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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
and Q=
C
5
xDic
12
Direct product G=NxQ with N=
C
2
and Q=
C
5
xDic
12
d
ρ
Label
ID
C
10
xDic
12
480
C10xDic12
480,784
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
xDic
12
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
5
xDic
12
) =
C
5
xC
2
.Dic
12
central extension (φ=1)
480
C2.1(C5xDic12)
480,135
C
2
.
2
(C
5
xDic
12
) =
C
5
xC
24
:
1
C
4
central extension (φ=1)
480
C2.2(C5xDic12)
480,137
x
:
Z
F
o
wr
Q
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