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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
8
and Q=
C
3
.A
4
Direct product G=N×Q with N=
C
8
and Q=
C
3
.A
4
d
ρ
Label
ID
C
8
×C
3
.A
4
72
3
C8xC3.A4
288,76
Non-split extensions G=N.Q with N=
C
8
and Q=
C
3
.A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
8
.(C
3
.A
4
) =
Q
8
.C
36
central extension (φ=1)
144
2
C8.(C3.A4)
288,77
×
⋊
ℤ
𝔽
○
≀
ℚ
◁