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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
and Q=
C
5
×A
4
Direct product G=N×Q with N=
C
2
and Q=
C
5
×A
4
d
ρ
Label
ID
C
10
×A
4
30
3
C10xA4
120,43
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
×A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
5
×A
4
) =
C
5
×SL
2
(𝔽
3
)
central stem extension (φ=1)
40
2
C2.(C5xA4)
120,15
×
⋊
ℤ
𝔽
○
≀
ℚ
◁