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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=
D
4
and Q=
C
5
×A
4
Direct product G=N×Q with N=
D
4
and Q=
C
5
×A
4
d
ρ
Label
ID
C
5
×D
4
×A
4
60
6
C5xD4xA4
480,1127
Non-split extensions G=N.Q with N=
D
4
and Q=
C
5
×A
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
4
.(C
5
×A
4
) =
C
5
×D
4
.A
4
φ: trivial image
80
4
D4.(C5xA4)
480,1132
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ℚ
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