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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=
C
16
Direct product G=N×Q with N=
A
4
and Q=
C
16
d
ρ
Label
ID
A
4
×C
16
48
3
A4xC16
192,203
Semidirect products G=N:Q with N=
A
4
and Q=
C
16
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊C
16
=
A
4
⋊C
16
φ:
C
16
/
C
8
→
C
2
⊆ Out
A
4
48
3
A4:C16
192,186
×
⋊
ℤ
𝔽
○
≀
ℚ
◁