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About
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
2
4
and Q=
C
27
Direct product G=NxQ with N=
C
2
4
and Q=
C
27
d
ρ
Label
ID
C
2
3
xC
54
432
C2^3xC54
432,228
Semidirect products G=N:Q with N=
C
2
4
and Q=
C
27
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
4
:
1
C
27
=
C
2
2
xC
9
.A
4
φ:
C
27
/
C
9
→
C
3
⊆ Aut
C
2
4
108
C2^4:1C27
432,225
C
2
4
:
2
C
27
=
C
2
4
:C
27
φ:
C
27
/
C
9
→
C
3
⊆ Aut
C
2
4
108
C2^4:2C27
432,226
x
:
Z
F
o
wr
Q
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