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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
4
and Q=
C
3
2
⋊A
4
Direct product G=N×Q with N=
C
4
and Q=
C
3
2
⋊A
4
d
ρ
Label
ID
C
4
×C
3
2
⋊A
4
36
3
C4xC3^2:A4
432,333
Non-split extensions G=N.Q with N=
C
4
and Q=
C
3
2
⋊A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.(C
3
2
⋊A
4
) =
C
4
○D
4
⋊He
3
central extension (φ=1)
72
6
C4.(C3^2:A4)
432,339
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⋊
ℤ
𝔽
○
≀
ℚ
◁