
104	C₄×C₁₉	H(3,ℤ/4)	1	1	yes	characteristic
105	C₄×C₁₉	#342	1	1	yes	characteristic
106	Dic₁₉	—	16	2	no	—
107	C₂³×C₈	C₂×D₁₉	1	1	yes	characteristic
108	C₂²×C₁₆	—	19	2	no	—
109	C₂×#108	—	2	1	no	—
110	C₂×#106	—	38	1	no	—
111	#407	—	2	1	no	—
112	#380	—	38	1	no	—
113	C₂²⋊C₁₆	—	38	1	no	—
114	C₂²⋊C₁₆	—	38	1	no	—
115	#341	Dic₁₉	1	2	yes	complemented
116	#340	—	19	2	no	—
117	C₂×C₁₉	—	2	2	no	—
118	C₂×C₁₉	—	2	2	no	—
119	C₂×C₁₉	—	4	1	no	—
120	C₂×C₁₉	#1289	1	1	yes	characteristic
121	C₂×C₁₉	#1382	1	1	yes	characteristic
122	C₂×C₁₉	#1383	1	1	yes	characteristic
123	C₂³×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
124	C₂×M₁₆	—	2	2	no	—
125	C₂²×C₈	—	4	2	no	—
126	C₂²×C₈	Dic₃₈	1	1	yes	characteristic
127	C₂²×C₈	C₄×D₁₉	1	1	yes	characteristic
128	C₂²×C₈	C₄×D₁₉	1	1	yes	characteristic
129	C₂²×C₈	D₇₆	1	1	yes	characteristic
130	C₂²×C₈	C₂×Dic₁₉	1	1	yes	characteristic
131	C₂²×C₈	C₂²⋊D₁₉	1	1	yes	characteristic
132	C₂×C₄⋊C₄	—	38	2	no	—
133	C₂×C₂²⋊C₄	—	76	1	no	—
134	C₂×C₁₆	—	38	2	no	—
135	C₂×C₁₆	—	76	2	no	—
136	#108	—	4	2	no	—
137	#106	—	76	2	no	—
138	C₂²⋊C₈	—	4	1	no	—
139	C₂²⋊C₈	—	4	1	no	—
140	#95	—	76	1	no	—
141	C₁₉	#7232	1	1	yes	characteristic, complemented, Sylow
142	C₂⁴	#64527	1	1	yes	characteristic
143	C₂²×C₄	—	4	1	no	—
144	C₂²×C₄	—	4	1	no	—
145	C₂²×C₄	—	76	2	no	—
146	C₂²×C₄	Dic₁₉⋊C₄	1	1	yes	characteristic
147	C₂²×C₄	(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
148	C₂²×C₄	#64525	1	1	yes	characteristic
149	C₂²×C₄	#64526	1	1	yes	characteristic
150	C₂²×C₄	#64528	1	1	yes	characteristic
151	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
152	M₁₆	—	4	2	no	—
153	M₁₆	—	4	2	no	—
154	C₂×C₈	—	2	2	no	—
155	C₂×C₈	—	2	2	no	—
156	C₂×C₈	—	2	2	no	—
157	C₂×C₈	—	4	1	no	—
158	C₂×C₈	—	4	1	no	—
159	C₂×C₈	—	4	1	no	—
160	C₂×C₈	—	4	2	no	—
161	C₂×C₈	C₄×Dic₁₉	1	1	yes	characteristic
162	C₂×C₈	Dic₁₉⋊C₄	1	1	yes	characteristic
163	C₂×C₈	C₄⋊Dic₁₉	1	1	yes	characteristic
164	C₂×C₈	(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
165	C₄⋊C₄	—	76	2	no	—
166	C₄⋊C₄	—	76	2	no	—
167	C₂²⋊C₄	—	152	2	no	—
168	C₁₆	—	76	2	no	—
169	C₂³	—	2	2	no	—
170	C₂³	—	2	2	no	—
171	C₂³	—	4	1	no	—
172	C₂³	#10597265	1	1	yes	characteristic
173	C₂³	#10597266	1	1	yes	characteristic
174	C₂³	#10597292	1	1	yes	characteristic
175	C₂×C₄	—	2	1	no	—
176	C₂×C₄	—	2	1	no	—
177	C₂×C₄	—	2	1	no	—
178	C₂×C₄	—	2	1	no	—
179	C₂×C₄	—	2	1	no	—
180	C₂×C₄	—	2	1	no	—
181	C₂×C₄	—	4	1	no	—
182	C₂×C₄	—	4	1	no	—
183	C₂×C₄	—	4	1	no	—
184	C₂×C₄	—	152	2	no	—
185	C₂×C₄	—	152	2	no	—
186	C₂×C₄	—	152	2	no	—
187	C₂×C₄	#10597264	1	1	yes	characteristic
188	C₂×C₄	#10597267	1	1	yes	characteristic
189	C₂×C₄	C₁₉⋊#95	1	1	yes	characteristic
190	C₂×C₄	#10597289	1	1	yes	characteristic
191	C₈	—	2	1	no	—
192	C₈	—	2	1	no	—
193	C₈	—	2	1	no	—
194	C₈	—	8	2	no	—
195	C₈	#10597263	1	2	yes	—
196	C₂²	—	2	1	no	—
197	C₂²	—	2	1	no	—
198	C₂²	—	2	1	no	—
199	C₂²	—	2	1	no	—
200	C₂²	—	2	1	no	—
201	C₂²	—	2	1	no	—
202	C₂²	—	2	1	no	—
203	C₂²	—	4	4	no	—
204	C₂²	#11926306	1	1	yes	characteristic
205	C₂²	#11926350	1	2	yes	—
206	C₂²	#11926368	1	2	yes	—
207	C₄	—	2	1	no	—
208	C₄	—	2	1	no	—
209	C₄	—	2	1	no	—
210	C₄	—	304	2	no	—
211	C₄	#11926300	1	1	yes	characteristic
212	C₄	#11926310	1	1	yes	characteristic
213	C₂	—	2	2	no	—
214	C₂	—	2	2	no	—
215	C₂	—	4	1	no	—
216	C₂	#14561502	1	1	yes	characteristic
217	C₂	#14561732	1	1	yes	characteristic
218	C₂	#14561735	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×C₂²⋊(C₁₉⋊C₁₆)

C₂

yes

maximal, characteristic

#14563660

C₂

yes

maximal, characteristic

C₁₉×#1810

C₂

yes

maximal, characteristic

C₂²×C₁₉⋊C₁₆

C₄

yes

complemented

C₂×#10597274

—

#11926404

—

C₂²⋊(C₁₉⋊C₁₆)

—

C₂²⋊(C₁₉⋊C₁₆)

—

#11926307

C₄

yes

—

C₂³×C₈×C₁₉

C₂²

yes

characteristic

C₂×C₁₉×#108

—

C₁₉×#407

—

C₁₉×#341

C₄

yes

complemented

C₂³×C₄×C₁₉

D₄

yes

characteristic

C₂×M₁₆×C₁₉

—

C₂²×C₈×C₁₉

—

C₂²×C₈×C₁₉

C₂×C₄

yes

characteristic

C₂²×C₈×C₁₉

C₂×C₄

yes

characteristic

C₂²×C₈×C₁₉

C₂×C₄

yes

characteristic

C₂²×C₈×C₁₉

D₄

yes

characteristic

C₂²×C₈×C₁₉

D₄

yes

characteristic

C₂²×C₈×C₁₉

Q₈

yes

characteristic

C₂×C₂²⋊Dic₁₉

—

C₂×C₄⋊Dic₁₉

—

C₁₉×#108

—

C₁₉×C₂²⋊C₈

—

C₁₉×C₂²⋊C₈

—

C₁₉⋊#95

—

#10597274

—

C₂×C₁₉⋊C₁₆

—

C₂×C₁₉⋊C₁₆

—

C₂⁴×C₁₉

SD₁₆

yes

characteristic

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₁₉

C₄⋊C₄

yes

characteristic

C₂²×C₄×C₁₉

D₈

yes

characteristic

C₂²×C₄×C₁₉

SD₁₆

yes

characteristic

C₂²×C₄×C₁₉

Q₁₆

yes

characteristic

C₂²×Dic₁₉

—

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

—

C₂×C₈×C₁₉

C₄²

yes

characteristic

C₂×C₈×C₁₉

C₂²⋊C₄

yes

characteristic

C₂×C₈×C₁₉

C₄⋊C₄

yes

characteristic

C₂×C₈×C₁₉

C₄⋊C₄

yes

characteristic

C₂²⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₁₉⋊C₁₆

—

#7232

—

maximal, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

yes

C₂³×C₁₉

yes

C₂³×C₁₉

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

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₈×C₁₉

—

C₈×C₁₉

—

C₈×C₁₉

—

C₈×C₁₉

—

C₈×C₁₉

#99

yes

—

C₂×C₂²⋊C₁₆

—

#1810

D₁₉

yes

characteristic

#1807

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

#340

yes

characteristic

C₂²×C₁₉

#359

yes

—

100

C₂²×C₁₉

#365

yes

—

101

C₄×C₁₉

—

102

C₄×C₁₉

—

103

C₄×C₁₉

—

104

C₄×C₁₉

H(3,ℤ/4)

yes

characteristic

105

C₄×C₁₉

#342

yes

characteristic

106

Dic₁₉

—

107

C₂³×C₈

C₂×D₁₉

yes

characteristic

108

C₂²×C₁₆

—

109

C₂×#108

—

110

C₂×#106

—

111

#407

—

112

#380

—

113

C₂²⋊C₁₆

—

114

C₂²⋊C₁₆

—

115

#341

Dic₁₉

yes

complemented

116

#340

—

117

C₂×C₁₉

—

118

C₂×C₁₉

—

119

C₂×C₁₉

—

120

C₂×C₁₉

#1289

yes

characteristic

121

C₂×C₁₉

#1382

yes

characteristic

122

C₂×C₁₉

#1383

yes

characteristic

123

C₂³×C₄

C₂²⋊D₁₉

yes

characteristic

124

C₂×M₁₆

—

125

C₂²×C₈

—

126

C₂²×C₈

Dic₃₈

yes

characteristic

127

C₂²×C₈

C₄×D₁₉

yes

characteristic

128

C₂²×C₈

C₄×D₁₉

yes

characteristic

129

C₂²×C₈

D₇₆

yes

characteristic

130

C₂²×C₈

C₂×Dic₁₉

yes

characteristic

131

C₂²×C₈

C₂²⋊D₁₉

yes

characteristic

132

C₂×C₄⋊C₄

—

133

C₂×C₂²⋊C₄

—

134

C₂×C₁₆

—

135

C₂×C₁₆

—

136

#108

—

137

#106

—

138

C₂²⋊C₈

—

139

C₂²⋊C₈

—

140

#95

—

141

C₁₉

#7232

yes

characteristic, complemented, Sylow

142

C₂⁴

#64527

yes

characteristic

143

C₂²×C₄

—

144

C₂²×C₄

—

145

C₂²×C₄

—

146

C₂²×C₄

Dic₁₉⋊C₄

yes

characteristic

147

C₂²×C₄

(C₂×D₁₉)⋊C₄

yes

characteristic

148

C₂²×C₄

#64525

yes

characteristic

149

C₂²×C₄

#64526

yes

characteristic

150

C₂²×C₄

#64528

yes

characteristic

151

C₂²×C₄

C₂²⋊Dic₁₉

yes

characteristic

152

M₁₆

—

153

M₁₆

—

154

C₂×C₈

—

155

C₂×C₈

—

156

C₂×C₈

—

157

C₂×C₈

—

158

C₂×C₈

—

159

C₂×C₈

—

160

C₂×C₈

—

161

C₂×C₈

C₄×Dic₁₉

yes

characteristic

162

C₂×C₈

Dic₁₉⋊C₄

yes

characteristic

163

C₂×C₈

C₄⋊Dic₁₉

yes

characteristic

164

C₂×C₈

(C₂×D₁₉)⋊C₄

yes

characteristic

165

C₄⋊C₄

—

166

C₄⋊C₄

—

167

C₂²⋊C₄

—

152

—

168

C₁₆

—

169

C₂³

—

170

C₂³

—

171

C₂³

—

172

C₂³

#10597265

yes

characteristic

173

C₂³

#10597266

yes

characteristic

174

C₂³

#10597292

yes

characteristic

175

C₂×C₄

—

176

C₂×C₄

—

177

C₂×C₄

—

178

C₂×C₄

—

179

C₂×C₄

—

180

C₂×C₄

—

181

C₂×C₄

—

182

C₂×C₄

—

183

C₂×C₄

—

184

C₂×C₄

—

152

—

185

C₂×C₄

—

152

—

186

C₂×C₄

—

152

—

187

C₂×C₄

#10597264

yes

characteristic

188

C₂×C₄

#10597267

yes

characteristic

189

C₂×C₄

C₁₉⋊#95

yes

characteristic

190

C₂×C₄

#10597289

yes

characteristic

191

C₈

—

192

C₈

—

193

C₈

—

194

C₈

—

195

C₈

#10597263

yes

—

196

C₂²

—

197

C₂²

—

198

C₂²

—

199

C₂²

—

200

C₂²

—

201

C₂²

—

202

C₂²

—

203

C₂²

—

204

C₂²

#11926306

yes

characteristic

205

C₂²

#11926350

yes

—

206

C₂²

#11926368

yes

—

207

C₄

—

208

C₄

—

209

C₄

—

210

C₄

—

304

—

211

C₄

#11926300

yes

characteristic

212

C₄

#11926310

yes

characteristic

213

C₂

—

214

C₂

—

215

C₂

—

216

C₂

#14561502

yes

characteristic

217

C₂

#14561732

yes

characteristic

218

C₂

#14561735

yes

characteristic

	subgroup	G/H
center	C₂²	#11926306
commutator	C₂×C₈×C₁₉	C₄²
Frattini	C₂³×C₈	C₂×D₁₉
Fitting	C₁₉×#1810	C₂
socle	C₂²×C₁₉	#340
prime radical	C₂⁴×C₁₉	SD₁₆
cosocle	C₂³×C₈×C₁₉	C₂²
hypercenter	#1810	D₁₉
hypocenter	C₁₉	#7232
LCS	G ▷ C₂×C₈×C₁₉ ▷ C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂³×C₈ ◁ #1810

subgroup

G/H

center

C₂²

#11926306

commutator

C₂×C₈×C₁₉

C₄²

Frattini

C₂³×C₈

C₂×D₁₉

Fitting

C₁₉×#1810

C₂

socle

C₂²×C₁₉

#340

prime radical

C₂⁴×C₁₉

SD₁₆

cosocle

C₂³×C₈×C₁₉

C₂²

D₁₉

C₁₉

G ▷ C₂×C₈×C₁₉ ▷ C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂³×C₈ ◁ #1810

N	H ≅ G/N	type
4. C₂²×C₁₉⋊C₁₆	C₄	semidirect
13. C₁₉×#341	C₄	semidirect
115. #341	Dic₁₉	semidirect
141. C₁₉	#7232	semidirect

H ≅ G/N

type

4. C₂²×C₁₉⋊C₁₆

C₄

semidirect

13. C₁₉×#341

C₄

semidirect

115. #341

Dic₁₉

semidirect

141. C₁₉

#7232

semidirect

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

subgroup	index
C₂×C₂²⋊(C₁₉⋊C₁₆)	2
#14563660	2
C₁₉×#1810	2
#7232	19

subgroup

index

C₂×C₂²⋊(C₁₉⋊C₁₆)

#14563660

C₁₉×#1810

#7232

Subgroups — #18069618

Conjugacy classes of subgroups

Complements

Maximal subgroups