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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
10
Direct product G=N×Q with N=
C
6
and Q=
C
10
d
ρ
Label
ID
C
2
×C
30
60
C2xC30
60,13
Semidirect products G=N:Q with N=
C
6
and Q=
C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
⋊C
10
=
S
3
×C
10
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
6
30
2
C6:C10
60,11
Non-split extensions G=N.Q with N=
C
6
and Q=
C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
.C
10
=
C
5
×Dic
3
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
6
60
2
C6.C10
60,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁