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About
C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr
Extensions
1→N→G→Q→1 with N=
A
4
and Q=
C
2
2
xD
5
Direct product G=NxQ with N=
A
4
and Q=
C
2
2
xD
5
d
ρ
Label
ID
C
2
2
xD
5
xA
4
60
C2^2xD5xA4
480,1202
Semidirect products G=N:Q with N=
A
4
and Q=
C
2
2
xD
5
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
:
1
(C
2
2
xD
5
) =
C
2
xD
5
xS
4
φ:
C
2
2
xD
5
/
D
10
→
C
2
⊆ Out
A
4
30
6+
A4:1(C2^2xD5)
480,1193
A
4
:
2
(C
2
2
xD
5
) =
C
2
2
xC
5
:S
4
φ:
C
2
2
xD
5
/
C
2
xC
10
→
C
2
⊆ Out
A
4
60
A4:2(C2^2xD5)
480,1199
x
:
Z
F
o
wr
Q
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