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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
5
and Q=
C
8
×A
4
Direct product G=N×Q with N=
C
5
and Q=
C
8
×A
4
d
ρ
Label
ID
A
4
×C
40
120
3
A4xC40
480,659
Semidirect products G=N:Q with N=
C
5
and Q=
C
8
×A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
8
×A
4
) =
A
4
×C
5
⋊C
8
φ:
C
8
×A
4
/
C
2
×A
4
→
C
4
⊆ Aut
C
5
120
12-
C5:(C8xA4)
480,966
C
5
⋊
2
(C
8
×A
4
) =
A
4
×C
5
⋊
2
C
8
φ:
C
8
×A
4
/
C
4
×A
4
→
C
2
⊆ Aut
C
5
120
6
C5:2(C8xA4)
480,265
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⋊
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○
≀
ℚ
◁