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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=
S
3
×C
6
Direct product G=N×Q with N=
A
4
and Q=
S
3
×C
6
d
ρ
Label
ID
S
3
×C
6
×A
4
36
6
S3xC6xA4
432,763
Semidirect products G=N:Q with N=
A
4
and Q=
S
3
×C
6
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊
1
(S
3
×C
6
) =
C
3
×S
3
×S
4
φ:
S
3
×C
6
/
C
3
×S
3
→
C
2
⊆ Out
A
4
24
6
A4:1(S3xC6)
432,745
A
4
⋊
2
(S
3
×C
6
) =
C
6
×C
3
⋊S
4
φ:
S
3
×C
6
/
C
3
×C
6
→
C
2
⊆ Out
A
4
36
6
A4:2(S3xC6)
432,761
×
⋊
ℤ
𝔽
○
≀
ℚ
◁