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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
2
3
×C
10
and Q=
C
3
Direct product G=N×Q with N=
C
2
3
×C
10
and Q=
C
3
d
ρ
Label
ID
C
2
3
×C
30
240
C2^3xC30
240,208
Semidirect products G=N:Q with N=
C
2
3
×C
10
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
3
×C
10
)⋊
1
C
3
=
A
4
×C
2
×C
10
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
2
3
×C
10
60
(C2^3xC10):1C3
240,203
(C
2
3
×C
10
)⋊
2
C
3
=
C
5
×C
2
2
⋊A
4
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
2
3
×C
10
60
(C2^3xC10):2C3
240,204
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⋊
ℤ
𝔽
○
≀
ℚ
◁