Group #14576283 — subgroups

Subgroups — #14576283

Order 2432.

350 conjugacy classes of subgroups; only the 115 normal subgroups are shown.

normal subgroups only

This group has 350 conjugacy classes of subgroups — too many to draw. Only its 115 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	#11927264	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927255	C₂	1	1	yes	maximal, characteristic, complemented
3	#11926897	C₂	1	2	yes	maximal, complemented
4	#11926896	C₂	1	1	yes	maximal, characteristic, complemented
5	#11926854	C₂	1	2	yes	maximal, complemented
6	#11926758	C₂	1	2	yes	maximal
7	#11926750	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926668	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926631	C₂	1	2	yes	maximal, complemented
10	C₄×#64525	C₂	1	1	yes	maximal, characteristic
11	C₁₉×#476	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
13	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
14	#10597392	—	2	2	no	—
15	#10597382	C₂²	1	2	yes	—
16	C₂×#64525	C₂²	1	1	yes	characteristic
17	#10597372	—	2	1	no	—
18	#10597370	—	2	1	no	—
19	C₂×#64516	C₂²	1	2	yes	—
20	#10597343	—	2	1	no	—
21	#10597339	C₂²	1	2	yes	—
22	C₄⋊C₄×D₁₉	—	2	1	no	—
23	#10597336	C₂²	1	2	yes	—
24	#10597333	C₂²	1	2	yes	—
25	#10597325	—	2	2	no	—
26	C₄×D₇₆	C₂²	1	1	yes	characteristic
27	#10597315	C₂²	1	1	yes	characteristic
28	C₄×Dic₃₈	C₂²	1	1	yes	characteristic
29	C₁₉×#106	C₂²	1	2	yes	—
30	C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
31	C₁₉×#102	C₂²	1	2	yes	—
32	#10597289	C₂²	1	1	yes	characteristic
33	#10597273	C₂²	1	2	yes	—
34	Dic₁₉⋊C₈	C₂²	1	2	yes	—
35	C₈×Dic₁₉	C₂²	1	2	yes	—
36	#10597267	C₂²	1	2	yes	—
37	#10597267	C₂²	1	2	yes	—
38	#10597266	C₂²	1	1	yes	characteristic
39	#10597264	C₂²	1	1	yes	characteristic
40	C₄×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
41	C₂×Q₈×C₁₉	—	2	1	no	—
42	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
43	C₂²×C₄×C₁₉	—	2	1	no	—
44	C₂×D₇₆	C₂³	1	1	yes	characteristic
45	C₂×C₄×D₁₉	—	2	1	no	—
46	C₂×C₄×D₁₉	—	2	2	no	—
47	C₂×Dic₃₈	D₄	1	1	yes	characteristic
48	C₂×Dic₃₈	C₂³	1	2	yes	—
49	C₂×C₈×C₁₉	C₂³	1	2	yes	—
50	C₄⋊C₄×C₁₉	—	2	1	no	—
51	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
52	C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
53	C₂²⋊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	#64525	—	2	2	no	—
58	(C₂×D₁₉)⋊C₄	—	2	1	no	—
59	(C₂×D₁₉)⋊C₄	—	2	2	no	—
60	C₄⋊Dic₁₉	—	2	1	no	—
61	C₄⋊Dic₁₉	—	2	1	no	—
62	C₄⋊Dic₁₉	—	2	2	no	—
63	C₄⋊Dic₁₉	D₄	1	1	yes	characteristic
64	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
65	Dic₁₉⋊C₄	—	2	2	no	—
66	Dic₁₉⋊C₄	—	2	2	no	—
67	Dic₁₉⋊C₄	D₄	1	2	yes	—
68	C₄×Dic₁₉	—	2	2	no	—
69	C₄×Dic₁₉	C₂³	1	2	yes	—
70	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
71	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
72	#64516	—	2	4	no	—
73	C₂³×C₁₉	—	2	1	no	—
74	C₂²×D₁₉	—	2	1	no	—
75	Q₈×C₁₉	—	8	1	no	—
76	D₄×C₁₉	—	2	1	no	—
77	D₄×C₁₉	—	2	1	no	—
78	C₂×C₄×C₁₉	—	2	1	no	—
79	C₂×C₄×C₁₉	—	2	2	no	—
80	C₂×C₄×C₁₉	—	4	2	no	—
81	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
82	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
83	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
84	C₂×Dic₁₉	—	2	2	no	—
85	C₂×Dic₁₉	—	2	1	no	—
86	C₂×Dic₁₉	C₂×D₄	1	2	yes	—
87	C₂×Dic₁₉	C₂×D₄	1	2	yes	—
88	D₇₆	—	2	1	no	—
89	D₇₆	#41	1	2	yes	—
90	C₄×D₁₉	—	4	2	no	—
91	C₄×D₁₉	—	8	2	no	—
92	Dic₃₈	—	2	2	no	—
93	Dic₃₈	—	2	2	no	—
94	Dic₃₈	—	2	2	no	—
95	C₈×C₁₉	—	2	2	no	—
96	C₁₉⋊C₈	—	2	1	no	—
97	C₁₉⋊C₈	—	2	1	no	—
98	#3360	—	19	1	no	maximal, Sylow
99	C₂²×C₁₉	—	4	1	no	—
100	C₂²×C₁₉	—	4	1	no	—
101	C₂²×C₁₉	—	4	1	no	—
102	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
103	C₂×D₁₉	—	2	2	no	—
104	C₂×D₁₉	—	4	1	no	—
105	C₂×D₁₉	—	4	1	no	—
106	C₄×C₁₉	—	2	1	no	—
107	C₄×C₁₉	—	4	1	no	—
108	C₄×C₁₉	—	4	2	no	—
109	C₄×C₁₉	#135	1	2	yes	—
110	C₄×C₁₉	C₂×#41	1	1	yes	characteristic
111	C₄×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
112	Dic₁₉	—	2	2	no	—
113	Dic₁₉	—	2	2	no	—
114	Dic₁₉	—	4	2	no	—
115	Dic₁₉	—	4	1	no	—
116	#556	—	19	1	no	—
117	#554	—	19	1	no	—
118	#488	—	19	2	no	—
119	#487	—	19	1	no	—
120	#479	—	19	2	no	—
121	#476	D₁₉	1	1	yes	characteristic, complemented
122	#463	—	19	2	no	—
123	#461	—	19	1	no	—
124	C₈×Q₈	—	19	1	no	—
125	C₄×SD₁₆	—	19	2	no	—
126	C₄×D₈	—	19	1	no	—
127	C₂×C₁₉	—	8	1	no	—
128	C₂×C₁₉	#548	1	1	yes	characteristic
129	C₂×C₁₉	C₂×#135	1	1	yes	characteristic
130	C₂×C₁₉	#577	1	1	yes	characteristic
131	D₁₉	—	4	2	no	—
132	C₂×SD₁₆	—	19	2	no	—
133	C₂×D₈	—	19	1	no	—
134	C₄⋊Q₈	—	19	1	no	—
135	C₄⋊Q₈	C₂×D₁₉	1	1	yes	characteristic
136	#126	—	38	2	no	—
137	#125	—	19	2	no	—
138	#124	—	19	2	no	—
139	C₂²⋊Q₈	—	38	1	no	—
140	C₂²⋊Q₈	—	38	2	no	—
141	C₂²⋊Q₈	—	38	1	no	—
142	C₄×Q₈	—	19	1	no	—
143	C₄×Q₈	—	19	2	no	—
144	C₄×D₄	—	19	2	no	—
145	C₄×D₄	—	19	1	no	—
146	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
147	#117	—	38	1	no	—
148	C₂×C₄⋊C₄	—	38	1	no	—
149	#107	—	19	1	no	—
150	#106	C₂×D₁₉	1	2	yes	—
151	C₄⋊C₈	—	19	2	no	—
152	C₄⋊C₈	C₂×D₁₉	1	1	yes	characteristic
153	#103	—	19	2	no	—
154	#103	—	19	2	no	—
155	#103	—	19	2	no	—
156	#102	—	19	1	no	—
157	#102	—	19	1	no	—
158	#102	C₂×D₁₉	1	2	yes	—
159	C₄×C₈	—	19	2	no	—
160	C₄×C₈	—	19	1	no	—
161	C₁₉	#3360	1	1	yes	characteristic, complemented, Sylow
162	C₂×Q₈	—	2	1	no	—
163	C₂×Q₈	—	19	1	no	—
164	C₂×Q₈	—	19	2	no	—
165	C₂×D₄	—	19	1	no	—
166	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
167	C₂²×C₄	—	2	1	no	—
168	C₂²×C₄	—	38	2	no	—
169	C₂²×C₄	—	38	1	no	—
170	SD₁₆	—	38	4	no	—
171	D₈	—	38	2	no	—
172	C₂×C₈	—	19	1	no	—
173	C₂×C₈	—	19	1	no	—
174	C₂×C₈	C₂²×D₁₉	1	2	yes	—
175	C₄⋊C₄	—	2	1	no	—
176	C₄⋊C₄	—	19	2	no	—
177	C₄⋊C₄	—	19	1	no	—
178	C₄⋊C₄	—	19	1	no	—
179	C₄⋊C₄	—	38	2	no	—
180	C₄⋊C₄	—	38	2	no	—
181	C₄⋊C₄	—	38	2	no	—
182	C₄⋊C₄	—	38	1	no	—
183	C₄⋊C₄	—	38	1	no	—
184	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
185	C₄⋊C₄	C₂²×D₁₉	1	2	yes	—
186	C₂²⋊C₄	—	2	1	no	—
187	C₂²⋊C₄	—	38	2	no	—
188	C₂²⋊C₄	—	38	2	no	—
189	C₂²⋊C₄	—	38	2	no	—
190	C₂²⋊C₄	—	38	1	no	—
191	C₄²	—	19	2	no	—
192	C₄²	—	38	2	no	—
193	C₄²	C₂²×D₁₉	1	1	yes	characteristic
194	C₂³	—	2	1	no	—
195	C₂³	—	38	1	no	—
196	Q₈	—	8	1	no	—
197	Q₈	—	38	2	no	—
198	Q₈	—	38	2	no	—
199	Q₈	—	38	2	no	—
200	D₄	—	2	1	no	—
201	D₄	—	2	1	no	—
202	D₄	—	19	2	no	—
203	D₄	—	38	1	no	—
204	C₂×C₄	—	2	1	no	—
205	C₂×C₄	—	2	2	no	—
206	C₂×C₄	—	4	2	no	—
207	C₂×C₄	—	19	2	no	—
208	C₂×C₄	—	19	2	no	—
209	C₂×C₄	—	38	2	no	—
210	C₂×C₄	—	38	1	no	—
211	C₂×C₄	—	76	2	no	—
212	C₂×C₄	—	152	2	no	—
213	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
214	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
215	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
216	C₈	—	2	2	no	—
217	C₈	—	38	1	no	—
218	C₈	—	38	1	no	—
219	C₂²	—	4	1	no	—
220	C₂²	—	4	1	no	—
221	C₂²	—	4	1	no	—
222	C₂²	—	38	2	no	—
223	C₂²	—	76	1	no	—
224	C₂²	—	76	1	no	—
225	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
226	C₄	—	2	1	no	—
227	C₄	—	4	1	no	—
228	C₄	—	4	2	no	—
229	C₄	—	38	2	no	—
230	C₄	—	38	2	no	—
231	C₄	—	76	1	no	—
232	C₄	—	76	2	no	—
233	C₄	#10597362	1	2	yes	—
234	C₄	#10597433	1	1	yes	characteristic
235	C₄	#41×D₁₉	1	1	yes	characteristic
236	C₂	—	8	1	no	—
237	C₂	—	76	2	no	—
238	C₂	#11927204	1	1	yes	characteristic
239	C₂	C₂×#10597362	1	1	yes	characteristic
240	C₂	#11927354	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#11927264

C₂

yes

maximal, characteristic, complemented

#11927255

C₂

yes

maximal, characteristic, complemented

#11926897

C₂

yes

maximal, complemented

#11926896

C₂

yes

maximal, characteristic, complemented

#11926854

C₂

yes

maximal, complemented

#11926758

C₂

yes

maximal

#11926750

C₂

yes

maximal, characteristic, complemented

#11926668

C₂

yes

maximal, characteristic, complemented

#11926631

C₂

yes

maximal, complemented

C₄×#64525

C₂

yes

maximal, characteristic

C₁₉×#476

C₂

yes

maximal, characteristic, complemented

C₁₉×C₄⋊Q₈

C₂²

yes

characteristic

C₄×D₄×C₁₉

C₂²

yes

characteristic

#10597392

—

#10597382

C₂²

yes

—

C₂×#64525

C₂²

yes

—

—

C₂²

yes

—

#10597343

—

#10597339

C₂²

yes

—

C₄⋊C₄×D₁₉

—

#10597336

C₂²

yes

—

#10597333

C₂²

yes

—

#10597325

—

C₄×D₇₆

C₂²

yes

characteristic

#10597315

C₂²

yes

characteristic

C₄×Dic₃₈

C₂²

yes

characteristic

C₁₉×#106

C₂²

yes

—

C₁₉×C₄⋊C₈

C₂²

yes

characteristic

C₁₉×#102

C₂²

yes

—

#10597289

C₂²

yes

characteristic

#10597273

C₂²

yes

—

Dic₁₉⋊C₈

C₂²

yes

—

C₈×Dic₁₉

C₂²

yes

—

#10597267

C₂²

yes

—

#10597267

C₂²

yes

—

#10597266

C₂²

yes

characteristic

#10597264

C₂²

yes

characteristic

C₄×C₁₉⋊C₈

C₂²

yes

characteristic

C₂×Q₈×C₁₉

—

C₂×D₄×C₁₉

C₂³

yes

characteristic

C₂²×C₄×C₁₉

—

C₂×D₇₆

C₂³

yes

characteristic

C₂×C₄×D₁₉

—

C₂×C₄×D₁₉

—

C₂×Dic₃₈

D₄

yes

characteristic

C₂×Dic₃₈

C₂³

yes

—

C₂×C₈×C₁₉

C₂³

yes

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

C₂³

yes

characteristic

C₄⋊C₄×C₁₉

C₂³

yes

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

C₂³

yes

characteristic

C₂²⋊Dic₁₉

—

C₂²⋊Dic₁₉

—

#64525

—

(C₂×D₁₉)⋊C₄

—

(C₂×D₁₉)⋊C₄

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

D₄

yes

characteristic

C₄⋊Dic₁₉

C₂³

yes

characteristic

Dic₁₉⋊C₄

—

Dic₁₉⋊C₄

—

Dic₁₉⋊C₄

D₄

yes

—

C₄×Dic₁₉

—

C₄×Dic₁₉

C₂³

yes

—

C₂×C₁₉⋊C₈

C₂³

yes

characteristic

C₂×C₁₉⋊C₈

C₂³

yes

characteristic

#64516

—

C₂³×C₁₉

—

C₂²×D₁₉

—

Q₈×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂⁴

yes

characteristic

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

C₂×D₄

yes

—

C₂×Dic₁₉

C₂×D₄

yes

—

D₇₆

—

D₇₆

#41

yes

—

C₄×D₁₉

—

C₄×D₁₉

—

Dic₃₈

—

Dic₃₈

—

Dic₃₈

—

C₈×C₁₉

—

C₁₉⋊C₈

—

C₁₉⋊C₈

—

#3360

—

maximal, Sylow

C₂²×C₁₉

—

100

C₂²×C₁₉

—

101

C₂²×C₁₉

—

102

C₂²×C₁₉

C₂²×D₄

yes

characteristic

103

C₂×D₁₉

—

104

C₂×D₁₉

—

105

C₂×D₁₉

—

106

C₄×C₁₉

—

107

C₄×C₁₉

—

108

C₄×C₁₉

—

109

C₄×C₁₉

#135

yes

—

110

C₄×C₁₉

C₂×#41

yes

characteristic

111

C₄×C₁₉

2₋¹⁺⁴

yes

characteristic

112

Dic₁₉

—

113

Dic₁₉

—

114

Dic₁₉

—

115

Dic₁₉

—

116

#556

—

117

#554

—

118

#488

—

119

#487

—

120

#479

—

121

#476

D₁₉

yes

characteristic, complemented

122

#463

—

123

#461

—

124

C₈×Q₈

—

125

C₄×SD₁₆

—

126

C₄×D₈

—

127

C₂×C₁₉

—

128

C₂×C₁₉

#548

yes

characteristic

129

C₂×C₁₉

C₂×#135

yes

characteristic

130

C₂×C₁₉

#577

yes

characteristic

131

D₁₉

—

132

C₂×SD₁₆

—

133

C₂×D₈

—

134

C₄⋊Q₈

—

135

C₄⋊Q₈

C₂×D₁₉

yes

characteristic

136

#126

—

137

#125

—

138

#124

—

139

C₂²⋊Q₈

—

140

C₂²⋊Q₈

—

141

C₂²⋊Q₈

—

142

C₄×Q₈

—

143

C₄×Q₈

—

144

C₄×D₄

—

145

C₄×D₄

—

146

C₄×D₄

C₂×D₁₉

yes

characteristic

147

#117

—

148

C₂×C₄⋊C₄

—

149

#107

—

150

#106

C₂×D₁₉

yes

—

151

C₄⋊C₈

—

152

C₄⋊C₈

C₂×D₁₉

yes

characteristic

153

#103

—

154

#103

—

155

#103

—

156

#102

—

157

#102

—

158

#102

C₂×D₁₉

yes

—

159

C₄×C₈

—

160

C₄×C₈

—

161

C₁₉

#3360

yes

characteristic, complemented, Sylow

162

C₂×Q₈

—

163

C₂×Q₈

—

164

C₂×Q₈

—

165

C₂×D₄

—

166

C₂×D₄

C₂²×D₁₉

yes

characteristic

167

C₂²×C₄

—

168

C₂²×C₄

—

169

C₂²×C₄

—

170

SD₁₆

—

171

D₈

—

172

C₂×C₈

—

173

C₂×C₈

—

174

C₂×C₈

C₂²×D₁₉

yes

—

175

C₄⋊C₄

—

176

C₄⋊C₄

—

177

C₄⋊C₄

—

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₄⋊C₄

—

182

C₄⋊C₄

—

183

C₄⋊C₄

—

184

C₄⋊C₄

C₂²×D₁₉

yes

characteristic

185

C₄⋊C₄

C₂²×D₁₉

yes

—

186

C₂²⋊C₄

—

187

C₂²⋊C₄

—

188

C₂²⋊C₄

—

189

C₂²⋊C₄

—

190

C₂²⋊C₄

—

191

C₄²

—

192

C₄²

—

193

C₄²

C₂²×D₁₉

yes

characteristic

194

C₂³

—

195

C₂³

—

196

Q₈

—

197

Q₈

—

198

Q₈

—

199

Q₈

—

200

D₄

—

201

D₄

—

202

D₄

—

203

D₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

—

207

C₂×C₄

—

208

C₂×C₄

—

209

C₂×C₄

—

210

C₂×C₄

—

211

C₂×C₄

—

212

C₂×C₄

—

152

—

213

C₂×C₄

D₄×D₁₉

yes

characteristic

214

C₂×C₄

D₄×D₁₉

yes

characteristic

215

C₂×C₄

C₂³×D₁₉

yes

characteristic

216

C₈

—

217

C₈

—

218

C₈

—

219

C₂²

—

220

C₂²

—

221

C₂²

—

222

C₂²

—

223

C₂²

—

224

C₂²

—

225

C₂²

C₂×D₄×D₁₉

yes

characteristic

226

C₄

—

227

C₄

—

228

C₄

—

229

C₄

—

230

C₄

—

231

C₄

—

232

C₄

—

233

C₄

#10597362

yes

—

234

C₄

#10597433

yes

characteristic

235

C₄

#41×D₁₉

yes

characteristic

236

C₂

—

237

C₂

—

238

C₂

#11927204

yes

characteristic

239

C₂

C₂×#10597362

yes

characteristic

240

C₂

#11927354

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting	C₁₉×#476	C₂
socle	C₂²×C₁₉	C₂²×D₄
prime radical	C₂×#64525	C₂²
hypercenter	#476	D₁₉
hypocenter	C₁₉	#3360
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #476

subgroup

G/H

center

C₂²

C₂×D₄×D₁₉

commutator, cosocle

C₂×C₄×C₁₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₁₉

Fitting

C₁₉×#476

C₂

socle

C₂²×C₁₉

C₂²×D₄

C₂²

D₁₉

C₁₉

G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #476

N	H ≅ G/N	type
1. #11927264	C₂	semidirect
2. #11927255	C₂	semidirect
3. #11926897	C₂	semidirect
4. #11926896	C₂	semidirect
5. #11926854	C₂	semidirect
7. #11926750	C₂	semidirect
8. #11926668	C₂	semidirect
9. #11926631	C₂	semidirect
11. C₁₉×#476	C₂	semidirect
121. #476	D₁₉	semidirect
161. C₁₉	#3360	semidirect

H ≅ G/N

type

1. #11927264

C₂

semidirect

2. #11927255

C₂

semidirect

3. #11926897

C₂

semidirect

4. #11926896

C₂

semidirect

5. #11926854

C₂

semidirect

7. #11926750

C₂

semidirect

8. #11926668

C₂

semidirect

9. #11926631

C₂

semidirect

11. C₁₉×#476

C₂

semidirect

121. #476

D₁₉

semidirect

161. C₁₉

#3360

semidirect

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

subgroup	index
#11927264	2
#11927255	2
#11926897	2
#11926896	2
#11926854	2
#11926758	2
#11926750	2
#11926668	2
#11926631	2
C₄×#64525	2
C₁₉×#476	2
#3360	19

subgroup

index

C₁₉×#476

Subgroups — #14576283

Conjugacy classes of subgroups

Complements

Maximal subgroups