Group #14578349 — subgroups

Subgroups — C₂²×D₈×D₁₉ #14578349

Order 2432.

1976 conjugacy classes of subgroups; only the 565 normal subgroups are shown.

normal subgroups only

This group has 1976 conjugacy classes of subgroups — too many to draw. Only its 565 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	C₂²×D₄×D₁₉	C₂	1	2	yes	maximal, complemented
2	C₂²×D₁₅₂	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#64525	C₂	1	2	yes	maximal, complemented
4	C₂×D₈×D₁₉	C₂	1	24	yes	maximal, direct product factor
5	C₂²×C₈×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×D₈×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂⁴×D₁₉	—	2	2	no	—
8	C₂²×D₄×C₁₉	C₂²	1	2	yes	complemented
9	C₂²×C₂²⋊D₁₉	—	2	2	no	—
10	C₂×D₄×D₁₉	—	2	12	no	—
11	C₂×D₄×D₁₉	C₂²	1	24	yes	complemented
12	C₂²×D₇₆	C₂²	1	2	yes	complemented
13	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic
14	C₂×D₈×C₁₉	C₂²	1	12	yes	complemented
15	C₂²×C₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
16	C₂×#64525	C₂²	1	24	yes	complemented
17	C₂²×C₁₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
18	D₈×D₁₉	C₂²	1	64	yes	direct product factor
19	C₂×D₁₅₂	C₂²	1	12	yes	complemented
20	C₂×C₈×D₁₉	C₂²	1	12	yes	complemented
21	C₂⁴×C₁₉	—	2	2	no	—
22	C₂³×D₁₉	—	2	2	no	—
23	C₂³×D₁₉	—	2	24	no	—
24	C₂³×D₁₉	—	4	16	no	—
25	C₂³×D₁₉	D₄	1	1	yes	characteristic
26	C₂×D₄×C₁₉	—	2	6	no	—
27	C₂×D₄×C₁₉	C₂³	1	12	yes	complemented
28	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
29	C₂×C₂²⋊D₁₉	—	2	24	no	—
30	C₂²×Dic₁₉	D₄	1	1	yes	characteristic
31	D₄×D₁₉	—	2	48	no	—
32	D₄×D₁₉	C₂³	1	32	yes	complemented
33	C₂×D₇₆	—	2	6	no	—
34	C₂×D₇₆	C₂³	1	12	yes	complemented
35	C₂×C₄×D₁₉	D₄	1	6	yes	—
36	C₂×C₄×D₁₉	C₂³	1	6	yes	—
37	D₈×C₁₉	C₂³	1	16	yes	complemented
38	C₂×C₈×C₁₉	C₂³	1	6	yes	complemented
39	#64525	C₂³	1	32	yes	complemented
40	C₂×C₁₉⋊C₈	C₂³	1	6	yes	complemented
41	D₁₅₂	C₂³	1	16	yes	complemented
42	C₈×D₁₉	C₂³	1	16	yes	complemented
43	C₂³×C₁₉	—	2	12	no	—
44	C₂³×C₁₉	—	4	8	no	—
45	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
46	C₂²×D₁₉	—	2	12	no	—
47	C₂²×D₁₉	—	2	32	no	—
48	C₂²×D₁₉	—	4	8	no	—
49	C₂²×D₁₉	—	4	96	no	—
50	C₂²×D₁₉	D₈	1	8	yes	direct product factor
51	C₂²×D₁₉	C₂×D₄	1	6	yes	—
52	D₄×C₁₉	—	2	12	no	—
53	D₄×C₁₉	C₂⁴	1	8	yes	complemented
54	C₂×C₄×C₁₉	C₂×D₄	1	3	yes	—
55	C₂×C₄×C₁₉	C₂⁴	1	3	yes	—
56	C₂²⋊D₁₉	—	2	32	no	—
57	C₂×Dic₁₉	C₂×D₄	1	6	yes	—
58	D₇₆	—	2	12	no	—
59	D₇₆	C₂⁴	1	8	yes	complemented
60	C₄×D₁₉	C₂×D₄	1	12	yes	—
61	C₄×D₁₉	C₂⁴	1	4	yes	—
62	C₈×C₁₉	C₂⁴	1	4	yes	complemented
63	C₁₉⋊C₈	C₂⁴	1	4	yes	complemented
64	C₂³×D₈	—	19	1	no	maximal, Sylow
65	C₂²×C₁₉	—	2	8	no	—
66	C₂²×C₁₉	—	4	24	no	—
67	C₂²×C₁₉	C₂×D₈	1	4	yes	complemented
68	C₂²×C₁₉	C₂²×D₄	1	3	yes	—
69	C₂×D₁₉	—	2	8	no	—
70	C₂×D₁₉	—	4	24	no	—
71	C₂×D₁₉	—	4	64	no	—
72	C₂×D₁₉	C₂×D₈	1	24	yes	direct product factor
73	C₂×D₁₉	C₂²×D₄	1	4	yes	—
74	C₄×C₁₉	C₂²×D₄	1	3	yes	—
75	C₄×C₁₉	C₂⁵	1	1	yes	characteristic
76	Dic₁₉	C₂²×D₄	1	4	yes	—
77	C₂³×D₄	—	19	2	no	—
78	C₂²×D₈	—	19	2	no	—
79	C₂²×D₈	—	19	24	no	—
80	C₂²×D₈	—	19	1	no	—
81	C₂²×D₈	D₁₉	1	1	yes	characteristic, direct product factor
82	C₂³×C₈	—	19	1	no	—
83	C₂×C₁₉	—	4	8	no	—
84	C₂×C₁₉	C₂²×D₈	1	6	yes	complemented
85	C₂×C₁₉	C₂³×D₄	1	1	yes	characteristic
86	D₁₉	—	4	8	no	—
87	D₁₉	C₂²×D₈	1	8	yes	direct product factor
88	C₂⁵	—	38	2	no	—
89	C₂²×D₄	—	19	24	no	—
90	C₂²×D₄	—	19	2	no	—
91	C₂²×D₄	—	38	12	no	—
92	C₂²×D₄	—	38	2	no	—
93	C₂²×D₄	C₂×D₁₉	1	2	yes	complemented
94	C₂³×C₄	—	19	1	no	—
95	C₂×D₈	—	19	24	no	—
96	C₂×D₈	—	19	64	no	—
97	C₂×D₈	—	19	12	no	—
98	C₂×D₈	C₂×D₁₉	1	12	yes	direct product factor
99	C₂²×C₈	—	19	1	no	—
100	C₂²×C₈	—	19	12	no	—
101	C₂²×C₈	C₂×D₁₉	1	1	yes	characteristic, complemented
102	C₁₉	C₂³×D₈	1	1	yes	characteristic, complemented, Sylow
103	C₂⁴	—	2	2	no	—
104	C₂⁴	—	19	1	no	—
105	C₂⁴	—	38	24	no	—
106	C₂⁴	—	38	2	no	—
107	C₂⁴	—	76	16	no	—
108	C₂×D₄	—	2	6	no	—
109	C₂×D₄	—	19	32	no	—
110	C₂×D₄	—	19	12	no	—
111	C₂×D₄	—	38	48	no	—
112	C₂×D₄	—	38	24	no	—
113	C₂×D₄	—	38	6	no	—
114	C₂×D₄	C₂²×D₁₉	1	12	yes	complemented
115	C₂²×C₄	—	19	1	no	—
116	C₂²×C₄	—	19	6	no	—
117	C₂²×C₄	—	19	6	no	—
118	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
119	D₈	—	19	32	no	—
120	D₈	—	19	16	no	—
121	D₈	C₂²×D₁₉	1	16	yes	direct product factor
122	C₂×C₈	—	19	6	no	—
123	C₂×C₈	—	19	16	no	—
124	C₂×C₈	C₂²×D₁₉	1	6	yes	complemented
125	C₂³	—	2	12	no	—
126	C₂³	—	4	8	no	—
127	C₂³	—	19	6	no	—
128	C₂³	—	19	8	no	—
129	C₂³	—	38	32	no	—
130	C₂³	—	38	12	no	—
131	C₂³	—	76	96	no	—
132	C₂³	—	76	8	no	—
133	C₂³	D₄×D₁₉	1	1	yes	characteristic
134	D₄	—	2	12	no	—
135	D₄	—	19	8	no	—
136	D₄	—	38	32	no	—
137	D₄	—	38	12	no	—
138	D₄	C₂³×D₁₉	1	8	yes	complemented
139	C₂×C₄	—	19	6	no	—
140	C₂×C₄	—	19	12	no	—
141	C₂×C₄	—	19	4	no	—
142	C₂×C₄	D₄×D₁₉	1	3	yes	—
143	C₂×C₄	C₂³×D₁₉	1	3	yes	—
144	C₈	—	19	4	no	—
145	C₈	C₂³×D₁₉	1	4	yes	complemented
146	C₂²	—	2	8	no	—
147	C₂²	—	4	24	no	—
148	C₂²	—	19	24	no	—
149	C₂²	—	19	4	no	—
150	C₂²	—	38	8	no	—
151	C₂²	—	76	64	no	—
152	C₂²	—	76	24	no	—
153	C₂²	D₈×D₁₉	1	4	yes	direct product factor
154	C₂²	C₂×D₄×D₁₉	1	3	yes	—
155	C₄	—	19	4	no	—
156	C₄	C₂×D₄×D₁₉	1	3	yes	—
157	C₄	C₂⁴×D₁₉	1	1	yes	characteristic
158	C₂	—	4	8	no	—
159	C₂	—	19	8	no	—
160	C₂	—	76	8	no	—
161	C₂	C₂×D₈×D₁₉	1	6	yes	direct product factor
162	C₂	C₂²×D₄×D₁₉	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂²×D₄×D₁₉

C₂

yes

maximal, complemented

C₂²×D₁₅₂

C₂

yes

maximal, characteristic, complemented

C₂²×#64525

C₂

yes

maximal, complemented

C₂×D₈×D₁₉

C₂

yes

maximal, direct product factor

C₂²×C₈×D₁₉

C₂

yes

maximal, characteristic, complemented

C₂²×D₈×C₁₉

C₂

yes

maximal, characteristic, complemented

C₂⁴×D₁₉

—

C₂²×D₄×C₁₉

C₂²

yes

complemented

C₂²×C₂²⋊D₁₉

—

C₂×D₄×D₁₉

—

C₂×D₄×D₁₉

C₂²

yes

complemented

C₂²×D₇₆

C₂²

yes

complemented

C₂²×C₄×D₁₉

C₂²

yes

characteristic

C₂×D₈×C₁₉

C₂²

yes

complemented

C₂²×C₈×C₁₉

C₂²

yes

characteristic, complemented

C₂×#64525

C₂²

yes

complemented

C₂²×C₁₉⋊C₈

C₂²

yes

characteristic, complemented

D₈×D₁₉

C₂²

yes

direct product factor

C₂×D₁₅₂

C₂²

yes

complemented

C₂×C₈×D₁₉

C₂²

yes

complemented

C₂⁴×C₁₉

—

C₂³×D₁₉

—

C₂³×D₁₉

—

C₂³×D₁₉

—

C₂³×D₁₉

D₄

yes

characteristic

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

C₂³

yes

complemented

C₂²×C₄×C₁₉

C₂³

yes

characteristic

C₂×C₂²⋊D₁₉

—

C₂²×Dic₁₉

D₄

yes

characteristic

D₄×D₁₉

—

D₄×D₁₉

C₂³

yes

complemented

C₂×D₇₆

—

C₂×D₇₆

C₂³

yes

complemented

C₂×C₄×D₁₉

D₄

yes

—

C₂×C₄×D₁₉

C₂³

yes

—

D₈×C₁₉

C₂³

yes

complemented

C₂×C₈×C₁₉

C₂³

yes

complemented

#64525

C₂³

yes

complemented

C₂×C₁₉⋊C₈

C₂³

yes

complemented

D₁₅₂

C₂³

yes

complemented

C₈×D₁₉

C₂³

yes

complemented

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

C₂×D₄

yes

characteristic

C₂²×D₁₉

—

C₂²×D₁₉

—

C₂²×D₁₉

—

C₂²×D₁₉

—

C₂²×D₁₉

D₈

yes

direct product factor

C₂²×D₁₉

C₂×D₄

yes

—

D₄×C₁₉

—

D₄×C₁₉

C₂⁴

yes

complemented

C₂×C₄×C₁₉

C₂×D₄

yes

—

C₂×C₄×C₁₉

C₂⁴

yes

—

C₂²⋊D₁₉

—

C₂×Dic₁₉

C₂×D₄

yes

—

D₇₆

—

D₇₆

C₂⁴

yes

complemented

C₄×D₁₉

C₂×D₄

yes

—

C₄×D₁₉

C₂⁴

yes

—

C₈×C₁₉

C₂⁴

yes

complemented

C₁₉⋊C₈

C₂⁴

yes

complemented

C₂³×D₈

—

maximal, Sylow

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

C₂×D₈

yes

complemented

C₂²×C₁₉

C₂²×D₄

yes

—

C₂×D₁₉

—

C₂×D₁₉

—

C₂×D₁₉

—

C₂×D₁₉

C₂×D₈

yes

direct product factor

C₂×D₁₉

C₂²×D₄

yes

—

C₄×C₁₉

C₂²×D₄

yes

—

C₄×C₁₉

C₂⁵

yes

characteristic

Dic₁₉

C₂²×D₄

yes

—

C₂³×D₄

—

C₂²×D₈

—

C₂²×D₈

—

C₂²×D₈

—

C₂²×D₈

D₁₉

yes

characteristic, direct product factor

C₂³×C₈

—

C₂×C₁₉

—

C₂×C₁₉

C₂²×D₈

yes

complemented

C₂×C₁₉

C₂³×D₄

yes

characteristic

D₁₉

—

D₁₉

C₂²×D₈

yes

direct product factor

C₂⁵

—

C₂²×D₄

—

C₂²×D₄

—

C₂²×D₄

—

C₂²×D₄

—

C₂²×D₄

C₂×D₁₉

yes

complemented

C₂³×C₄

—

C₂×D₈

—

C₂×D₈

—

C₂×D₈

—

C₂×D₈

C₂×D₁₉

yes

direct product factor

C₂²×C₈

—

100

C₂²×C₈

—

101

C₂²×C₈

C₂×D₁₉

yes

characteristic, complemented

102

C₁₉

C₂³×D₈

yes

characteristic, complemented, Sylow

103

C₂⁴

—

104

C₂⁴

—

105

C₂⁴

—

106

C₂⁴

—

107

C₂⁴

—

108

C₂×D₄

—

109

C₂×D₄

—

110

C₂×D₄

—

111

C₂×D₄

—

112

C₂×D₄

—

113

C₂×D₄

—

114

C₂×D₄

C₂²×D₁₉

yes

complemented

115

C₂²×C₄

—

116

C₂²×C₄

—

117

C₂²×C₄

—

118

C₂²×C₄

C₂²×D₁₉

yes

characteristic

119

D₈

—

120

D₈

—

121

D₈

C₂²×D₁₉

yes

direct product factor

122

C₂×C₈

—

123

C₂×C₈

—

124

C₂×C₈

C₂²×D₁₉

yes

complemented

125

C₂³

—

126

C₂³

—

127

C₂³

—

128

C₂³

—

129

C₂³

—

130

C₂³

—

131

C₂³

—

132

C₂³

—

133

C₂³

D₄×D₁₉

yes

characteristic

134

D₄

—

135

D₄

—

136

D₄

—

137

D₄

—

138

D₄

C₂³×D₁₉

yes

complemented

139

C₂×C₄

—

140

C₂×C₄

—

141

C₂×C₄

—

142

C₂×C₄

D₄×D₁₉

yes

—

143

C₂×C₄

C₂³×D₁₉

yes

—

144

C₈

—

145

C₈

C₂³×D₁₉

yes

complemented

146

C₂²

—

147

C₂²

—

148

C₂²

—

149

C₂²

—

150

C₂²

—

151

C₂²

—

152

C₂²

—

153

C₂²

D₈×D₁₉

yes

direct product factor

154

C₂²

C₂×D₄×D₁₉

yes

—

155

C₄

—

156

C₄

C₂×D₄×D₁₉

yes

—

157

C₄

C₂⁴×D₁₉

yes

characteristic

158

C₂

—

159

C₂

—

160

C₂

—

161

C₂

C₂×D₈×D₁₉

yes

direct product factor

162

C₂

C₂²×D₄×D₁₉

yes

characteristic

	subgroup	G/H
center	C₂³	D₄×D₁₉
commutator, cosocle	C₄×C₁₉	C₂⁵
Frattini	C₄	C₂⁴×D₁₉
Fitting	C₂²×D₈×C₁₉	C₂
socle	C₂³×C₁₉	C₂×D₄
hypercenter	C₂²×D₈	D₁₉
hypocenter	C₁₉	C₂³×D₈
LCS	G ▷ C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂²×D₈

subgroup

G/H

center

C₂³

D₄×D₁₉

commutator, cosocle

C₄×C₁₉

C₂⁵

Frattini

C₄

C₂⁴×D₁₉

Fitting

C₂²×D₈×C₁₉

C₂

socle

C₂³×C₁₉

C₂×D₄

hypercenter

C₂²×D₈

D₁₉

hypocenter

C₁₉

C₂³×D₈

LCS

G ▷ C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂²×D₈

N	H ≅ G/N	type
1. C₂²×D₄×D₁₉	C₂	semidirect
2. C₂²×D₁₅₂	C₂	semidirect
3. C₂²×#64525	C₂	semidirect
4. C₂×D₈×D₁₉	C₂	direct (N × H)
5. C₂²×C₈×D₁₉	C₂	semidirect
6. C₂²×D₈×C₁₉	C₂	semidirect
8. C₂²×D₄×C₁₉	C₂²	semidirect
11. C₂×D₄×D₁₉	C₂²	semidirect
12. C₂²×D₇₆	C₂²	semidirect
14. C₂×D₈×C₁₉	C₂²	semidirect
15. C₂²×C₈×C₁₉	C₂²	semidirect
16. C₂×#64525	C₂²	semidirect
17. C₂²×C₁₉⋊C₈	C₂²	semidirect
18. D₈×D₁₉	C₂²	direct (N × H)
19. C₂×D₁₅₂	C₂²	semidirect
20. C₂×C₈×D₁₉	C₂²	semidirect
27. C₂×D₄×C₁₉	C₂³	semidirect
32. D₄×D₁₉	C₂³	semidirect
34. C₂×D₇₆	C₂³	semidirect
37. D₈×C₁₉	C₂³	semidirect
38. C₂×C₈×C₁₉	C₂³	semidirect
39. #64525	C₂³	semidirect
40. C₂×C₁₉⋊C₈	C₂³	semidirect
41. D₁₅₂	C₂³	semidirect
42. C₈×D₁₉	C₂³	semidirect
50. C₂²×D₁₉	D₈	direct (N × H)
53. D₄×C₁₉	C₂⁴	semidirect
59. D₇₆	C₂⁴	semidirect
62. C₈×C₁₉	C₂⁴	semidirect
63. C₁₉⋊C₈	C₂⁴	semidirect
67. C₂²×C₁₉	C₂×D₈	semidirect
72. C₂×D₁₉	C₂×D₈	direct (N × H)
81. C₂²×D₈	D₁₉	direct (N × H)
84. C₂×C₁₉	C₂²×D₈	semidirect
87. D₁₉	C₂²×D₈	direct (N × H)
93. C₂²×D₄	C₂×D₁₉	semidirect
98. C₂×D₈	C₂×D₁₉	direct (N × H)
101. C₂²×C₈	C₂×D₁₉	semidirect
102. C₁₉	C₂³×D₈	semidirect
114. C₂×D₄	C₂²×D₁₉	semidirect
121. D₈	C₂²×D₁₉	direct (N × H)
124. C₂×C₈	C₂²×D₁₉	semidirect
138. D₄	C₂³×D₁₉	semidirect
145. C₈	C₂³×D₁₉	semidirect
153. C₂²	D₈×D₁₉	direct (N × H)
161. C₂	C₂×D₈×D₁₉	direct (N × H)

H ≅ G/N

type

1. C₂²×D₄×D₁₉

C₂

semidirect

2. C₂²×D₁₅₂

C₂

semidirect

3. C₂²×#64525

C₂

semidirect

4. C₂×D₈×D₁₉

C₂

direct (N × H)

5. C₂²×C₈×D₁₉

C₂

semidirect

6. C₂²×D₈×C₁₉

C₂

semidirect

8. C₂²×D₄×C₁₉

C₂²

semidirect

11. C₂×D₄×D₁₉

C₂²

semidirect

12. C₂²×D₇₆

C₂²

semidirect

14. C₂×D₈×C₁₉

C₂²

semidirect

15. C₂²×C₈×C₁₉

C₂²

semidirect

16. C₂×#64525

C₂²

semidirect

17. C₂²×C₁₉⋊C₈

C₂²

semidirect

18. D₈×D₁₉

C₂²

direct (N × H)

19. C₂×D₁₅₂

C₂²

semidirect

20. C₂×C₈×D₁₉

C₂²

semidirect

27. C₂×D₄×C₁₉

C₂³

semidirect

32. D₄×D₁₉

C₂³

semidirect

34. C₂×D₇₆

C₂³

semidirect

37. D₈×C₁₉

C₂³

semidirect

38. C₂×C₈×C₁₉

C₂³

semidirect

39. #64525

C₂³

semidirect

40. C₂×C₁₉⋊C₈

C₂³

semidirect

41. D₁₅₂

C₂³

semidirect

42. C₈×D₁₉

C₂³

semidirect

50. C₂²×D₁₉

D₈

direct (N × H)

53. D₄×C₁₉

C₂⁴

semidirect

59. D₇₆

C₂⁴

semidirect

62. C₈×C₁₉

C₂⁴

semidirect

63. C₁₉⋊C₈

C₂⁴

semidirect

67. C₂²×C₁₉

C₂×D₈

semidirect

72. C₂×D₁₉

C₂×D₈

direct (N × H)

81. C₂²×D₈

D₁₉

direct (N × H)

84. C₂×C₁₉

C₂²×D₈

semidirect

87. D₁₉

C₂²×D₈

direct (N × H)

93. C₂²×D₄

C₂×D₁₉

semidirect

98. C₂×D₈

C₂×D₁₉

direct (N × H)

101. C₂²×C₈

C₂×D₁₉

semidirect

102. C₁₉

C₂³×D₈

semidirect

114. C₂×D₄

C₂²×D₁₉

semidirect

121. D₈

C₂²×D₁₉

direct (N × H)

124. C₂×C₈

C₂²×D₁₉

semidirect

138. D₄

C₂³×D₁₉

semidirect

145. C₈

C₂³×D₁₉

semidirect

153. C₂²

D₈×D₁₉

direct (N × H)

161. C₂

C₂×D₈×D₁₉

direct (N × H)

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

subgroup	index
C₂²×D₄×D₁₉	2
C₂²×D₁₅₂	2
C₂²×#64525	2
C₂×D₈×D₁₉	2
C₂²×C₈×D₁₉	2
C₂²×D₈×C₁₉	2
C₂³×D₈	19

subgroup

index

C₂²×D₄×D₁₉

C₂²×D₁₅₂

C₂²×#64525

C₂×D₈×D₁₉

C₂²×C₈×D₁₉

C₂²×D₈×C₁₉

C₂³×D₈

Subgroups — C₂²×D₈×D₁₉ #14578349

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C22×D8×D19 #14578349

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×D₈×D₁₉ #14578349