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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
8
and Q=
A
4
Direct product G=N×Q with N=
C
2
×C
8
and Q=
A
4
d
ρ
Label
ID
A
4
×C
2
×C
8
48
A4xC2xC8
192,1010
Non-split extensions G=N.Q with N=
C
2
×C
8
and Q=
A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
×C
8
).
1
A
4
=
C
8
×SL
2
(𝔽
3
)
central extension (φ=1)
64
(C2xC8).1A4
192,200
(C
2
×C
8
).
2
A
4
=
C
2
×C
8
.A
4
central extension (φ=1)
64
(C2xC8).2A4
192,1012
×
⋊
ℤ
𝔽
○
≀
ℚ
◁