Group #18087571 — subgroups

Subgroups — #18087571

Order 4864.

316 conjugacy classes of subgroups; only the 95 normal subgroups are shown.

normal subgroups only

This group has 316 conjugacy classes of subgroups — too many to draw. Only its 95 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	#14564617	C₂	1	1	yes	maximal, characteristic
2	#14563788	C₂	1	1	yes	maximal, characteristic
3	#14562406	C₂	1	1	yes	maximal, characteristic
4	#14562405	C₂	1	1	yes	maximal, characteristic
5	#14562038	C₂	1	1	yes	maximal, characteristic
6	#14561463	C₂	1	1	yes	maximal, characteristic
7	C₁₉×#1481	C₂	1	1	yes	maximal, characteristic
8	#11926597	C₂²	1	1	yes	characteristic
9	#11926568	C₂²	1	1	yes	characteristic
10	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
11	C₂×Dic₁₉⋊C₈	—	2	2	no	—
12	#11926390	C₂²	1	1	yes	characteristic
13	#11926303	—	2	2	no	—
14	#11926295	—	2	2	no	—
15	#11926294	—	2	2	no	—
16	Q₈⋊(C₁₉⋊C₈)	—	2	2	no	—
17	C₁₉×#533	C₂²	1	1	yes	characteristic
18	C₁₉×#431	C₂²	1	1	yes	characteristic
19	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
20	C₁₉×Q₈⋊C₈	—	2	2	no	—
21	C₂²×C₈×C₁₉	—	2	1	no	—
22	C₁₉×C₄⋊Q₈	Q₈	1	1	yes	characteristic
23	C₁₉×C₄⋊Q₈	Q₈	1	1	yes	characteristic
24	C₁₉×#125	—	2	1	no	—
25	C₁₉×C₂²⋊Q₈	—	2	1	no	—
26	C₁₉×C₂²⋊Q₈	—	2	1	no	—
27	C₄×Q₈×C₁₉	—	2	1	no	—
28	C₄×Q₈×C₁₉	—	2	1	no	—
29	C₁₉×#117	—	2	1	no	—
30	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
31	C₂×C₄×Dic₁₉	D₄	1	2	yes	—
32	C₂×#64520	—	2	1	no	—
33	C₂²×C₁₉⋊C₈	—	2	1	no	—
34	C₁₉×C₄⋊C₈	—	2	1	no	—
35	C₁₉×C₄⋊C₈	—	2	1	no	—
36	C₁₉×C₄⋊C₈	—	2	1	no	—
37	C₁₉×C₂²⋊C₈	—	2	1	no	—
38	C₄×C₈×C₁₉	D₄	1	2	yes	—
39	C₁₉⋊#95	—	2	1	no	—
40	C₁₉⋊#95	—	2	1	no	—
41	C₂²⋊(C₁₉⋊C₈)	—	2	1	no	—
42	Dic₁₉⋊C₈	—	4	4	no	—
43	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
44	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
45	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
46	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
47	C₄⋊(C₁₉⋊C₈)	—	2	1	no	—
48	C₄×C₁₉⋊C₈	D₄	1	2	yes	—
49	C₂×Q₈×C₁₉	—	2	1	no	—
50	C₂×Q₈×C₁₉	—	2	1	no	—
51	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
52	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
53	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
54	C₂²×Dic₁₉	—	2	2	no	—
55	C₂×C₈×C₁₉	—	2	2	no	—
56	C₂×C₈×C₁₉	—	4	1	no	—
57	C₂×C₈×C₁₉	—	4	2	no	—
58	C₄⋊C₄×C₁₉	—	2	1	no	—
59	C₄⋊C₄×C₁₉	—	2	1	no	—
60	C₄⋊C₄×C₁₉	—	2	1	no	—
61	C₄⋊C₄×C₁₉	—	2	1	no	—
62	C₄⋊C₄×C₁₉	—	4	1	no	—
63	C₄⋊C₄×C₁₉	—	4	1	no	—
64	C₂²⋊C₄×C₁₉	—	4	1	no	—
65	C₄²×C₁₉	—	4	1	no	—
66	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
67	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
68	C₄²×C₁₉	C₂×Q₈	1	1	yes	characteristic
69	C₄²×C₁₉	#41	1	1	yes	characteristic
70	C₄×Dic₁₉	—	2	2	no	—
71	C₄×Dic₁₉	SD₁₆	1	4	yes	—
72	#64520	—	4	2	no	—
73	C₂×C₁₉⋊C₈	—	2	2	no	—
74	C₂×C₁₉⋊C₈	—	4	1	no	—
75	C₂×C₁₉⋊C₈	—	4	1	no	—
76	C₂×C₁₉⋊C₈	—	4	2	no	—
77	#10670	—	19	1	no	maximal, Sylow
78	C₂³×C₁₉	#123	1	1	yes	characteristic
79	Q₈×C₁₉	—	4	2	no	—
80	Q₈×C₁₉	—	4	2	no	—
81	C₂×C₄×C₁₉	—	4	1	no	—
82	C₂×C₄×C₁₉	—	4	1	no	—
83	C₂×C₄×C₁₉	—	4	1	no	—
84	C₂×C₄×C₁₉	—	4	1	no	—
85	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
86	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
87	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
88	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
89	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
90	C₂×C₄×C₁₉	#127	1	1	yes	characteristic
91	C₂×C₄×C₁₉	C₂×SD₁₆	1	2	yes	—
92	C₂×C₄×C₁₉	#137	1	2	yes	—
93	C₂×Dic₁₉	—	2	4	no	—
94	C₂×Dic₁₉	—	4	2	no	—
95	C₂×Dic₁₉	—	4	2	no	—
96	C₈×C₁₉	—	4	2	no	—
97	C₈×C₁₉	—	8	1	no	—
98	C₁₉⋊C₈	—	4	2	no	—
99	C₁₉⋊C₈	—	8	1	no	—
100	C₁₉⋊C₈	—	8	1	no	—
101	#1995	—	19	1	no	—
102	#1843	—	19	1	no	—
103	#1570	—	19	1	no	—
104	#1570	—	19	1	no	—
105	#1481	—	19	1	no	—
106	#1481	D₁₉	1	1	yes	characteristic
107	#1274	—	19	1	no	—
108	C₂²×C₁₉	—	2	1	no	—
109	C₂²×C₁₉	—	2	1	no	—
110	C₂²×C₁₉	#399	1	1	yes	characteristic
111	C₂²×C₁₉	#483	1	2	yes	—
112	C₄×C₁₉	—	2	1	no	—
113	C₄×C₁₉	—	2	1	no	—
114	C₄×C₁₉	—	2	1	no	—
115	C₄×C₁₉	—	2	1	no	—
116	C₄×C₁₉	—	8	1	no	—
117	C₄×C₁₉	—	8	1	no	—
118	C₄×C₁₉	#475	1	2	yes	—
119	C₄×C₁₉	#492	1	1	yes	characteristic
120	C₄×C₁₉	#497	1	1	yes	characteristic
121	Dic₁₉	—	4	4	no	—
122	#533	C₂×D₁₉	1	1	yes	characteristic
123	#431	—	19	1	no	—
124	#431	C₂×D₁₉	1	1	yes	characteristic
125	#423	—	19	1	no	—
126	C₂×C₄⋊C₈	—	19	1	no	—
127	C₂×C₄⋊C₈	—	38	2	no	—
128	C₂×C₄⋊C₈	C₂×D₁₉	1	1	yes	characteristic
129	#376	—	19	1	no	—
130	#339	—	38	2	no	—
131	#334	—	38	2	no	—
132	#334	—	38	2	no	—
133	Q₈⋊C₈	—	2	2	no	—
134	Q₈⋊C₈	—	38	2	no	—
135	C₂×C₁₉	—	2	2	no	—
136	C₂×C₁₉	#2096	1	1	yes	characteristic
137	C₂×C₁₉	#2098	1	1	yes	characteristic
138	C₂×C₁₉	#2098	1	1	yes	characteristic
139	C₂×M₁₆	—	38	1	no	—
140	C₂²×C₈	—	2	1	no	—
141	C₂²×C₈	—	38	1	no	—
142	C₄⋊Q₈	Dic₃₈	1	1	yes	characteristic
143	C₄⋊Q₈	Dic₃₈	1	1	yes	characteristic
144	#125	—	2	1	no	—
145	C₂²⋊Q₈	—	2	1	no	—
146	C₂²⋊Q₈	—	2	1	no	—
147	C₄×Q₈	—	2	1	no	—
148	C₄×Q₈	—	2	1	no	—
149	#117	—	2	1	no	—
150	C₂×C₄²	—	19	2	no	—
151	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
152	C₄⋊C₈	—	2	1	no	—
153	C₄⋊C₈	—	2	1	no	—
154	C₄⋊C₈	—	2	1	no	—
155	C₄⋊C₈	—	38	1	no	—
156	C₄⋊C₈	—	38	1	no	—
157	C₄⋊C₈	—	38	1	no	—
158	C₄⋊C₈	—	38	1	no	—
159	C₄⋊C₈	—	38	1	no	—
160	C₄⋊C₈	—	76	4	no	—
161	C₂²⋊C₈	—	2	1	no	—
162	C₂²⋊C₈	—	38	1	no	—
163	C₄×C₈	—	19	2	no	—
164	C₄×C₈	C₂²⋊D₁₉	1	2	yes	—
165	#95	—	38	1	no	—
166	#95	—	38	1	no	—
167	C₁₉	#10670	1	1	yes	characteristic, complemented, Sylow
168	C₂×Q₈	—	2	1	no	—
169	C₂×Q₈	—	2	1	no	—
170	C₂²×C₄	—	38	2	no	—
171	C₂²×C₄	#64541	1	1	yes	characteristic
172	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
173	C₂²×C₄	#64543	1	1	yes	characteristic
174	M₁₆	—	76	2	no	—
175	C₂×C₈	—	2	2	no	—
176	C₂×C₈	—	4	1	no	—
177	C₂×C₈	—	4	2	no	—
178	C₂×C₈	—	38	2	no	—
179	C₂×C₈	—	76	1	no	—
180	C₂×C₈	—	76	1	no	—
181	C₂×C₈	—	76	2	no	—
182	C₄⋊C₄	—	2	1	no	—
183	C₄⋊C₄	—	2	1	no	—
184	C₄⋊C₄	—	2	1	no	—
185	C₄⋊C₄	—	2	1	no	—
186	C₄⋊C₄	—	4	1	no	—
187	C₄⋊C₄	—	4	1	no	—
188	C₂²⋊C₄	—	4	1	no	—
189	C₄²	—	4	1	no	—
190	C₄²	—	19	4	no	—
191	C₄²	—	38	2	no	—
192	C₄²	C₂×Dic₃₈	1	1	yes	characteristic
193	C₄²	D₄×D₁₉	1	1	yes	characteristic
194	C₄²	#64543	1	1	yes	characteristic
195	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
196	C₂³	#10597329	1	1	yes	characteristic
197	Q₈	—	4	2	no	—
198	Q₈	—	4	2	no	—
199	C₂×C₄	—	4	1	no	—
200	C₂×C₄	—	4	1	no	—
201	C₂×C₄	—	4	1	no	—
202	C₂×C₄	—	4	1	no	—
203	C₂×C₄	—	38	4	no	—
204	C₂×C₄	—	76	2	no	—
205	C₂×C₄	—	76	2	no	—
206	C₂×C₄	#10597324	1	1	yes	characteristic
207	C₂×C₄	#10597324	1	1	yes	characteristic
208	C₂×C₄	#10597329	1	1	yes	characteristic
209	C₂×C₄	SD₁₆×D₁₉	1	2	yes	—
210	C₂×C₄	#10597364	1	2	yes	—
211	C₂×C₄	#10597370	1	1	yes	characteristic
212	C₂×C₄	#10597381	1	1	yes	characteristic
213	C₂×C₄	#10597386	1	1	yes	characteristic
214	C₈	—	4	2	no	—
215	C₈	—	8	1	no	—
216	C₈	—	76	2	no	—
217	C₈	—	152	1	no	—
218	C₈	—	152	1	no	—
219	C₂²	—	2	1	no	—
220	C₂²	—	2	1	no	—
221	C₂²	#11926480	1	1	yes	characteristic
222	C₂²	#11926873	1	2	yes	—
223	C₄	—	2	1	no	—
224	C₄	—	2	1	no	—
225	C₄	—	2	1	no	—
226	C₄	—	2	1	no	—
227	C₄	—	8	1	no	—
228	C₄	—	8	1	no	—
229	C₄	—	76	4	no	—
230	C₄	#11926827	1	2	yes	—
231	C₄	#11926915	1	1	yes	characteristic
232	C₄	#11926937	1	1	yes	characteristic
233	C₂	—	2	2	no	—
234	C₂	#14565176	1	1	yes	characteristic
235	C₂	#14565188	1	1	yes	characteristic
236	C₂	#14565190	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14564617

C₂

yes

maximal, characteristic

#14563788

C₂

yes

maximal, characteristic

#14562406

C₂

yes

maximal, characteristic

#14562405

C₂

yes

maximal, characteristic

#14562038

C₂

yes

maximal, characteristic

#14561463

C₂

yes

maximal, characteristic

C₁₉×#1481

C₂

yes

maximal, characteristic

#11926597

C₂²

yes

characteristic

#11926568

C₂²

yes

characteristic

C₂×C₄⋊(C₁₉⋊C₈)

C₂²

yes

characteristic

C₂×Dic₁₉⋊C₈

—

#11926390

C₂²

yes

—

—

—

Q₈⋊(C₁₉⋊C₈)

—

C₁₉×#533

C₂²

yes

characteristic

C₁₉×#431

C₂²

yes

characteristic

C₂×C₁₉×C₄⋊C₈

C₂²

yes

characteristic

C₁₉×Q₈⋊C₈

—

C₂²×C₈×C₁₉

—

C₁₉×C₄⋊Q₈

Q₈

yes

characteristic

C₁₉×C₄⋊Q₈

Q₈

yes

characteristic

C₁₉×#125

—

C₁₉×C₂²⋊Q₈

—

C₁₉×C₂²⋊Q₈

—

C₄×Q₈×C₁₉

—

C₄×Q₈×C₁₉

—

C₁₉×#117

—

C₂×C₄²×C₁₉

C₂³

yes

characteristic

C₂×C₄×Dic₁₉

D₄

yes

—

C₂×#64520

—

C₂²×C₁₉⋊C₈

—

C₁₉×C₄⋊C₈

—

C₁₉×C₄⋊C₈

—

C₁₉×C₄⋊C₈

—

C₁₉×C₂²⋊C₈

—

C₄×C₈×C₁₉

D₄

yes

—

C₁₉⋊#95

—

C₁₉⋊#95

—

C₂²⋊(C₁₉⋊C₈)

—

Dic₁₉⋊C₈

—

C₄⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

—

C₄×C₁₉⋊C₈

D₄

yes

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂²×C₄×C₁₉

C₂×D₄

yes

C₂²×C₄×C₁₉

yes

C₂²×C₄×C₁₉

yes

C₂²×Dic₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

C₂×D₄

yes

characteristic

C₄²×C₁₉

C₂×D₄

yes

characteristic

C₄²×C₁₉

C₂×Q₈

yes

characteristic

C₄²×C₁₉

#41

yes

characteristic

C₄×Dic₁₉

—

C₄×Dic₁₉

SD₁₆

yes

—

#64520

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

—

C₂³×C₁₉

yes

Q₈×C₁₉

—

Q₈×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

C₂²⋊Q₈

yes

characteristic

C₂×C₄×C₁₉

C₂²⋊Q₈

yes

characteristic

C₂×C₄×C₁₉

C₂²⋊Q₈

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

C₂×SD₁₆

yes

—

C₂×C₄×C₁₉

#137

yes

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₈×C₁₉

—

C₈×C₁₉

—

C₁₉⋊C₈

—

C₁₉⋊C₈

—

100

C₁₉⋊C₈

—

101

#1995

—

102

#1843

—

103

#1570

—

104

#1570

—

105

#1481

—

106

#1481

D₁₉

yes

characteristic

107

#1274

—

108

C₂²×C₁₉

—

109

C₂²×C₁₉

—

110

C₂²×C₁₉

#399

yes

characteristic

111

C₂²×C₁₉

#483

yes

—

112

C₄×C₁₉

—

113

C₄×C₁₉

—

114

C₄×C₁₉

—

115

C₄×C₁₉

—

116

C₄×C₁₉

—

117

C₄×C₁₉

—

118

C₄×C₁₉

#475

yes

—

119

C₄×C₁₉

#492

yes

characteristic

120

C₄×C₁₉

#497

yes

characteristic

121

Dic₁₉

—

122

#533

C₂×D₁₉

yes

characteristic

123

#431

—

124

#431

C₂×D₁₉

yes

characteristic

125

#423

—

126

C₂×C₄⋊C₈

—

127

C₂×C₄⋊C₈

—

128

C₂×C₄⋊C₈

C₂×D₁₉

yes

characteristic

129

#376

—

130

#339

—

131

#334

—

132

#334

—

133

Q₈⋊C₈

—

134

Q₈⋊C₈

—

135

C₂×C₁₉

—

136

C₂×C₁₉

#2096

yes

characteristic

137

C₂×C₁₉

#2098

yes

characteristic

138

C₂×C₁₉

#2098

yes

characteristic

139

C₂×M₁₆

—

140

C₂²×C₈

—

141

C₂²×C₈

—

142

C₄⋊Q₈

Dic₃₈

yes

characteristic

143

C₄⋊Q₈

Dic₃₈

yes

characteristic

144

#125

—

145

C₂²⋊Q₈

—

146

C₂²⋊Q₈

—

147

C₄×Q₈

—

148

C₄×Q₈

—

149

#117

—

150

C₂×C₄²

—

151

C₂×C₄²

C₂²×D₁₉

yes

characteristic

152

C₄⋊C₈

—

153

C₄⋊C₈

—

154

C₄⋊C₈

—

155

C₄⋊C₈

—

156

C₄⋊C₈

—

157

C₄⋊C₈

—

158

C₄⋊C₈

—

159

C₄⋊C₈

—

160

C₄⋊C₈

—

161

C₂²⋊C₈

—

162

C₂²⋊C₈

—

163

C₄×C₈

—

164

C₄×C₈

C₂²⋊D₁₉

yes

—

165

#95

—

166

#95

—

167

C₁₉

#10670

yes

characteristic, complemented, Sylow

168

C₂×Q₈

—

169

C₂×Q₈

—

170

C₂²×C₄

—

171

C₂²×C₄

#64541

yes

characteristic

172

C₂²×C₄

D₄×D₁₉

yes

characteristic

173

C₂²×C₄

#64543

yes

characteristic

174

M₁₆

—

175

C₂×C₈

—

176

C₂×C₈

—

177

C₂×C₈

—

178

C₂×C₈

—

179

C₂×C₈

—

180

C₂×C₈

—

181

C₂×C₈

—

182

C₄⋊C₄

—

183

C₄⋊C₄

—

184

C₄⋊C₄

—

185

C₄⋊C₄

—

186

C₄⋊C₄

—

187

C₄⋊C₄

—

188

C₂²⋊C₄

—

189

C₄²

—

190

C₄²

—

191

C₄²

—

192

C₄²

C₂×Dic₃₈

yes

characteristic

193

C₄²

D₄×D₁₉

yes

characteristic

194

C₄²

#64543

yes

characteristic

195

C₄²

C₂×C₂²⋊D₁₉

yes

characteristic

196

C₂³

#10597329

yes

characteristic

197

Q₈

—

198

Q₈

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

#10597324

yes

characteristic

207

C₂×C₄

#10597324

yes

characteristic

208

C₂×C₄

#10597329

yes

characteristic

209

C₂×C₄

SD₁₆×D₁₉

yes

—

210

C₂×C₄

#10597364

yes

—

211

C₂×C₄

#10597370

yes

characteristic

212

C₂×C₄

#10597381

yes

characteristic

213

C₂×C₄

#10597386

yes

characteristic

214

C₈

—

215

C₈

—

216

C₈

—

217

C₈

—

152

—

218

C₈

—

152

—

219

C₂²

—

220

C₂²

—

221

C₂²

#11926480

yes

characteristic

222

C₂²

#11926873

yes

—

223

C₄

—

224

C₄

—

225

C₄

—

226

C₄

—

227

C₄

—

228

C₄

—

229

C₄

—

230

C₄

#11926827

yes

—

231

C₄

#11926915

yes

characteristic

232

C₄

#11926937

yes

characteristic

233

C₂

—

234

C₂

#14565176

yes

characteristic

235

C₂

#14565188

yes

characteristic

236

C₂

#14565190

yes

characteristic

	subgroup	G/H
center	C₂×C₄	#10597386
commutator, cosocle	C₂×C₄²×C₁₉	C₂³
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1481	C₂
socle	C₂²×C₁₉	#399
prime radical	C₂³×C₁₉	#123
hypercenter	#1481	D₁₉
hypocenter	C₁₉	#10670
LCS	G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1481

subgroup

G/H

center

C₂×C₄

#10597386

commutator, cosocle

C₂×C₄²×C₁₉

C₂³

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting

C₁₉×#1481

C₂

C₂²×C₁₉

C₂³×C₁₉

D₁₉

C₁₉

G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1481

N	H ≅ G/N	type
167. C₁₉	#10670	semidirect

H ≅ G/N

type

167. C₁₉

#10670

semidirect

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

subgroup	index
#14564617	2
#14563788	2
#14562406	2
#14562405	2
#14562038	2
#14561463	2
C₁₉×#1481	2
#10670	19

subgroup

index

C₁₉×#1481

Subgroups — #18087571

Conjugacy classes of subgroups

Complements

Maximal subgroups