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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=
A
4
and Q=
D
15
Direct product G=N×Q with N=
A
4
and Q=
D
15
d
ρ
Label
ID
A
4
×D
15
60
6+
A4xD15
360,144
Semidirect products G=N:Q with N=
A
4
and Q=
D
15
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊D
15
=
A
4
⋊D
15
φ:
D
15
/
C
15
→
C
2
⊆ Out
A
4
60
6+
A4:D15
360,141
×
⋊
ℤ
𝔽
○
≀
ℚ
◁