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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
3
xC
30
Direct product G=NxQ with N=
C
2
2
and Q=
C
3
xC
30
d
ρ
Label
ID
C
2
xC
6
xC
30
360
C2xC6xC30
360,162
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
3
xC
30
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
:(C
3
xC
30
) =
A
4
xC
30
φ:
C
3
xC
30
/
C
30
→
C
3
⊆ Aut
C
2
2
90
3
C2^2:(C3xC30)
360,156
C
2
2
:
2
(C
3
xC
30
) =
D
4
xC
3
xC
15
φ:
C
3
xC
30
/
C
3
xC
15
→
C
2
⊆ Aut
C
2
2
180
C2^2:2(C3xC30)
360,116
x
:
Z
F
o
wr
Q
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