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Linear
C
n
D
n
S
n
A
n
...
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About
degree
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
5
and Q=
Q
8
×A
4
Direct product G=N×Q with N=
C
5
and Q=
Q
8
×A
4
d
ρ
Label
ID
C
5
×Q
8
×A
4
120
6
C5xQ8xA4
480,1129
Semidirect products G=N:Q with N=
C
5
and Q=
Q
8
×A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(Q
8
×A
4
) =
A
4
×Dic
10
φ:
Q
8
×A
4
/
C
4
×A
4
→
C
2
⊆ Aut
C
5
120
6-
C5:(Q8xA4)
480,1035
×
⋊
ℤ
𝔽
○
≀