Group #18073974 — subgroups

Subgroups — #18073974

Order 4864.

812 conjugacy classes of subgroups; only the 147 normal subgroups are shown.

normal subgroups only

This group has 812 conjugacy classes of subgroups — too many to draw. Only its 147 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	#14562026	C₂	1	4	yes	maximal, complemented
2	#14561949	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₉×#540	C₂	1	1	yes	maximal, characteristic
4	#11926597	C₂²	1	4	yes	—
5	D₄⋊(C₁₉⋊C₈)	—	2	8	no	—
6	#11926270	—	2	2	no	—
7	#11926268	—	2	2	no	—
8	C₁₉×#540	—	2	8	no	—
9	C₂×C₁₉×#127	C₄	1	1	yes	characteristic
10	C₂×C₁₉×#125	C₄	1	1	yes	characteristic
11	C₂×C₁₉×#123	—	2	2	no	—
12	C₂×C₁₉×#121	—	2	2	no	—
13	C₂×C₁₉×#121	C₄	1	2	yes	—
14	C₂×C₄×D₄×C₁₉	C₂²	1	2	yes	—
15	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
16	C₂²×D₄×C₁₉	—	2	2	no	—
17	C₂²×D₄×C₁₉	—	2	2	no	—
18	C₂²×D₄×C₁₉	C₂×C₄	1	2	yes	—
19	C₂³×C₄×C₁₉	—	2	2	no	—
20	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
21	C₁₉×#127	—	2	4	no	—
22	C₁₉×#125	—	2	4	no	—
23	C₁₉×#123	—	2	16	no	—
24	C₁₉×#121	—	2	16	no	—
25	C₁₉×#121	—	2	4	no	—
26	C₁₉×#121	—	2	4	no	—
27	C₄×D₄×C₁₉	—	2	4	no	—
28	C₄×D₄×C₁₉	D₄	1	8	yes	—
29	C₁₉×#117	—	2	4	no	—
30	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
31	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
32	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
33	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
34	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
35	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
36	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
38	C₂²⋊(C₁₉⋊C₈)	—	2	4	no	—
39	C₄⋊(C₁₉⋊C₈)	—	2	4	no	—
40	C₄×C₁₉⋊C₈	—	2	4	no	—
41	C₂⁴×C₁₉	—	2	2	no	—
42	C₂⁴×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
43	C₂×D₄×C₁₉	—	2	8	no	—
44	C₂×D₄×C₁₉	—	2	8	no	—
45	C₂×D₄×C₁₉	—	2	2	no	—
46	C₂×D₄×C₁₉	—	2	8	no	—
47	C₂×D₄×C₁₉	—	8	4	no	—
48	C₂×D₄×C₁₉	—	8	4	no	—
49	C₂×D₄×C₁₉	C₂²⋊C₄	1	4	yes	—
50	C₂²×C₄×C₁₉	—	2	2	no	—
51	C₂²×C₄×C₁₉	—	2	2	no	—
52	C₂²×C₄×C₁₉	—	2	4	no	—
53	C₂²×C₄×C₁₉	—	2	8	no	—
54	C₂²×C₄×C₁₉	—	8	4	no	—
55	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
56	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
57	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
58	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
59	C₄⋊C₄×C₁₉	—	2	8	no	—
60	C₄⋊C₄×C₁₉	—	2	2	no	—
61	C₄⋊C₄×C₁₉	—	2	4	no	—
62	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	4	yes	—
63	C₂²⋊C₄×C₁₉	—	2	8	no	—
64	C₂²⋊C₄×C₁₉	—	2	8	no	—
65	C₂²⋊C₄×C₁₉	—	2	4	no	—
66	C₄²×C₁₉	—	2	2	no	—
67	C₄²×C₁₉	C₂×D₄	1	4	yes	—
68	C₂×C₁₉⋊C₈	—	4	4	no	—
69	#8326	—	19	1	no	maximal, Sylow
70	C₂³×C₁₉	—	2	1	no	—
71	C₂³×C₁₉	—	2	4	no	—
72	C₂³×C₁₉	—	2	2	no	—
73	C₂³×C₁₉	—	4	4	no	—
74	C₂³×C₁₉	—	4	4	no	—
75	C₂³×C₁₉	—	4	2	no	—
76	C₂³×C₁₉	—	4	4	no	—
77	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
78	D₄×C₁₉	—	2	8	no	—
79	D₄×C₁₉	—	4	4	no	—
80	D₄×C₁₉	—	8	8	no	—
81	D₄×C₁₉	—	8	8	no	—
82	C₂×C₄×C₁₉	—	2	2	no	—
83	C₂×C₄×C₁₉	—	2	1	no	—
84	C₂×C₄×C₁₉	—	2	4	no	—
85	C₂×C₄×C₁₉	—	2	2	no	—
86	C₂×C₄×C₁₉	—	4	2	no	—
87	C₂×C₄×C₁₉	—	4	4	no	—
88	C₂×C₄×C₁₉	—	4	4	no	—
89	C₂×C₄×C₁₉	—	4	2	no	—
90	C₂×C₄×C₁₉	—	8	8	no	—
91	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
92	C₂×C₄×C₁₉	#120	1	4	yes	—
93	C₂×C₄×C₁₉	#131	1	4	yes	—
94	C₁₉⋊C₈	—	8	4	no	—
95	C₂×#540	D₁₉	1	1	yes	characteristic
96	#1478	—	19	4	no	—
97	#1458	—	19	2	no	—
98	C₂²×C₁₉	—	2	2	no	—
99	C₂²×C₁₉	—	4	4	no	—
100	C₂²×C₁₉	—	4	2	no	—
101	C₂²×C₁₉	—	4	4	no	—
102	C₂²×C₁₉	—	4	1	no	—
103	C₂²×C₁₉	—	4	4	no	—
104	C₂²×C₁₉	—	8	2	no	—
105	C₂²×C₁₉	—	8	8	no	—
106	C₂²×C₁₉	#379	1	1	yes	characteristic
107	C₂²×C₁₉	#408	1	2	yes	—
108	C₄×C₁₉	—	2	4	no	—
109	C₄×C₁₉	—	4	4	no	—
110	C₄×C₁₉	—	4	2	no	—
111	C₄×C₁₉	—	4	1	no	—
112	C₄×C₁₉	#408	1	4	yes	—
113	#540	—	2	8	no	—
114	C₂×#127	Dic₁₉	1	1	yes	characteristic
115	C₂×#125	Dic₁₉	1	1	yes	characteristic
116	C₂×#123	—	2	2	no	—
117	C₂×#121	—	2	2	no	—
118	C₂×#121	Dic₁₉	1	2	yes	—
119	C₂×C₄×D₄	C₂×D₁₉	1	2	yes	—
120	C₂×#117	C₂×D₁₉	1	1	yes	characteristic
121	#431	—	19	4	no	—
122	D₄⋊C₈	—	38	8	no	—
123	#324	—	38	2	no	—
124	#323	—	38	2	no	—
125	C₂×C₁₉	—	2	2	no	—
126	C₂×C₁₉	—	8	1	no	—
127	C₂×C₁₉	—	8	4	no	—
128	C₂×C₁₉	#1780	1	1	yes	characteristic
129	C₂×C₁₉	#1795	1	2	yes	—
130	C₂²×D₄	—	2	2	no	—
131	C₂²×D₄	—	2	2	no	—
132	C₂²×D₄	C₂×Dic₁₉	1	2	yes	—
133	C₂³×C₄	—	2	2	no	—
134	C₂³×C₄	C₂×Dic₁₉	1	1	yes	characteristic
135	#127	—	2	4	no	—
136	#125	—	2	4	no	—
137	#123	—	2	16	no	—
138	#121	—	2	16	no	—
139	#121	—	2	4	no	—
140	#121	—	2	4	no	—
141	C₄×D₄	—	2	4	no	—
142	C₄×D₄	C₂²⋊D₁₉	1	8	yes	—
143	#117	—	2	4	no	—
144	C₂×C₄⋊C₄	—	2	2	no	—
145	C₂×C₄⋊C₄	C₂×Dic₁₉	1	2	yes	—
146	C₂×C₄⋊C₄	C₂²⋊D₁₉	1	2	yes	—
147	C₂×C₂²⋊C₄	—	2	2	no	—
148	C₂×C₂²⋊C₄	—	2	2	no	—
149	C₂×C₂²⋊C₄	C₂²⋊D₁₉	1	2	yes	—
150	C₂×C₄²	C₂×Dic₁₉	1	1	yes	characteristic
151	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
152	C₄⋊C₈	—	38	4	no	—
153	C₂²⋊C₈	—	38	4	no	—
154	C₄×C₈	—	38	4	no	—
155	C₁₉	#8326	1	1	yes	characteristic, complemented, Sylow
156	C₂⁴	—	2	2	no	—
157	C₂⁴	C₂²⋊Dic₁₉	1	1	yes	characteristic
158	C₂×D₄	—	2	8	no	—
159	C₂×D₄	—	2	8	no	—
160	C₂×D₄	—	2	8	no	—
161	C₂×D₄	—	2	2	no	—
162	C₂×D₄	—	8	4	no	—
163	C₂×D₄	—	8	4	no	—
164	C₂×D₄	C₂²⋊Dic₁₉	1	4	yes	—
165	C₂²×C₄	—	2	2	no	—
166	C₂²×C₄	—	2	4	no	—
167	C₂²×C₄	—	2	2	no	—
168	C₂²×C₄	—	2	8	no	—
169	C₂²×C₄	—	8	4	no	—
170	C₂²×C₄	C₂²⋊Dic₁₉	1	1	yes	characteristic
171	C₂²×C₄	C₂²⋊Dic₁₉	1	2	yes	—
172	C₂²×C₄	C₂²×Dic₁₉	1	1	yes	characteristic
173	C₂²×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
174	C₂×C₈	—	76	4	no	—
175	C₄⋊C₄	—	2	8	no	—
176	C₄⋊C₄	—	2	2	no	—
177	C₄⋊C₄	—	2	4	no	—
178	C₄⋊C₄	C₂²⋊Dic₁₉	1	4	yes	—
179	C₂²⋊C₄	—	2	8	no	—
180	C₂²⋊C₄	—	2	8	no	—
181	C₂²⋊C₄	—	2	4	no	—
182	C₄²	—	2	2	no	—
183	C₄²	C₂×C₂²⋊D₁₉	1	4	yes	—
184	C₂³	—	2	1	no	—
185	C₂³	—	2	4	no	—
186	C₂³	—	2	2	no	—
187	C₂³	—	4	4	no	—
188	C₂³	—	4	4	no	—
189	C₂³	—	4	2	no	—
190	C₂³	—	4	4	no	—
191	C₂³	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
192	D₄	—	2	8	no	—
193	D₄	—	4	4	no	—
194	D₄	—	8	8	no	—
195	D₄	—	8	8	no	—
196	C₂×C₄	—	2	2	no	—
197	C₂×C₄	—	2	1	no	—
198	C₂×C₄	—	2	4	no	—
199	C₂×C₄	—	2	2	no	—
200	C₂×C₄	—	4	2	no	—
201	C₂×C₄	—	4	4	no	—
202	C₂×C₄	—	4	4	no	—
203	C₂×C₄	—	4	2	no	—
204	C₂×C₄	—	8	8	no	—
205	C₂×C₄	#10597394	1	4	yes	—
206	C₂×C₄	C₂×C₂²⋊Dic₁₉	1	2	yes	—
207	C₂×C₄	#10597399	1	4	yes	—
208	C₈	—	152	4	no	—
209	C₂²	—	2	2	no	—
210	C₂²	—	4	4	no	—
211	C₂²	—	4	4	no	—
212	C₂²	—	4	2	no	—
213	C₂²	—	4	1	no	—
214	C₂²	—	4	4	no	—
215	C₂²	—	8	2	no	—
216	C₂²	—	8	8	no	—
217	C₂²	#11926400	1	1	yes	characteristic
218	C₂²	#11926511	1	2	yes	—
219	C₄	—	2	4	no	—
220	C₄	—	4	4	no	—
221	C₄	—	4	2	no	—
222	C₄	—	4	1	no	—
223	C₄	#11926511	1	4	yes	—
224	C₂	—	2	2	no	—
225	C₂	—	8	4	no	—
226	C₂	—	8	1	no	—
227	C₂	#14563547	1	1	yes	characteristic
228	C₂	#14563605	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

#14562026

C₂

yes

maximal, complemented

#14561949

C₂

yes

maximal, complemented

C₂×C₁₉×#540

C₂

yes

maximal, characteristic

#11926597

C₂²

yes

—

D₄⋊(C₁₉⋊C₈)

—

#11926270

—

#11926268

—

C₁₉×#540

—

C₂×C₁₉×#127

C₄

yes

characteristic

C₂×C₁₉×#125

C₄

yes

characteristic

C₂×C₁₉×#123

—

C₂×C₁₉×#121

—

C₂×C₁₉×#121

C₄

yes

—

C₂×C₄×D₄×C₁₉

C₂²

yes

—

C₂×C₁₉×#117

C₂²

yes

characteristic

C₂²×D₄×C₁₉

—

C₂²×D₄×C₁₉

—

C₂²×D₄×C₁₉

C₂×C₄

yes

—

C₂³×C₄×C₁₉

—

C₂³×C₄×C₁₉

C₂×C₄

yes

characteristic

C₁₉×#127

—

C₁₉×#125

—

C₁₉×#123

—

C₁₉×#121

—

C₁₉×#121

—

C₁₉×#121

—

C₄×D₄×C₁₉

—

C₄×D₄×C₁₉

D₄

yes

—

C₁₉×#117

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

C₂×C₄

yes

—

C₂×C₄⋊C₄×C₁₉

D₄

yes

—

C₂×C₂²⋊C₄×C₁₉

—

C₂×C₂²⋊C₄×C₁₉

—

C₂×C₂²⋊C₄×C₁₉

D₄

yes

—

C₂×C₄²×C₁₉

C₂×C₄

yes

characteristic

C₂×C₄²×C₁₉

C₂³

yes

characteristic

C₂²⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

—

C₄×C₁₉⋊C₈

—

C₂⁴×C₁₉

—

C₂⁴×C₁₉

C₂²⋊C₄

yes

characteristic

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

C₂²⋊C₄

yes

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

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

C₂×D₄

yes

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

C₂²⋊C₄

yes

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

C₂×D₄

yes

—

C₂×C₁₉⋊C₈

—

#8326

—

maximal, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

C₂×C₂²⋊C₄

yes

characteristic

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

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

C₂×C₂²⋊C₄

yes

—

C₂×C₄×C₁₉

#120

yes

—

C₂×C₄×C₁₉

#131

yes

—

C₁₉⋊C₈

—

C₂×#540

D₁₉

yes

characteristic

#1478

—

#1458

—

C₂²×C₁₉

—

C₂²×C₁₉

—

100

C₂²×C₁₉

—

101

C₂²×C₁₉

—

102

C₂²×C₁₉

—

103

C₂²×C₁₉

—

104

C₂²×C₁₉

—

105

C₂²×C₁₉

—

106

C₂²×C₁₉

#379

yes

characteristic

107

C₂²×C₁₉

#408

yes

—

108

C₄×C₁₉

—

109

C₄×C₁₉

—

110

C₄×C₁₉

—

111

C₄×C₁₉

—

112

C₄×C₁₉

#408

yes

—

113

#540

—

114

C₂×#127

Dic₁₉

yes

characteristic

115

C₂×#125

Dic₁₉

yes

characteristic

116

C₂×#123

—

117

C₂×#121

—

118

C₂×#121

Dic₁₉

yes

—

119

C₂×C₄×D₄

C₂×D₁₉

yes

—

120

C₂×#117

C₂×D₁₉

yes

characteristic

121

#431

—

122

D₄⋊C₈

—

123

#324

—

124

#323

—

125

C₂×C₁₉

—

126

C₂×C₁₉

—

127

C₂×C₁₉

—

128

C₂×C₁₉

#1780

yes

characteristic

129

C₂×C₁₉

#1795

yes

—

130

C₂²×D₄

—

131

C₂²×D₄

—

132

C₂²×D₄

C₂×Dic₁₉

yes

—

133

C₂³×C₄

—

134

C₂³×C₄

C₂×Dic₁₉

yes

characteristic

135

#127

—

136

#125

—

137

#123

—

138

#121

—

139

#121

—

140

#121

—

141

C₄×D₄

—

142

C₄×D₄

C₂²⋊D₁₉

yes

—

143

#117

—

144

C₂×C₄⋊C₄

—

145

C₂×C₄⋊C₄

C₂×Dic₁₉

yes

—

146

C₂×C₄⋊C₄

C₂²⋊D₁₉

yes

—

147

C₂×C₂²⋊C₄

—

148

C₂×C₂²⋊C₄

—

149

C₂×C₂²⋊C₄

C₂²⋊D₁₉

yes

—

150

C₂×C₄²

C₂×Dic₁₉

yes

characteristic

151

C₂×C₄²

C₂²×D₁₉

yes

characteristic

152

C₄⋊C₈

—

153

C₂²⋊C₈

—

154

C₄×C₈

—

155

C₁₉

#8326

yes

characteristic, complemented, Sylow

156

C₂⁴

—

157

C₂⁴

C₂²⋊Dic₁₉

yes

characteristic

158

C₂×D₄

—

159

C₂×D₄

—

160

C₂×D₄

—

161

C₂×D₄

—

162

C₂×D₄

—

163

C₂×D₄

—

164

C₂×D₄

C₂²⋊Dic₁₉

yes

—

165

C₂²×C₄

—

166

C₂²×C₄

—

167

C₂²×C₄

—

168

C₂²×C₄

—

169

C₂²×C₄

—

170

C₂²×C₄

C₂²⋊Dic₁₉

yes

characteristic

171

C₂²×C₄

C₂²⋊Dic₁₉

yes

—

172

C₂²×C₄

C₂²×Dic₁₉

yes

characteristic

173

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

—

174

C₂×C₈

—

175

C₄⋊C₄

—

176

C₄⋊C₄

—

177

C₄⋊C₄

—

178

C₄⋊C₄

C₂²⋊Dic₁₉

yes

—

179

C₂²⋊C₄

—

180

C₂²⋊C₄

—

181

C₂²⋊C₄

—

182

C₄²

—

183

C₄²

C₂×C₂²⋊D₁₉

yes

—

184

C₂³

—

185

C₂³

—

186

C₂³

—

187

C₂³

—

188

C₂³

—

189

C₂³

—

190

C₂³

—

191

C₂³

C₂×C₂²⋊Dic₁₉

yes

characteristic

192

D₄

—

193

D₄

—

194

D₄

—

195

D₄

—

196

C₂×C₄

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

#10597394

yes

—

206

C₂×C₄

C₂×C₂²⋊Dic₁₉

yes

—

207

C₂×C₄

#10597399

yes

—

208

C₈

—

152

—

209

C₂²

—

210

C₂²

—

211

C₂²

—

212

C₂²

—

213

C₂²

—

214

C₂²

—

215

C₂²

—

216

C₂²

—

217

C₂²

#11926400

yes

characteristic

218

C₂²

#11926511

yes

—

219

C₄

—

220

C₄

—

221

C₄

—

222

C₄

—

223

C₄

#11926511

yes

—

224

C₂

—

225

C₂

—

226

C₂

—

227

C₂

#14563547

yes

characteristic

228

C₂

#14563605

yes

—

	subgroup	G/H
center	C₂²	#11926400
commutator	C₂²×C₄×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting, prime radical	C₂×C₁₉×#540	C₂
socle	C₂²×C₁₉	#379
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	C₂×#540	D₁₉
hypocenter	C₁₉	#8326
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#540

subgroup

G/H

center

C₂²

#11926400

commutator

C₂²×C₄×C₁₉

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting, prime radical

C₂×C₁₉×#540

C₂

socle

C₂²×C₁₉

#379

cosocle

C₂×C₄²×C₁₉

C₂³

D₁₉

C₁₉

G ▷ C₂²×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#540

N	H ≅ G/N	type
1. #14562026	C₂	semidirect
2. #14561949	C₂	semidirect
155. C₁₉	#8326	semidirect

H ≅ G/N

type

1. #14562026

C₂

semidirect

2. #14561949

C₂

semidirect

155. C₁₉

#8326

semidirect

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

subgroup	index
#14562026	2
#14561949	2
C₂×C₁₉×#540	2
#8326	19

subgroup

index

#14562026

#14561949

C₂×C₁₉×#540

#8326

Subgroups — #18073974

Conjugacy classes of subgroups

Complements

Maximal subgroups