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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=
A
4
and Q=
Dic
6
Direct product G=N×Q with N=
A
4
and Q=
Dic
6
d
ρ
Label
ID
A
4
×Dic
6
72
6-
A4xDic6
288,918
Semidirect products G=N:Q with N=
A
4
and Q=
Dic
6
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊
1
Dic
6
=
Dic
3
.S
4
φ:
Dic
6
/
Dic
3
→
C
2
⊆ Out
A
4
72
6-
A4:1Dic6
288,852
A
4
⋊
2
Dic
6
=
A
4
⋊Dic
6
φ:
Dic
6
/
C
12
→
C
2
⊆ Out
A
4
72
6-
A4:2Dic6
288,907
×
⋊
ℤ
𝔽
○
≀
ℚ
◁