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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
.
2
C
6
Direct product G=N×Q with N=
C
2
and Q=
He
3
.
2
C
6
d
ρ
Label
ID
C
2
×He
3
.
2
C
6
54
3
C2xHe3.2C6
324,72
Non-split extensions G=N.Q with N=
C
2
and Q=
He
3
.
2
C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(He
3
.
2
C
6
) =
He
3
.
2
C
12
central extension (φ=1)
108
3
C2.(He3.2C6)
324,17
×
⋊
ℤ
𝔽
○
≀
ℚ
◁