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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
.A
4
and Q=
Dic
3
Direct product G=N×Q with N=
C
3
.A
4
and Q=
Dic
3
d
ρ
Label
ID
Dic
3
×C
3
.A
4
36
6
Dic3xC3.A4
432,271
Semidirect products G=N:Q with N=
C
3
.A
4
and Q=
Dic
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
.A
4
⋊
1
Dic
3
=
A
4
⋊Dic
9
φ:
Dic
3
/
C
6
→
C
2
⊆ Out
C
3
.A
4
108
6-
C3.A4:1Dic3
432,254
C
3
.A
4
⋊
2
Dic
3
=
C
6
2
.
10
Dic
3
φ:
Dic
3
/
C
6
→
C
2
⊆ Out
C
3
.A
4
108
C3.A4:2Dic3
432,259
×
⋊
ℤ
𝔽
○
≀
ℚ
◁