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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
and Q=
C
30
Direct product G=NxQ with N=
C
2
2
and Q=
C
30
d
ρ
Label
ID
C
2
2
xC
30
120
C2^2xC30
120,47
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
30
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
:C
30
=
C
10
xA
4
φ:
C
30
/
C
10
→
C
3
⊆ Aut
C
2
2
30
3
C2^2:C30
120,43
C
2
2
:
2
C
30
=
D
4
xC
15
φ:
C
30
/
C
15
→
C
2
⊆ Aut
C
2
2
60
2
C2^2:2C30
120,32
x
:
Z
F
o
wr
Q
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