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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
and Q=
C
5
xC
15
Direct product G=NxQ with N=
C
5
and Q=
C
5
xC
15
d
ρ
Label
ID
C
5
2
xC
15
375
C5^2xC15
375,7
Non-split extensions G=N.Q with N=
C
5
and Q=
C
5
xC
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
.
1
(C
5
xC
15
) =
C
3
xHe
5
central stem extension (φ=1)
75
5
C5.1(C5xC15)
375,4
C
5
.
2
(C
5
xC
15
) =
C
3
x5
-
1+2
central stem extension (φ=1)
75
5
C5.2(C5xC15)
375,5
x
:
Z
F
o
wr
Q
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