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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
3
and Q=
C
20
.
4
C
8
Direct product G=N×Q with N=
C
3
and Q=
C
20
.
4
C
8
d
ρ
Label
ID
C
3
×C
20
.
4
C
8
240
2
C3xC20.4C8
480,90
Semidirect products G=N:Q with N=
C
3
and Q=
C
20
.
4
C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
20
.
4
C
8
) =
C
40
.
52
D
6
φ:
C
20
.
4
C
8
/
C
5
⋊
2
C
16
→
C
2
⊆ Aut
C
3
240
4
C3:1(C20.4C8)
480,11
C
3
⋊
2
(C
20
.
4
C
8
) =
C
60
.
7
C
8
φ:
C
20
.
4
C
8
/
C
2
×C
40
→
C
2
⊆ Aut
C
3
240
2
C3:2(C20.4C8)
480,172
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