Group #18082571 — subgroups

Subgroups — #18082571

Order 4864.

486 conjugacy classes of subgroups; only the 167 normal subgroups are shown.

normal subgroups only

This group has 486 conjugacy classes of subgroups — too many to draw. Only its 167 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	#14563787	C₂	1	1	yes	maximal, characteristic
2	C₄×#10597260	C₂	1	1	yes	maximal, characteristic
3	#14561476	C₂	1	4	yes	maximal
4	C₄×C₁₉×#125	C₂	1	1	yes	maximal, characteristic
5	C₂×C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
6	C₂×C₄⋊(C₁₉⋊C₈)	C₂²	1	2	yes	—
7	C₂×#10597260	—	2	2	no	—
8	C₂×C₄×C₁₉⋊C₈	C₂²	1	2	yes	—
9	C₂×C₁₉×#125	C₄	1	1	yes	characteristic
10	C₁₉×#389	C₄	1	2	yes	—
11	C₁₉×#387	—	2	2	no	—
12	C₁₉×#382	C₄	1	1	yes	characteristic
13	C₄×C₄⋊C₄×C₁₉	—	2	2	no	—
14	C₄×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
15	C₄³×C₁₉	C₂²	1	1	yes	characteristic
16	C₁₉×#125	—	2	4	no	—
17	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
18	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
19	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
20	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
21	C₂×C₄²×C₁₉	—	2	2	no	—
22	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
23	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
24	C₂×C₄²×C₁₉	D₄	1	2	yes	—
25	C₂×C₄²×C₁₉	D₄	1	2	yes	—
26	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
27	C₂²×C₁₉⋊C₈	—	2	2	no	—
28	C₂²×C₁₉⋊C₈	—	2	2	no	—
29	C₁₉×#95	—	2	2	no	—
30	C₁₉×#95	—	2	2	no	—
31	C₁₉×#95	—	2	2	no	—
32	C₄⋊(C₁₉⋊C₈)	—	2	4	no	—
33	C₄⋊(C₁₉⋊C₈)	—	4	4	no	—
34	#10597260	—	2	8	no	—
35	C₄×C₁₉⋊C₈	—	2	2	no	—
36	C₄×C₁₉⋊C₈	Q₈	1	4	yes	—
37	C₂²×C₄×C₁₉	—	2	2	no	—
38	C₂²×C₄×C₁₉	—	2	2	no	—
39	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
40	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
41	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
42	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
43	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
44	C₄⋊C₄×C₁₉	—	2	8	no	—
45	C₄⋊C₄×C₁₉	—	2	2	no	—
46	C₄⋊C₄×C₁₉	—	2	4	no	—
47	C₄⋊C₄×C₁₉	—	4	4	no	—
48	C₄⋊C₄×C₁₉	M₁₆	1	4	yes	—
49	C₄²×C₁₉	—	2	4	no	—
50	C₄²×C₁₉	—	2	2	no	—
51	C₄²×C₁₉	—	2	2	no	—
52	C₄²×C₁₉	—	2	2	no	—
53	C₄²×C₁₉	—	2	2	no	—
54	C₄²×C₁₉	—	4	2	no	—
55	C₄²×C₁₉	—	4	2	no	—
56	C₄²×C₁₉	C₂×Q₈	1	2	yes	—
57	C₄²×C₁₉	#41	1	2	yes	—
58	C₂×C₁₉⋊C₈	—	2	8	no	—
59	C₂×C₁₉⋊C₈	—	2	4	no	—
60	C₂×C₁₉⋊C₈	—	4	2	no	—
61	C₂×C₁₉⋊C₈	—	4	4	no	—
62	#9876	—	19	1	no	maximal, Sylow
63	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
64	C₂×C₄×C₁₉	—	2	2	no	—
65	C₂×C₄×C₁₉	—	2	2	no	—
66	C₂×C₄×C₁₉	—	2	2	no	—
67	C₂×C₄×C₁₉	—	2	2	no	—
68	C₂×C₄×C₁₉	—	2	4	no	—
69	C₂×C₄×C₁₉	—	2	2	no	—
70	C₂×C₄×C₁₉	—	2	2	no	—
71	C₂×C₄×C₁₉	—	4	2	no	—
72	C₂×C₄×C₁₉	—	4	2	no	—
73	C₂×C₄×C₁₉	—	4	2	no	—
74	C₂×C₄×C₁₉	—	4	2	no	—
75	C₂×C₄×C₁₉	—	4	2	no	—
76	C₂×C₄×C₁₉	#104	1	4	yes	—
77	C₂×C₄×C₁₉	C₄×Q₈	1	2	yes	—
78	C₂×C₄×C₁₉	C₂²⋊Q₈	1	2	yes	—
79	C₂×C₄×C₁₉	#124	1	1	yes	characteristic
80	C₂×C₄×C₁₉	C₄⋊Q₈	1	1	yes	characteristic
81	C₂×C₄×C₁₉	C₂×M₁₆	1	2	yes	—
82	C₂×C₄×C₁₉	#131	1	2	yes	—
83	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
84	C₂×C₄×C₁₉	#137	1	2	yes	—
85	C₁₉⋊C₈	—	2	8	no	—
86	C₁₉⋊C₈	—	8	2	no	—
87	C₄×#125	D₁₉	1	1	yes	characteristic
88	#1842	—	19	1	no	—
89	C₄×#97	—	19	1	no	—
90	#1279	—	19	4	no	—
91	C₂²×C₁₉	#391	1	1	yes	characteristic
92	C₂²×C₁₉	#407	1	1	yes	characteristic
93	C₂²×C₁₉	#408	1	1	yes	characteristic
94	C₂²×C₁₉	#417	1	2	yes	—
95	C₂²×C₁₉	C₂×#104	1	2	yes	—
96	C₄×C₁₉	—	2	2	no	—
97	C₄×C₁₉	—	2	4	no	—
98	C₄×C₁₉	—	4	2	no	—
99	C₄×C₁₉	—	4	4	no	—
100	C₄×C₁₉	—	8	2	no	—
101	C₄×C₁₉	#446	1	4	yes	—
102	C₄×C₁₉	#490	1	1	yes	characteristic
103	C₄×C₁₉	#491	1	1	yes	characteristic
104	C₄×C₁₉	#501	1	2	yes	—
105	C₂×#125	Dic₁₉	1	1	yes	characteristic
106	C₂×C₄⋊C₈	—	19	2	no	—
107	C₂×C₄⋊C₈	—	38	2	no	—
108	C₂×#97	—	38	2	no	—
109	C₂×C₄×C₈	—	19	2	no	—
110	#389	Dic₁₉	1	2	yes	—
111	#387	—	2	2	no	—
112	#382	Dic₁₉	1	1	yes	characteristic
113	C₄×C₄⋊C₄	—	2	2	no	—
114	C₄×C₄⋊C₄	C₂×D₁₉	1	2	yes	—
115	C₄³	C₂×D₁₉	1	1	yes	characteristic
116	C₂×C₁₉	#1483	1	2	yes	—
117	C₂×C₁₉	#1489	1	2	yes	—
118	C₂×C₁₉	#1985	1	1	yes	characteristic
119	C₂×C₁₉	#1992	1	1	yes	characteristic
120	C₂×C₁₉	#1994	1	1	yes	characteristic
121	C₂²×C₈	—	38	2	no	—
122	C₂²×C₈	—	38	2	no	—
123	#125	—	2	4	no	—
124	C₂×C₄⋊C₄	—	2	2	no	—
125	C₂×C₄⋊C₄	—	2	2	no	—
126	C₂×C₄⋊C₄	C₂×Dic₁₉	1	2	yes	—
127	C₂×C₄⋊C₄	C₂×Dic₁₉	1	2	yes	—
128	C₂×C₄²	—	2	2	no	—
129	C₂×C₄²	C₂×Dic₁₉	1	1	yes	characteristic
130	C₂×C₄²	C₂×Dic₁₉	1	1	yes	characteristic
131	C₂×C₄²	C₂²⋊D₁₉	1	2	yes	—
132	C₂×C₄²	C₂²⋊D₁₉	1	2	yes	—
133	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
134	C₄⋊C₈	—	38	4	no	—
135	C₄⋊C₈	—	76	4	no	—
136	#97	—	38	8	no	—
137	C₄×C₈	—	19	4	no	—
138	C₄×C₈	—	38	2	no	—
139	#95	—	2	2	no	—
140	#95	—	2	2	no	—
141	#95	—	2	2	no	—
142	C₁₉	#9876	1	1	yes	characteristic, complemented, Sylow
143	C₂²×C₄	—	2	2	no	—
144	C₂²×C₄	—	2	2	no	—
145	C₂²×C₄	C₂²⋊Dic₁₉	1	2	yes	—
146	C₂²×C₄	C₂²⋊Dic₁₉	1	2	yes	—
147	C₂²×C₄	C₂²×Dic₁₉	1	1	yes	characteristic
148	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
149	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
150	C₂×C₈	—	38	8	no	—
151	C₂×C₈	—	38	4	no	—
152	C₂×C₈	—	76	2	no	—
153	C₂×C₈	—	76	4	no	—
154	C₄⋊C₄	—	2	8	no	—
155	C₄⋊C₄	—	2	2	no	—
156	C₄⋊C₄	—	2	4	no	—
157	C₄⋊C₄	—	4	4	no	—
158	C₄⋊C₄	#64520	1	4	yes	—
159	C₄²	—	2	2	no	—
160	C₄²	—	2	2	no	—
161	C₄²	—	2	2	no	—
162	C₄²	—	2	4	no	—
163	C₄²	—	2	2	no	—
164	C₄²	—	4	2	no	—
165	C₄²	—	4	2	no	—
166	C₄²	Q₈×D₁₉	1	2	yes	—
167	C₄²	#64545	1	2	yes	—
168	C₂³	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
169	C₂×C₄	—	2	2	no	—
170	C₂×C₄	—	2	2	no	—
171	C₂×C₄	—	2	2	no	—
172	C₂×C₄	—	2	2	no	—
173	C₂×C₄	—	2	2	no	—
174	C₂×C₄	—	2	2	no	—
175	C₂×C₄	—	2	4	no	—
176	C₂×C₄	—	4	2	no	—
177	C₂×C₄	—	4	2	no	—
178	C₂×C₄	—	4	2	no	—
179	C₂×C₄	—	4	2	no	—
180	C₂×C₄	—	4	2	no	—
181	C₂×C₄	#10597294	1	4	yes	—
182	C₂×C₄	C₂×#64520	1	2	yes	—
183	C₂×C₄	#10597390	1	1	yes	characteristic
184	C₂×C₄	Q₈×Dic₁₉	1	2	yes	—
185	C₂×C₄	#10597392	1	2	yes	—
186	C₂×C₄	#10597393	1	1	yes	characteristic
187	C₂×C₄	#10597394	1	2	yes	—
188	C₂×C₄	#10597395	1	2	yes	—
189	C₂×C₄	#10597397	1	2	yes	—
190	C₈	—	38	8	no	—
191	C₈	—	152	2	no	—
192	C₂²	#11926451	1	1	yes	characteristic
193	C₂²	#11926508	1	1	yes	characteristic
194	C₂²	#11926511	1	1	yes	characteristic
195	C₂²	#11926545	1	2	yes	—
196	C₂²	C₂×#10597294	1	2	yes	—
197	C₄	—	2	4	no	—
198	C₄	—	2	2	no	—
199	C₄	—	4	2	no	—
200	C₄	—	4	4	no	—
201	C₄	—	8	2	no	—
202	C₄	#11926675	1	4	yes	—
203	C₄	#11926910	1	1	yes	characteristic
204	C₄	#11926914	1	1	yes	characteristic
205	C₄	#11926954	1	2	yes	—
206	C₂	#14562048	1	2	yes	—
207	C₂	#14562074	1	2	yes	—
208	C₂	#14564576	1	1	yes	characteristic
209	C₂	#14564605	1	1	yes	characteristic
210	C₂	#14564613	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14563787

C₂

yes

maximal, characteristic

C₄×#10597260

C₂

yes

maximal, characteristic

#14561476

C₂

yes

maximal

C₄×C₁₉×#125

C₂

yes

maximal, characteristic

C₂×C₄⋊(C₁₉⋊C₈)

—

C₂×C₄⋊(C₁₉⋊C₈)

C₂²

yes

—

C₂×#10597260

—

C₂×C₄×C₁₉⋊C₈

C₂²

yes

—

C₂×C₁₉×#125

C₄

yes

characteristic

C₁₉×#389

C₄

yes

—

C₁₉×#387

—

C₁₉×#382

C₄

yes

characteristic

C₄×C₄⋊C₄×C₁₉

—

C₄×C₄⋊C₄×C₁₉

C₂²

yes

—

C₄³×C₁₉

C₂²

yes

characteristic

C₁₉×#125

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

C₂×C₄

yes

—

C₂×C₄⋊C₄×C₁₉

C₂×C₄

yes

—

C₂×C₄²×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

—

C₂²×C₁₉⋊C₈

—

C₁₉×#95

—

C₁₉×#95

—

C₁₉×#95

—

C₄⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

—

#10597260

—

C₄×C₁₉⋊C₈

—

C₄×C₁₉⋊C₈

Q₈

yes

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

—

C₂²×C₄×C₁₉

C₂²⋊C₄

yes

—

C₂²×C₄×C₁₉

C₂²×C₄

yes

characteristic

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

M₁₆

yes

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

C₂×Q₈

yes

—

C₄²×C₁₉

#41

yes

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

#9876

—

maximal, Sylow

C₂³×C₁₉

C₂×C₂²⋊C₄

yes

characteristic

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

#104

yes

—

C₂×C₄×C₁₉

C₄×Q₈

yes

—

C₂×C₄×C₁₉

C₂²⋊Q₈

yes

—

C₂×C₄×C₁₉

#124

yes

characteristic

C₂×C₄×C₁₉

C₄⋊Q₈

yes

characteristic

C₂×C₄×C₁₉

C₂×M₁₆

yes

—

C₂×C₄×C₁₉

#131

yes

—

C₂×C₄×C₁₉

AGL(1,ℤ/8)

yes

—

C₂×C₄×C₁₉

#137

yes

—

C₁₉⋊C₈

—

C₁₉⋊C₈

—

C₄×#125

D₁₉

yes

characteristic

#1842

—

C₄×#97

—

#1279

—

C₂²×C₁₉

yes

C₂²×C₁₉

yes

C₂²×C₁₉

yes

C₂²×C₁₉

yes

—

C₂²×C₁₉

C₂×#104

yes

—

C₄×C₁₉

—

C₄×C₁₉

—

C₄×C₁₉

—

C₄×C₁₉

—

100

C₄×C₁₉

—

101

C₄×C₁₉

#446

yes

—

102

C₄×C₁₉

#490

yes

characteristic

103

C₄×C₁₉

#491

yes

characteristic

104

C₄×C₁₉

#501

yes

—

105

C₂×#125

Dic₁₉

yes

characteristic

106

C₂×C₄⋊C₈

—

107

C₂×C₄⋊C₈

—

108

C₂×#97

—

109

C₂×C₄×C₈

—

110

#389

Dic₁₉

yes

—

111

#387

—

112

#382

Dic₁₉

yes

characteristic

113

C₄×C₄⋊C₄

—

114

C₄×C₄⋊C₄

C₂×D₁₉

yes

—

115

C₄³

C₂×D₁₉

yes

characteristic

116

C₂×C₁₉

#1483

yes

—

117

C₂×C₁₉

#1489

yes

—

118

C₂×C₁₉

#1985

yes

characteristic

119

C₂×C₁₉

#1992

yes

characteristic

120

C₂×C₁₉

#1994

yes

characteristic

121

C₂²×C₈

—

122

C₂²×C₈

—

123

#125

—

124

C₂×C₄⋊C₄

—

125

C₂×C₄⋊C₄

—

126

C₂×C₄⋊C₄

C₂×Dic₁₉

yes

—

127

C₂×C₄⋊C₄

C₂×Dic₁₉

yes

—

128

C₂×C₄²

—

129

C₂×C₄²

C₂×Dic₁₉

yes

characteristic

130

C₂×C₄²

C₂×Dic₁₉

yes

characteristic

131

C₂×C₄²

C₂²⋊D₁₉

yes

—

132

C₂×C₄²

C₂²⋊D₁₉

yes

—

133

C₂×C₄²

C₂²×D₁₉

yes

characteristic

134

C₄⋊C₈

—

135

C₄⋊C₈

—

136

#97

—

137

C₄×C₈

—

138

C₄×C₈

—

139

#95

—

140

#95

—

141

#95

—

142

C₁₉

#9876

yes

characteristic, complemented, Sylow

143

C₂²×C₄

—

144

C₂²×C₄

—

145

C₂²×C₄

C₂²⋊Dic₁₉

yes

—

146

C₂²×C₄

C₂²⋊Dic₁₉

yes

—

147

C₂²×C₄

C₂²×Dic₁₉

yes

characteristic

148

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

149

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

150

C₂×C₈

—

151

C₂×C₈

—

152

C₂×C₈

—

153

C₂×C₈

—

154

C₄⋊C₄

—

155

C₄⋊C₄

—

156

C₄⋊C₄

—

157

C₄⋊C₄

—

158

C₄⋊C₄

#64520

yes

—

159

C₄²

—

160

C₄²

—

161

C₄²

—

162

C₄²

—

163

C₄²

—

164

C₄²

—

165

C₄²

—

166

C₄²

Q₈×D₁₉

yes

—

167

C₄²

#64545

yes

—

168

C₂³

C₂×C₂²⋊Dic₁₉

yes

characteristic

169

C₂×C₄

—

170

C₂×C₄

—

171

C₂×C₄

—

172

C₂×C₄

—

173

C₂×C₄

—

174

C₂×C₄

—

175

C₂×C₄

—

176

C₂×C₄

—

177

C₂×C₄

—

178

C₂×C₄

—

179

C₂×C₄

—

180

C₂×C₄

—

181

C₂×C₄

#10597294

yes

—

182

C₂×C₄

C₂×#64520

yes

—

183

C₂×C₄

#10597390

yes

characteristic

184

C₂×C₄

Q₈×Dic₁₉

yes

—

185

C₂×C₄

#10597392

yes

—

186

C₂×C₄

#10597393

yes

characteristic

187

C₂×C₄

#10597394

yes

—

188

C₂×C₄

#10597395

yes

—

189

C₂×C₄

#10597397

yes

—

190

C₈

—

191

C₈

—

152

—

192

C₂²

#11926451

yes

characteristic

193

C₂²

#11926508

yes

characteristic

194

C₂²

#11926511

yes

characteristic

195

C₂²

#11926545

yes

—

196

C₂²

C₂×#10597294

yes

—

197

C₄

—

198

C₄

—

199

C₄

—

200

C₄

—

201

C₄

—

202

C₄

#11926675

yes

—

203

C₄

#11926910

yes

characteristic

204

C₄

#11926914

yes

characteristic

205

C₄

#11926954

yes

—

206

C₂

#14562048

yes

—

207

C₂

#14562074

yes

—

208

C₂

#14564576

yes

characteristic

209

C₂

#14564605

yes

characteristic

210

C₂

#14564613

yes

characteristic

	subgroup	G/H
center	C₂²×C₄	C₂×C₂²⋊D₁₉
commutator	C₂²×C₄×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₄×C₁₉×#125	C₂
socle, prime radical	C₂³×C₁₉	C₂×C₂²⋊C₄
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	C₄×#125	D₁₉
hypocenter	C₁₉	#9876
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂²×C₄ ◁ C₄³ ◁ C₄×#125

subgroup

G/H

center

C₂²×C₄

C₂×C₂²⋊D₁₉

commutator

C₂²×C₄×C₁₉

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting

C₄×C₁₉×#125

C₂

socle, prime radical

C₂³×C₁₉

C₂×C₂²⋊C₄

cosocle

C₂×C₄²×C₁₉

C₂³

D₁₉

C₁₉

G ▷ C₂²×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂²×C₄ ◁ C₄³ ◁ C₄×#125

N	H ≅ G/N	type
142. C₁₉	#9876	semidirect

H ≅ G/N

type

142. C₁₉

#9876

semidirect

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

subgroup	index
#14563787	2
C₄×#10597260	2
#14561476	2
C₄×C₁₉×#125	2
#9876	19

subgroup

index

C₄×C₁₉×#125

Subgroups — #18082571

Conjugacy classes of subgroups

Complements

Maximal subgroups