Group #14571680 — subgroups

Subgroups — #14571680

Order 2432.

580 conjugacy classes of subgroups; only the 133 normal subgroups are shown.

normal subgroups only

This group has 580 conjugacy classes of subgroups — too many to draw. Only its 133 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×#10597321	C₂	1	1	yes	maximal, characteristic, complemented
2	#11926460	C₂	1	4	yes	maximal, complemented
3	#11926456	C₂	1	2	yes	maximal, complemented
4	#11926455	C₂	1	2	yes	maximal, complemented
5	#11926453	C₂	1	2	yes	maximal, complemented
6	#11926452	C₂	1	2	yes	maximal, complemented
7	#11926410	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₉×#124	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×Q₈×C₁₉	C₂²	1	1	yes	characteristic
10	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic
11	C₂²×C₂²⋊D₁₉	C₂²	1	4	yes	—
12	C₂²×D₇₆	C₂²	1	1	yes	characteristic
13	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic
14	C₁₉×#124	—	2	4	no	—
15	C₂×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
16	C₂×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
17	C₂×C₄²×C₁₉	C₂²	1	1	yes	characteristic
18	C₂×C₂²⋊Dic₁₉	C₂²	1	4	yes	—
19	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	2	yes	—
20	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	2	yes	—
21	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	4	yes	—
22	C₂×C₄⋊Dic₁₉	C₂²	1	2	yes	—
23	#10597321	—	2	4	no	—
24	C₁₉⋊#95	C₂²	1	2	yes	—
25	C₁₉⋊#95	C₂²	1	2	yes	—
26	C₁₉⋊#95	C₂²	1	4	yes	—
27	C₂⁴×C₁₉	C₂³	1	2	yes	—
28	C₂³×D₁₉	C₂³	1	2	yes	—
29	C₂×Q₈×C₁₉	—	2	2	no	—
30	C₂×Q₈×C₁₉	—	4	2	no	—
31	C₂×D₄×C₁₉	—	2	2	no	—
32	C₂×D₄×C₁₉	—	4	2	no	—
33	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
34	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
35	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
36	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
37	C₂×C₂²⋊D₁₉	—	4	4	no	—
38	C₂×C₂²⋊D₁₉	—	4	4	no	—
39	C₂×C₂²⋊D₁₉	—	4	4	no	—
40	C₂²×Dic₁₉	C₂³	1	2	yes	—
41	C₂²×Dic₁₉	C₂³	1	4	yes	—
42	C₂×D₇₆	—	2	2	no	—
43	C₂×D₇₆	—	4	2	no	—
44	C₂×Dic₃₈	—	2	2	no	—
45	C₂×Dic₃₈	—	4	2	no	—
46	C₂²⋊C₄×C₁₉	—	2	4	no	—
47	C₂²⋊C₄×C₁₉	—	2	4	no	—
48	C₄²×C₁₉	D₄	1	4	yes	complemented
49	C₂²⋊Dic₁₉	—	4	4	no	—
50	(C₂×D₁₉)⋊C₄	—	2	4	no	—
51	(C₂×D₁₉)⋊C₄	—	2	4	no	—
52	(C₂×D₁₉)⋊C₄	—	4	4	no	—
53	C₄⋊Dic₁₉	—	4	2	no	—
54	C₂³×C₁₉	—	2	2	no	—
55	C₂³×C₁₉	—	2	4	no	—
56	C₂³×C₁₉	—	2	2	no	—
57	C₂³×C₁₉	—	2	4	no	—
58	C₂³×C₁₉	—	2	2	no	—
59	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
60	C₂²×D₁₉	—	2	2	no	—
61	C₂²×D₁₉	—	2	4	no	—
62	C₂²×D₁₉	—	2	4	no	—
63	C₂²×D₁₉	—	2	2	no	—
64	C₂²×D₁₉	—	2	2	no	—
65	Q₈×C₁₉	—	4	4	no	—
66	D₄×C₁₉	—	4	4	no	—
67	C₂×C₄×C₁₉	—	2	1	no	—
68	C₂×C₄×C₁₉	—	2	2	no	—
69	C₂×C₄×C₁₉	—	2	2	no	—
70	C₂×C₄×C₁₉	—	2	1	no	—
71	C₂×C₄×C₁₉	—	2	2	no	—
72	C₂×C₄×C₁₉	—	2	4	no	—
73	C₂×C₄×C₁₉	C₂×D₄	1	2	yes	—
74	C₂×C₄×C₁₉	C₂×D₄	1	2	yes	—
75	C₂×C₄×C₁₉	C₂×D₄	1	2	yes	—
76	C₂²⋊D₁₉	—	4	16	no	—
77	C₂×Dic₁₉	—	2	2	no	—
78	C₂×Dic₁₉	—	2	4	no	—
79	C₂×Dic₁₉	—	2	4	no	—
80	C₂×Dic₁₉	—	2	4	no	—
81	C₂×Dic₁₉	—	2	4	no	—
82	D₇₆	—	4	4	no	—
83	Dic₃₈	—	4	4	no	—
84	#2819	—	19	1	no	maximal, Sylow
85	C₂²×C₁₉	—	4	2	no	—
86	C₂²×C₁₉	—	4	2	no	—
87	C₂²×C₁₉	—	4	2	no	—
88	C₂²×C₁₉	—	4	4	no	—
89	C₂²×C₁₉	—	4	4	no	—
90	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
91	C₂²×C₁₉	H(5,𝔽₂)	1	2	yes	—
92	C₂²×C₁₉	H(5,𝔽₂)	1	2	yes	—
93	C₂²×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
94	C₂²×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
95	C₂×D₁₉	—	4	2	no	—
96	C₂×D₁₉	—	4	2	no	—
97	C₂×D₁₉	—	4	2	no	—
98	C₂×D₁₉	—	4	4	no	—
99	C₂×D₁₉	—	4	4	no	—
100	C₄×C₁₉	—	2	2	no	—
101	C₄×C₁₉	—	2	2	no	—
102	C₄×C₁₉	—	2	2	no	—
103	C₄×C₁₉	—	4	2	no	—
104	Dic₁₉	—	4	2	no	—
105	Dic₁₉	—	4	4	no	—
106	C₂×#124	—	19	1	no	—
107	C₂×#124	D₁₉	1	1	yes	characteristic, complemented
108	#394	—	19	4	no	—
109	#393	—	19	2	no	—
110	#393	—	19	2	no	—
111	#392	—	19	2	no	—
112	#392	—	19	2	no	—
113	#382	—	19	1	no	—
114	C₂×C₁₉	—	8	2	no	—
115	C₂×C₁₉	#535	1	1	yes	characteristic
116	C₂×C₁₉	#535	1	1	yes	characteristic
117	C₂×C₁₉	#537	1	1	yes	characteristic
118	C₂×C₁₉	H(3,𝔽₄)	1	2	yes	—
119	C₂×C₁₉	#562	1	2	yes	—
120	D₁₉	—	8	2	no	—
121	C₂²×Q₈	—	19	1	no	—
122	C₂²×Q₈	C₂×D₁₉	1	1	yes	characteristic
123	C₂²×D₄	—	19	4	no	—
124	C₂²×D₄	—	19	1	no	—
125	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic
126	#124	—	2	4	no	—
127	#124	—	38	4	no	—
128	C₂×C₄⋊C₄	—	19	2	no	—
129	C₂×C₂²⋊C₄	—	19	2	no	—
130	C₂×C₂²⋊C₄	—	19	2	no	—
131	C₂×C₂²⋊C₄	—	19	4	no	—
132	C₂×C₂²⋊C₄	—	19	4	no	—
133	C₂×C₂²⋊C₄	C₂×D₁₉	1	2	yes	—
134	C₂×C₂²⋊C₄	C₂×D₁₉	1	2	yes	—
135	C₂×C₄²	C₂×D₁₉	1	1	yes	characteristic
136	#95	—	19	2	no	—
137	#95	—	19	2	no	—
138	#95	—	19	4	no	—
139	C₁₉	#2819	1	1	yes	characteristic, complemented, Sylow
140	C₂⁴	—	19	2	no	—
141	C₂⁴	C₂²×D₁₉	1	2	yes	—
142	C₂×Q₈	—	2	2	no	—
143	C₂×Q₈	—	4	2	no	—
144	C₂×Q₈	—	38	2	no	—
145	C₂×Q₈	—	76	2	no	—
146	C₂×D₄	—	2	2	no	—
147	C₂×D₄	—	4	2	no	—
148	C₂×D₄	—	38	2	no	—
149	C₂×D₄	—	76	2	no	—
150	C₂×D₄	—	76	4	no	—
151	C₂×D₄	—	76	4	no	—
152	C₂×D₄	—	76	4	no	—
153	C₂²×C₄	—	19	4	no	—
154	C₂²×C₄	—	19	2	no	—
155	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
156	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
157	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
158	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
159	C₄⋊C₄	—	76	2	no	—
160	C₂²⋊C₄	—	2	4	no	—
161	C₂²⋊C₄	—	2	4	no	—
162	C₂²⋊C₄	—	38	4	no	—
163	C₂²⋊C₄	—	38	4	no	—
164	C₂²⋊C₄	—	76	4	no	—
165	C₂²⋊C₄	—	76	4	no	—
166	C₄²	C₂²⋊D₁₉	1	4	yes	complemented
167	C₂³	—	2	4	no	—
168	C₂³	—	2	4	no	—
169	C₂³	—	2	2	no	—
170	C₂³	—	2	2	no	—
171	C₂³	—	2	2	no	—
172	C₂³	—	38	4	no	—
173	C₂³	—	38	4	no	—
174	C₂³	—	38	2	no	—
175	C₂³	—	38	2	no	—
176	C₂³	—	38	2	no	—
177	C₂³	C₂³×D₁₉	1	1	yes	characteristic
178	Q₈	—	4	4	no	—
179	Q₈	—	76	4	no	—
180	D₄	—	4	4	no	—
181	D₄	—	76	4	no	—
182	D₄	—	76	16	no	—
183	C₂×C₄	—	2	2	no	—
184	C₂×C₄	—	2	1	no	—
185	C₂×C₄	—	2	2	no	—
186	C₂×C₄	—	2	1	no	—
187	C₂×C₄	—	2	4	no	—
188	C₂×C₄	—	2	2	no	—
189	C₂×C₄	—	38	4	no	—
190	C₂×C₄	—	38	4	no	—
191	C₂×C₄	—	38	4	no	—
192	C₂×C₄	—	38	4	no	—
193	C₂×C₄	—	38	2	no	—
194	C₂×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
195	C₂×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
196	C₂×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
197	C₂²	—	4	2	no	—
198	C₂²	—	4	2	no	—
199	C₂²	—	4	2	no	—
200	C₂²	—	4	4	no	—
201	C₂²	—	4	4	no	—
202	C₂²	—	76	2	no	—
203	C₂²	—	76	2	no	—
204	C₂²	—	76	2	no	—
205	C₂²	—	76	4	no	—
206	C₂²	—	76	4	no	—
207	C₂²	#10597430	1	2	yes	—
208	C₂²	#10597435	1	2	yes	—
209	C₂²	#10597435	1	1	yes	characteristic
210	C₂²	#10597436	1	1	yes	characteristic
211	C₂²	C₂²×C₂²⋊D₁₉	1	1	yes	characteristic
212	C₄	—	2	2	no	—
213	C₄	—	2	2	no	—
214	C₄	—	2	2	no	—
215	C₄	—	4	2	no	—
216	C₄	—	76	2	no	—
217	C₄	—	76	4	no	—
218	C₂	—	8	2	no	—
219	C₂	—	152	2	no	—
220	C₂	#11927108	1	1	yes	characteristic
221	C₂	#11927111	1	1	yes	characteristic
222	C₂	#11927122	1	1	yes	characteristic
223	C₂	#11927286	1	2	yes	—
224	C₂	#11927288	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#10597321

C₂

yes

maximal, characteristic, complemented

#11926460

C₂

yes

maximal, complemented

#11926456

C₂

yes

maximal, complemented

#11926455

C₂

yes

maximal, complemented

#11926453

C₂

yes

maximal, complemented

#11926452

C₂

yes

maximal, complemented

#11926410

C₂

yes

maximal, characteristic, complemented

C₂×C₁₉×#124

C₂

yes

maximal, characteristic, complemented

C₂²×Q₈×C₁₉

C₂²

yes

characteristic

C₂²×D₄×C₁₉

C₂²

yes

characteristic

C₂²×C₂²⋊D₁₉

C₂²

yes

—

C₂²×D₇₆

C₂²

yes

characteristic

C₂²×Dic₃₈

C₂²

yes

characteristic

C₁₉×#124

—

C₂×C₂²⋊C₄×C₁₉

C₂²

yes

—

C₂×C₂²⋊C₄×C₁₉

C₂²

yes

—

C₂×C₄²×C₁₉

C₂²

yes

characteristic

C₂×C₂²⋊Dic₁₉

C₂²

yes

—

C₂×(C₂×D₁₉)⋊C₄

C₂²

yes

—

C₂×(C₂×D₁₉)⋊C₄

C₂²

yes

—

C₂×(C₂×D₁₉)⋊C₄

C₂²

yes

—

C₂×C₄⋊Dic₁₉

C₂²

yes

—

#10597321

—

C₁₉⋊#95

C₂²

yes

—

C₁₉⋊#95

C₂²

yes

—

C₁₉⋊#95

C₂²

yes

—

C₂⁴×C₁₉

C₂³

yes

—

C₂³×D₁₉

C₂³

yes

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂²×C₄×C₁₉

C₂³

yes

—

C₂²×C₄×C₁₉

C₂³

yes

characteristic

C₂²×C₄×C₁₉

C₂³

yes

characteristic

C₂²×C₄×C₁₉

C₂³

yes

characteristic

C₂×C₂²⋊D₁₉

—

C₂×C₂²⋊D₁₉

—

C₂×C₂²⋊D₁₉

—

C₂²×Dic₁₉

C₂³

yes

—

C₂²×Dic₁₉

C₂³

yes

—

C₂×D₇₆

—

C₂×D₇₆

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

D₄

yes

complemented

C₂²⋊Dic₁₉

—

(C₂×D₁₉)⋊C₄

—

(C₂×D₁₉)⋊C₄

—

(C₂×D₁₉)⋊C₄

—

C₄⋊Dic₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

C₂⁴

yes

characteristic

C₂²×D₁₉

—

C₂²×D₁₉

—

C₂²×D₁₉

—

C₂²×D₁₉

—

C₂²×D₁₉

—

Q₈×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×D₄

yes

—

C₂×C₄×C₁₉

C₂×D₄

yes

—

C₂×C₄×C₁₉

C₂×D₄

yes

—

C₂²⋊D₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

D₇₆

—

Dic₃₈

—

#2819

—

maximal, Sylow

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

C₂²×D₄

yes

characteristic

C₂²×C₁₉

H(5,𝔽₂)

yes

—

C₂²×C₁₉

H(5,𝔽₂)

yes

—

C₂²×C₁₉

H(5,𝔽₂)

yes

characteristic

C₂²×C₁₉

2₋¹⁺⁴

yes

characteristic

C₂×D₁₉

—

C₂×D₁₉

—

C₂×D₁₉

—

C₂×D₁₉

—

C₂×D₁₉

—

100

C₄×C₁₉

—

101

C₄×C₁₉

—

102

C₄×C₁₉

—

103

C₄×C₁₉

—

104

Dic₁₉

—

105

Dic₁₉

—

106

C₂×#124

—

107

C₂×#124

D₁₉

yes

characteristic, complemented

108

#394

—

109

#393

—

110

#393

—

111

#392

—

112

#392

—

113

#382

—

114

C₂×C₁₉

—

115

C₂×C₁₉

#535

yes

characteristic

116

C₂×C₁₉

#535

yes

characteristic

117

C₂×C₁₉

#537

yes

characteristic

118

C₂×C₁₉

H(3,𝔽₄)

yes

—

119

C₂×C₁₉

#562

yes

—

120

D₁₉

—

121

C₂²×Q₈

—

122

C₂²×Q₈

C₂×D₁₉

yes

characteristic

123

C₂²×D₄

—

124

C₂²×D₄

—

125

C₂²×D₄

C₂×D₁₉

yes

characteristic

126

#124

—

127

#124

—

128

C₂×C₄⋊C₄

—

129

C₂×C₂²⋊C₄

—

130

C₂×C₂²⋊C₄

—

131

C₂×C₂²⋊C₄

—

132

C₂×C₂²⋊C₄

—

133

C₂×C₂²⋊C₄

C₂×D₁₉

yes

—

134

C₂×C₂²⋊C₄

C₂×D₁₉

yes

—

135

C₂×C₄²

C₂×D₁₉

yes

characteristic

136

#95

—

137

#95

—

138

#95

—

139

C₁₉

#2819

yes

characteristic, complemented, Sylow

140

C₂⁴

—

141

C₂⁴

C₂²×D₁₉

yes

—

142

C₂×Q₈

—

143

C₂×Q₈

—

144

C₂×Q₈

—

145

C₂×Q₈

—

146

C₂×D₄

—

147

C₂×D₄

—

148

C₂×D₄

—

149

C₂×D₄

—

150

C₂×D₄

—

151

C₂×D₄

—

152

C₂×D₄

—

153

C₂²×C₄

—

154

C₂²×C₄

—

155

C₂²×C₄

C₂²×D₁₉

yes

—

156

C₂²×C₄

C₂²×D₁₉

yes

characteristic

157

C₂²×C₄

C₂²×D₁₉

yes

characteristic

158

C₂²×C₄

C₂²×D₁₉

yes

characteristic

159

C₄⋊C₄

—

160

C₂²⋊C₄

—

161

C₂²⋊C₄

—

162

C₂²⋊C₄

—

163

C₂²⋊C₄

—

164

C₂²⋊C₄

—

165

C₂²⋊C₄

—

166

C₄²

C₂²⋊D₁₉

yes

complemented

167

C₂³

—

168

C₂³

—

169

C₂³

—

170

C₂³

—

171

C₂³

—

172

C₂³

—

173

C₂³

—

174

C₂³

—

175

C₂³

—

176

C₂³

—

177

C₂³

C₂³×D₁₉

yes

characteristic

178

Q₈

—

179

Q₈

—

180

D₄

—

181

D₄

—

182

D₄

—

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

—

193

C₂×C₄

—

194

C₂×C₄

C₂×C₂²⋊D₁₉

yes

—

195

C₂×C₄

C₂×C₂²⋊D₁₉

yes

—

196

C₂×C₄

C₂×C₂²⋊D₁₉

yes

—

197

C₂²

—

198

C₂²

—

199

C₂²

—

200

C₂²

—

201

C₂²

—

202

C₂²

—

203

C₂²

—

204

C₂²

—

205

C₂²

—

206

C₂²

—

207

C₂²

#10597430

yes

—

208

C₂²

#10597435

yes

—

209

C₂²

#10597435

yes

characteristic

210

C₂²

#10597436

yes

characteristic

211

C₂²

C₂²×C₂²⋊D₁₉

yes

characteristic

212

C₄

—

213

C₄

—

214

C₄

—

215

C₄

—

216

C₄

—

217

C₄

—

218

C₂

—

219

C₂

—

152

—

220

C₂

#11927108

yes

characteristic

221

C₂

#11927111

yes

characteristic

222

C₂

#11927122

yes

characteristic

223

C₂

#11927286

yes

—

224

C₂

#11927288

yes

—

	subgroup	G/H
center, Frattini	C₂³	C₂³×D₁₉
commutator, socle, cosocle	C₂³×C₁₉	C₂⁴
Fitting	C₂×C₁₉×#124	C₂
hypercenter	C₂×#124	D₁₉
hypocenter	C₁₉	#2819
LCS	G ▷ C₂³×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂×#124

subgroup

G/H

center, Frattini

C₂³

C₂³×D₁₉

commutator, socle, cosocle

C₂³×C₁₉

C₂⁴

Fitting

C₂×C₁₉×#124

C₂

D₁₉

C₁₉

G ▷ C₂³×C₁₉ ▷ C₁₉

C₁ ◁ C₂³ ◁ C₂×#124

N	H ≅ G/N	type
1. C₂×#10597321	C₂	semidirect
2. #11926460	C₂	semidirect
3. #11926456	C₂	semidirect
4. #11926455	C₂	semidirect
5. #11926453	C₂	semidirect
6. #11926452	C₂	semidirect
7. #11926410	C₂	semidirect
8. C₂×C₁₉×#124	C₂	semidirect
48. C₄²×C₁₉	D₄	semidirect
107. C₂×#124	D₁₉	semidirect
139. C₁₉	#2819	semidirect
166. C₄²	C₂²⋊D₁₉	semidirect

H ≅ G/N

type

1. C₂×#10597321

C₂

semidirect

2. #11926460

C₂

semidirect

3. #11926456

C₂

semidirect

4. #11926455

C₂

semidirect

5. #11926453

C₂

semidirect

6. #11926452

C₂

semidirect

7. #11926410

C₂

semidirect

8. C₂×C₁₉×#124

C₂

semidirect

48. C₄²×C₁₉

D₄

semidirect

107. C₂×#124

D₁₉

semidirect

139. C₁₉

#2819

semidirect

166. C₄²

C₂²⋊D₁₉

semidirect

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

subgroup	index
C₂×#10597321	2
#11926460	2
#11926456	2
#11926455	2
#11926453	2
#11926452	2
#11926410	2
C₂×C₁₉×#124	2
#2819	19

subgroup

index

C₂×C₁₉×#124

Subgroups — #14571680

Conjugacy classes of subgroups

Complements

Maximal subgroups