Group #14575290 — subgroups

Subgroups — #14575290

Order 2432.

476 conjugacy classes of subgroups; only the 121 normal subgroups are shown.

normal subgroups only

This group has 476 conjugacy classes of subgroups — too many to draw. Only its 121 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×#10597361	C₂	1	2	yes	maximal, complemented
2	#11927202	C₂	1	2	yes	maximal, complemented
3	#11926787	C₂	1	2	yes	maximal, complemented
4	#11926763	C₂	1	2	yes	maximal, complemented
5	#11926698	C₂	1	2	yes	maximal, complemented
6	#11926686	C₂	1	2	yes	maximal, complemented
7	C₄×Dic₇₆	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926623	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#495	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×Q₈×D₁₉	C₂²	1	2	yes	—
11	C₂×#64543	C₂²	1	2	yes	—
12	C₂×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
13	C₂×SD₁₆×C₁₉	C₂²	1	2	yes	—
14	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic
15	C₁₉×#124	C₂²	1	2	yes	—
16	#10597392	C₂²	1	2	yes	—
17	C₂×#64528	C₂²	1	2	yes	—
18	#10597384	C₂²	1	2	yes	—
19	C₂×#64526	C₂²	1	2	yes	—
20	#10597361	—	2	8	no	—
21	C₂×Dic₇₆	C₂²	1	1	yes	characteristic
22	C₂×#64515	C₂²	1	2	yes	—
23	#10597331	—	2	2	no	—
24	#10597330	—	2	2	no	—
25	(C₂²⋊D₁₉)⋊C₄	—	2	2	no	—
26	#10597324	—	2	2	no	—
27	C₄×D₇₆	C₂²	1	1	yes	characteristic
28	C₄×Dic₃₈	C₂²	1	2	yes	—
29	C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
30	#10597292	C₂²	1	2	yes	—
31	#10597289	C₂²	1	2	yes	—
32	(C₂×D₁₉)⋊C₈	C₂²	1	2	yes	—
33	#10597275	C₂²	1	1	yes	characteristic
34	#10597273	C₂²	1	2	yes	—
35	C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
36	C₂×Q₈×C₁₉	C₂³	1	2	yes	—
37	C₂×D₄×C₁₉	C₂³	1	2	yes	—
38	C₂×C₂²⋊D₁₉	—	2	2	no	—
39	C₂×C₂²⋊D₁₉	—	2	2	no	—
40	C₂²×Dic₁₉	—	2	2	no	—
41	Q₈×D₁₉	—	2	4	no	—
42	Q₈×D₁₉	—	4	2	no	—
43	#64543	—	2	4	no	—
44	#64543	—	4	2	no	—
45	C₂×D₇₆	D₄	1	1	yes	characteristic
46	C₂×C₄×D₁₉	—	2	2	no	—
47	C₂×C₄×D₁₉	C₂³	1	2	yes	—
48	C₂×Dic₃₈	—	2	2	no	—
49	C₂×Dic₃₈	C₂³	1	2	yes	—
50	Q₁₆×C₁₉	—	4	1	no	—
51	SD₁₆×C₁₉	—	2	4	no	—
52	D₈×C₁₉	—	4	1	no	—
53	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
54	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
55	C₂²⋊C₄×C₁₉	—	2	2	no	—
56	C₂²⋊C₄×C₁₉	—	2	2	no	—
57	C₄²×C₁₉	C₂³	1	1	yes	characteristic
58	C₂²⋊Dic₁₉	—	2	2	no	—
59	#64528	—	2	4	no	—
60	#64526	—	2	4	no	—
61	(C₂×D₁₉)⋊C₄	—	2	2	no	—
62	(C₂×D₁₉)⋊C₄	D₄	1	2	yes	—
63	C₄⋊Dic₁₉	D₄	1	1	yes	characteristic
64	C₄⋊Dic₁₉	C₂³	1	2	yes	—
65	Dic₁₉⋊C₄	—	2	2	no	—
66	Dic₁₉⋊C₄	—	2	2	no	—
67	C₄×Dic₁₉	—	2	2	no	—
68	C₂×C₁₉⋊C₈	C₂³	1	2	yes	—
69	Dic₇₆	D₄	1	4	yes	complemented
70	#64515	—	2	4	no	—
71	C₂³×C₁₉	—	2	2	no	—
72	C₂²×D₁₉	C₂×D₄	1	2	yes	—
73	Q₈×C₁₉	—	2	2	no	—
74	Q₈×C₁₉	—	2	2	no	—
75	D₄×C₁₉	—	2	2	no	—
76	D₄×C₁₉	—	2	2	no	—
77	C₂×C₄×C₁₉	—	2	2	no	—
78	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
79	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
80	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
81	C₂²⋊D₁₉	—	4	4	no	—
82	C₂²⋊D₁₉	—	4	4	no	—
83	C₂×Dic₁₉	—	2	2	no	—
84	C₂×Dic₁₉	—	2	2	no	—
85	C₂×Dic₁₉	—	4	4	no	—
86	C₂×Dic₁₉	C₂×D₄	1	2	yes	—
87	D₇₆	—	4	1	no	—
88	C₄×D₁₉	—	2	2	no	—
89	C₄×D₁₉	—	2	2	no	—
90	C₄×D₁₉	—	4	4	no	—
91	Dic₃₈	—	2	2	no	—
92	Dic₃₈	—	4	4	no	—
93	Dic₃₈	C₂×D₄	1	4	yes	—
94	C₈×C₁₉	—	2	1	no	—
95	C₈×C₁₉	C₂×D₄	1	2	yes	—
96	C₁₉⋊C₈	—	2	2	no	—
97	#3277	—	19	1	no	maximal, Sylow
98	C₂²×C₁₉	—	4	2	no	—
99	C₂²×C₁₉	—	4	2	no	—
100	C₂²×C₁₉	—	4	2	no	—
101	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
102	C₂×D₁₉	—	2	2	no	—
103	C₂×D₁₉	—	2	2	no	—
104	C₂×D₁₉	—	2	2	no	—
105	C₄×C₁₉	—	2	1	no	—
106	C₄×C₁₉	—	2	1	no	—
107	C₄×C₁₉	—	4	2	no	—
108	C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
109	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
110	Dic₁₉	—	2	4	no	—
111	Dic₁₉	—	2	2	no	—
112	Dic₁₉	—	4	2	no	—
113	C₂×#137	—	19	2	no	—
114	#548	—	19	2	no	—
115	#495	D₁₉	1	1	yes	characteristic, complemented
116	#468	—	19	2	no	—
117	#464	—	19	2	no	—
118	#451	—	19	2	no	—
119	#449	—	19	2	no	—
120	C₄×Q₁₆	—	19	1	no	—
121	#436	—	19	1	no	—
122	C₂×C₁₉	—	8	2	no	—
123	C₂×C₁₉	D₄²	1	1	yes	characteristic
124	C₂×C₁₉	#575	1	1	yes	characteristic
125	C₂×C₁₉	#578	1	1	yes	characteristic
126	D₁₉	—	4	2	no	—
127	C₂×#41	—	19	2	no	—
128	C₂²×Q₈	—	19	2	no	—
129	#137	—	38	8	no	—
130	C₂×Q₁₆	—	19	2	no	—
131	C₂×Q₁₆	—	19	1	no	—
132	C₂×Q₁₆	C₂×D₁₉	1	1	yes	characteristic
133	C₂×SD₁₆	—	19	2	no	—
134	C₂×SD₁₆	C₂×D₁₉	1	2	yes	—
135	C₂×D₈	C₂×D₁₉	1	1	yes	characteristic
136	C₂×M₁₆	—	19	2	no	—
137	#124	—	38	2	no	—
138	#124	C₂×D₁₉	1	2	yes	—
139	C₂²⋊Q₈	—	19	2	no	—
140	C₂²⋊Q₈	—	38	2	no	—
141	#121	—	19	2	no	—
142	#121	—	38	2	no	—
143	C₄×Q₈	—	19	2	no	—
144	C₄×D₄	—	19	1	no	—
145	C₄×D₄	—	38	2	no	—
146	#107	—	19	1	no	—
147	C₄⋊C₈	—	19	1	no	—
148	#103	—	19	2	no	—
149	#103	—	19	2	no	—
150	#102	—	19	2	no	—
151	C₂²⋊C₈	—	19	2	no	—
152	C₄×C₈	C₂×D₁₉	1	1	yes	characteristic
153	C₁₉	#3277	1	1	yes	characteristic, complemented, Sylow
154	#41	—	38	4	no	—
155	#41	—	76	2	no	—
156	C₂×Q₈	—	19	2	no	—
157	C₂×Q₈	—	38	2	no	—
158	C₂×Q₈	—	38	4	no	—
159	C₂×Q₈	—	76	2	no	—
160	C₂×Q₈	C₂²×D₁₉	1	2	yes	—
161	C₂×D₄	—	19	1	no	—
162	C₂×D₄	—	38	2	no	—
163	C₂×D₄	—	38	2	no	—
164	C₂×D₄	C₂²×D₁₉	1	2	yes	—
165	C₂²×C₄	—	19	2	no	—
166	C₂²×C₄	—	38	2	no	—
167	C₂²×C₄	—	38	2	no	—
168	Q₁₆	—	4	1	no	—
169	Q₁₆	—	19	4	no	—
170	Q₁₆	—	38	4	no	—
171	SD₁₆	—	2	4	no	—
172	SD₁₆	—	38	4	no	—
173	D₈	—	4	1	no	—
174	M₁₆	—	38	4	no	—
175	C₂×C₈	—	19	2	no	—
176	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
177	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
178	C₄⋊C₄	—	19	1	no	—
179	C₄⋊C₄	—	19	2	no	—
180	C₄⋊C₄	—	38	2	no	—
181	C₄⋊C₄	—	38	2	no	—
182	C₂²⋊C₄	—	2	2	no	—
183	C₂²⋊C₄	—	2	2	no	—
184	C₂²⋊C₄	—	19	2	no	—
185	C₂²⋊C₄	—	38	2	no	—
186	C₂²⋊C₄	—	38	2	no	—
187	C₄²	—	38	2	no	—
188	C₄²	C₂²×D₁₉	1	1	yes	characteristic
189	C₂³	—	2	2	no	—
190	C₂³	—	19	2	no	—
191	Q₈	—	2	2	no	—
192	Q₈	—	2	2	no	—
193	Q₈	—	19	4	no	—
194	Q₈	—	38	2	no	—
195	Q₈	—	76	4	no	—
196	D₄	—	2	2	no	—
197	D₄	—	2	2	no	—
198	D₄	—	76	1	no	—
199	D₄	—	76	4	no	—
200	D₄	—	76	4	no	—
201	C₂×C₄	—	2	2	no	—
202	C₂×C₄	—	19	2	no	—
203	C₂×C₄	—	38	2	no	—
204	C₂×C₄	—	38	2	no	—
205	C₂×C₄	—	38	2	no	—
206	C₂×C₄	—	38	2	no	—
207	C₂×C₄	—	76	4	no	—
208	C₂×C₄	—	76	4	no	—
209	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
210	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
211	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
212	C₈	—	2	1	no	—
213	C₈	—	38	2	no	—
214	C₈	D₄×D₁₉	1	2	yes	—
215	C₂²	—	4	2	no	—
216	C₂²	—	4	2	no	—
217	C₂²	—	4	2	no	—
218	C₂²	—	38	2	no	—
219	C₂²	—	38	2	no	—
220	C₂²	—	38	2	no	—
221	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
222	C₄	—	2	1	no	—
223	C₄	—	2	1	no	—
224	C₄	—	4	2	no	—
225	C₄	—	38	2	no	—
226	C₄	—	38	4	no	—
227	C₄	—	76	2	no	—
228	C₄	C₂×D₄×D₁₉	1	1	yes	characteristic
229	C₄	#10597430	1	1	yes	characteristic
230	C₂	—	8	2	no	—
231	C₂	—	76	2	no	—
232	C₂	#11927179	1	1	yes	characteristic
233	C₂	#11927341	1	1	yes	characteristic
234	C₂	#11927358	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#10597361

C₂

yes

maximal, complemented

#11927202

C₂

yes

maximal, complemented

#11926787

C₂

yes

maximal, complemented

#11926763

C₂

yes

maximal, complemented

#11926698

C₂

yes

maximal, complemented

#11926686

C₂

yes

maximal, complemented

C₄×Dic₇₆

C₂

yes

maximal, characteristic, complemented

#11926623

C₂

yes

maximal, characteristic, complemented

C₁₉×#495

C₂

yes

maximal, characteristic, complemented

C₂×Q₈×D₁₉

C₂²

yes

—

C₂×#64543

C₂²

yes

—

C₂×Q₁₆×C₁₉

C₂²

yes

characteristic

C₂×SD₁₆×C₁₉

C₂²

yes

—

C₂×D₈×C₁₉

C₂²

yes

characteristic

C₁₉×#124

C₂²

yes

—

#10597392

C₂²

yes

—

C₂×#64528

C₂²

yes

—

#10597384

C₂²

yes

—

C₂×#64526

C₂²

yes

—

#10597361

—

C₂×Dic₇₆

C₂²

yes

characteristic

C₂×#64515

C₂²

yes

—

#10597331

—

#10597330

—

(C₂²⋊D₁₉)⋊C₄

—

#10597324

—

C₄×D₇₆

C₂²

yes

characteristic

C₄×Dic₃₈

C₂²

yes

—

C₄×C₈×C₁₉

C₂²

yes

characteristic

#10597292

C₂²

yes

—

#10597289

C₂²

yes

—

(C₂×D₁₉)⋊C₈

C₂²

yes

—

#10597275

C₂²

yes

characteristic

#10597273

C₂²

yes

—

C₄⋊(C₁₉⋊C₈)

C₂²

yes

characteristic

C₂×Q₈×C₁₉

C₂³

yes

—

C₂×D₄×C₁₉

C₂³

yes

—

C₂×C₂²⋊D₁₉

—

C₂×C₂²⋊D₁₉

—

C₂²×Dic₁₉

—

Q₈×D₁₉

—

Q₈×D₁₉

—

#64543

—

#64543

—

C₂×D₇₆

D₄

yes

characteristic

C₂×C₄×D₁₉

—

C₂×C₄×D₁₉

C₂³

yes

—

C₂×Dic₃₈

—

C₂×Dic₃₈

C₂³

yes

—

Q₁₆×C₁₉

—

SD₁₆×C₁₉

—

D₈×C₁₉

—

C₂×C₈×C₁₉

C₂³

yes

characteristic

C₂×C₈×C₁₉

C₂³

yes

characteristic

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

C₂³

yes

characteristic

C₂²⋊Dic₁₉

—

#64528

—

#64526

—

(C₂×D₁₉)⋊C₄

—

(C₂×D₁₉)⋊C₄

D₄

yes

—

C₄⋊Dic₁₉

D₄

yes

characteristic

C₄⋊Dic₁₉

C₂³

yes

—

Dic₁₉⋊C₄

—

Dic₁₉⋊C₄

—

C₄×Dic₁₉

—

C₂×C₁₉⋊C₈

C₂³

yes

—

Dic₇₆

D₄

yes

complemented

#64515

—

C₂³×C₁₉

—

C₂²×D₁₉

C₂×D₄

yes

—

Q₈×C₁₉

—

Q₈×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂⁴

yes

characteristic

C₂²⋊D₁₉

—

C₂²⋊D₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

C₂×D₄

yes

—

D₇₆

—

C₄×D₁₉

—

C₄×D₁₉

—

C₄×D₁₉

—

Dic₃₈

—

Dic₃₈

—

Dic₃₈

C₂×D₄

yes

—

C₈×C₁₉

—

C₈×C₁₉

C₂×D₄

yes

—

C₁₉⋊C₈

—

#3277

—

maximal, Sylow

C₂²×C₁₉

—

C₂²×C₁₉

—

100

C₂²×C₁₉

—

101

C₂²×C₁₉

C₂²×D₄

yes

characteristic

102

C₂×D₁₉

—

103

C₂×D₁₉

—

104

C₂×D₁₉

—

105

C₄×C₁₉

—

106

C₄×C₁₉

—

107

C₄×C₁₉

—

108

C₄×C₁₉

C₂²×D₄

yes

characteristic

109

C₄×C₁₉

H(5,𝔽₂)

yes

characteristic

110

Dic₁₉

—

111

Dic₁₉

—

112

Dic₁₉

—

113

C₂×#137

—

114

#548

—

115

#495

D₁₉

yes

characteristic, complemented

116

#468

—

117

#464

—

118

#451

—

119

#449

—

120

C₄×Q₁₆

—

121

#436

—

122

C₂×C₁₉

—

123

C₂×C₁₉

D₄²

yes

characteristic

124

C₂×C₁₉

#575

yes

characteristic

125

C₂×C₁₉

#578

yes

characteristic

126

D₁₉

—

127

C₂×#41

—

128

C₂²×Q₈

—

129

#137

—

130

C₂×Q₁₆

—

131

C₂×Q₁₆

—

132

C₂×Q₁₆

C₂×D₁₉

yes

characteristic

133

C₂×SD₁₆

—

134

C₂×SD₁₆

C₂×D₁₉

yes

—

135

C₂×D₈

C₂×D₁₉

yes

characteristic

136

C₂×M₁₆

—

137

#124

—

138

#124

C₂×D₁₉

yes

—

139

C₂²⋊Q₈

—

140

C₂²⋊Q₈

—

141

#121

—

142

#121

—

143

C₄×Q₈

—

144

C₄×D₄

—

145

C₄×D₄

—

146

#107

—

147

C₄⋊C₈

—

148

#103

—

149

#103

—

150

#102

—

151

C₂²⋊C₈

—

152

C₄×C₈

C₂×D₁₉

yes

characteristic

153

C₁₉

#3277

yes

characteristic, complemented, Sylow

154

#41

—

155

#41

—

156

C₂×Q₈

—

157

C₂×Q₈

—

158

C₂×Q₈

—

159

C₂×Q₈

—

160

C₂×Q₈

C₂²×D₁₉

yes

—

161

C₂×D₄

—

162

C₂×D₄

—

163

C₂×D₄

—

164

C₂×D₄

C₂²×D₁₉

yes

—

165

C₂²×C₄

—

166

C₂²×C₄

—

167

C₂²×C₄

—

168

Q₁₆

—

169

Q₁₆

—

170

Q₁₆

—

171

SD₁₆

—

172

SD₁₆

—

173

D₈

—

174

M₁₆

—

175

C₂×C₈

—

176

C₂×C₈

C₂²×D₁₉

yes

characteristic

177

C₂×C₈

C₂²×D₁₉

yes

characteristic

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₄⋊C₄

—

182

C₂²⋊C₄

—

183

C₂²⋊C₄

—

184

C₂²⋊C₄

—

185

C₂²⋊C₄

—

186

C₂²⋊C₄

—

187

C₄²

—

188

C₄²

C₂²×D₁₉

yes

characteristic

189

C₂³

—

190

C₂³

—

191

Q₈

—

192

Q₈

—

193

Q₈

—

194

Q₈

—

195

Q₈

—

196

D₄

—

197

D₄

—

198

D₄

—

199

D₄

—

200

D₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

—

207

C₂×C₄

—

208

C₂×C₄

—

209

C₂×C₄

D₄×D₁₉

yes

characteristic

210

C₂×C₄

D₄×D₁₉

yes

characteristic

211

C₂×C₄

C₂³×D₁₉

yes

characteristic

212

C₈

—

213

C₈

—

214

C₈

D₄×D₁₉

yes

—

215

C₂²

—

216

C₂²

—

217

C₂²

—

218

C₂²

—

219

C₂²

—

220

C₂²

—

221

C₂²

C₂×D₄×D₁₉

yes

characteristic

222

C₄

—

223

C₄

—

224

C₄

—

225

C₄

—

226

C₄

—

227

C₄

—

228

C₄

C₂×D₄×D₁₉

yes

characteristic

229

C₄

#10597430

yes

characteristic

230

C₂

—

231

C₂

—

232

C₂

#11927179

yes

characteristic

233

C₂

#11927341

yes

characteristic

234

C₂

#11927358

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting	C₁₉×#495	C₂
socle	C₂²×C₁₉	C₂²×D₄
hypercenter	#495	D₁₉
hypocenter	C₁₉	#3277
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #495

subgroup

G/H

center

C₂²

C₂×D₄×D₁₉

commutator, cosocle

C₂×C₄×C₁₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₁₉

Fitting

C₁₉×#495

C₂

socle

C₂²×C₁₉

C₂²×D₄

D₁₉

C₁₉

G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #495

N	H ≅ G/N	type
1. C₂×#10597361	C₂	semidirect
2. #11927202	C₂	semidirect
3. #11926787	C₂	semidirect
4. #11926763	C₂	semidirect
5. #11926698	C₂	semidirect
6. #11926686	C₂	semidirect
7. C₄×Dic₇₆	C₂	semidirect
8. #11926623	C₂	semidirect
9. C₁₉×#495	C₂	semidirect
69. Dic₇₆	D₄	semidirect
115. #495	D₁₉	semidirect
153. C₁₉	#3277	semidirect

H ≅ G/N

type

1. C₂×#10597361

C₂

semidirect

2. #11927202

C₂

semidirect

3. #11926787

C₂

semidirect

4. #11926763

C₂

semidirect

5. #11926698

C₂

semidirect

6. #11926686

C₂

semidirect

7. C₄×Dic₇₆

C₂

semidirect

8. #11926623

C₂

semidirect

9. C₁₉×#495

C₂

semidirect

69. Dic₇₆

D₄

semidirect

115. #495

D₁₉

semidirect

153. C₁₉

#3277

semidirect

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

subgroup	index
C₂×#10597361	2
#11927202	2
#11926787	2
#11926763	2
#11926698	2
#11926686	2
C₄×Dic₇₆	2
#11926623	2
C₁₉×#495	2
#3277	19

subgroup

index

C₄×Dic₇₆

C₁₉×#495

Subgroups — #14575290

Conjugacy classes of subgroups

Complements

Maximal subgroups