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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=
A
4
and Q=
C
2
2
×C
10
Direct product G=N×Q with N=
A
4
and Q=
C
2
2
×C
10
d
ρ
Label
ID
A
4
×C
2
2
×C
10
120
A4xC2^2xC10
480,1208
Semidirect products G=N:Q with N=
A
4
and Q=
C
2
2
×C
10
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊(C
2
2
×C
10
) =
C
2
×C
10
×S
4
φ:
C
2
2
×C
10
/
C
2
×C
10
→
C
2
⊆ Out
A
4
60
A4:(C2^2xC10)
480,1198
×
⋊
ℤ
𝔽
○
≀
ℚ
◁