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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
3
.A
4
and Q=
C
10
Direct product G=N×Q with N=
C
3
.A
4
and Q=
C
10
d
ρ
Label
ID
C
10
×C
3
.A
4
90
3
C10xC3.A4
360,46
Semidirect products G=N:Q with N=
C
3
.A
4
and Q=
C
10
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
.A
4
⋊C
10
=
C
5
×C
3
.S
4
φ:
C
10
/
C
5
→
C
2
⊆ Out
C
3
.A
4
90
6
C3.A4:C10
360,40
×
⋊
ℤ
𝔽
○
≀
ℚ
◁