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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
and Q=
C
2
3
.
3
A
4
Direct product G=N×Q with N=
C
3
and Q=
C
2
3
.
3
A
4
d
ρ
Label
ID
C
3
×C
2
3
.
3
A
4
36
6
C3xC2^3.3A4
288,230
Non-split extensions G=N.Q with N=
C
3
and Q=
C
2
3
.
3
A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(C
2
3
.
3
A
4
) =
C
2
.(C
4
2
⋊C
9
)
central extension (φ=1)
36
6
C3.(C2^3.3A4)
288,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁