A186307 -id:A186307 - cp's OEIS frontend

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A185176 a(n) = maximal number of different Galois groups with that same order for polynomials of degree n.

Original entry on oeis.org

1, 1, 2, 1, 3, 1, 8, 4, 5, 1, 30, 1, 5, 5, 260, 1, 43, 1, 57, 7, 4, 1, 1930, 8, 10, 99, 93, 1, 223, 1

Offset: 2

Artur Jasinski, Feb 19 2011

For prime p, a(p)=1.
For nonprime n, the most frequently seen orders are:
= 4,
= 24,
= 32,
= 54,
= 200,
= 192,
= 2688,
= 360,
= 256,
= 1296,
= {5120,40000},
= 30618,
= 2420,
= 1536,
= {500,2500,12500},
= 4056,
= 4374,
= 114688,
= 24000000

			a(4)=2 because for polynomials of degree 4, there are two different groups of order 4.
a(20)=57 because for polynomials of degree 20, there are 57 different groups of order 5120 and 57 different groups of order 40000.

Cf. A002106, A177244, A186277, A186306, A186307, A186308.

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