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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr
Extensions
1→N→G→Q→1 with N=
C
5
and Q=
C
2
3
.A
4
Direct product G=NxQ with N=
C
5
and Q=
C
2
3
.A
4
d
ρ
Label
ID
C
5
xC
2
3
.A
4
60
6
C5xC2^3.A4
480,658
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
3
.A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:(C
2
3
.A
4
) =
C
20
:
4
D
4
:C
3
φ:
C
2
3
.A
4
/
C
4
2
:C
3
→
C
2
⊆ Aut
C
5
60
6+
C5:(C2^3.A4)
480,262
x
:
Z
F
o
wr
Q
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