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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
10
and Q=
C
3
.A
4
Direct product G=N×Q with N=
C
10
and Q=
C
3
.A
4
d
ρ
Label
ID
C
10
×C
3
.A
4
90
3
C10xC3.A4
360,46
Non-split extensions G=N.Q with N=
C
10
and Q=
C
3
.A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
.(C
3
.A
4
) =
C
5
×Q
8
⋊C
9
central extension (φ=1)
360
2
C10.(C3.A4)
360,14
×
⋊
ℤ
𝔽
○
≀
ℚ
◁