Group #18085301 — subgroups

Subgroups — #18085301

Order 4864.

516 conjugacy classes of subgroups; only the 87 normal subgroups are shown.

normal subgroups only

This group has 516 conjugacy classes of subgroups — too many to draw. Only its 87 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	#14575029	C₂	1	1	yes	maximal, characteristic, complemented
2	#14575022	C₂	1	2	yes	maximal
3	#14564612	C₂	1	2	yes	maximal, complemented
4	C₁₉⋊#1309	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1962	C₂	1	1	yes	maximal, characteristic
6	#11927101	C₂²	1	2	yes	—
7	#11926836	—	2	2	no	—
8	#11926830	—	2	2	no	—
9	#11926824	—	2	2	no	—
10	#11926802	—	2	2	no	—
11	#11926788	—	2	4	no	—
12	#11926755	—	2	2	no	—
13	#11926749	—	2	2	no	—
14	#11926741	—	2	2	no	—
15	#11926568	C₂²	1	2	yes	—
16	#11926304	—	2	4	no	—
17	C₁₉×#532	C₂²	1	1	yes	characteristic
18	C₁₉×#423	C₂²	1	1	yes	characteristic
19	C₂×C₁₉×#104	—	2	2	no	—
20	C₄³×C₁₉	C₂²	1	1	yes	characteristic
21	C₂×#41×C₁₉	—	2	1	no	—
22	C₂×M₁₆×C₁₉	D₄	1	2	yes	—
23	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
24	C₁₉×#127	D₄	1	1	yes	characteristic
25	C₁₉×#124	—	2	1	no	—
26	C₁₉×#121	—	2	2	no	—
27	C₄×D₄×C₁₉	—	2	2	no	—
28	C₂×C₄²×C₁₉	—	2	2	no	—
29	C₂×C₄²×C₁₉	—	2	1	no	—
30	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
31	C₂×#64526	—	2	4	no	—
32	#10597372	—	2	2	no	—
33	#10597370	—	2	2	no	—
34	#10597370	—	2	2	no	—
35	C₂×#64520	D₄	1	4	yes	—
36	C₂×Dic₇₆	—	2	2	no	—
37	#10597316	—	2	2	no	—
38	#10597315	D₄	1	2	yes	—
39	#10597315	D₄	1	2	yes	—
40	C₄×Dic₃₈	—	2	2	no	—
41	C₄×Dic₃₈	—	2	2	no	—
42	C₁₉×C₄⋊C₈	—	2	2	no	—
43	C₁₉×#104	—	4	4	no	—
44	#10597289	—	2	4	no	—
45	#10597274	—	2	2	no	—
46	#10597273	—	2	4	no	—
47	#10597267	—	2	4	no	—
48	#10597264	—	2	4	no	—
49	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
50	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
51	#41×C₁₉	—	4	2	no	—
52	#41×C₁₉	—	4	2	no	—
53	C₂×Q₈×C₁₉	—	2	1	no	—
54	C₂×D₄×C₁₉	—	2	2	no	—
55	C₂×D₄×C₁₉	—	2	1	no	—
56	C₂×D₄×C₁₉	—	4	1	no	—
57	C₂²×C₄×C₁₉	—	4	1	no	—
58	C₂²×C₄×C₁₉	—	4	1	no	—
59	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
60	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
61	C₂×Dic₃₈	—	2	2	no	—
62	C₂×Dic₃₈	—	2	2	no	—
63	M₁₆×C₁₉	—	4	2	no	—
64	C₂×C₈×C₁₉	—	2	2	no	—
65	C₄⋊C₄×C₁₉	—	2	2	no	—
66	C₂²⋊C₄×C₁₉	—	4	2	no	—
67	C₄²×C₁₉	—	2	4	no	—
68	C₄²×C₁₉	—	2	2	no	—
69	C₄²×C₁₉	—	4	1	no	—
70	C₄²×C₁₉	—	4	2	no	—
71	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
72	C₄²×C₁₉	C₂×D₄	1	2	yes	—
73	C₄²×C₁₉	#41	1	1	yes	characteristic
74	C₂²⋊Dic₁₉	—	4	2	no	—
75	#64526	—	8	4	no	—
76	C₄⋊Dic₁₉	—	2	2	no	—
77	C₄⋊Dic₁₉	—	2	2	no	—
78	C₄⋊Dic₁₉	—	2	2	no	—
79	C₄⋊Dic₁₉	—	2	2	no	—
80	Dic₁₉⋊C₄	—	4	2	no	—
81	Dic₁₉⋊C₄	—	4	2	no	—
82	C₄×Dic₁₉	—	4	2	no	—
83	#64520	—	4	4	no	—
84	C₂×C₁₉⋊C₈	—	2	4	no	—
85	Dic₇₆	—	8	2	no	—
86	#10302	—	19	1	no	maximal, Sylow
87	C₂³×C₁₉	—	4	1	no	—
88	C₂³×C₁₉	#127	1	1	yes	characteristic
89	Q₈×C₁₉	—	4	2	no	—
90	D₄×C₁₉	—	4	2	no	—
91	D₄×C₁₉	—	4	2	no	—
92	D₄×C₁₉	—	4	2	no	—
93	D₄×C₁₉	—	8	2	no	—
94	C₂×C₄×C₁₉	—	2	1	no	—
95	C₂×C₄×C₁₉	—	2	1	no	—
96	C₂×C₄×C₁₉	—	2	2	no	—
97	C₂×C₄×C₁₉	—	2	2	no	—
98	C₂×C₄×C₁₉	—	4	2	no	—
99	C₂×C₄×C₁₉	—	4	4	no	—
100	C₂×C₄×C₁₉	—	4	1	no	—
101	C₂×C₄×C₁₉	—	8	1	no	—
102	C₂×C₄×C₁₉	—	8	1	no	—
103	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
104	C₂×C₄×C₁₉	#120	1	2	yes	—
105	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
106	C₂×C₄×C₁₉	#121	1	2	yes	—
107	C₂×Dic₁₉	—	4	2	no	—
108	C₂×Dic₁₉	—	4	2	no	—
109	Dic₃₈	—	4	2	no	—
110	Dic₃₈	—	4	2	no	—
111	Dic₃₈	—	4	2	no	—
112	Dic₃₈	—	4	2	no	—
113	C₈×C₁₉	—	4	2	no	—
114	C₁₉⋊C₈	—	4	4	no	—
115	#3255	—	19	1	no	—
116	#3254	—	19	2	no	—
117	#1994	—	19	2	no	—
118	#1962	D₁₉	1	1	yes	characteristic
119	#1309	—	19	1	no	—
120	C₂²×C₁₉	—	2	1	no	—
121	C₂²×C₁₉	—	2	2	no	—
122	C₂²×C₁₉	—	8	1	no	—
123	C₂²×C₁₉	—	8	2	no	—
124	C₂²×C₁₉	#392	1	1	yes	characteristic
125	C₄×C₁₉	—	2	1	no	—
126	C₄×C₁₉	—	2	2	no	—
127	C₄×C₁₉	—	4	4	no	—
128	C₄×C₁₉	—	8	1	no	—
129	C₄×C₁₉	#453	1	1	yes	characteristic
130	C₄×C₁₉	#454	1	1	yes	characteristic
131	C₄×C₁₉	#455	1	2	yes	—
132	C₄×C₁₉	#456	1	2	yes	—
133	Dic₁₉	—	8	2	no	—
134	Dic₁₉	—	8	2	no	—
135	#533	—	19	2	no	—
136	#532	C₂×D₁₉	1	1	yes	characteristic
137	#477	—	38	2	no	—
138	#475	—	38	2	no	—
139	#474	—	38	2	no	—
140	#470	—	38	2	no	—
141	#468	—	38	4	no	—
142	#462	—	38	2	no	—
143	#461	—	38	2	no	—
144	#460	—	38	2	no	—
145	#423	—	19	2	no	—
146	#423	C₂×D₁₉	1	1	yes	characteristic
147	C₂×#104	—	2	2	no	—
148	C₄³	C₂×D₁₉	1	1	yes	characteristic
149	#339	—	38	4	no	—
150	C₂×C₁₉	—	4	1	no	—
151	C₂×C₁₉	—	16	1	no	—
152	C₂×C₁₉	#2006	1	1	yes	characteristic
153	C₂×C₁₉	#2007	1	2	yes	—
154	C₂×#41	—	2	1	no	—
155	C₂×Q₁₆	—	38	2	no	—
156	C₂×SD₁₆	—	38	4	no	—
157	C₂×M₁₆	—	19	4	no	—
158	C₂×M₁₆	C₂²⋊D₁₉	1	2	yes	—
159	C₄⋊Q₈	—	19	2	no	—
160	C₄⋊Q₈	—	19	2	no	—
161	C₄⋊Q₈	D₇₆	1	1	yes	characteristic
162	#127	D₇₆	1	1	yes	characteristic
163	#125	—	38	2	no	—
164	#124	—	2	1	no	—
165	C₂²⋊Q₈	—	38	2	no	—
166	C₂²⋊Q₈	—	38	2	no	—
167	#121	—	2	2	no	—
168	C₄×Q₈	—	38	2	no	—
169	C₄×Q₈	—	38	2	no	—
170	C₄×D₄	—	2	2	no	—
171	#117	—	38	2	no	—
172	C₂×C₄²	—	2	2	no	—
173	C₂×C₄²	—	2	1	no	—
174	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
175	#107	—	38	4	no	—
176	#106	—	38	2	no	—
177	C₄⋊C₈	—	2	2	no	—
178	C₄⋊C₈	—	38	2	no	—
179	C₄⋊C₈	—	38	2	no	—
180	#104	—	4	4	no	—
181	#103	—	38	4	no	—
182	#103	—	38	4	no	—
183	#102	—	38	4	no	—
184	C₁₉	#10302	1	1	yes	characteristic, complemented, Sylow
185	#41	—	4	2	no	—
186	#41	—	4	2	no	—
187	C₂×Q₈	—	2	1	no	—
188	C₂×Q₈	—	38	2	no	—
189	C₂×Q₈	—	38	2	no	—
190	C₂×D₄	—	2	1	no	—
191	C₂×D₄	—	2	2	no	—
192	C₂×D₄	—	4	1	no	—
193	C₂²×C₄	—	4	1	no	—
194	C₂²×C₄	—	4	1	no	—
195	C₂²×C₄	D₄×D₁₉	1	2	yes	—
196	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
197	Q₁₆	—	152	2	no	—
198	SD₁₆	—	152	4	no	—
199	M₁₆	—	4	2	no	—
200	M₁₆	—	76	4	no	—
201	C₂×C₈	—	2	2	no	—
202	C₂×C₈	—	38	4	no	—
203	C₄⋊C₄	—	2	2	no	—
204	C₄⋊C₄	—	38	2	no	—
205	C₄⋊C₄	—	38	2	no	—
206	C₄⋊C₄	—	38	2	no	—
207	C₄⋊C₄	—	38	2	no	—
208	C₄⋊C₄	—	76	2	no	—
209	C₄⋊C₄	—	76	2	no	—
210	C₂²⋊C₄	—	4	2	no	—
211	C₂²⋊C₄	—	76	2	no	—
212	C₄²	—	2	2	no	—
213	C₄²	—	2	4	no	—
214	C₄²	—	4	1	no	—
215	C₄²	—	4	2	no	—
216	C₄²	—	76	2	no	—
217	C₄²	C₂×D₇₆	1	1	yes	characteristic
218	C₄²	#64541	1	1	yes	characteristic
219	C₄²	D₄×D₁₉	1	2	yes	—
220	C₂³	—	4	1	no	—
221	C₂³	#10597386	1	1	yes	characteristic
222	Q₈	—	4	2	no	—
223	Q₈	—	76	2	no	—
224	Q₈	—	76	2	no	—
225	Q₈	—	76	2	no	—
226	Q₈	—	76	2	no	—
227	D₄	—	4	2	no	—
228	D₄	—	4	2	no	—
229	D₄	—	4	2	no	—
230	D₄	—	8	2	no	—
231	C₂×C₄	—	2	1	no	—
232	C₂×C₄	—	2	1	no	—
233	C₂×C₄	—	2	2	no	—
234	C₂×C₄	—	2	2	no	—
235	C₂×C₄	—	4	2	no	—
236	C₂×C₄	—	4	4	no	—
237	C₂×C₄	—	4	1	no	—
238	C₂×C₄	—	8	1	no	—
239	C₂×C₄	—	8	1	no	—
240	C₂×C₄	—	76	2	no	—
241	C₂×C₄	—	76	2	no	—
242	C₂×C₄	#10597328	1	2	yes	—
243	C₂×C₄	#10597330	1	2	yes	—
244	C₂×C₄	#10597376	1	1	yes	characteristic
245	C₂×C₄	#10597383	1	1	yes	characteristic
246	C₈	—	4	2	no	—
247	C₈	—	76	4	no	—
248	C₂²	—	2	1	no	—
249	C₂²	—	2	2	no	—
250	C₂²	—	8	1	no	—
251	C₂²	—	8	2	no	—
252	C₂²	#11926453	1	1	yes	characteristic
253	C₄	—	2	1	no	—
254	C₄	—	2	2	no	—
255	C₄	—	4	4	no	—
256	C₄	—	8	1	no	—
257	C₄	—	152	2	no	—
258	C₄	—	152	2	no	—
259	C₄	#11926711	1	1	yes	characteristic
260	C₄	#11926716	1	1	yes	characteristic
261	C₄	#11926723	1	2	yes	—
262	C₄	#11926728	1	2	yes	—
263	C₂	—	4	1	no	—
264	C₂	—	16	1	no	—
265	C₂	#14564676	1	1	yes	characteristic
266	C₂	#14564683	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

#14575029

C₂

yes

maximal, characteristic, complemented

#14575022

C₂

yes

maximal

#14564612

C₂

yes

maximal, complemented

C₁₉⋊#1309

C₂

yes

maximal, characteristic, complemented

C₁₉×#1962

C₂

yes

maximal, characteristic

#11927101

C₂²

yes

—

—

—

—

—

—

—

—

—

C₂²

yes

—

#11926304

—

C₁₉×#532

C₂²

yes

characteristic

C₁₉×#423

C₂²

yes

characteristic

C₂×C₁₉×#104

—

C₄³×C₁₉

C₂²

yes

characteristic

C₂×#41×C₁₉

—

C₂×M₁₆×C₁₉

D₄

yes

—

C₁₉×C₄⋊Q₈

D₄

yes

characteristic

C₁₉×#127

D₄

yes

characteristic

C₁₉×#124

—

C₁₉×#121

—

C₄×D₄×C₁₉

—

C₂×C₄²×C₁₉

—

C₂×C₄²×C₁₉

—

C₂×C₄²×C₁₉

C₂³

yes

—

—

—

—

D₄

yes

—

C₂×Dic₇₆

—

#10597316

—

#10597315

D₄

yes

—

#10597315

D₄

yes

—

C₄×Dic₃₈

—

C₄×Dic₃₈

—

C₁₉×C₄⋊C₈

—

C₁₉×#104

—

—

—

—

—

—

C₄⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

—

#41×C₁₉

—

#41×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂×D₄

yes

—

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×Dic₃₈

—

C₂×Dic₃₈

—

M₁₆×C₁₉

—

C₂×C₈×C₁₉

—

C₄⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

C₂×D₄

yes

characteristic

C₄²×C₁₉

C₂×D₄

yes

—

C₄²×C₁₉

#41

yes

characteristic

C₂²⋊Dic₁₉

—

#64526

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

Dic₁₉⋊C₄

—

Dic₁₉⋊C₄

—

C₄×Dic₁₉

—

#64520

—

C₂×C₁₉⋊C₈

—

Dic₇₆

—

#10302

—

maximal, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

#127

yes

characteristic

Q₈×C₁₉

—

D₄×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

—

100

C₂×C₄×C₁₉

—

101

C₂×C₄×C₁₉

—

102

C₂×C₄×C₁₉

—

103

C₂×C₄×C₁₉

#120

yes

characteristic

104

C₂×C₄×C₁₉

#120

yes

—

105

C₂×C₄×C₁₉

#121

yes

characteristic

106

C₂×C₄×C₁₉

#121

yes

—

107

C₂×Dic₁₉

—

108

C₂×Dic₁₉

—

109

Dic₃₈

—

110

Dic₃₈

—

111

Dic₃₈

—

112

Dic₃₈

—

113

C₈×C₁₉

—

114

C₁₉⋊C₈

—

115

#3255

—

116

#3254

—

117

#1994

—

118

#1962

D₁₉

yes

characteristic

119

#1309

—

120

C₂²×C₁₉

—

121

C₂²×C₁₉

—

122

C₂²×C₁₉

—

123

C₂²×C₁₉

—

124

C₂²×C₁₉

#392

yes

characteristic

125

C₄×C₁₉

—

126

C₄×C₁₉

—

127

C₄×C₁₉

—

128

C₄×C₁₉

—

129

C₄×C₁₉

#453

yes

characteristic

130

C₄×C₁₉

#454

yes

characteristic

131

C₄×C₁₉

#455

yes

—

132

C₄×C₁₉

#456

yes

—

133

Dic₁₉

—

134

Dic₁₉

—

135

#533

—

136

#532

C₂×D₁₉

yes

characteristic

137

#477

—

138

#475

—

139

#474

—

140

#470

—

141

#468

—

142

#462

—

143

#461

—

144

#460

—

145

#423

—

146

#423

C₂×D₁₉

yes

characteristic

147

C₂×#104

—

148

C₄³

C₂×D₁₉

yes

characteristic

149

#339

—

150

C₂×C₁₉

—

151

C₂×C₁₉

—

152

C₂×C₁₉

#2006

yes

characteristic

153

C₂×C₁₉

#2007

yes

—

154

C₂×#41

—

155

C₂×Q₁₆

—

156

C₂×SD₁₆

—

157

C₂×M₁₆

—

158

C₂×M₁₆

C₂²⋊D₁₉

yes

—

159

C₄⋊Q₈

—

160

C₄⋊Q₈

—

161

C₄⋊Q₈

D₇₆

yes

characteristic

162

#127

D₇₆

yes

characteristic

163

#125

—

164

#124

—

165

C₂²⋊Q₈

—

166

C₂²⋊Q₈

—

167

#121

—

168

C₄×Q₈

—

169

C₄×Q₈

—

170

C₄×D₄

—

171

#117

—

172

C₂×C₄²

—

173

C₂×C₄²

—

174

C₂×C₄²

C₂²×D₁₉

yes

characteristic

175

#107

—

176

#106

—

177

C₄⋊C₈

—

178

C₄⋊C₈

—

179

C₄⋊C₈

—

180

#104

—

181

#103

—

182

#103

—

183

#102

—

184

C₁₉

#10302

yes

characteristic, complemented, Sylow

185

#41

—

186

#41

—

187

C₂×Q₈

—

188

C₂×Q₈

—

189

C₂×Q₈

—

190

C₂×D₄

—

191

C₂×D₄

—

192

C₂×D₄

—

193

C₂²×C₄

—

194

C₂²×C₄

—

195

C₂²×C₄

D₄×D₁₉

yes

—

196

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

197

Q₁₆

—

152

—

198

SD₁₆

—

152

—

199

M₁₆

—

200

M₁₆

—

201

C₂×C₈

—

202

C₂×C₈

—

203

C₄⋊C₄

—

204

C₄⋊C₄

—

205

C₄⋊C₄

—

206

C₄⋊C₄

—

207

C₄⋊C₄

—

208

C₄⋊C₄

—

209

C₄⋊C₄

—

210

C₂²⋊C₄

—

211

C₂²⋊C₄

—

212

C₄²

—

213

C₄²

—

214

C₄²

—

215

C₄²

—

216

C₄²

—

217

C₄²

C₂×D₇₆

yes

characteristic

218

C₄²

#64541

yes

characteristic

219

C₄²

D₄×D₁₉

yes

—

220

C₂³

—

221

C₂³

#10597386

yes

characteristic

222

Q₈

—

223

Q₈

—

224

Q₈

—

225

Q₈

—

226

Q₈

—

227

D₄

—

228

D₄

—

229

D₄

—

230

D₄

—

231

C₂×C₄

—

232

C₂×C₄

—

233

C₂×C₄

—

234

C₂×C₄

—

235

C₂×C₄

—

236

C₂×C₄

—

237

C₂×C₄

—

238

C₂×C₄

—

239

C₂×C₄

—

240

C₂×C₄

—

241

C₂×C₄

—

242

C₂×C₄

#10597328

yes

—

243

C₂×C₄

#10597330

yes

—

244

C₂×C₄

#10597376

yes

characteristic

245

C₂×C₄

#10597383

yes

characteristic

246

C₈

—

247

C₈

—

248

C₂²

—

249

C₂²

—

250

C₂²

—

251

C₂²

—

252

C₂²

#11926453

yes

characteristic

253

C₄

—

254

C₄

—

255

C₄

—

256

C₄

—

257

C₄

—

152

—

258

C₄

—

152

—

259

C₄

#11926711

yes

characteristic

260

C₄

#11926716

yes

characteristic

261

C₄

#11926723

yes

—

262

C₄

#11926728

yes

—

263

C₂

—

264

C₂

—

265

C₂

#14564676

yes

characteristic

266

C₂

#14564683

yes

—

	subgroup	G/H
center	C₂²	#11926453
commutator, cosocle	C₂×C₄²×C₁₉	C₂³
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1962	C₂
socle	C₂²×C₁₉	#392
prime radical	C₁₉×#532	C₂²
hypercenter	#1962	D₁₉
hypocenter	C₁₉	#10302
LCS	G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1962

subgroup

G/H

center

C₂²

#11926453

commutator, cosocle

C₂×C₄²×C₁₉

C₂³

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting

C₁₉×#1962

C₂

socle

C₂²×C₁₉

#392

prime radical

C₁₉×#532

C₂²

D₁₉

C₁₉

G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1962

N	H ≅ G/N	type
1. #14575029	C₂	semidirect
3. #14564612	C₂	semidirect
4. C₁₉⋊#1309	C₂	semidirect
184. C₁₉	#10302	semidirect

H ≅ G/N

type

1. #14575029

C₂

semidirect

3. #14564612

C₂

semidirect

4. C₁₉⋊#1309

C₂

semidirect

184. C₁₉

#10302

semidirect

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

subgroup	index
#14575029	2
#14575022	2
#14564612	2
C₁₉⋊#1309	2
C₁₉×#1962	2
#10302	19

subgroup

index

#14575029

#14575022

#14564612

C₁₉⋊#1309

C₁₉×#1962

#10302

Subgroups — #18085301

Conjugacy classes of subgroups

Complements

Maximal subgroups