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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
×S
4
and Q=
C
4
Direct product G=N×Q with N=
C
3
×S
4
and Q=
C
4
d
ρ
Label
ID
C
12
×S
4
36
3
C12xS4
288,897
Semidirect products G=N:Q with N=
C
3
×S
4
and Q=
C
4
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×S
4
)⋊C
4
=
Dic
3
×S
4
φ:
C
4
/
C
2
→
C
2
⊆ Out
C
3
×S
4
36
6-
(C3xS4):C4
288,853
×
⋊
ℤ
𝔽
○
≀
ℚ
◁