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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=
He
3
⋊C
4
Direct product G=N×Q with N=
C
3
and Q=
He
3
⋊C
4
d
ρ
Label
ID
C
3
×He
3
⋊C
4
54
C3xHe3:C4
324,110
Semidirect products G=N:Q with N=
C
3
and Q=
He
3
⋊C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(He
3
⋊C
4
) =
He
3
⋊
4
Dic
3
φ:
He
3
⋊C
4
/
He
3
⋊C
2
→
C
2
⊆ Aut
C
3
18
6
C3:(He3:C4)
324,113
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⋊
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○
≀
ℚ
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