Finite Group Databasebeta

← Group #279441

Character table — Group #279441

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-11
χ121111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-11-1
χ131111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-11
χ141111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-111-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-11
χ1722222222222222-2-22-22-222-2-2-2-2000000-200000022220000-2-2-2-200000000000000
χ1822222222222222-2-22-22-222-2-2-2-2000000-2000000-2-2-2-20000222200000000000000
χ192222222222-2-2-2-2-2-22-22-2-2-2-2-222000000200000022-2-20000-2-22200000000000000
χ202222222222-2-2-2-2-2-22-22-2-2-2-2-2220000002000000-2-222000022-2-200000000000000
χ2122222222-2-2222222-22-22-2-2-2-22222-2-2-2-2-222000000000000000000000000000000
χ2222222222-2-2222222-22-22-2-2-2-222-2-22222-2-2-2000000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-222-2-2000000200000000000000000000002i−2i2i−2i000000
χ2422222222-2-22222-2-2-2-2-2-2-2-222-2-200000020000000000000000000000−2i2i−2i2i000000
χ2522222222-2-2-2-2-2-222-22-2222-2-2-2-222-2-2222-2-2000000000000000000000000000000
χ2622222222-2-2-2-2-2-222-22-2222-2-2-2-2-2-222-2-2222000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-200000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000000000000−2i2i2i−2i000000
χ292222-2-2-2-22-222-2-20020-202-2000000000000022−2−22-22-222−2−20000000000002−22−200
χ302222-2-2-2-22-222-2-20020-202-2000000000000022−2−2-22-2222−2−2000000000000−22−2200
χ312222-2-2-2-22-222-2-20020-202-20000000000000−2−2222-22-2−2−222000000000000−22−2200
χ322222-2-2-2-22-222-2-20020-202-20000000000000−2−222-22-22−2−2220000000000002−22−200
χ332222-2-2-2-22-2-2-2220020-20-22000000000000022−2−22-2-22−2−2220000000000002−2−2200
χ342222-2-2-2-22-2-2-2220020-20-22000000000000022−2−2-222-2−2−222000000000000−222−200
χ352222-2-2-2-22-2-2-2220020-20-220000000000000−2−2222-2-2222−2−2000000000000−222−200
χ362222-2-2-2-22-2-2-2220020-20-220000000000000−2−222-222-222−2−20000000000002−2−2200
χ3722-2-222-2-22200002-2-22-2-2002-2002-22-2000002-22-20000000000002-2000000000000
χ3822-2-222-2-22200002-2-22-2-2002-2002-22-200000-22-22000000000000-22000000000000
χ3922-2-222-2-22200002-2-22-2-2002-200-22-22000002-22-2000000000000-22000000000000
χ4022-2-222-2-22200002-2-22-2-2002-200-22-2200000-22-220000000000002-2000000000000
χ4122-2-222-2-2-2-200002-2222-200-22002-2-2200000000000002i−2i2i−2i0000002i−2i0000000000
χ4222-2-222-2-2-2-200002-2222-200-22002-2-220000000000000−2i2i−2i2i000000−2i2i0000000000
χ4322-2-222-2-2-2-200002-2222-200-2200-222-200000000000002i−2i2i−2i000000−2i2i0000000000
χ4422-2-222-2-2-2-200002-2222-200-2200-222-20000000000000−2i2i−2i2i0000002i−2i0000000000
χ454444-4-4-4-4-4444-4-400-4040-440000000000000000000000000000000000000000000
χ464444-4-4-4-4-44-4-44400-40404-40000000000000000000000000000000000000000000
χ4744-4-444-4-4440000-44-4-4-4400-4400000000000000000000000000000000000000000
χ4844-4-444-4-4-4-40000-444-444004-400000000000000000000000000000000000000000
χ4944-4-4-4-4444-4000000-404000000000000000022−22−222200000000000000000000000000
χ5044-4-4-4-4444-4000000-4040000000000000000−222222−2200000000000000000000000000
χ5144-4-4-4-444-4400000040-40000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5244-4-4-4-444-4400000040-4000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-44-44-4-44004-44-40000000000000000000000000000000002i2−2i22i2−2i200000000000000
χ544-44-44-4-44004-44-4000000000000000000000000000000000−2i22i2−2i22i200000000000000
χ554-44-44-4-4400-44-440000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ564-44-44-4-4400-44-44000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ574-44-4-444-4004-4-44440-40-400004-4000000000000000000000000000000000000000
χ584-44-4-444-4004-4-44-4-404040000-44000000000000000000000000000000000000000
χ594-44-4-444-400-444-4440-40-40000-44000000000000000000000000000000000000000
χ604-44-4-444-400-444-4-4-4040400004-4000000000000000000000000000000000000000
χ614-4-44-44-440000004-40-40400000000000004-4000000000000000000000000000000
χ624-4-44-44-440000004-40-4040000000000000-44000000000000000000000000000000
χ634-4-44-44-44000000-44040-400000000004i−4i000000000000000000000000000000000
χ644-4-44-44-44000000-44040-40000000000−4i4i000000000000000000000000000000000
χ658-8-888-88-8000000000000000000000000000000000000000000000000000000000

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