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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=
He
3
and Q=
C
2
Direct product G=N×Q with N=
He
3
and Q=
C
2
d
ρ
Label
ID
C
2
×He
3
18
3
C2xHe3
54,10
Semidirect products G=N:Q with N=
He
3
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
He
3
⋊
1
C
2
=
C
3
2
⋊C
6
φ:
C
2
/
C
1
→
C
2
⊆ Out
He
3
9
6+
He3:1C2
54,5
He
3
⋊
2
C
2
=
He
3
⋊C
2
φ:
C
2
/
C
1
→
C
2
⊆ Out
He
3
9
3
He3:2C2
54,8
×
⋊
ℤ
𝔽
○
≀
ℚ
◁