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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=
C
3
xC
15
Direct product G=NxQ with N=
C
3
and Q=
C
3
xC
15
d
ρ
Label
ID
C
3
2
xC
15
135
C3^2xC15
135,5
Non-split extensions G=N.Q with N=
C
3
and Q=
C
3
xC
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.
1
(C
3
xC
15
) =
C
5
xHe
3
central stem extension (φ=1)
45
3
C3.1(C3xC15)
135,3
C
3
.
2
(C
3
xC
15
) =
C
5
x3
-
1+2
central stem extension (φ=1)
45
3
C3.2(C3xC15)
135,4
x
:
Z
F
o
wr
Q
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