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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
⋊S
3
and Q=
A
4
Direct product G=N×Q with N=
C
3
⋊S
3
and Q=
A
4
d
ρ
Label
ID
A
4
×C
3
⋊S
3
36
A4xC3:S3
216,167
Semidirect products G=N:Q with N=
C
3
⋊S
3
and Q=
A
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
⋊S
3
⋊A
4
=
C
6
2
⋊C
6
φ:
A
4
/
C
2
2
→
C
3
⊆ Out
C
3
⋊S
3
18
6+
C3:S3:A4
216,99
Non-split extensions G=N.Q with N=
C
3
⋊S
3
and Q=
A
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
⋊S
3
.A
4
=
ASL
2
(𝔽
3
)
φ:
A
4
/
C
1
→
A
4
⊆ Out
C
3
⋊S
3
9
8+
C3:S3.A4
216,153
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𝔽
○
≀
ℚ
◁