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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
6
and Q=
C
80
Direct product G=N×Q with N=
C
6
and Q=
C
80
d
ρ
Label
ID
C
2
×C
240
480
C2xC240
480,212
Semidirect products G=N:Q with N=
C
6
and Q=
C
80
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
⋊C
80
=
C
10
×C
3
⋊C
16
φ:
C
80
/
C
40
→
C
2
⊆ Aut
C
6
480
C6:C80
480,130
Non-split extensions G=N.Q with N=
C
6
and Q=
C
80
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
.C
80
=
C
5
×C
3
⋊C
32
φ:
C
80
/
C
40
→
C
2
⊆ Aut
C
6
480
2
C6.C80
480,1
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◁