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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
×D
5
Direct product G=N×Q with N=
A
4
and Q=
C
2
2
×D
5
d
ρ
Label
ID
C
2
2
×D
5
×A
4
60
C2^2xD5xA4
480,1202
Semidirect products G=N:Q with N=
A
4
and Q=
C
2
2
×D
5
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊
1
(C
2
2
×D
5
) =
C
2
×D
5
×S
4
φ:
C
2
2
×D
5
/
D
10
→
C
2
⊆ Out
A
4
30
6+
A4:1(C2^2xD5)
480,1193
A
4
⋊
2
(C
2
2
×D
5
) =
C
2
2
×C
5
⋊S
4
φ:
C
2
2
×D
5
/
C
2
×C
10
→
C
2
⊆ Out
A
4
60
A4:2(C2^2xD5)
480,1199
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ℚ
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