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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
×C
4
and Q=
A
5
Direct product G=N×Q with N=
C
2
×C
4
and Q=
A
5
d
ρ
Label
ID
C
2
×C
4
×A
5
40
C2xC4xA5
480,954
Non-split extensions G=N.Q with N=
C
2
×C
4
and Q=
A
5
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
×C
4
).
1
A
5
=
C
4
×SL
2
(𝔽
5
)
central extension (φ=1)
96
(C2xC4).1A5
480,222
(C
2
×C
4
).
2
A
5
=
C
2
×C
4
.A
5
central extension (φ=1)
48
(C2xC4).2A5
480,955
×
⋊
ℤ
𝔽
○
≀
ℚ
◁