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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
⋊
3
C
8
Direct product G=N×Q with N=
C
3
and Q=
C
20
⋊
3
C
8
d
ρ
Label
ID
C
3
×C
20
⋊
3
C
8
480
C3xC20:3C8
480,82
Semidirect products G=N:Q with N=
C
3
and Q=
C
20
⋊
3
C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
20
⋊
3
C
8
) =
C
60
.
15
Q
8
φ:
C
20
⋊
3
C
8
/
C
2
×C
5
⋊
2
C
8
→
C
2
⊆ Aut
C
3
480
C3:1(C20:3C8)
480,60
C
3
⋊
2
(C
20
⋊
3
C
8
) =
C
60
⋊
5
C
8
φ:
C
20
⋊
3
C
8
/
C
4
×C
20
→
C
2
⊆ Aut
C
3
480
C3:2(C20:3C8)
480,164
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