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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
xC
6
and Q=
C
15
Direct product G=NxQ with N=
C
2
xC
6
and Q=
C
15
d
ρ
Label
ID
C
6
xC
30
180
C6xC30
180,37
Semidirect products G=N:Q with N=
C
2
xC
6
and Q=
C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
xC
6
):C
15
=
A
4
xC
15
φ:
C
15
/
C
5
→
C
3
⊆ Aut
C
2
xC
6
60
3
(C2xC6):C15
180,31
Non-split extensions G=N.Q with N=
C
2
xC
6
and Q=
C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
xC
6
).C
15
=
C
5
xC
3
.A
4
φ:
C
15
/
C
5
→
C
3
⊆ Aut
C
2
xC
6
90
3
(C2xC6).C15
180,8
x
:
Z
F
o
wr
Q
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