Finite Group Databasebeta

← Group #265413

Character table — Group #265413

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444444888888816161616161616161616161616161616161632323232
order12222244224448824448882244444444448888884488
χ111111111111111111111111111111111111111111111
χ211111111111111111111111-11111111-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-11-1-1-1-1-1-1-1111111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111-1-1-1-11111111-1-11-1-11-1-1-1-111-1-111-1-1
χ6111111111111111-1-1-1-11111-111-1-11-1-1-111-1-1-1-111-1-111
χ7111111111111111-1-1-1-1111-11-1-111-1111-1-1-1-111-1-1-1-111
χ8111111111111111-1-1-1-1111-1-1-1-111-111-111-1-1-1-11111-1-1
χ91111111111111-1-11111-1-1-111-111-1-11-11-1-1-1-1-1-1111-11-1
χ101111111111111-1-11111-1-1-11-1-111-1-11-1-111-1-111-1-1-11-11
χ111111111111111-1-11111-1-1-1-111-1-111-111-1-1-1-1-1-111-11-11
χ121111111111111-1-11111-1-1-1-1-11-1-111-11-111-1-111-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1-111-11-11-1-1111111-1-1-1-11-1-11
χ141111111111111-1-1-1-1-1-1-1-1-11-1-11-11-1-11-1-1-1111111-111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-111-11-111-111111-1-1-1-1-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111111-1-11
χ1722222222-2-22-2-22200002-2-2202-200-2000000000000000
χ1822222222-2-22-2-22200002-2-2-20-22002000000000000000
χ1922222222-2-22-2-2-2-20000-22220-2-2002000000000000000
χ2022222222-2-22-2-2-2-20000-222-202200-2000000000000000
χ21222222-2-2-2-2-2220022-2-2000020000000-20000002-20000
χ22222222-2-2-2-2-2220022-2-20000-200000002000000-220000
χ23222222-2-2-2-2-22200-2-222000020000000-2000000-220000
χ24222222-2-2-2-2-22200-2-2220000-2000000020000002-20000
χ252222-2-2222-2-2-22220000-22-200002-20-220000000000000
χ262222-2-2222-2-2-22220000-22-20000-2202-20000000000000
χ272222-2-2222-2-2-22-2-200002-220000220-2-20000000000000
χ282222-2-2222-2-2-22-2-200002-220000-2-20220000000000000
χ292222-2-222-22-22-2222-2-22-2-220000000000002-200000000
χ302222-2-222-22-22-222-222-2-2-22000000000000-2200000000
χ312222-2-222-22-22-2-2-22-2-2222-2000000000000-2200000000
χ322222-2-222-22-22-2-2-2-222-222-20000000000002-200000000
χ332222-2-2-2-22-222-2002-22-200000000000002i−2i002i−2i000000
χ342222-2-2-2-22-222-2002-22-20000000000000−2i2i00−2i2i000000
χ352222-2-2-2-22-222-200-22-2200000000000002i−2i00−2i2i000000
χ362222-2-2-2-22-222-200-22-220000000000000−2i2i002i−2i000000
χ37444444-4-444-4-4-40000000000000000000000000000000
χ384444-4-4-4-4-444-440000000000000000000000000000000
χ3988-8-88-800000000000000000000000000000000000000
χ4088-8-8-8800000000000000000000000000000000000000
χ418-88-80000000004i2−4i200000000000000000000000000000
χ428-88-8000000000−4i24i200000000000000000000000000000
χ438-8-88008-8000000000000000000000000000000000000
χ448-8-8800-88000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).