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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
6
Direct product G=N×Q with N=
C
10
and Q=
C
6
d
ρ
Label
ID
C
2
×C
30
60
C2xC30
60,13
Semidirect products G=N:Q with N=
C
10
and Q=
C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
⋊C
6
=
C
6
×D
5
φ:
C
6
/
C
3
→
C
2
⊆ Aut
C
10
30
2
C10:C6
60,10
Non-split extensions G=N.Q with N=
C
10
and Q=
C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
.C
6
=
C
3
×Dic
5
φ:
C
6
/
C
3
→
C
2
⊆ Aut
C
10
60
2
C10.C6
60,2
×
⋊
ℤ
𝔽
○
≀
ℚ
◁