Finite Group Databasebeta

← Group #300487

Character table — Group #300487

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444444888888816161616161616161616161616161616161632323232
order12222244444448824448882224444444888888884488
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111-1-1-1-111111-1-1-111-111-1-111-1-1-1-1-1-111
χ6111111111111111-1-1-1-111111-1-1-111-1-1-1-1-1-1-1111111-1-1
χ7111111111111111-1-1-1-1111-1-1111-1-1111-1-111-1-1-1-111-1-1
χ8111111111111111-1-1-1-1111-1-1111-1-11-1-1-1-1-1-11111-1-111
χ91111111111111-1-11111-1-1-11-111-11-1-111-1-1-1-111-1-11-11-1
χ101111111111111-1-11111-1-1-11-111-11-1-1-1-1-1-111-1-111-11-11
χ111111111111111-1-11111-1-1-1-11-1-11-11111-1-1-1-111-1-1-11-11
χ121111111111111-1-11111-1-1-1-11-1-11-111-1-1-1-111-1-1111-11-1
χ131111111111111-1-1-1-1-1-1-1-1-11-1-1-111-111111-1-1-1-111-111-1
χ141111111111111-1-1-1-1-1-1-1-1-11-1-1-111-11-1-1111111-1-11-1-11
χ151111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-11111-1-1-1-1111-1-11
χ161111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1111111-1-1-111-1
χ1722222222-22-2-2-22200002-2-2002-2-200200000000000000
χ1822222222-22-2-2-22200002-2-200-22200-200000000000000
χ1922222222-22-2-2-2-2-20000-222002-2200-200000000000000
χ2022222222-22-2-2-2-2-20000-22200-22-200200000000000000
χ21222222-2-2-2-22-22002-2-22000000000002-200002-2000000
χ22222222-2-2-2-22-22002-2-2200000000000-220000-22000000
χ23222222-2-2-2-22-2200-222-2000000000002-20000-22000000
χ24222222-2-2-2-22-2200-222-200000000000-2200002-2000000
χ252222-2-2222-2-2-222222-2-2-22-200000000002-20000000000
χ262222-2-2222-2-2-2222-2-222-22-20000000000-220000000000
χ272222-2-2222-2-2-22-2-222-2-22-220000000000-220000000000
χ282222-2-2222-2-2-22-2-2-2-2222-2200000000002-20000000000
χ292222-2-222-2-222-2220000-2-222-2000-22000000000000000
χ302222-2-222-2-222-2220000-2-22-220002-2000000000000000
χ312222-2-222-2-222-2-2-2000022-222000-2-2000000000000000
χ322222-2-222-2-222-2-2-2000022-2-2-200022000000000000000
χ332222-2-2-2-2-22-222002-22-20000000000000002-2002-20000
χ342222-2-2-2-2-22-222002-22-2000000000000000-2200-220000
χ352222-2-2-2-2-22-22200-22-220000000000000002-200-220000
χ362222-2-2-2-2-22-22200-22-22000000000000000-22002-20000
χ37444444-4-44-4-44-40000000000000000000000000000000
χ384444-4-4-4-4444-4-40000000000000000000000000000000
χ3988-8-8008-8000000000000000000000000000000000000
χ4088-8-800-88000000000000000000000000000000000000
χ418-88-80000000004i2−4i200000000000000000000000000000
χ428-88-8000000000−4i24i200000000000000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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