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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
10
Direct product G=N×Q with N=
C
4
and Q=
C
10
d
ρ
Label
ID
C
2
×C
20
40
C2xC20
40,9
Semidirect products G=N:Q with N=
C
4
and Q=
C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
⋊C
10
=
C
5
×D
4
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
4
20
2
C4:C10
40,10
Non-split extensions G=N.Q with N=
C
4
and Q=
C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
10
=
C
5
×Q
8
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
4
40
2
C4.C10
40,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁