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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=
D
5
and Q=
C
2
xS
4
Direct product G=NxQ with N=
D
5
and Q=
C
2
xS
4
d
ρ
Label
ID
C
2
xD
5
xS
4
30
6+
C2xD5xS4
480,1193
Non-split extensions G=N.Q with N=
D
5
and Q=
C
2
xS
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
(C
2
xS
4
) =
F
5
xS
4
φ:
C
2
xS
4
/
S
4
→
C
2
⊆ Out
D
5
20
12+
D5.1(C2xS4)
480,1189
D
5
.
2
(C
2
xS
4
) =
C
2
xA
4
:F
5
φ:
C
2
xS
4
/
C
2
xA
4
→
C
2
⊆ Out
D
5
30
12+
D5.2(C2xS4)
480,1191
x
:
Z
F
o
wr
Q
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