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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
3
and Q=
C
60
Direct product G=N×Q with N=
C
3
and Q=
C
60
d
ρ
Label
ID
C
3
×C
60
180
C3xC60
180,18
Semidirect products G=N:Q with N=
C
3
and Q=
C
60
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊C
60
=
Dic
3
×C
15
φ:
C
60
/
C
30
→
C
2
⊆ Aut
C
3
60
2
C3:C60
180,14
×
⋊
ℤ
𝔽
○
≀
ℚ
◁