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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
3
and Q=
C
4
×C
12
Direct product G=N×Q with N=
C
3
and Q=
C
4
×C
12
d
ρ
Label
ID
C
12
2
144
C12^2
144,101
Semidirect products G=N:Q with N=
C
3
and Q=
C
4
×C
12
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
4
×C
12
) =
Dic
3
×C
12
φ:
C
4
×C
12
/
C
2
×C
12
→
C
2
⊆ Aut
C
3
48
C3:(C4xC12)
144,76
×
⋊
ℤ
𝔽
○
≀
ℚ
◁