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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
3
.A
4
Direct product G=N×Q with N=
C
3
and Q=
C
3
.A
4
d
ρ
Label
ID
C
3
×C
3
.A
4
54
C3xC3.A4
108,20
Non-split extensions G=N.Q with N=
C
3
and Q=
C
3
.A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(C
3
.A
4
) =
C
9
.A
4
central extension (φ=1)
54
3
C3.(C3.A4)
108,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁