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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=
D
4
Direct product G=N×Q with N=
C
3
and Q=
D
4
d
ρ
Label
ID
C
3
×D
4
12
2
C3xD4
24,10
Semidirect products G=N:Q with N=
C
3
and Q=
D
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
D
4
=
D
12
φ:
D
4
/
C
4
→
C
2
⊆ Aut
C
3
12
2+
C3:1D4
24,6
C
3
⋊
2
D
4
=
C
3
⋊D
4
φ:
D
4
/
C
2
2
→
C
2
⊆ Aut
C
3
12
2
C3:2D4
24,8
×
⋊
ℤ
𝔽
○
≀
ℚ
◁