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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
3
and Q=
D
15
Direct product G=NxQ with N=
C
3
and Q=
D
15
d
ρ
Label
ID
C
3
xD
15
30
2
C3xD15
90,7
Semidirect products G=N:Q with N=
C
3
and Q=
D
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:D
15
=
C
3
:D
15
φ:
D
15
/
C
15
→
C
2
⊆ Aut
C
3
45
C3:D15
90,9
Non-split extensions G=N.Q with N=
C
3
and Q=
D
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.D
15
=
D
45
φ:
D
15
/
C
15
→
C
2
⊆ Aut
C
3
45
2+
C3.D15
90,3
x
:
Z
F
o
wr
Q
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