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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
3
⋊C
2
Direct product G=N×Q with N=
C
2
and Q=
C
5
3
⋊C
2
d
ρ
Label
ID
C
2
×C
5
3
⋊C
2
250
C2xC5^3:C2
500,55
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
3
⋊C
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
5
3
⋊C
2
) =
C
5
3
⋊
12
C
4
central extension (φ=1)
500
C2.(C5^3:C2)
500,39
×
⋊
ℤ
𝔽
○
≀
ℚ
◁