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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
×A
4
Direct product G=N×Q with N=
C
3
and Q=
C
4
×A
4
d
ρ
Label
ID
C
12
×A
4
36
3
C12xA4
144,155
Semidirect products G=N:Q with N=
C
3
and Q=
C
4
×A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
4
×A
4
) =
Dic
3
×A
4
φ:
C
4
×A
4
/
C
2
×A
4
→
C
2
⊆ Aut
C
3
36
6-
C3:(C4xA4)
144,129
Non-split extensions G=N.Q with N=
C
3
and Q=
C
4
×A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(C
4
×A
4
) =
C
4
×C
3
.A
4
central extension (φ=1)
36
3
C3.(C4xA4)
144,34
×
⋊
ℤ
𝔽
○
≀
ℚ
◁