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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
4
and Q=
C
2
2
:A
4
Direct product G=NxQ with N=
C
4
and Q=
C
2
2
:A
4
d
ρ
Label
ID
C
4
xC
2
2
:A
4
24
C4xC2^2:A4
192,1505
Non-split extensions G=N.Q with N=
C
4
and Q=
C
2
2
:A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.
1
(C
2
2
:A
4
) =
C
4
oD
4
:A
4
central extension (φ=1)
24
6
C4.1(C2^2:A4)
192,1507
C
4
.
2
(C
2
2
:A
4
) =
2
+
1+4
.
3
C
6
central extension (φ=1)
16
4
C4.2(C2^2:A4)
192,1509
x
:
Z
F
o
wr
Q
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