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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
xF
5
and Q=
C
2
2
Direct product G=NxQ with N=
C
5
xF
5
and Q=
C
2
2
d
ρ
Label
ID
F
5
xC
2
xC
10
80
F5xC2xC10
400,214
Semidirect products G=N:Q with N=
C
5
xF
5
and Q=
C
2
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xF
5
):C
2
2
=
C
2
xD
5
xF
5
φ:
C
2
2
/
C
2
→
C
2
⊆ Out
C
5
xF
5
40
8+
(C5xF5):C2^2
400,209
x
:
Z
F
o
wr
Q
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