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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
⋊D
4
and Q=
C
2
Direct product G=N×Q with N=
He
3
⋊D
4
and Q=
C
2
d
ρ
Label
ID
C
2
×He
3
⋊D
4
36
6+
C2xHe3:D4
432,530
Non-split extensions G=N.Q with N=
He
3
⋊D
4
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
He
3
⋊D
4
.C
2
=
He
3
⋊SD
16
φ:
C
2
/
C
1
→
C
2
⊆ Out
He
3
⋊D
4
27
6+
He3:D4.C2
432,520
×
⋊
ℤ
𝔽
○
≀
ℚ
◁