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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
2
×Dic
5
and Q=
A
4
Direct product G=N×Q with N=
C
2
×Dic
5
and Q=
A
4
d
ρ
Label
ID
C
2
×A
4
×Dic
5
120
C2xA4xDic5
480,1044
Non-split extensions G=N.Q with N=
C
2
×Dic
5
and Q=
A
4
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
×Dic
5
).
1
A
4
=
Dic
5
×SL
2
(𝔽
3
)
φ: trivial image
160
(C2xDic5).1A4
480,266
(C
2
×Dic
5
).
2
A
4
=
C
2
×Dic
5
.A
4
φ: trivial image
160
(C2xDic5).2A4
480,1038
×
⋊
ℤ
𝔽
○
≀
ℚ
◁