Finite Group Databasebeta

← Group #280449

Character table — Group #280449

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-111-1
χ71111111111111111111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-1
χ81111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-11
χ91111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-11
χ101111111111111111-1-1-1-1111111-1-111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1111111-1-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-11111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-111111-1-111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1111
χ17222222222-22-2-222-20000-2-2222200220022-2-2-2-2000000000000-200000000000000
χ18222222222-22-2-222-20000-2-2222200-2-200-2-222-2-2000000000000200000000000000
χ19222222222-22-2-222-20000-2-2-2-2-2-2002200-2-22222000000000000-200000000000000
χ20222222222-22-2-222-20000-2-2-2-2-2-200-2-20022-2-222000000000000200000000000000
χ2122222222-22-222-2-222222-2-20000-2-2002200000022-2-2000000000000000-20000000
χ2222222222-22-222-2-222222-2-20000-2-200-2-2000000-2-22200000000000000020000000
χ2322222222-22-222-2-22-2-2-2-2-2-20000220022000000-2-222000000000000000-20000000
χ2422222222-22-222-2-22-2-2-2-2-2-200002200-2-200000022-2-200000000000000020000000
χ252-22-22-2-2222-2-2-22-2200002-200000000002i−2i2i−2i0000002i2i−2i−2i0000000002-200000000
χ262-22-22-2-2222-2-2-22-2200002-200000000002i−2i2i−2i000000−2i−2i2i2i000000000-2200000000
χ272-22-22-2-2222-2-2-22-2200002-20000000000−2i2i−2i2i0000002i2i−2i−2i000000000-2200000000
χ282-22-22-2-2222-2-2-22-2200002-20000000000−2i2i−2i2i000000−2i−2i2i2i0000000002-200000000
χ292-22-22-2-222-2-2222-2-222-2-2-2200002-200002i−2i−2i2i0000000000000002i−2i000000000000
χ302-22-22-2-222-2-2222-2-222-2-2-2200002-20000−2i2i2i−2i000000000000000−2i2i000000000000
χ312-22-22-2-222-2-2222-2-2-2-222-220000-2200002i−2i−2i2i000000000000000−2i2i000000000000
χ322-22-22-2-222-2-2222-2-2-2-222-220000-220000−2i2i2i−2i0000000000000002i−2i000000000000
χ332-22-22-2-22-2-2222-22-222-2-22-20000-2200000000000000000000000002i−2i00000002i−2i0
χ342-22-22-2-22-2-2222-22-222-2-22-20000-220000000000000000000000000−2i2i0000000−2i2i0
χ352-22-22-2-22-2-2222-22-2-2-2222-200002-200000000000000000000000002i−2i0000000−2i2i0
χ362-22-22-2-22-2-2222-22-2-2-2222-200002-20000000000000000000000000−2i2i00000002i−2i0
χ372-2-2-2222-20202-200-22i−2i2i−2i0022−2−200002-200002−22i−2i00i2−i2i2−i2i2i2−i2−i2000000002−200000
χ382-2-2-2222-20202-200-22i−2i2i−2i0022−2−20000-2200002−2−2i2i00i2−i2i2−i2−i2−i2i2i200000000−2200000
χ392-2-2-2222-20202-200-22i−2i2i−2i00−2−22200002-20000−222i−2i00−i2i2−i2i2−i2−i2i2i200000000−2200000
χ402-2-2-2222-20202-200-22i−2i2i−2i00−2−2220000-220000−22−2i2i00−i2i2−i2i2i2i2−i2−i2000000002−200000
χ412-2-2-2222-20202-200-2−2i2i−2i2i0022−2−200002-200002−2−2i2i00−i2i2−i2i2−i2−i2i2i2000000002−200000
χ422-2-2-2222-20202-200-2−2i2i−2i2i0022−2−20000-2200002−22i−2i00−i2i2−i2i2i2i2−i2−i200000000−2200000
χ432-2-2-2222-20202-200-2−2i2i−2i2i00−2−22200002-20000−22−2i2i00i2−i2i2−i2i2i2−i2−i200000000−2200000
χ442-2-2-2222-20202-200-2−2i2i−2i2i00−2−2220000-220000−222i−2i00i2−i2i2−i2−i2−i2i2i2000000002−200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-44-4-440400-4-400000000000000000000000000000000000000000000022−22000
χ47444-4-44-4-440400-4-4000000000000000000000000000000000000000000000−2222000
χ48444-4-44-4-4-40-4004400000000000004i−4i00000000000000000000000000000000000
χ49444-4-44-4-4-40-400440000000000000−4i4i00000000000000000000000000000000000
χ5044-444-4-4-4040-4400-40000000000000000000000000022−22−22220000000000000000000
χ5144-444-4-4-4040-4400-400000000000000000000000000−222222−220000000000000000000
χ5244-444-4-4-40-404-40044i−4i−4i4i000000000000000000000000000000000000000000000
χ5344-444-4-4-40-404-4004−4i4i4i−4i000000000000000000000000000000000000000000000
χ5444-4-4-4-444000000000000002i2−2i22i2−2i2000000000000002i2−2i200002-22-2000000000000000
χ5544-4-4-4-444000000000000002i2−2i22i2−2i200000000000000−2i22i20000-22-22000000000000000
χ5644-4-4-4-44400000000000000−2i22i2−2i22i2000000000000002i2−2i20000-22-22000000000000000
χ5744-4-4-4-44400000000000000−2i22i2−2i22i200000000000000−2i22i200002-22-2000000000000000
χ584-444-4-44-440-400-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ594-444-4-44-440-400-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ604-444-4-44-4-404004-400000004i−4i−4i4i000000000000000000000000000000000000000
χ614-444-4-44-4-404004-40000000−4i4i4i−4i000000000000000000000000000000000000000
χ624-44-44-4-44-444-4-4-4440000-440000000000000000000000000000000000000000000
χ634-4-4-4444-40-40-440040000002222−22−220000000000−2222000000000000000000000000000
χ644-4-4-4444-40-40-44004000000−22−222222000000000022−22000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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