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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=
D
12
Direct product G=N×Q with N=
C
5
and Q=
D
12
d
ρ
Label
ID
C
5
×D
12
60
2
C5xD12
120,23
Semidirect products G=N:Q with N=
C
5
and Q=
D
12
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊
1
D
12
=
D
60
φ:
D
12
/
C
12
→
C
2
⊆ Aut
C
5
60
2+
C5:1D12
120,28
C
5
⋊
2
D
12
=
C
5
⋊D
12
φ:
D
12
/
D
6
→
C
2
⊆ Aut
C
5
60
4+
C5:2D12
120,13
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⋊
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𝔽
○
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