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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
2
Direct product G=N×Q with N=
C
5
and Q=
C
8
2
d
ρ
Label
ID
C
8
×C
40
320
C8xC40
320,126
Semidirect products G=N:Q with N=
C
5
and Q=
C
8
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊C
8
2
=
C
8
×C
5
⋊C
8
φ:
C
8
2
/
C
2
×C
8
→
C
4
⊆ Aut
C
5
320
C5:C8^2
320,216
C
5
⋊
2
C
8
2
=
C
8
×C
5
⋊
2
C
8
φ:
C
8
2
/
C
4
×C
8
→
C
2
⊆ Aut
C
5
320
C5:2C8^2
320,11
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○
≀
ℚ
◁