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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
4
and Q=
C
40
Direct product G=N×Q with N=
C
4
and Q=
C
40
d
ρ
Label
ID
C
4
×C
40
160
C4xC40
160,46
Semidirect products G=N:Q with N=
C
4
and Q=
C
40
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
⋊C
40
=
C
5
×C
4
⋊C
8
φ:
C
40
/
C
20
→
C
2
⊆ Aut
C
4
160
C4:C40
160,55
Non-split extensions G=N.Q with N=
C
4
and Q=
C
40
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
40
=
C
5
×M
5
(2)
φ:
C
40
/
C
20
→
C
2
⊆ Aut
C
4
80
2
C4.C40
160,60
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