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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
5
xC
15
and Q=
C
3
Direct product G=NxQ with N=
C
5
xC
15
and Q=
C
3
d
ρ
Label
ID
C
15
2
225
C15^2
225,6
Semidirect products G=N:Q with N=
C
5
xC
15
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
5
xC
15
):C
3
=
C
3
xC
5
2
:C
3
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
5
xC
15
45
3
(C5xC15):C3
225,5
Non-split extensions G=N.Q with N=
C
5
xC
15
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
5
xC
15
).C
3
=
C
5
2
:C
9
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
5
xC
15
45
3
(C5xC15).C3
225,3
x
:
Z
F
o
wr
Q
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