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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
2
3
×C
4
and Q=
C
3
2
Direct product G=N×Q with N=
C
2
3
×C
4
and Q=
C
3
2
d
ρ
Label
ID
C
2
2
×C
6
×C
12
288
C2^2xC6xC12
288,1018
Semidirect products G=N:Q with N=
C
2
3
×C
4
and Q=
C
3
2
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
3
×C
4
)⋊C
3
2
=
A
4
×C
2
×C
12
φ:
C
3
2
/
C
3
→
C
3
⊆ Aut
C
2
3
×C
4
72
(C2^3xC4):C3^2
288,979
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𝔽
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≀
ℚ
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