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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
2
and Q=
He
3
Direct product G=N×Q with N=
C
4
2
and Q=
He
3
d
ρ
Label
ID
C
4
2
×He
3
144
C4^2xHe3
432,201
Semidirect products G=N:Q with N=
C
4
2
and Q=
He
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
2
⋊He
3
=
C
4
2
⋊He
3
φ:
He
3
/
C
3
2
→
C
3
⊆ Aut
C
4
2
36
3
C4^2:He3
432,103
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⋊
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𝔽
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≀
ℚ
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