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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=
A
4
and Q=
C
6
Direct product G=N×Q with N=
A
4
and Q=
C
6
d
ρ
Label
ID
C
6
×A
4
18
3
C6xA4
72,47
Semidirect products G=N:Q with N=
A
4
and Q=
C
6
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊C
6
=
C
3
×S
4
φ:
C
6
/
C
3
→
C
2
⊆ Out
A
4
12
3
A4:C6
72,42
×
⋊
ℤ
𝔽
○
≀
ℚ
◁