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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
5
and Q=
C
2
.C
4
2
Direct product G=N×Q with N=
C
5
and Q=
C
2
.C
4
2
d
ρ
Label
ID
C
5
×C
2
.C
4
2
160
C5xC2.C4^2
160,45
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
.C
4
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
2
.C
4
2
) =
D
10
.
3
Q
8
φ:
C
2
.C
4
2
/
C
2
×C
4
→
C
4
⊆ Aut
C
5
40
C5:(C2.C4^2)
160,81
C
5
⋊
2
(C
2
.C
4
2
) =
C
10
.
10
C
4
2
φ:
C
2
.C
4
2
/
C
2
2
×C
4
→
C
2
⊆ Aut
C
5
160
C5:2(C2.C4^2)
160,38
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