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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
10
and Q=
C
10
Direct product G=N×Q with N=
C
10
and Q=
C
10
d
ρ
Label
ID
C
10
2
100
C10^2
100,16
Semidirect products G=N:Q with N=
C
10
and Q=
C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
⋊C
10
=
D
5
×C
10
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
10
20
2
C10:C10
100,14
Non-split extensions G=N.Q with N=
C
10
and Q=
C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
.C
10
=
C
5
×Dic
5
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
10
20
2
C10.C10
100,6
×
⋊
ℤ
𝔽
○
≀
ℚ
◁