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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
2
4
and Q=
C
5
2
Direct product G=N×Q with N=
C
2
4
and Q=
C
5
2
d
ρ
Label
ID
C
2
2
×C
10
2
400
C2^2xC10^2
400,221
Semidirect products G=N:Q with N=
C
2
4
and Q=
C
5
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
4
⋊C
5
2
=
C
5
×C
2
4
⋊C
5
φ:
C
5
2
/
C
5
→
C
5
⊆ Aut
C
2
4
50
5
C2^4:C5^2
400,213
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≀
ℚ
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