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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
2
and Q=
C
2
Direct product G=N×Q with N=
C
5
2
and Q=
C
2
d
ρ
Label
ID
C
5
×C
10
50
C5xC10
50,5
Semidirect products G=N:Q with N=
C
5
2
and Q=
C
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
2
⋊
1
C
2
=
C
5
×D
5
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
5
2
10
2
C5^2:1C2
50,3
C
5
2
⋊
2
C
2
=
C
5
⋊D
5
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
5
2
25
C5^2:2C2
50,4
×
⋊
ℤ
𝔽
○
≀
ℚ
◁