Group #18085164 — subgroups

Subgroups — #18085164

Order 4864.

510 conjugacy classes of subgroups; only the 139 normal subgroups are shown.

normal subgroups only

This group has 510 conjugacy classes of subgroups — too many to draw. Only its 139 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×#11926949	C₂	1	1	yes	maximal, characteristic
2	C₂×#11926839	C₂	1	2	yes	maximal
3	C₂×#11926292	C₂	1	2	yes	maximal
4	#14561470	C₂	1	1	yes	maximal, characteristic
5	C₁₉×#1984	C₂	1	1	yes	maximal, characteristic
6	C₂×#10597315	C₂²	1	2	yes	—
7	#11926949	—	2	4	no	—
8	#11926839	—	2	4	no	—
9	#11926839	—	2	4	no	—
10	C₂×#10597275	—	2	2	no	—
11	C₂×#10597264	—	2	2	no	—
12	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	2	yes	—
13	C₂×#10597292	—	2	2	no	—
14	#11926292	—	2	4	no	—
15	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
16	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
17	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
18	C₁₉×#336	—	2	2	no	—
19	C₂²×Q₈×C₁₉	D₄	1	1	yes	characteristic
20	C₂²×Dic₃₈	—	2	2	no	—
21	C₂²×C₈×C₁₉	—	2	1	no	—
22	C₂²×C₈×C₁₉	D₄	1	2	yes	—
23	C₄×Q₈×C₁₉	—	2	2	no	—
24	C₄×Q₈×C₁₉	—	2	2	no	—
25	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
26	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
27	C₂×C₄²×C₁₉	—	2	1	no	—
28	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
29	C₂×C₄⋊Dic₁₉	—	2	2	no	—
30	C₂×C₄⋊Dic₁₉	—	2	2	no	—
31	C₂²×C₁₉⋊C₈	—	2	2	no	—
32	#10597315	—	2	2	no	—
33	#10597315	—	2	2	no	—
34	#10597315	—	2	2	no	—
35	#10597315	D₄	1	4	yes	—
36	C₁₉×C₄⋊C₈	—	2	2	no	—
37	C₄×C₈×C₁₉	—	2	2	no	—
38	#10597292	—	2	8	no	—
39	#10597275	—	2	8	no	—
40	#10597264	—	2	8	no	—
41	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
42	C₄⋊(C₁₉⋊C₈)	D₄	1	4	yes	—
43	C₂×Q₈×C₁₉	—	2	1	no	—
44	C₂×Q₈×C₁₉	—	2	2	no	—
45	C₂×Q₈×C₁₉	—	2	2	no	—
46	C₂×Q₈×C₁₉	Q₁₆	1	2	yes	—
47	C₂²×C₄×C₁₉	—	2	1	no	—
48	C₂²×C₄×C₁₉	—	2	1	no	—
49	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
50	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
51	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
52	C₂²×Dic₁₉	—	4	2	no	—
53	C₂×Dic₃₈	—	2	4	no	—
54	C₂×Dic₃₈	—	4	2	no	—
55	C₂×Dic₃₈	—	8	4	no	—
56	C₂×C₈×C₁₉	—	2	2	no	—
57	C₂×C₈×C₁₉	—	2	2	no	—
58	C₂×C₈×C₁₉	—	4	1	no	—
59	C₂×C₈×C₁₉	—	4	2	no	—
60	C₂×C₈×C₁₉	Q₁₆	1	4	yes	—
61	C₄⋊C₄×C₁₉	—	2	2	no	—
62	C₄⋊C₄×C₁₉	—	4	2	no	—
63	C₄²×C₁₉	—	4	1	no	—
64	C₄²×C₁₉	—	4	1	no	—
65	C₄²×C₁₉	C₂×D₄	1	2	yes	—
66	C₄²×C₁₉	C₂×D₄	1	2	yes	—
67	C₄⋊Dic₁₉	—	2	4	no	—
68	C₄⋊Dic₁₉	—	2	4	no	—
69	C₄⋊Dic₁₉	—	4	2	no	—
70	C₄⋊Dic₁₉	—	4	2	no	—
71	C₂×C₁₉⋊C₈	—	2	4	no	—
72	C₂×C₁₉⋊C₈	—	4	2	no	—
73	C₂×C₁₉⋊C₈	—	4	2	no	—
74	#10279	—	19	1	no	maximal, Sylow
75	C₂³×C₁₉	#121	1	1	yes	characteristic
76	Q₈×C₁₉	—	2	4	no	—
77	Q₈×C₁₉	—	4	2	no	—
78	C₂×C₄×C₁₉	—	2	2	no	—
79	C₂×C₄×C₁₉	—	2	2	no	—
80	C₂×C₄×C₁₉	—	4	1	no	—
81	C₂×C₄×C₁₉	—	4	1	no	—
82	C₂×C₄×C₁₉	—	4	1	no	—
83	C₂×C₄×C₁₉	—	4	2	no	—
84	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
85	C₂×C₄×C₁₉	#120	1	2	yes	—
86	C₂×C₄×C₁₉	#121	1	2	yes	—
87	C₂×C₄×C₁₉	#127	1	1	yes	characteristic
88	C₂×C₄×C₁₉	C₂×Q₁₆	1	2	yes	—
89	C₂×C₄×C₁₉	C₂×Q₁₆	1	1	yes	characteristic
90	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
91	C₂×C₄×C₁₉	#137	1	2	yes	—
92	C₂×C₄×C₁₉	#137	1	2	yes	—
93	C₂×Dic₁₉	—	4	4	no	—
94	C₂×Dic₁₉	—	8	4	no	—
95	Dic₃₈	—	8	4	no	—
96	Dic₃₈	—	8	4	no	—
97	C₈×C₁₉	—	2	4	no	—
98	C₈×C₁₉	—	8	1	no	—
99	C₁₉⋊C₈	—	4	4	no	—
100	C₂×#500	—	19	1	no	—
101	C₂×#477	—	19	2	no	—
102	#1984	D₁₉	1	1	yes	characteristic
103	C₂×#333	—	19	2	no	—
104	#1277	—	19	1	no	—
105	C₂²×C₁₉	#392	1	1	yes	characteristic
106	C₂²×C₁₉	#462	1	2	yes	—
107	C₂²×C₁₉	#467	1	1	yes	characteristic
108	C₂²×C₁₉	#470	1	1	yes	characteristic
109	C₂²×C₁₉	#472	1	2	yes	—
110	C₄×C₁₉	—	2	2	no	—
111	C₄×C₁₉	—	4	2	no	—
112	C₄×C₁₉	—	8	1	no	—
113	C₄×C₁₉	#451	1	2	yes	—
114	C₄×C₁₉	#451	1	2	yes	—
115	C₄×C₁₉	#452	1	2	yes	—
116	C₄×C₁₉	#494	1	1	yes	characteristic
117	C₄×C₁₉	#497	1	1	yes	characteristic
118	Dic₁₉	—	8	4	no	—
119	C₂×C₄⋊Q₈	—	19	2	no	—
120	C₂×C₄×Q₈	C₂×D₁₉	1	1	yes	characteristic
121	#500	—	38	4	no	—
122	#477	—	38	4	no	—
123	#477	—	38	4	no	—
124	C₂×#107	—	38	2	no	—
125	C₂×#107	—	38	2	no	—
126	C₂×C₄⋊C₈	—	19	2	no	—
127	C₂×C₄⋊C₈	C₂×D₁₉	1	1	yes	characteristic
128	C₂×#103	—	38	2	no	—
129	C₂×C₄×C₈	C₂×D₁₉	1	1	yes	characteristic
130	#336	—	2	2	no	—
131	#333	—	38	4	no	—
132	C₂×C₁₉	#1676	1	2	yes	—
133	C₂×C₁₉	#1696	1	2	yes	—
134	C₂×C₁₉	#2001	1	1	yes	characteristic
135	C₂×C₁₉	#2016	1	1	yes	characteristic
136	C₂×C₁₉	#2018	1	1	yes	characteristic
137	C₂²×Q₈	—	38	2	no	—
138	C₂²×Q₈	D₇₆	1	1	yes	characteristic
139	C₂²×C₈	—	2	1	no	—
140	C₂²×C₈	—	38	2	no	—
141	C₂²×C₈	C₂²⋊D₁₉	1	2	yes	—
142	C₄⋊Q₈	—	19	4	no	—
143	C₄⋊Q₈	—	38	2	no	—
144	C₄⋊Q₈	—	38	2	no	—
145	C₄⋊Q₈	—	38	2	no	—
146	C₄×Q₈	—	2	2	no	—
147	C₄×Q₈	—	2	2	no	—
148	C₂×C₄⋊C₄	—	2	1	no	—
149	C₂×C₄⋊C₄	—	38	2	no	—
150	C₂×C₄⋊C₄	—	38	2	no	—
151	C₂×C₄⋊C₄	D₇₆	1	1	yes	characteristic
152	C₂×C₄²	—	2	1	no	—
153	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
154	#107	—	38	8	no	—
155	#107	—	38	8	no	—
156	C₄⋊C₈	—	2	2	no	—
157	C₄⋊C₈	—	19	4	no	—
158	C₄⋊C₈	—	38	2	no	—
159	#103	—	38	8	no	—
160	C₄×C₈	—	2	2	no	—
161	C₁₉	#10279	1	1	yes	characteristic, complemented, Sylow
162	C₂×Q₈	—	2	1	no	—
163	C₂×Q₈	—	2	2	no	—
164	C₂×Q₈	—	2	2	no	—
165	C₂×Q₈	—	38	4	no	—
166	C₂×Q₈	—	76	2	no	—
167	C₂×Q₈	—	152	4	no	—
168	C₂×Q₈	Dic₇₆	1	2	yes	—
169	C₂²×C₄	—	2	1	no	—
170	C₂²×C₄	—	2	1	no	—
171	C₂²×C₄	—	76	2	no	—
172	C₂²×C₄	C₂×D₇₆	1	1	yes	characteristic
173	C₂²×C₄	#64541	1	1	yes	characteristic
174	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
175	C₂×C₈	—	2	2	no	—
176	C₂×C₈	—	2	2	no	—
177	C₂×C₈	—	4	1	no	—
178	C₂×C₈	—	4	2	no	—
179	C₂×C₈	—	38	4	no	—
180	C₂×C₈	—	76	2	no	—
181	C₂×C₈	—	76	2	no	—
182	C₂×C₈	#64528	1	4	yes	—
183	C₄⋊C₄	—	2	2	no	—
184	C₄⋊C₄	—	4	2	no	—
185	C₄⋊C₄	—	38	4	no	—
186	C₄⋊C₄	—	38	4	no	—
187	C₄⋊C₄	—	76	2	no	—
188	C₄⋊C₄	—	76	2	no	—
189	C₄²	—	4	1	no	—
190	C₄²	—	4	1	no	—
191	C₄²	D₄×D₁₉	1	2	yes	—
192	C₄²	D₄×D₁₉	1	2	yes	—
193	C₂³	#10597376	1	1	yes	characteristic
194	Q₈	—	2	4	no	—
195	Q₈	—	4	2	no	—
196	Q₈	—	152	4	no	—
197	Q₈	—	152	4	no	—
198	C₂×C₄	—	2	2	no	—
199	C₂×C₄	—	2	2	no	—
200	C₂×C₄	—	4	1	no	—
201	C₂×C₄	—	4	1	no	—
202	C₂×C₄	—	4	2	no	—
203	C₂×C₄	—	4	1	no	—
204	C₂×C₄	—	76	4	no	—
205	C₂×C₄	—	152	4	no	—
206	C₂×C₄	#10597328	1	2	yes	—
207	C₂×C₄	#10597330	1	2	yes	—
208	C₂×C₄	#10597350	1	1	yes	characteristic
209	C₂×C₄	C₂×Dic₇₆	1	1	yes	characteristic
210	C₂×C₄	#10597355	1	2	yes	—
211	C₂×C₄	#10597383	1	1	yes	characteristic
212	C₂×C₄	#10597386	1	1	yes	characteristic
213	C₂×C₄	C₂×#64528	1	2	yes	—
214	C₂×C₄	#10597397	1	2	yes	—
215	C₈	—	2	4	no	—
216	C₈	—	8	1	no	—
217	C₈	—	76	4	no	—
218	C₂²	#11926453	1	1	yes	characteristic
219	C₂²	#11926754	1	2	yes	—
220	C₂²	#11926785	1	1	yes	characteristic
221	C₂²	#11926802	1	1	yes	characteristic
222	C₂²	#11926814	1	2	yes	—
223	C₄	—	2	2	no	—
224	C₄	—	4	2	no	—
225	C₄	—	8	1	no	—
226	C₄	—	152	4	no	—
227	C₄	#11926699	1	2	yes	—
228	C₄	#11926702	1	2	yes	—
229	C₄	#11926708	1	2	yes	—
230	C₄	#11926923	1	1	yes	characteristic
231	C₄	#11926939	1	1	yes	characteristic
232	C₂	#14563039	1	2	yes	—
233	C₂	#14563163	1	2	yes	—
234	C₂	#14564645	1	1	yes	characteristic
235	C₂	#14564734	1	1	yes	characteristic
236	C₂	#14564744	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#11926949

C₂

yes

maximal, characteristic

C₂×#11926839

C₂

yes

maximal

C₂×#11926292

C₂

yes

maximal

#14561470

C₂

yes

maximal, characteristic

C₁₉×#1984

C₂

yes

maximal, characteristic

C₂×#10597315

C₂²

yes

—

—

—

—

—

—

C₂×C₄⋊(C₁₉⋊C₈)

C₂²

yes

—

C₂×#10597292

—

#11926292

—

C₂×C₄×Q₈×C₁₉

C₂²

yes

characteristic

C₂×C₁₉×C₄⋊C₈

C₂²

yes

characteristic

C₂×C₄×C₈×C₁₉

C₂²

yes

characteristic

C₁₉×#336

—

C₂²×Q₈×C₁₉

D₄

yes

characteristic

C₂²×Dic₃₈

—

C₂²×C₈×C₁₉

—

C₂²×C₈×C₁₉

D₄

yes

—

C₄×Q₈×C₁₉

—

C₄×Q₈×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

D₄

yes

characteristic

C₂×C₄²×C₁₉

—

C₂×C₄²×C₁₉

C₂³

yes

characteristic

C₂×C₄⋊Dic₁₉

—

C₂×C₄⋊Dic₁₉

—

C₂²×C₁₉⋊C₈

—

—

—

—

D₄

yes

—

C₁₉×C₄⋊C₈

—

C₄×C₈×C₁₉

—

#10597292

—

#10597275

—

#10597264

—

C₄⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

D₄

yes

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

Q₁₆

yes

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₉

#41

yes

characteristic

C₂²×Dic₁₉

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

Q₁₆

yes

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

C₂×D₄

yes

—

C₄²×C₁₉

C₂×D₄

yes

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

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

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

#120

yes

characteristic

C₂×C₄×C₁₉

#120

yes

—

C₂×C₄×C₁₉

#121

yes

—

C₂×C₄×C₁₉

#127

yes

characteristic

C₂×C₄×C₁₉

C₂×Q₁₆

yes

—

C₂×C₄×C₁₉

C₂×Q₁₆

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

—

C₂×C₄×C₁₉

#137

yes

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

Dic₃₈

—

Dic₃₈

—

C₈×C₁₉

—

C₈×C₁₉

—

C₁₉⋊C₈

—

100

C₂×#500

—

101

C₂×#477

—

102

#1984

D₁₉

yes

characteristic

103

C₂×#333

—

104

#1277

—

105

C₂²×C₁₉

#392

yes

characteristic

106

C₂²×C₁₉

#462

yes

—

107

C₂²×C₁₉

#467

yes

characteristic

108

C₂²×C₁₉

#470

yes

characteristic

109

C₂²×C₁₉

#472

yes

—

110

C₄×C₁₉

—

111

C₄×C₁₉

—

112

C₄×C₁₉

—

113

C₄×C₁₉

#451

yes

—

114

C₄×C₁₉

#451

yes

—

115

C₄×C₁₉

#452

yes

—

116

C₄×C₁₉

#494

yes

characteristic

117

C₄×C₁₉

#497

yes

characteristic

118

Dic₁₉

—

119

C₂×C₄⋊Q₈

—

120

C₂×C₄×Q₈

C₂×D₁₉

yes

characteristic

121

#500

—

122

#477

—

123

#477

—

124

C₂×#107

—

125

C₂×#107

—

126

C₂×C₄⋊C₈

—

127

C₂×C₄⋊C₈

C₂×D₁₉

yes

characteristic

128

C₂×#103

—

129

C₂×C₄×C₈

C₂×D₁₉

yes

characteristic

130

#336

—

131

#333

—

132

C₂×C₁₉

#1676

yes

—

133

C₂×C₁₉

#1696

yes

—

134

C₂×C₁₉

#2001

yes

characteristic

135

C₂×C₁₉

#2016

yes

characteristic

136

C₂×C₁₉

#2018

yes

characteristic

137

C₂²×Q₈

—

138

C₂²×Q₈

D₇₆

yes

characteristic

139

C₂²×C₈

—

140

C₂²×C₈

—

141

C₂²×C₈

C₂²⋊D₁₉

yes

—

142

C₄⋊Q₈

—

143

C₄⋊Q₈

—

144

C₄⋊Q₈

—

145

C₄⋊Q₈

—

146

C₄×Q₈

—

147

C₄×Q₈

—

148

C₂×C₄⋊C₄

—

149

C₂×C₄⋊C₄

—

150

C₂×C₄⋊C₄

—

151

C₂×C₄⋊C₄

D₇₆

yes

characteristic

152

C₂×C₄²

—

153

C₂×C₄²

C₂²×D₁₉

yes

characteristic

154

#107

—

155

#107

—

156

C₄⋊C₈

—

157

C₄⋊C₈

—

158

C₄⋊C₈

—

159

#103

—

160

C₄×C₈

—

161

C₁₉

#10279

yes

characteristic, complemented, Sylow

162

C₂×Q₈

—

163

C₂×Q₈

—

164

C₂×Q₈

—

165

C₂×Q₈

—

166

C₂×Q₈

—

167

C₂×Q₈

—

152

—

168

C₂×Q₈

Dic₇₆

yes

—

169

C₂²×C₄

—

170

C₂²×C₄

—

171

C₂²×C₄

—

172

C₂²×C₄

C₂×D₇₆

yes

characteristic

173

C₂²×C₄

#64541

yes

characteristic

174

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

175

C₂×C₈

—

176

C₂×C₈

—

177

C₂×C₈

—

178

C₂×C₈

—

179

C₂×C₈

—

180

C₂×C₈

—

181

C₂×C₈

—

182

C₂×C₈

#64528

yes

—

183

C₄⋊C₄

—

184

C₄⋊C₄

—

185

C₄⋊C₄

—

186

C₄⋊C₄

—

187

C₄⋊C₄

—

188

C₄⋊C₄

—

189

C₄²

—

190

C₄²

—

191

C₄²

D₄×D₁₉

yes

—

192

C₄²

D₄×D₁₉

yes

—

193

C₂³

#10597376

yes

characteristic

194

Q₈

—

195

Q₈

—

196

Q₈

—

152

—

197

Q₈

—

152

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

152

—

206

C₂×C₄

#10597328

yes

—

207

C₂×C₄

#10597330

yes

—

208

C₂×C₄

#10597350

yes

characteristic

209

C₂×C₄

C₂×Dic₇₆

yes

characteristic

210

C₂×C₄

#10597355

yes

—

211

C₂×C₄

#10597383

yes

characteristic

212

C₂×C₄

#10597386

yes

characteristic

213

C₂×C₄

C₂×#64528

yes

—

214

C₂×C₄

#10597397

yes

—

215

C₈

—

216

C₈

—

217

C₈

—

218

C₂²

#11926453

yes

characteristic

219

C₂²

#11926754

yes

—

220

C₂²

#11926785

yes

characteristic

221

C₂²

#11926802

yes

characteristic

222

C₂²

#11926814

yes

—

223

C₄

—

224

C₄

—

225

C₄

—

226

C₄

—

152

—

227

C₄

#11926699

yes

—

228

C₄

#11926702

yes

—

229

C₄

#11926708

yes

—

230

C₄

#11926923

yes

characteristic

231

C₄

#11926939

yes

characteristic

232

C₂

#14563039

yes

—

233

C₂

#14563163

yes

—

234

C₂

#14564645

yes

characteristic

235

C₂

#14564734

yes

characteristic

236

C₂

#14564744

yes

characteristic

	subgroup	G/H
center	C₂³	#10597376
commutator, cosocle	C₂×C₄²×C₁₉	C₂³
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1984	C₂
socle, prime radical	C₂³×C₁₉	#121
hypercenter	#1984	D₁₉
hypocenter	C₁₉	#10279
LCS	G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1984

subgroup

G/H

center

C₂³

#10597376

commutator, cosocle

C₂×C₄²×C₁₉

C₂³

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting

C₁₉×#1984

C₂

C₂³×C₁₉

D₁₉

C₁₉

G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1984

N	H ≅ G/N	type
161. C₁₉	#10279	semidirect

H ≅ G/N

type

161. C₁₉

#10279

semidirect

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

subgroup	index
C₂×#11926949	2
C₂×#11926839	2
C₂×#11926292	2
#14561470	2
C₁₉×#1984	2
#10279	19

subgroup

index

C₁₉×#1984

Subgroups — #18085164

Conjugacy classes of subgroups

Complements

Maximal subgroups