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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
2
×C
20
Direct product G=N×Q with N=
C
3
and Q=
C
2
×C
20
d
ρ
Label
ID
C
2
×C
60
120
C2xC60
120,31
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
×C
20
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
2
×C
20
) =
S
3
×C
20
φ:
C
2
×C
20
/
C
20
→
C
2
⊆ Aut
C
3
60
2
C3:1(C2xC20)
120,22
C
3
⋊
2
(C
2
×C
20
) =
C
10
×Dic
3
φ:
C
2
×C
20
/
C
2
×C
10
→
C
2
⊆ Aut
C
3
120
C3:2(C2xC20)
120,24
×
⋊
ℤ
𝔽
○
≀
ℚ
◁