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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
and Q=
He
3
Direct product G=N×Q with N=
C
2
3
and Q=
He
3
d
ρ
Label
ID
C
2
3
×He
3
72
C2^3xHe3
216,115
Semidirect products G=N:Q with N=
C
2
3
and Q=
He
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
3
⋊He
3
=
C
2
×C
3
2
⋊A
4
φ:
He
3
/
C
3
2
→
C
3
⊆ Aut
C
2
3
18
3
C2^3:He3
216,107
×
⋊
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𝔽
○
≀
ℚ
◁