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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
⋊A
4
Direct product G=N×Q with N=
C
3
and Q=
C
2
3
⋊A
4
d
ρ
Label
ID
C
3
×C
2
3
⋊A
4
24
4
C3xC2^3:A4
288,987
Non-split extensions G=N.Q with N=
C
3
and Q=
C
2
3
⋊A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(C
2
3
⋊A
4
) =
2
+
1+4
⋊
2
C
9
central extension (φ=1)
72
4
C3.(C2^3:A4)
288,351
×
⋊
ℤ
𝔽
○
≀
ℚ
◁