Group #14574556 — subgroups

Subgroups — #14574556

Order 2432.

428 conjugacy classes of subgroups; only the 125 normal subgroups are shown.

normal subgroups only

This group has 428 conjugacy classes of subgroups — too many to draw. Only its 125 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	#11927092	C₂	1	1	yes	maximal, characteristic
2	C₄⋊Q₈×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#11926916	C₂	1	1	yes	maximal, characteristic, complemented
4	#11926895	C₂	1	1	yes	maximal, characteristic, complemented
5	#11926894	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926747	C₂	1	4	yes	maximal, complemented
7	#11926681	C₂	1	4	yes	maximal, complemented
8	#11926595	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#492	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×Q₈×D₁₉	C₂²	1	2	yes	—
11	C₂×#64543	—	2	1	no	—
12	C₂×SD₁₆×C₁₉	C₂²	1	4	yes	—
13	C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
14	C₁₉×#127	C₂²	1	1	yes	characteristic
15	#10597390	C₂²	1	2	yes	—
16	#10597384	—	2	1	no	—
17	#10597384	C₂²	1	2	yes	—
18	#10597382	—	2	1	no	—
19	D₄×Dic₁₉	—	2	1	no	—
20	D₄×Dic₁₉	C₂²	1	2	yes	—
21	C₂×#64526	C₂²	1	4	yes	—
22	C₄⋊C₄×D₁₉	—	2	1	no	—
23	C₄⋊C₄×D₁₉	—	2	1	no	—
24	#10597334	—	2	1	no	—
25	#10597334	—	2	1	no	—
26	C₄²×D₁₉	C₂²	1	1	yes	characteristic
27	#10597315	C₂²	1	1	yes	characteristic
28	#10597315	C₂²	1	1	yes	characteristic
29	C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
30	#10597292	C₂²	1	4	yes	—
31	(C₂×D₁₉)⋊C₈	C₂²	1	2	yes	—
32	#10597273	C₂²	1	4	yes	—
33	Dic₁₉⋊C₈	C₂²	1	2	yes	—
34	C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
35	C₂×Q₈×C₁₉	C₂³	1	2	yes	—
36	C₂×D₄×C₁₉	—	2	1	no	—
37	C₂×D₄×C₁₉	—	2	1	no	—
38	C₂×D₄×C₁₉	C₂³	1	2	yes	—
39	C₂×C₂²⋊D₁₉	—	2	2	no	—
40	C₂²×Dic₁₉	—	2	2	no	—
41	Q₈×D₁₉	—	4	4	no	—
42	#64543	—	4	4	no	—
43	C₂×C₄×D₁₉	—	2	2	no	—
44	C₂×C₄×D₁₉	D₄	1	1	yes	characteristic
45	C₂×C₄×D₁₉	D₄	1	1	yes	characteristic
46	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
47	C₂×Dic₃₈	—	2	1	no	—
48	C₂×Dic₃₈	—	2	2	no	—
49	C₂×Dic₃₈	C₂³	1	2	yes	—
50	SD₁₆×C₁₉	—	4	4	no	—
51	C₂×C₈×C₁₉	C₂³	1	2	yes	—
52	C₄⋊C₄×C₁₉	—	2	1	no	—
53	C₄⋊C₄×C₁₉	—	2	1	no	—
54	C₄²×C₁₉	C₂³	1	1	yes	characteristic
55	C₂²⋊Dic₁₉	—	2	2	no	—
56	C₂²⋊Dic₁₉	—	2	2	no	—
57	#64526	—	4	4	no	—
58	C₄⋊Dic₁₉	—	2	1	no	—
59	C₄⋊Dic₁₉	—	2	1	no	—
60	C₄⋊Dic₁₉	—	2	1	no	—
61	C₄⋊Dic₁₉	C₂³	1	2	yes	—
62	Dic₁₉⋊C₄	—	2	2	no	—
63	Dic₁₉⋊C₄	—	2	2	no	—
64	C₄×Dic₁₉	D₄	1	1	yes	characteristic
65	C₄×Dic₁₉	D₄	1	1	yes	characteristic
66	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
67	C₂×C₁₉⋊C₈	C₂³	1	2	yes	—
68	C₂³×C₁₉	—	2	2	no	—
69	C₂²×D₁₉	C₂×D₄	1	1	yes	characteristic
70	Q₈×C₁₉	—	2	4	no	—
71	D₄×C₁₉	—	2	4	no	—
72	D₄×C₁₉	—	4	2	no	—
73	D₄×C₁₉	—	4	2	no	—
74	C₂×C₄×C₁₉	—	2	2	no	—
75	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
76	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
77	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
78	C₂²⋊D₁₉	—	4	4	no	—
79	C₂×Dic₁₉	—	2	2	no	—
80	C₂×Dic₁₉	—	2	2	no	—
81	C₂×Dic₁₉	—	4	4	no	—
82	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
83	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
84	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
85	C₄×D₁₉	—	2	2	no	—
86	C₄×D₁₉	—	2	2	no	—
87	C₄×D₁₉	—	4	4	no	—
88	C₄×D₁₉	SD₁₆	1	4	yes	complemented
89	Dic₃₈	—	2	4	no	—
90	Dic₃₈	—	4	4	no	—
91	Dic₃₈	—	4	2	no	—
92	C₈×C₁₉	—	2	2	no	—
93	C₁₉⋊C₈	—	2	2	no	—
94	#3206	—	19	1	no	maximal, Sylow
95	C₂²×C₁₉	—	4	2	no	—
96	C₂²×C₁₉	—	4	2	no	—
97	C₂²×C₁₉	—	4	2	no	—
98	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
99	C₂×D₁₉	—	2	1	no	—
100	C₂×D₁₉	—	2	1	no	—
101	C₂×D₁₉	C₂×SD₁₆	1	2	yes	—
102	C₄×C₁₉	—	4	2	no	—
103	C₄×C₁₉	C₂×SD₁₆	1	2	yes	—
104	C₄×C₁₉	#137	1	2	yes	—
105	C₄×C₁₉	H(5,𝔽₂)	1	2	yes	—
106	Dic₁₉	—	2	1	no	—
107	Dic₁₉	—	2	1	no	—
108	Dic₁₉	—	4	2	no	—
109	Dic₁₉	—	4	2	no	—
110	Dic₁₉	C₂×SD₁₆	1	2	yes	—
111	#532	—	19	1	no	—
112	C₂×C₄⋊Q₈	—	19	1	no	—
113	#492	—	19	1	no	—
114	#492	D₁₉	1	1	yes	characteristic, complemented
115	#487	—	19	1	no	—
116	#487	—	19	1	no	—
117	#461	—	19	4	no	—
118	#448	—	19	4	no	—
119	#431	—	19	1	no	—
120	C₂×C₁₉	—	8	2	no	—
121	C₂×C₁₉	#535	1	1	yes	characteristic
122	C₂×C₁₉	C₂²×SD₁₆	1	1	yes	characteristic
123	C₂×C₁₉	C₂×#137	1	1	yes	characteristic
124	D₁₉	—	2	2	no	—
125	C₂×#41	—	38	1	no	—
126	C₂²×Q₈	—	19	2	no	—
127	C₂×SD₁₆	—	19	4	no	—
128	C₂×SD₁₆	C₂×D₁₉	1	4	yes	—
129	C₄⋊Q₈	—	19	2	no	—
130	C₄⋊Q₈	—	19	1	no	—
131	C₄⋊Q₈	—	19	1	no	—
132	C₄⋊Q₈	—	38	1	no	—
133	C₄⋊Q₈	—	38	1	no	—
134	C₄⋊Q₈	C₂×D₁₉	1	1	yes	characteristic
135	#127	C₂×D₁₉	1	1	yes	characteristic
136	#124	—	38	1	no	—
137	#121	—	19	2	no	—
138	#121	—	38	1	no	—
139	C₄×D₄	—	19	2	no	—
140	C₄×D₄	—	38	1	no	—
141	C₂×C₄⋊C₄	—	38	1	no	—
142	C₂×C₄⋊C₄	—	38	1	no	—
143	C₂×C₄²	—	19	1	no	—
144	C₄⋊C₈	—	19	2	no	—
145	#103	—	19	4	no	—
146	#103	—	19	4	no	—
147	C₂²⋊C₈	—	19	2	no	—
148	C₄×C₈	—	19	1	no	—
149	C₄×C₈	C₂×D₁₉	1	1	yes	characteristic
150	C₁₉	#3206	1	1	yes	characteristic, complemented, Sylow
151	#41	—	76	4	no	—
152	C₂×Q₈	—	19	2	no	—
153	C₂×Q₈	—	38	2	no	—
154	C₂×Q₈	—	38	1	no	—
155	C₂×Q₈	—	76	4	no	—
156	C₂×Q₈	C₂²×D₁₉	1	2	yes	—
157	C₂×D₄	—	2	1	no	—
158	C₂×D₄	—	2	1	no	—
159	C₂×D₄	—	38	2	no	—
160	C₂×D₄	C₂²×D₁₉	1	2	yes	—
161	C₂²×C₄	—	19	1	no	—
162	C₂²×C₄	—	19	1	no	—
163	C₂²×C₄	—	19	1	no	—
164	C₂²×C₄	—	38	2	no	—
165	C₂²×C₄	—	38	2	no	—
166	SD₁₆	—	4	4	no	—
167	SD₁₆	—	76	4	no	—
168	C₂×C₈	—	19	2	no	—
169	C₂×C₈	C₂²×D₁₉	1	2	yes	—
170	C₄⋊C₄	—	2	1	no	—
171	C₄⋊C₄	—	2	1	no	—
172	C₄⋊C₄	—	19	2	no	—
173	C₄⋊C₄	—	38	2	no	—
174	C₄⋊C₄	—	38	2	no	—
175	C₄⋊C₄	—	38	1	no	—
176	C₄⋊C₄	—	38	1	no	—
177	C₄⋊C₄	—	38	1	no	—
178	C₂²⋊C₄	—	38	2	no	—
179	C₂²⋊C₄	—	38	2	no	—
180	C₄²	—	19	1	no	—
181	C₄²	—	19	1	no	—
182	C₄²	—	19	1	no	—
183	C₄²	C₂²×D₁₉	1	1	yes	characteristic
184	C₂³	—	2	2	no	—
185	C₂³	—	19	1	no	—
186	Q₈	—	2	4	no	—
187	Q₈	—	38	4	no	—
188	Q₈	—	76	4	no	—
189	Q₈	—	76	2	no	—
190	D₄	—	2	4	no	—
191	D₄	—	4	2	no	—
192	D₄	—	4	2	no	—
193	D₄	—	76	4	no	—
194	C₂×C₄	—	2	2	no	—
195	C₂×C₄	—	19	1	no	—
196	C₂×C₄	—	19	4	no	—
197	C₂×C₄	—	19	1	no	—
198	C₂×C₄	—	19	1	no	—
199	C₂×C₄	—	38	2	no	—
200	C₂×C₄	—	38	2	no	—
201	C₂×C₄	—	38	2	no	—
202	C₂×C₄	—	38	2	no	—
203	C₂×C₄	—	76	4	no	—
204	C₂×C₄	—	76	4	no	—
205	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
206	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
207	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
208	C₈	—	2	2	no	—
209	C₈	—	38	2	no	—
210	C₂²	—	4	2	no	—
211	C₂²	—	4	2	no	—
212	C₂²	—	4	2	no	—
213	C₂²	—	19	2	no	—
214	C₂²	—	38	1	no	—
215	C₂²	—	38	1	no	—
216	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
217	C₄	—	4	2	no	—
218	C₄	—	19	2	no	—
219	C₄	—	38	1	no	—
220	C₄	—	38	1	no	—
221	C₄	—	76	2	no	—
222	C₄	—	76	2	no	—
223	C₄	SD₁₆×D₁₉	1	2	yes	—
224	C₄	#10597361	1	2	yes	—
225	C₄	#10597430	1	2	yes	—
226	C₂	—	8	2	no	—
227	C₂	—	38	2	no	—
228	C₂	#11927107	1	1	yes	characteristic
229	C₂	C₂×SD₁₆×D₁₉	1	1	yes	characteristic
230	C₂	C₂×#10597361	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#11927092

C₂

yes

maximal, characteristic

C₄⋊Q₈×D₁₉

C₂

yes

maximal, characteristic, complemented

#11926916

C₂

yes

maximal, characteristic, complemented

#11926895

C₂

yes

maximal, characteristic, complemented

#11926894

C₂

yes

maximal, characteristic, complemented

#11926747

C₂

yes

maximal, complemented

#11926681

C₂

yes

maximal, complemented

#11926595

C₂

yes

maximal, characteristic, complemented

C₁₉×#492

C₂

yes

maximal, characteristic, complemented

C₂×Q₈×D₁₉

C₂²

yes

—

C₂×#64543

—

C₂×SD₁₆×C₁₉

C₂²

yes

—

C₁₉×C₄⋊Q₈

C₂²

yes

characteristic

C₁₉×#127

C₂²

yes

characteristic

#10597390

C₂²

yes

—

#10597384

—

#10597384

C₂²

yes

—

#10597382

—

D₄×Dic₁₉

—

D₄×Dic₁₉

C₂²

yes

—

C₂×#64526

C₂²

yes

—

C₄⋊C₄×D₁₉

—

C₄⋊C₄×D₁₉

—

#10597334

—

#10597334

—

C₄²×D₁₉

C₂²

yes

characteristic

#10597315

C₂²

yes

characteristic

#10597315

C₂²

yes

characteristic

C₄×C₈×C₁₉

C₂²

yes

characteristic

#10597292

C₂²

yes

—

(C₂×D₁₉)⋊C₈

C₂²

yes

—

#10597273

C₂²

yes

—

Dic₁₉⋊C₈

C₂²

yes

—

C₄×C₁₉⋊C₈

C₂²

yes

characteristic

C₂×Q₈×C₁₉

C₂³

yes

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

C₂³

yes

—

C₂×C₂²⋊D₁₉

—

C₂²×Dic₁₉

—

Q₈×D₁₉

—

#64543

—

C₂×C₄×D₁₉

—

C₂×C₄×D₁₉

D₄

yes

characteristic

C₂×C₄×D₁₉

D₄

yes

characteristic

C₂×C₄×D₁₉

C₂³

yes

characteristic

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

C₂³

yes

—

SD₁₆×C₁₉

—

C₂×C₈×C₁₉

C₂³

yes

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄²×C₁₉

C₂³

yes

characteristic

C₂²⋊Dic₁₉

—

C₂²⋊Dic₁₉

—

#64526

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

C₂³

yes

—

Dic₁₉⋊C₄

—

Dic₁₉⋊C₄

—

C₄×Dic₁₉

D₄

yes

characteristic

C₄×Dic₁₉

D₄

yes

characteristic

C₄×Dic₁₉

C₂³

yes

characteristic

C₂×C₁₉⋊C₈

C₂³

yes

—

C₂³×C₁₉

—

C₂²×D₁₉

C₂×D₄

yes

characteristic

Q₈×C₁₉

—

D₄×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

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

C₂×D₄

yes

characteristic

C₂×Dic₁₉

C₂×D₄

yes

characteristic

C₂×Dic₁₉

C₂×D₄

yes

characteristic

C₄×D₁₉

—

C₄×D₁₉

—

C₄×D₁₉

—

C₄×D₁₉

SD₁₆

yes

complemented

Dic₃₈

—

Dic₃₈

—

Dic₃₈

—

C₈×C₁₉

—

C₁₉⋊C₈

—

#3206

—

maximal, Sylow

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

C₂²×D₄

yes

characteristic

C₂×D₁₉

—

100

C₂×D₁₉

—

101

C₂×D₁₉

C₂×SD₁₆

yes

—

102

C₄×C₁₉

—

103

C₄×C₁₉

C₂×SD₁₆

yes

—

104

C₄×C₁₉

#137

yes

—

105

C₄×C₁₉

H(5,𝔽₂)

yes

—

106

Dic₁₉

—

107

Dic₁₉

—

108

Dic₁₉

—

109

Dic₁₉

—

110

Dic₁₉

C₂×SD₁₆

yes

—

111

#532

—

112

C₂×C₄⋊Q₈

—

113

#492

—

114

#492

D₁₉

yes

characteristic, complemented

115

#487

—

116

#487

—

117

#461

—

118

#448

—

119

#431

—

120

C₂×C₁₉

—

121

C₂×C₁₉

#535

yes

characteristic

122

C₂×C₁₉

C₂²×SD₁₆

yes

characteristic

123

C₂×C₁₉

C₂×#137

yes

characteristic

124

D₁₉

—

125

C₂×#41

—

126

C₂²×Q₈

—

127

C₂×SD₁₆

—

128

C₂×SD₁₆

C₂×D₁₉

yes

—

129

C₄⋊Q₈

—

130

C₄⋊Q₈

—

131

C₄⋊Q₈

—

132

C₄⋊Q₈

—

133

C₄⋊Q₈

—

134

C₄⋊Q₈

C₂×D₁₉

yes

characteristic

135

#127

C₂×D₁₉

yes

characteristic

136

#124

—

137

#121

—

138

#121

—

139

C₄×D₄

—

140

C₄×D₄

—

141

C₂×C₄⋊C₄

—

142

C₂×C₄⋊C₄

—

143

C₂×C₄²

—

144

C₄⋊C₈

—

145

#103

—

146

#103

—

147

C₂²⋊C₈

—

148

C₄×C₈

—

149

C₄×C₈

C₂×D₁₉

yes

characteristic

150

C₁₉

#3206

yes

characteristic, complemented, Sylow

151

#41

—

152

C₂×Q₈

—

153

C₂×Q₈

—

154

C₂×Q₈

—

155

C₂×Q₈

—

156

C₂×Q₈

C₂²×D₁₉

yes

—

157

C₂×D₄

—

158

C₂×D₄

—

159

C₂×D₄

—

160

C₂×D₄

C₂²×D₁₉

yes

—

161

C₂²×C₄

—

162

C₂²×C₄

—

163

C₂²×C₄

—

164

C₂²×C₄

—

165

C₂²×C₄

—

166

SD₁₆

—

167

SD₁₆

—

168

C₂×C₈

—

169

C₂×C₈

C₂²×D₁₉

yes

—

170

C₄⋊C₄

—

171

C₄⋊C₄

—

172

C₄⋊C₄

—

173

C₄⋊C₄

—

174

C₄⋊C₄

—

175

C₄⋊C₄

—

176

C₄⋊C₄

—

177

C₄⋊C₄

—

178

C₂²⋊C₄

—

179

C₂²⋊C₄

—

180

C₄²

—

181

C₄²

—

182

C₄²

—

183

C₄²

C₂²×D₁₉

yes

characteristic

184

C₂³

—

185

C₂³

—

186

Q₈

—

187

Q₈

—

188

Q₈

—

189

Q₈

—

190

D₄

—

191

D₄

—

192

D₄

—

193

D₄

—

194

C₂×C₄

—

195

C₂×C₄

—

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

—

205

C₂×C₄

D₄×D₁₉

yes

characteristic

206

C₂×C₄

D₄×D₁₉

yes

characteristic

207

C₂×C₄

C₂³×D₁₉

yes

characteristic

208

C₈

—

209

C₈

—

210

C₂²

—

211

C₂²

—

212

C₂²

—

213

C₂²

—

214

C₂²

—

215

C₂²

—

216

C₂²

C₂×D₄×D₁₉

yes

characteristic

217

C₄

—

218

C₄

—

219

C₄

—

220

C₄

—

221

C₄

—

222

C₄

—

223

C₄

SD₁₆×D₁₉

yes

—

224

C₄

#10597361

yes

—

225

C₄

#10597430

yes

—

226

C₂

—

227

C₂

—

228

C₂

#11927107

yes

characteristic

229

C₂

C₂×SD₁₆×D₁₉

yes

characteristic

230

C₂

C₂×#10597361

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting	C₁₉×#492	C₂
socle	C₂²×C₁₉	C₂²×D₄
prime radical	#11927092	C₂
hypercenter	#492	D₁₉
hypocenter	C₁₉	#3206
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #492

subgroup

G/H

center

C₂²

C₂×D₄×D₁₉

commutator, cosocle

C₂×C₄×C₁₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₁₉

Fitting

C₁₉×#492

C₂

socle

C₂²×C₁₉

C₂²×D₄

C₂

D₁₉

C₁₉

G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #492

N	H ≅ G/N	type
2. C₄⋊Q₈×D₁₉	C₂	semidirect
3. #11926916	C₂	semidirect
4. #11926895	C₂	semidirect
5. #11926894	C₂	semidirect
6. #11926747	C₂	semidirect
7. #11926681	C₂	semidirect
8. #11926595	C₂	semidirect
9. C₁₉×#492	C₂	semidirect
88. C₄×D₁₉	SD₁₆	semidirect
114. #492	D₁₉	semidirect
150. C₁₉	#3206	semidirect

H ≅ G/N

type

2. C₄⋊Q₈×D₁₉

C₂

semidirect

3. #11926916

C₂

semidirect

4. #11926895

C₂

semidirect

5. #11926894

C₂

semidirect

6. #11926747

C₂

semidirect

7. #11926681

C₂

semidirect

8. #11926595

C₂

semidirect

9. C₁₉×#492

C₂

semidirect

88. C₄×D₁₉

SD₁₆

semidirect

114. #492

D₁₉

semidirect

150. C₁₉

#3206

semidirect

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

subgroup	index
#11927092	2
C₄⋊Q₈×D₁₉	2
#11926916	2
#11926895	2
#11926894	2
#11926747	2
#11926681	2
#11926595	2
C₁₉×#492	2
#3206	19

subgroup

index

C₄⋊Q₈×D₁₉

C₁₉×#492

Subgroups — #14574556

Conjugacy classes of subgroups

Complements

Maximal subgroups