Group #18070660 — subgroups

Subgroups — #18070660

Order 4864.

608 conjugacy classes of subgroups; only the 143 normal subgroups are shown.

normal subgroups only

This group has 608 conjugacy classes of subgroups — too many to draw. Only its 143 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	#14563778	C₂	1	2	yes	maximal, complemented
2	#14561456	C₂	1	4	yes	maximal, complemented
3	C₄×C₁₉×#127	C₂	1	1	yes	maximal, characteristic
4	#11926299	—	2	2	no	—
5	#11926299	—	2	2	no	—
6	#11926299	C₂²	1	4	yes	—
7	C₂×C₁₉×#127	C₄	1	1	yes	characteristic
8	C₂×C₄×D₄×C₁₉	—	2	2	no	—
9	C₂×C₄×D₄×C₁₉	C₄	1	2	yes	—
10	C₁₉×#390	—	2	2	no	—
11	C₁₉×#390	C₂²	1	2	yes	—
12	C₁₉×#384	C₄	1	1	yes	characteristic
13	C₄³×C₁₉	C₂²	1	1	yes	characteristic
14	C₂²×D₄×C₁₉	—	2	2	no	—
15	C₂²×D₄×C₁₉	C₂×C₄	1	2	yes	—
16	C₂³×C₄×C₁₉	—	2	2	no	—
17	C₁₉×#127	—	2	2	no	—
18	C₁₉×#127	C₈	1	4	yes	complemented
19	C₄×D₄×C₁₉	—	4	8	no	—
20	C₄×D₄×C₁₉	—	4	4	no	—
21	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
22	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
23	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
24	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
25	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
26	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
27	C₂×C₄²×C₁₉	D₄	1	2	yes	—
28	C₂×C₄²×C₁₉	D₄	1	2	yes	—
29	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
30	C₂²×C₁₉⋊C₈	—	2	4	no	—
31	C₂⁴×C₁₉	—	2	2	no	—
32	C₂×D₄×C₁₉	—	2	8	no	—
33	C₂×D₄×C₁₉	—	2	2	no	—
34	C₂×D₄×C₁₉	—	4	2	no	—
35	C₂×D₄×C₁₉	—	4	2	no	—
36	C₂×D₄×C₁₉	—	4	4	no	—
37	C₂×D₄×C₁₉	—	4	4	no	—
38	C₂×D₄×C₁₉	C₂×C₈	1	4	yes	—
39	C₂²×C₄×C₁₉	—	2	2	no	—
40	C₂²×C₄×C₁₉	—	4	8	no	—
41	C₂²×C₄×C₁₉	—	4	4	no	—
42	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
43	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
44	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
45	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
46	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
47	C₄⋊C₄×C₁₉	—	4	2	no	—
48	C₄⋊C₄×C₁₉	—	4	4	no	—
49	C₂²⋊C₄×C₁₉	—	4	4	no	—
50	C₂²⋊C₄×C₁₉	—	4	8	no	—
51	C₄²×C₁₉	—	2	2	no	—
52	C₄²×C₁₉	—	2	4	no	—
53	C₄²×C₁₉	—	4	2	no	—
54	C₄²×C₁₉	—	4	1	no	—
55	C₄²×C₁₉	C₂×C₈	1	2	yes	—
56	C₄²×C₁₉	M₁₆	1	2	yes	—
57	C₂×C₁₉⋊C₈	—	4	4	no	—
58	C₂×C₁₉⋊C₈	—	4	4	no	—
59	C₂×C₁₉⋊C₈	—	4	4	no	—
60	#7603	—	19	1	no	maximal, Sylow
61	C₂³×C₁₉	—	2	4	no	—
62	C₂³×C₁₉	—	4	2	no	—
63	C₂³×C₁₉	—	4	2	no	—
64	C₂³×C₁₉	—	4	4	no	—
65	C₂³×C₁₉	—	4	4	no	—
66	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
67	D₄×C₁₉	—	4	4	no	—
68	D₄×C₁₉	—	4	4	no	—
69	D₄×C₁₉	—	4	16	no	—
70	C₂×C₄×C₁₉	—	2	2	no	—
71	C₂×C₄×C₁₉	—	2	1	no	—
72	C₂×C₄×C₁₉	—	2	1	no	—
73	C₂×C₄×C₁₉	—	2	2	no	—
74	C₂×C₄×C₁₉	—	2	2	no	—
75	C₂×C₄×C₁₉	—	2	2	no	—
76	C₂×C₄×C₁₉	—	2	2	no	—
77	C₂×C₄×C₁₉	—	2	1	no	—
78	C₂×C₄×C₁₉	—	2	2	no	—
79	C₂×C₄×C₁₉	—	4	2	no	—
80	C₂×C₄×C₁₉	—	4	4	no	—
81	C₂×C₄×C₁₉	—	8	8	no	—
82	C₂×C₄×C₁₉	C₂²⋊C₈	1	4	yes	—
83	C₂×C₄×C₁₉	#100	1	2	yes	—
84	C₂×C₄×C₁₉	C₂²×C₈	1	1	yes	characteristic
85	C₂×C₄×C₁₉	C₂×M₁₆	1	1	yes	characteristic
86	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	4	yes	—
87	C₁₉⋊C₈	—	8	4	no	—
88	C₄×#127	D₁₉	1	1	yes	characteristic
89	#1839	—	19	2	no	—
90	#1270	—	19	4	no	—
91	C₂²×C₁₉	—	4	4	no	—
92	C₂²×C₁₉	—	4	8	no	—
93	C₂²×C₁₉	—	8	2	no	—
94	C₂²×C₁₉	—	8	2	no	—
95	C₂²×C₁₉	—	8	4	no	—
96	C₂²×C₁₉	C₂×C₂²⋊C₈	1	1	yes	characteristic
97	C₂²×C₁₉	#410	1	1	yes	characteristic
98	C₂²×C₁₉	C₂×#100	1	1	yes	characteristic
99	C₂²×C₁₉	#418	1	2	yes	—
100	C₂²×C₁₉	#421	1	2	yes	—
101	C₄×C₁₉	—	2	2	no	—
102	C₄×C₁₉	—	2	1	no	—
103	C₄×C₁₉	—	2	1	no	—
104	C₄×C₁₉	—	2	4	no	—
105	C₄×C₁₉	—	2	4	no	—
106	C₄×C₁₉	—	4	1	no	—
107	C₄×C₁₉	—	8	2	no	—
108	C₂×#127	Dic₁₉	1	1	yes	characteristic
109	C₂×C₄×D₄	—	2	2	no	—
110	C₂×C₄×D₄	Dic₁₉	1	2	yes	—
111	#390	—	2	2	no	—
112	#390	C₂×D₁₉	1	2	yes	—
113	#384	Dic₁₉	1	1	yes	characteristic
114	C₄³	C₂×D₁₉	1	1	yes	characteristic
115	#336	—	19	4	no	—
116	#336	—	38	2	no	—
117	#336	—	38	2	no	—
118	C₂×C₁₉	—	8	4	no	—
119	C₂×C₁₉	#1460	1	1	yes	characteristic
120	C₂×C₁₉	#1478	1	2	yes	—
121	C₂×C₁₉	#1514	1	2	yes	—
122	C₂×C₁₉	#1536	1	1	yes	characteristic
123	C₂×C₁₉	#1555	1	1	yes	characteristic
124	C₂²×D₄	—	2	2	no	—
125	C₂²×D₄	C₂×Dic₁₉	1	2	yes	—
126	C₂³×C₄	—	2	2	no	—
127	C₂²×C₈	—	38	4	no	—
128	#127	—	2	2	no	—
129	#127	C₁₉⋊C₈	1	4	yes	complemented
130	C₄×D₄	—	4	8	no	—
131	C₄×D₄	—	4	4	no	—
132	C₂×C₄⋊C₄	—	2	2	no	—
133	C₂×C₄⋊C₄	C₂×Dic₁₉	1	2	yes	—
134	C₂×C₂²⋊C₄	—	2	2	no	—
135	C₂×C₂²⋊C₄	—	2	4	no	—
136	C₂×C₄²	C₂×Dic₁₉	1	1	yes	characteristic
137	C₂×C₄²	C₂×Dic₁₉	1	1	yes	characteristic
138	C₂×C₄²	C₂²⋊D₁₉	1	2	yes	—
139	C₂×C₄²	C₂²⋊D₁₉	1	2	yes	—
140	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
141	C₁₉	#7603	1	1	yes	characteristic, complemented, Sylow
142	C₂⁴	—	2	2	no	—
143	C₂×D₄	—	2	8	no	—
144	C₂×D₄	—	2	2	no	—
145	C₂×D₄	—	4	2	no	—
146	C₂×D₄	—	4	2	no	—
147	C₂×D₄	—	4	4	no	—
148	C₂×D₄	—	4	4	no	—
149	C₂×D₄	C₂×C₁₉⋊C₈	1	4	yes	—
150	C₂²×C₄	—	2	2	no	—
151	C₂²×C₄	—	4	8	no	—
152	C₂²×C₄	—	4	4	no	—
153	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
154	C₂²×C₄	C₂²⋊Dic₁₉	1	2	yes	—
155	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
156	C₂²×C₄	C₂²×Dic₁₉	1	1	yes	characteristic
157	C₂²×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
158	C₂×C₈	—	76	4	no	—
159	C₂×C₈	—	76	4	no	—
160	C₂×C₈	—	76	4	no	—
161	C₄⋊C₄	—	4	2	no	—
162	C₄⋊C₄	—	4	4	no	—
163	C₂²⋊C₄	—	4	4	no	—
164	C₂²⋊C₄	—	4	8	no	—
165	C₄²	—	2	4	no	—
166	C₄²	—	2	2	no	—
167	C₄²	—	4	2	no	—
168	C₄²	—	4	1	no	—
169	C₄²	C₂×C₁₉⋊C₈	1	2	yes	—
170	C₄²	#64520	1	2	yes	—
171	C₂³	—	2	4	no	—
172	C₂³	—	4	4	no	—
173	C₂³	—	4	4	no	—
174	C₂³	—	4	2	no	—
175	C₂³	—	4	2	no	—
176	C₂³	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
177	D₄	—	4	4	no	—
178	D₄	—	4	4	no	—
179	D₄	—	4	16	no	—
180	C₂×C₄	—	2	2	no	—
181	C₂×C₄	—	2	2	no	—
182	C₂×C₄	—	2	2	no	—
183	C₂×C₄	—	2	2	no	—
184	C₂×C₄	—	2	2	no	—
185	C₂×C₄	—	2	1	no	—
186	C₂×C₄	—	2	1	no	—
187	C₂×C₄	—	2	2	no	—
188	C₂×C₄	—	2	1	no	—
189	C₂×C₄	—	4	4	no	—
190	C₂×C₄	—	4	2	no	—
191	C₂×C₄	—	8	8	no	—
192	C₂×C₄	C₂²⋊(C₁₉⋊C₈)	1	4	yes	—
193	C₂×C₄	#10597290	1	2	yes	—
194	C₂×C₄	C₂²×C₁₉⋊C₈	1	1	yes	characteristic
195	C₂×C₄	C₂×#64520	1	1	yes	characteristic
196	C₂×C₄	#10597378	1	4	yes	—
197	C₈	—	152	4	no	—
198	C₂²	—	4	4	no	—
199	C₂²	—	4	8	no	—
200	C₂²	—	8	2	no	—
201	C₂²	—	8	4	no	—
202	C₂²	—	8	2	no	—
203	C₂²	C₂×C₂²⋊(C₁₉⋊C₈)	1	1	yes	characteristic
204	C₂²	#11926518	1	1	yes	characteristic
205	C₂²	C₂×#10597290	1	1	yes	characteristic
206	C₂²	#11926549	1	2	yes	—
207	C₂²	#11926561	1	2	yes	—
208	C₄	—	2	2	no	—
209	C₄	—	2	4	no	—
210	C₄	—	2	1	no	—
211	C₄	—	2	1	no	—
212	C₄	—	2	4	no	—
213	C₄	—	4	1	no	—
214	C₄	—	8	2	no	—
215	C₂	—	8	4	no	—
216	C₂	#14561956	1	1	yes	characteristic
217	C₂	#14562026	1	2	yes	—
218	C₂	#14562182	1	2	yes	—
219	C₂	#14562270	1	1	yes	characteristic
220	C₂	#14562349	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14563778

C₂

yes

maximal, complemented

#14561456

C₂

yes

maximal, complemented

C₄×C₁₉×#127

C₂

yes

maximal, characteristic

#11926299

—

#11926299

—

#11926299

C₂²

yes

—

C₂×C₁₉×#127

C₄

yes

characteristic

C₂×C₄×D₄×C₁₉

—

C₂×C₄×D₄×C₁₉

C₄

yes

—

C₁₉×#390

—

C₁₉×#390

C₂²

yes

—

C₁₉×#384

C₄

yes

characteristic

C₄³×C₁₉

C₂²

yes

characteristic

C₂²×D₄×C₁₉

—

C₂²×D₄×C₁₉

C₂×C₄

yes

—

C₂³×C₄×C₁₉

—

C₁₉×#127

—

C₁₉×#127

C₈

yes

complemented

C₄×D₄×C₁₉

—

C₄×D₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

C₂×C₄

yes

—

C₂×C₂²⋊C₄×C₁₉

—

C₂×C₂²⋊C₄×C₁₉

—

C₂×C₄²×C₁₉

C₂×C₄

yes

characteristic

C₂×C₄²×C₁₉

C₂×C₄

yes

characteristic

C₂×C₄²×C₁₉

D₄

yes

—

C₂×C₄²×C₁₉

D₄

yes

—

C₂×C₄²×C₁₉

C₂³

yes

characteristic

C₂²×C₁₉⋊C₈

—

C₂⁴×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

C₂×C₈

yes

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

—

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₁₉

C₂²×C₄

yes

characteristic

C₂²×C₄×C₁₉

C₂×D₄

yes

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

C₂×C₈

yes

—

C₄²×C₁₉

M₁₆

yes

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

#7603

—

maximal, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

C₂×C₂²⋊C₄

yes

characteristic

D₄×C₁₉

—

D₄×C₁₉

—

D₄×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

C₂²⋊C₈

yes

—

C₂×C₄×C₁₉

#100

yes

—

C₂×C₄×C₁₉

C₂²×C₈

yes

characteristic

C₂×C₄×C₁₉

C₂×M₁₆

yes

characteristic

C₂×C₄×C₁₉

AGL(1,ℤ/8)

yes

—

C₁₉⋊C₈

—

C₄×#127

D₁₉

yes

characteristic

#1839

—

#1270

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

C₂×C₂²⋊C₈

yes

C₂²×C₁₉

yes

C₂²×C₁₉

yes

C₂²×C₁₉

yes

—

100

C₂²×C₁₉

#421

yes

—

101

C₄×C₁₉

—

102

C₄×C₁₉

—

103

C₄×C₁₉

—

104

C₄×C₁₉

—

105

C₄×C₁₉

—

106

C₄×C₁₉

—

107

C₄×C₁₉

—

108

C₂×#127

Dic₁₉

yes

characteristic

109

C₂×C₄×D₄

—

110

C₂×C₄×D₄

Dic₁₉

yes

—

111

#390

—

112

#390

C₂×D₁₉

yes

—

113

#384

Dic₁₉

yes

characteristic

114

C₄³

C₂×D₁₉

yes

characteristic

115

#336

—

116

#336

—

117

#336

—

118

C₂×C₁₉

—

119

C₂×C₁₉

#1460

yes

characteristic

120

C₂×C₁₉

#1478

yes

—

121

C₂×C₁₉

#1514

yes

—

122

C₂×C₁₉

#1536

yes

characteristic

123

C₂×C₁₉

#1555

yes

characteristic

124

C₂²×D₄

—

125

C₂²×D₄

C₂×Dic₁₉

yes

—

126

C₂³×C₄

—

127

C₂²×C₈

—

128

#127

—

129

#127

C₁₉⋊C₈

yes

complemented

130

C₄×D₄

—

131

C₄×D₄

—

132

C₂×C₄⋊C₄

—

133

C₂×C₄⋊C₄

C₂×Dic₁₉

yes

—

134

C₂×C₂²⋊C₄

—

135

C₂×C₂²⋊C₄

—

136

C₂×C₄²

C₂×Dic₁₉

yes

characteristic

137

C₂×C₄²

C₂×Dic₁₉

yes

characteristic

138

C₂×C₄²

C₂²⋊D₁₉

yes

—

139

C₂×C₄²

C₂²⋊D₁₉

yes

—

140

C₂×C₄²

C₂²×D₁₉

yes

characteristic

141

C₁₉

#7603

yes

characteristic, complemented, Sylow

142

C₂⁴

—

143

C₂×D₄

—

144

C₂×D₄

—

145

C₂×D₄

—

146

C₂×D₄

—

147

C₂×D₄

—

148

C₂×D₄

—

149

C₂×D₄

C₂×C₁₉⋊C₈

yes

—

150

C₂²×C₄

—

151

C₂²×C₄

—

152

C₂²×C₄

—

153

C₂²×C₄

C₂²⋊Dic₁₉

yes

characteristic

154

C₂²×C₄

C₂²⋊Dic₁₉

yes

—

155

C₂²×C₄

C₂²⋊Dic₁₉

yes

characteristic

156

C₂²×C₄

C₂²×Dic₁₉

yes

characteristic

157

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

—

158

C₂×C₈

—

159

C₂×C₈

—

160

C₂×C₈

—

161

C₄⋊C₄

—

162

C₄⋊C₄

—

163

C₂²⋊C₄

—

164

C₂²⋊C₄

—

165

C₄²

—

166

C₄²

—

167

C₄²

—

168

C₄²

—

169

C₄²

C₂×C₁₉⋊C₈

yes

—

170

C₄²

#64520

yes

—

171

C₂³

—

172

C₂³

—

173

C₂³

—

174

C₂³

—

175

C₂³

—

176

C₂³

C₂×C₂²⋊Dic₁₉

yes

characteristic

177

D₄

—

178

D₄

—

179

D₄

—

180

C₂×C₄

—

181

C₂×C₄

—

182

C₂×C₄

—

183

C₂×C₄

—

184

C₂×C₄

—

185

C₂×C₄

—

186

C₂×C₄

—

187

C₂×C₄

—

188

C₂×C₄

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

C₂²⋊(C₁₉⋊C₈)

yes

—

193

C₂×C₄

#10597290

yes

—

194

C₂×C₄

C₂²×C₁₉⋊C₈

yes

characteristic

195

C₂×C₄

C₂×#64520

yes

characteristic

196

C₂×C₄

#10597378

yes

—

197

C₈

—

152

—

198

C₂²

—

199

C₂²

—

200

C₂²

—

201

C₂²

—

202

C₂²

—

203

C₂²

C₂×C₂²⋊(C₁₉⋊C₈)

yes

characteristic

204

C₂²

#11926518

yes

characteristic

205

C₂²

C₂×#10597290

yes

characteristic

206

C₂²

#11926549

yes

—

207

C₂²

#11926561

yes

—

208

C₄

—

209

C₄

—

210

C₄

—

211

C₄

—

212

C₄

—

213

C₄

—

214

C₄

—

215

C₂

—

216

C₂

#14561956

yes

characteristic

217

C₂

#14562026

yes

—

218

C₂

#14562182

yes

—

219

C₂

#14562270

yes

characteristic

220

C₂

#14562349

yes

characteristic

	subgroup	G/H
center	C₂³	C₂×C₂²⋊Dic₁₉
commutator	C₂×C₄×C₁₉	C₂²×C₈
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₄×C₁₉×#127	C₂
socle	C₂³×C₁₉	C₂×C₂²⋊C₄
prime radical	C₂×C₁₉×#127	C₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	C₄×#127	D₁₉
hypocenter	C₁₉	#7603
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₄³ ◁ C₄×#127

subgroup

G/H

center

C₂³

C₂×C₂²⋊Dic₁₉

commutator

C₂×C₄×C₁₉

C₂²×C₈

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting

C₄×C₁₉×#127

C₂

socle

C₂³×C₁₉

C₂×C₂²⋊C₄

prime radical

C₂×C₁₉×#127

C₄

cosocle

C₂×C₄²×C₁₉

C₂³

D₁₉

C₁₉

G ▷ C₂×C₄×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂³ ◁ C₄³ ◁ C₄×#127

N	H ≅ G/N	type
1. #14563778	C₂	semidirect
2. #14561456	C₂	semidirect
18. C₁₉×#127	C₈	semidirect
129. #127	C₁₉⋊C₈	semidirect
141. C₁₉	#7603	semidirect

H ≅ G/N

type

1. #14563778

C₂

semidirect

2. #14561456

C₂

semidirect

18. C₁₉×#127

C₈

semidirect

129. #127

C₁₉⋊C₈

semidirect

141. C₁₉

#7603

semidirect

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

subgroup	index
#14563778	2
#14561456	2
C₄×C₁₉×#127	2
#7603	19

subgroup

index

#14563778

#14561456

C₄×C₁₉×#127

#7603

Subgroups — #18070660

Conjugacy classes of subgroups

Complements

Maximal subgroups