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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
2
xC
4
and Q=
C
5
xA
4
Direct product G=NxQ with N=
C
2
xC
4
and Q=
C
5
xA
4
d
ρ
Label
ID
A
4
xC
2
xC
20
120
A4xC2xC20
480,1126
Non-split extensions G=N.Q with N=
C
2
xC
4
and Q=
C
5
xA
4
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
xC
4
).
1
(C
5
xA
4
) =
C
20
xSL
2
(
F
3
)
central extension (φ=1)
160
(C2xC4).1(C5xA4)
480,655
(C
2
xC
4
).
2
(C
5
xA
4
) =
C
10
xC
4
.A
4
central extension (φ=1)
160
(C2xC4).2(C5xA4)
480,1130
x
:
Z
F
o
wr
Q
<