A198147 Numbers k for which there are non-isomorphic groups of order k whose core quandles are isomorphic.

27, 32, 54, 64, 81, 96, 100, 108, 125, 128, 135, 147, 160, 162, 189, 192, 200, 216, 224, 243, 250, 260, 270, 273, 288, 294, 297, 300, 320, 324, 340, 343, 351, 352, 375, 378, 399, 400, 405, 416, 432, 441, 448, 459, 480, 486, 500, 507, 513, 520, 540, 546, 567, 580, 588

Offset: 1

Author

James McCarron, Dec 21 2012

Keywords

• nonn
• hard

Comments

This is a subsequence of sequence A118642.

Links

• David Joyce, A classifying invariant of knots, the knot quandle, J. Pure Appl. Algebra 23 (1982) 37-65.
• Wikipedia, Quandles