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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
4
and Q=
A
4
Direct product G=NxQ with N=
C
4
and Q=
A
4
d
ρ
Label
ID
C
4
xA
4
12
3
C4xA4
48,31
Non-split extensions G=N.Q with N=
C
4
and Q=
A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.A
4
=
C
4
.A
4
central extension (φ=1)
16
2
C4.A4
48,33
x
:
Z
F
o
wr
Q
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