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About
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=
S
5
Direct product G=N×Q with N=
C
3
and Q=
S
5
d
ρ
Label
ID
C
3
×S
5
15
4
C3xS5
360,119
Semidirect products G=N:Q with N=
C
3
and Q=
S
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊S
5
=
ΓL
2
(𝔽
4
)
φ:
S
5
/
A
5
→
C
2
⊆ Aut
C
3
15
6
C3:S5
360,120
×
⋊
ℤ
𝔽
○
≀
ℚ
◁