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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
27
and Q=
D
8
Direct product G=NxQ with N=
C
27
and Q=
D
8
d
ρ
Label
ID
D
8
xC
27
216
2
D8xC27
432,25
Semidirect products G=N:Q with N=
C
27
and Q=
D
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
27
:
1
D
8
=
D
216
φ:
D
8
/
C
8
→
C
2
⊆ Aut
C
27
216
2+
C27:1D8
432,8
C
27
:
2
D
8
=
D
4
:D
27
φ:
D
8
/
D
4
→
C
2
⊆ Aut
C
27
216
4+
C27:2D8
432,16
x
:
Z
F
o
wr
Q
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