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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
2
xC
10
and Q=
C
3
2
Direct product G=NxQ with N=
C
2
2
xC
10
and Q=
C
3
2
d
ρ
Label
ID
C
2
xC
6
xC
30
360
C2xC6xC30
360,162
Semidirect products G=N:Q with N=
C
2
2
xC
10
and Q=
C
3
2
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
2
xC
10
):C
3
2
=
A
4
xC
30
φ:
C
3
2
/
C
3
→
C
3
⊆ Aut
C
2
2
xC
10
90
3
(C2^2xC10):C3^2
360,156
x
:
Z
F
o
wr
Q
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