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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
5
⋊D
4
and Q=
A
4
Direct product G=N×Q with N=
C
5
⋊D
4
and Q=
A
4
d
ρ
Label
ID
A
4
×C
5
⋊D
4
60
6
A4xC5:D4
480,1045
Non-split extensions G=N.Q with N=
C
5
⋊D
4
and Q=
A
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
5
⋊D
4
.A
4
=
SL
2
(𝔽
3
).
11
D
10
φ: trivial image
80
4
C5:D4.A4
480,1040
×
⋊
ℤ
𝔽
○
≀
ℚ
◁