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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
5
and Q=
C
5
Direct product G=N×Q with N=
C
2
5
and Q=
C
5
d
ρ
Label
ID
C
2
4
×C
10
160
C2^4xC10
160,238
Semidirect products G=N:Q with N=
C
2
5
and Q=
C
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
5
⋊C
5
=
C
2
×C
2
4
⋊C
5
φ:
C
5
/
C
1
→
C
5
⊆ Aut
C
2
5
10
5+
C2^5:C5
160,235
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⋊
ℤ
𝔽
○
≀
ℚ
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