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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=
D
5
and Q=
C
12
Direct product G=N×Q with N=
D
5
and Q=
C
12
d
ρ
Label
ID
D
5
×C
12
60
2
D5xC12
120,17
Semidirect products G=N:Q with N=
D
5
and Q=
C
12
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
⋊C
12
=
C
6
×F
5
φ:
C
12
/
C
6
→
C
2
⊆ Out
D
5
30
4
D5:C12
120,40
×
⋊
ℤ
𝔽
○
≀
ℚ
◁