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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=
C
2
×Dic
3
Direct product G=N×Q with N=
A
4
and Q=
C
2
×Dic
3
d
ρ
Label
ID
C
2
×Dic
3
×A
4
72
C2xDic3xA4
288,927
Semidirect products G=N:Q with N=
A
4
and Q=
C
2
×Dic
3
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊
1
(C
2
×Dic
3
) =
Dic
3
×S
4
φ:
C
2
×Dic
3
/
Dic
3
→
C
2
⊆ Out
A
4
36
6-
A4:1(C2xDic3)
288,853
A
4
⋊
2
(C
2
×Dic
3
) =
C
2
×C
6
.
7
S
4
φ:
C
2
×Dic
3
/
C
2
×C
6
→
C
2
⊆ Out
A
4
72
A4:2(C2xDic3)
288,916
×
⋊
ℤ
𝔽
○
≀
ℚ
◁