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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
and Q=
He
3
⋊C
8
Direct product G=N×Q with N=
C
2
and Q=
He
3
⋊C
8
d
ρ
Label
ID
C
2
×He
3
⋊C
8
54
6+
C2xHe3:C8
432,529
Non-split extensions G=N.Q with N=
C
2
and Q=
He
3
⋊C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(He
3
⋊C
8
) =
He
3
⋊C
16
central extension (φ=1)
144
6
C2.(He3:C8)
432,233
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≀
ℚ
◁