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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=
SL
2
(𝔽
3
)
Direct product G=N×Q with N=
C
3
×S
3
and Q=
SL
2
(𝔽
3
)
d
ρ
Label
ID
C
3
×S
3
×SL
2
(𝔽
3
)
48
4
C3xS3xSL(2,3)
432,623
Non-split extensions G=N.Q with N=
C
3
×S
3
and Q=
SL
2
(𝔽
3
)
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×S
3
).SL
2
(𝔽
3
) =
S
3
×Q
8
⋊C
9
φ: trivial image
144
4
(C3xS3).SL(2,3)
432,268
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