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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
5
and Q=
C
4
2
⋊C
6
Direct product G=N×Q with N=
C
5
and Q=
C
4
2
⋊C
6
d
ρ
Label
ID
C
5
×C
4
2
⋊C
6
80
6
C5xC4^2:C6
480,657
Semidirect products G=N:Q with N=
C
5
and Q=
C
4
2
⋊C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
4
2
⋊C
6
) =
(C
4
×C
20
)⋊C
6
φ:
C
4
2
⋊C
6
/
C
4
2
⋊C
3
→
C
2
⊆ Aut
C
5
80
6
C5:(C4^2:C6)
480,263
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◁