Group #18071839 — subgroups

Subgroups — #18071839

Order 4864.

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

normal subgroups only

This group has 394 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	#14565198	C₂	1	2	yes	maximal
2	#14565173	C₂	1	1	yes	maximal, characteristic
3	#14561461	C₂	1	1	yes	maximal, characteristic
4	#14561458	C₂	1	2	yes	maximal
5	C₁₉×#2734	C₂	1	1	yes	maximal, characteristic
6	C₂×#10597264	—	2	1	no	—
7	C₂×#10597292	—	2	1	no	—
8	#11926414	C₂²	1	1	yes	characteristic
9	#11926306	—	2	2	no	—
10	#11926306	—	2	2	no	—
11	#11926299	C₂²	1	1	yes	characteristic
12	#11926299	C₂²	1	2	yes	—
13	C₂×C₁₉×C₄⋊Q₈	—	2	1	no	—
14	C₁₉×#398	—	2	1	no	—
15	C₁₉×#395	—	2	2	no	—
16	C₁₉×#391	C₂²	1	1	yes	characteristic
17	C₁₉×#389	C₂²	1	2	yes	—
18	C₁₉×#387	—	2	2	no	—
19	C₂²×Q₈×C₁₉	—	2	1	no	—
20	C₂²×Q₈×C₁₉	D₄	1	1	yes	characteristic
21	C₁₉×C₄⋊Q₈	—	4	2	no	—
22	C₁₉×C₄⋊Q₈	—	4	2	no	—
23	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
24	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
25	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
26	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
27	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
28	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
29	C₂×C₄²×C₁₉	—	2	1	no	—
30	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
31	C₂×C₄⋊Dic₁₉	—	2	1	no	—
32	C₂×C₄⋊Dic₁₉	—	2	2	no	—
33	C₂²×C₁₉⋊C₈	—	2	1	no	—
34	C₂²×C₁₉⋊C₈	—	2	2	no	—
35	C₁₉×#95	—	2	1	no	—
36	C₁₉×#95	—	2	2	no	—
37	C₁₉×#95	—	2	2	no	—
38	C₁₉×#95	—	2	2	no	—
39	#10597292	—	4	2	no	—
40	#10597264	—	4	2	no	—
41	C₂×Q₈×C₁₉	—	2	1	no	—
42	C₂×Q₈×C₁₉	—	4	2	no	—
43	C₂×Q₈×C₁₉	—	4	1	no	—
44	C₂×Q₈×C₁₉	—	4	1	no	—
45	C₂×Q₈×C₁₉	—	8	1	no	—
46	C₂×Q₈×C₁₉	—	8	1	no	—
47	C₂×Q₈×C₁₉	SD₁₆	1	2	yes	—
48	C₂²×C₄×C₁₉	—	2	2	no	—
49	C₂²×C₄×C₁₉	—	2	1	no	—
50	C₂²×C₄×C₁₉	—	2	2	no	—
51	C₂²×C₄×C₁₉	—	2	1	no	—
52	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
53	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
54	C₂²×Dic₁₉	—	4	1	no	—
55	C₄⋊C₄×C₁₉	—	2	2	no	—
56	C₄⋊C₄×C₁₉	—	4	2	no	—
57	C₄⋊C₄×C₁₉	—	4	1	no	—
58	C₄⋊C₄×C₁₉	—	4	4	no	—
59	C₄⋊C₄×C₁₉	—	4	2	no	—
60	C₄⋊C₄×C₁₉	—	4	2	no	—
61	C₄⋊C₄×C₁₉	—	8	1	no	—
62	C₄⋊C₄×C₁₉	Q₁₆	1	4	yes	—
63	C₄²×C₁₉	—	4	1	no	—
64	C₄²×C₁₉	—	4	2	no	—
65	C₄⋊Dic₁₉	—	4	1	no	—
66	C₄⋊Dic₁₉	—	4	1	no	—
67	C₄⋊Dic₁₉	—	4	4	no	—
68	C₂×C₁₉⋊C₈	—	2	2	no	—
69	C₂×C₁₉⋊C₈	—	4	1	no	—
70	C₂×C₁₉⋊C₈	—	4	1	no	—
71	C₂×C₁₉⋊C₈	—	4	2	no	—
72	C₂×C₁₉⋊C₈	—	4	2	no	—
73	C₂×C₁₉⋊C₈	—	4	2	no	—
74	#7829	—	19	1	no	maximal, Sylow
75	C₂³×C₁₉	#120	1	1	yes	characteristic
76	Q₈×C₁₉	—	4	2	no	—
77	Q₈×C₁₉	—	8	1	no	—
78	Q₈×C₁₉	—	8	4	no	—
79	C₂×C₄×C₁₉	—	2	1	no	—
80	C₂×C₄×C₁₉	—	2	2	no	—
81	C₂×C₄×C₁₉	—	2	2	no	—
82	C₂×C₄×C₁₉	—	2	1	no	—
83	C₂×C₄×C₁₉	—	2	2	no	—
84	C₂×C₄×C₁₉	—	2	4	no	—
85	C₂×C₄×C₁₉	—	4	2	no	—
86	C₂×C₄×C₁₉	—	4	1	no	—
87	C₂×C₄×C₁₉	—	4	2	no	—
88	C₂×C₄×C₁₉	—	4	1	no	—
89	C₂×C₄×C₁₉	—	4	2	no	—
90	C₂×C₄×C₁₉	—	4	1	no	—
91	C₂×C₄×C₁₉	—	4	2	no	—
92	C₂×C₄×C₁₉	—	4	2	no	—
93	C₂×C₄×C₁₉	—	4	2	no	—
94	C₂×C₄×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
95	C₂×C₄×C₁₉	C₂×Q₁₆	1	2	yes	—
96	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
97	C₂×C₄×C₁₉	#137	1	2	yes	—
98	C₂×Dic₁₉	—	8	1	no	—
99	C₂×Dic₁₉	—	8	2	no	—
100	C₁₉⋊C₈	—	4	2	no	—
101	C₁₉⋊C₈	—	8	2	no	—
102	#2734	D₁₉	1	1	yes	characteristic
103	#2100	—	19	2	no	—
104	#2095	—	19	1	no	—
105	#1272	—	19	1	no	—
106	#1271	—	19	2	no	—
107	C₂²×C₁₉	#450	1	1	yes	characteristic
108	C₂²×C₁₉	#451	1	2	yes	—
109	C₂²×C₁₉	#453	1	1	yes	characteristic
110	C₂²×C₁₉	#454	1	2	yes	—
111	C₂²×C₁₉	#458	1	1	yes	characteristic
112	C₄×C₁₉	—	2	1	no	—
113	C₄×C₁₉	—	2	1	no	—
114	C₄×C₁₉	—	2	2	no	—
115	C₄×C₁₉	—	2	2	no	—
116	C₄×C₁₉	—	4	2	no	—
117	C₄×C₁₉	—	4	4	no	—
118	C₄×C₁₉	—	8	2	no	—
119	C₄×C₁₉	—	8	1	no	—
120	Dic₁₉	—	16	1	no	—
121	C₂×C₄⋊Q₈	—	2	1	no	—
122	C₂×#107	—	38	1	no	—
123	C₂×#103	—	38	1	no	—
124	#398	—	2	1	no	—
125	#395	—	2	2	no	—
126	#391	C₂×D₁₉	1	1	yes	characteristic
127	#389	C₂×D₁₉	1	2	yes	—
128	#387	—	2	2	no	—
129	#384	—	19	1	no	—
130	#340	—	38	2	no	—
131	#340	—	38	2	no	—
132	#336	—	19	1	no	—
133	#336	—	19	2	no	—
134	C₂×C₁₉	#1613	1	1	yes	characteristic
135	C₂×C₁₉	#1617	1	2	yes	—
136	C₂×C₁₉	#1633	1	1	yes	characteristic
137	C₂×C₁₉	#1637	1	2	yes	—
138	C₂×C₁₉	#1657	1	1	yes	characteristic
139	C₂²×Q₈	—	2	1	no	—
140	C₂²×Q₈	C₂²⋊D₁₉	1	1	yes	characteristic
141	C₂²×C₈	—	38	1	no	—
142	C₂²×C₈	—	38	2	no	—
143	C₄⋊Q₈	—	4	2	no	—
144	C₄⋊Q₈	—	4	2	no	—
145	C₂×C₄⋊C₄	—	2	2	no	—
146	C₂×C₄⋊C₄	—	2	2	no	—
147	C₂×C₄⋊C₄	—	2	1	no	—
148	C₂×C₄⋊C₄	—	38	2	no	—
149	C₂×C₄⋊C₄	—	38	1	no	—
150	C₂×C₄⋊C₄	C₂²⋊D₁₉	1	2	yes	—
151	C₂×C₄⋊C₄	C₂²⋊D₁₉	1	2	yes	—
152	C₂×C₄⋊C₄	C₂²⋊D₁₉	1	1	yes	characteristic
153	C₂×C₄²	—	2	1	no	—
154	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
155	#107	—	76	2	no	—
156	#103	—	76	2	no	—
157	#95	—	2	1	no	—
158	#95	—	2	2	no	—
159	#95	—	2	2	no	—
160	#95	—	2	2	no	—
161	C₁₉	#7829	1	1	yes	characteristic, complemented, Sylow
162	C₂×Q₈	—	2	1	no	—
163	C₂×Q₈	—	4	2	no	—
164	C₂×Q₈	—	4	1	no	—
165	C₂×Q₈	—	4	1	no	—
166	C₂×Q₈	—	8	1	no	—
167	C₂×Q₈	—	8	1	no	—
168	C₂×Q₈	#64526	1	2	yes	—
169	C₂²×C₄	—	2	2	no	—
170	C₂²×C₄	—	2	1	no	—
171	C₂²×C₄	—	2	1	no	—
172	C₂²×C₄	—	2	2	no	—
173	C₂²×C₄	—	76	1	no	—
174	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
175	C₂²×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
176	C₂×C₈	—	38	2	no	—
177	C₂×C₈	—	76	1	no	—
178	C₂×C₈	—	76	1	no	—
179	C₂×C₈	—	76	2	no	—
180	C₂×C₈	—	76	2	no	—
181	C₂×C₈	—	76	2	no	—
182	C₄⋊C₄	—	2	2	no	—
183	C₄⋊C₄	—	4	1	no	—
184	C₄⋊C₄	—	4	2	no	—
185	C₄⋊C₄	—	4	4	no	—
186	C₄⋊C₄	—	4	2	no	—
187	C₄⋊C₄	—	4	2	no	—
188	C₄⋊C₄	—	8	1	no	—
189	C₄⋊C₄	—	76	1	no	—
190	C₄⋊C₄	—	76	1	no	—
191	C₄⋊C₄	—	76	4	no	—
192	C₄⋊C₄	#64528	1	4	yes	—
193	C₄²	—	4	1	no	—
194	C₄²	—	4	2	no	—
195	C₂³	#10597399	1	1	yes	characteristic
196	Q₈	—	4	2	no	—
197	Q₈	—	8	1	no	—
198	Q₈	—	8	4	no	—
199	C₂×C₄	—	2	1	no	—
200	C₂×C₄	—	2	2	no	—
201	C₂×C₄	—	2	2	no	—
202	C₂×C₄	—	2	1	no	—
203	C₂×C₄	—	2	2	no	—
204	C₂×C₄	—	2	4	no	—
205	C₂×C₄	—	4	2	no	—
206	C₂×C₄	—	4	1	no	—
207	C₂×C₄	—	4	2	no	—
208	C₂×C₄	—	4	1	no	—
209	C₂×C₄	—	4	2	no	—
210	C₂×C₄	—	4	1	no	—
211	C₂×C₄	—	4	2	no	—
212	C₂×C₄	—	4	2	no	—
213	C₂×C₄	—	4	2	no	—
214	C₂×C₄	—	152	1	no	—
215	C₂×C₄	—	152	2	no	—
216	C₂×C₄	#10597378	1	1	yes	characteristic
217	C₂×C₄	C₂×#64526	1	1	yes	characteristic
218	C₂×C₄	#10597388	1	2	yes	—
219	C₂×C₄	C₂×#64528	1	2	yes	—
220	C₈	—	76	2	no	—
221	C₈	—	152	2	no	—
222	C₂²	#11926695	1	1	yes	characteristic
223	C₂²	#11926700	1	2	yes	—
224	C₂²	#11926712	1	1	yes	characteristic
225	C₂²	#11926717	1	2	yes	—
226	C₂²	#11926734	1	1	yes	characteristic
227	C₄	—	2	1	no	—
228	C₄	—	2	1	no	—
229	C₄	—	2	2	no	—
230	C₄	—	2	2	no	—
231	C₄	—	4	2	no	—
232	C₄	—	4	4	no	—
233	C₄	—	8	2	no	—
234	C₄	—	8	1	no	—
235	C₄	—	304	1	no	—
236	C₂	#14562655	1	1	yes	characteristic
237	C₂	#14562677	1	2	yes	—
238	C₂	#14562775	1	1	yes	characteristic
239	C₂	#14562800	1	2	yes	—
240	C₂	#14562933	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14565198

C₂

yes

maximal

#14565173

C₂

yes

maximal, characteristic

#14561461

C₂

yes

maximal, characteristic

#14561458

C₂

yes

maximal

C₁₉×#2734

C₂

yes

maximal, characteristic

C₂×#10597264

—

C₂×#10597292

—

#11926414

C₂²

yes

—

—

C₂²

yes

characteristic

#11926299

C₂²

yes

—

C₂×C₁₉×C₄⋊Q₈

—

C₁₉×#398

—

C₁₉×#395

—

C₁₉×#391

C₂²

yes

characteristic

C₁₉×#389

C₂²

yes

—

C₁₉×#387

—

C₂²×Q₈×C₁₉

—

C₂²×Q₈×C₁₉

D₄

yes

characteristic

C₁₉×C₄⋊Q₈

—

C₁₉×C₄⋊Q₈

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

D₄

yes

—

C₂×C₄⋊C₄×C₁₉

D₄

yes

—

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

—

C₂²×C₁₉⋊C₈

—

C₁₉×#95

—

C₁₉×#95

—

C₁₉×#95

—

C₁₉×#95

—

#10597292

—

#10597264

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

SD₁₆

yes

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₉

C₂×D₄

yes

—

C₂²×Dic₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

Q₁₆

yes

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

—

C₂³×C₁₉

yes

Q₈×C₁₉

—

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

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

C₂×SD₁₆

yes

characteristic

C₂×C₄×C₁₉

C₂×Q₁₆

yes

—

C₂×C₄×C₁₉

AGL(1,ℤ/8)

yes

characteristic

C₂×C₄×C₁₉

#137

yes

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

100

C₁₉⋊C₈

—

101

C₁₉⋊C₈

—

102

#2734

D₁₉

yes

characteristic

103

#2100

—

104

#2095

—

105

#1272

—

106

#1271

—

107

C₂²×C₁₉

#450

yes

characteristic

108

C₂²×C₁₉

#451

yes

—

109

C₂²×C₁₉

#453

yes

characteristic

110

C₂²×C₁₉

#454

yes

—

111

C₂²×C₁₉

#458

yes

characteristic

112

C₄×C₁₉

—

113

C₄×C₁₉

—

114

C₄×C₁₉

—

115

C₄×C₁₉

—

116

C₄×C₁₉

—

117

C₄×C₁₉

—

118

C₄×C₁₉

—

119

C₄×C₁₉

—

120

Dic₁₉

—

121

C₂×C₄⋊Q₈

—

122

C₂×#107

—

123

C₂×#103

—

124

#398

—

125

#395

—

126

#391

C₂×D₁₉

yes

characteristic

127

#389

C₂×D₁₉

yes

—

128

#387

—

129

#384

—

130

#340

—

131

#340

—

132

#336

—

133

#336

—

134

C₂×C₁₉

#1613

yes

characteristic

135

C₂×C₁₉

#1617

yes

—

136

C₂×C₁₉

#1633

yes

characteristic

137

C₂×C₁₉

#1637

yes

—

138

C₂×C₁₉

#1657

yes

characteristic

139

C₂²×Q₈

—

140

C₂²×Q₈

C₂²⋊D₁₉

yes

characteristic

141

C₂²×C₈

—

142

C₂²×C₈

—

143

C₄⋊Q₈

—

144

C₄⋊Q₈

—

145

C₂×C₄⋊C₄

—

146

C₂×C₄⋊C₄

—

147

C₂×C₄⋊C₄

—

148

C₂×C₄⋊C₄

—

149

C₂×C₄⋊C₄

—

150

C₂×C₄⋊C₄

C₂²⋊D₁₉

yes

—

151

C₂×C₄⋊C₄

C₂²⋊D₁₉

yes

—

152

C₂×C₄⋊C₄

C₂²⋊D₁₉

yes

characteristic

153

C₂×C₄²

—

154

C₂×C₄²

C₂²×D₁₉

yes

characteristic

155

#107

—

156

#103

—

157

#95

—

158

#95

—

159

#95

—

160

#95

—

161

C₁₉

#7829

yes

characteristic, complemented, Sylow

162

C₂×Q₈

—

163

C₂×Q₈

—

164

C₂×Q₈

—

165

C₂×Q₈

—

166

C₂×Q₈

—

167

C₂×Q₈

—

168

C₂×Q₈

#64526

yes

—

169

C₂²×C₄

—

170

C₂²×C₄

—

171

C₂²×C₄

—

172

C₂²×C₄

—

173

C₂²×C₄

—

174

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

175

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

—

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

C₄⋊C₄

—

189

C₄⋊C₄

—

190

C₄⋊C₄

—

191

C₄⋊C₄

—

192

C₄⋊C₄

#64528

yes

—

193

C₄²

—

194

C₄²

—

195

C₂³

#10597399

yes

characteristic

196

Q₈

—

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

—

207

C₂×C₄

—

208

C₂×C₄

—

209

C₂×C₄

—

210

C₂×C₄

—

211

C₂×C₄

—

212

C₂×C₄

—

213

C₂×C₄

—

214

C₂×C₄

—

152

—

215

C₂×C₄

—

152

—

216

C₂×C₄

#10597378

yes

characteristic

217

C₂×C₄

C₂×#64526

yes

characteristic

218

C₂×C₄

#10597388

yes

—

219

C₂×C₄

C₂×#64528

yes

—

220

C₈

—

221

C₈

—

152

—

222

C₂²

#11926695

yes

characteristic

223

C₂²

#11926700

yes

—

224

C₂²

#11926712

yes

characteristic

225

C₂²

#11926717

yes

—

226

C₂²

#11926734

yes

characteristic

227

C₄

—

228

C₄

—

229

C₄

—

230

C₄

—

231

C₄

—

232

C₄

—

233

C₄

—

234

C₄

—

235

C₄

—

304

—

236

C₂

#14562655

yes

characteristic

237

C₂

#14562677

yes

—

238

C₂

#14562775

yes

characteristic

239

C₂

#14562800

yes

—

240

C₂

#14562933

yes

characteristic

	subgroup	G/H
center	C₂³	#10597399
commutator, cosocle	C₂×C₄²×C₁₉	C₂³
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#2734	C₂
socle, prime radical	C₂³×C₁₉	#120
hypercenter	#2734	D₁₉
hypocenter	C₁₉	#7829
LCS	G ▷ C₂×C₄²×C₁₉ ▷ C₂³×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #2734

subgroup

G/H

center

C₂³

#10597399

commutator, cosocle

C₂×C₄²×C₁₉

C₂³

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting

C₁₉×#2734

C₂

C₂³×C₁₉

D₁₉

C₁₉

G ▷ C₂×C₄²×C₁₉ ▷ C₂³×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #2734

N	H ≅ G/N	type
161. C₁₉	#7829	semidirect

H ≅ G/N

type

161. C₁₉

#7829

semidirect

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

subgroup	index
#14565198	2
#14565173	2
#14561461	2
#14561458	2
C₁₉×#2734	2
#7829	19

subgroup

index

C₁₉×#2734

Subgroups — #18071839

Conjugacy classes of subgroups

Complements

Maximal subgroups