Finite Group Databasebeta

← Group #285757

Character table — Group #285757

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222444444444444444444444444888888888888888881616161616161616161616163232
order12222222444444442244444488888888888888884444444448888888844448888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ91111111111111111-1-111-1-1-1-11111-1-1-1-111111111-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-1
χ101111111111111111-1-111-1-1-1-11111-1-1-1-111111111-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111111-1
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1111111-1-1-1-1-11
χ131111111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-111-1-111-1-1-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-111-1-111-1-1111-1
χ172222222222-2-22-2-2222-2-222-2-20000000000000000-22222-2-2-2-20000000000000000000000
χ182222222222-2-22-2-2222-2-222-2-20000000000000000-2-2-2-2-222220000000000000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-2220000000000000000222-2-222-2-20000000000000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-22200000000000000002-2-222-2-2220000000000000000000000
χ2122222222-2-222-222-222-2-2-2-2-2-22222-2-2-2-200000000200000000-2-222000000000000000000
χ2222222222-2-222-222-222-2-2-2-2-2-2-2-2-2-222220000000020000000022-2-2000000000000000000
χ2322222222-2-222-222-2-2-2-2-222222222222200000000-200000000-2-2-2-2000000000000000000
χ2422222222-2-222-222-2-2-2-2-22222-2-2-2-2-2-2-2-200000000-2000000002222000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-222000000002i2i2i2i−2i−2i−2i−2i-20000000000002i2i−2i−2i00000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-22200000000−2i−2i−2i−2i2i2i2i2i-2000000000000−2i−2i2i2i00000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-2000000002i2i2i2i−2i−2i−2i−2i2000000000000−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-200000000−2i−2i−2i−2i2i2i2i2i20000000000002i2i−2i−2i00000000000000
χ2922-2-2-22-222200-200-22-2002-20022−2−222−2−2i2i2−i2−i2i2i2−i2−i202i−2i2i−2i00002−22−2i2−i2i2−i200000000000000
χ3022-2-2-22-222200-200-22-2002-20022−2−222−2−2−i2−i2i2i2−i2−i2i2i20−2i2i−2i2i00002−22−2−i2i2−i2i200000000000000
χ3122-2-2-22-222200-200-22-2002-200−2−222−2−222i2i2−i2−i2i2i2−i2−i20−2i2i−2i2i0000−22−22i2−i2i2−i200000000000000
χ3222-2-2-22-222200-200-22-2002-200−2−222−2−222−i2−i2i2i2−i2−i2i2i202i−2i2i−2i0000−22−22−i2i2−i2i200000000000000
χ3322-2-2-22-222200-200-2-2200-220022−2−2−2−222i2i2−i2−i2i2i2−i2−i202i−2i−2i2i00002−2−22−i2i2−i2i200000000000000
χ3422-2-2-22-222200-200-2-2200-220022−2−2−2−222−i2−i2i2i2−i2−i2i2i20−2i2i2i−2i00002−2−22i2−i2i2−i200000000000000
χ3522-2-2-22-222200-200-2-2200-2200−2−22222−2−2i2i2−i2−i2i2i2−i2−i20−2i2i2i−2i0000−222−2−i2i2−i2i200000000000000
χ3622-2-2-22-222200-200-2-2200-2200−2−22222−2−2−i2−i2i2i2−i2−i2i2i202i−2i−2i2i0000−222−2i2−i2i2−i200000000000000
χ3722-2-2-22-22-2-20020022-200-220022−2−2−2−22222−2−2−2−222000002-22-2−222−22−2−2200000000000000
χ3822-2-2-22-22-2-20020022-200-220022−2−2−2−222−2−22222−2−200000-22-22−222−2−222−200000000000000
χ3922-2-2-22-22-2-20020022-200-2200−2−22222−2−222−2−2−2−22200000-22-222−2−222−2−2200000000000000
χ4022-2-2-22-22-2-20020022-200-2200−2−22222−2−2−2−22222−2−2000002-22-22−2−22−222−200000000000000
χ4122-2-2-22-22-2-2002002-22002-20022−2−222−2−222−2−2−2−22200000-222-2−22−22−222−200000000000000
χ4222-2-2-22-22-2-2002002-22002-20022−2−222−2−2−2−22222−2−2000002-2-22−22−222−2−2200000000000000
χ4322-2-2-22-22-2-2002002-22002-200−2−222−2−22222−2−2−2−222000002-2-222−22−2−222−200000000000000
χ4422-2-2-22-22-2-2002002-22002-200−2−222−2−222−2−22222−2−200000-222-22−22−22−2−2200000000000000
χ452-2-22-222-22-222-2-2-22002-20000000000002i−2i2i−2i2i−2i2i−2i00000000000000000002i−2i00002-20000
χ462-2-22-222-22-222-2-2-22002-20000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000−2i2i0000-220000
χ472-2-22-222-22-222-2-2-22002-2000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000002i−2i0000-220000
χ482-2-22-222-22-222-2-2-22002-2000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000−2i2i00002-20000
χ492-2-22-222-2-22-2-2222-2002-20000000000002-22-2-22-22000000000000000002i−2i00002i−2i000000
χ502-2-22-222-2-22-2-2222-2002-20000000000002-22-2-22-2200000000000000000−2i2i0000−2i2i000000
χ512-2-22-222-2-22-2-2222-2002-2000000000000-22-222-22-2000000000000000002i−2i0000−2i2i000000
χ522-2-22-222-2-22-2-2222-2002-2000000000000-22-222-22-200000000000000000−2i2i00002i−2i000000
χ534444-4-4-4-4004-404-4000000000000000000000000000000000000000000000000000022−2200
χ544444-4-4-4-4004-404-40000000000000000000000000000000000000000000000000000−222200
χ554444-4-4-4-400-440-44000000000000000000000000000000000000000000000022−2200000000
χ564444-4-4-4-400-440-440000000000000000000000000000000000000000000000−222200000000
χ574-44-444-4-44-400400-4000000000000000022−22−222222−22−22220000000000000000000000000000000
χ584-44-444-4-44-400400-40000000000000000−222222−22−222222−220000000000000000000000000000000
χ594-44-444-4-4-4400-400400000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000
χ604-44-444-4-4-4400-40040000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000
χ614-44-4-4-444000000000000004-422−2222−2222−2222−22000000000000000000000000000000000000000
χ624-44-4-4-444000000000000004-4−2222−2222−2222−2222000000000000000000000000000000000000000
χ634-44-4-4-44400000000000000-4422−2222−22−2222−2222000000000000000000000000000000000000000
χ644-44-4-4-44400000000000000-44−2222−222222−2222−22000000000000000000000000000000000000000
χ654-4-444-4-44004-40-440000000004-4-440000000000000000000000000000000000000000000
χ664-4-444-4-44004-40-44000000000-444-40000000000000000000000000000000000000000000
χ674-4-444-4-4400-4404-400000000000004-4-44000000000000000000000000000000000000000
χ684-4-444-4-4400-4404-40000000000000-444-4000000000000000000000000000000000000000
χ694-4-44-444-44-4-4-4-444400-44000000000000000000000000000000000000000000000000000
χ704-4-44-444-4-44444-4-4-400-44000000000000000000000000000000000000000000000000000
χ7188-8-88-88-8000000000000000000000000000000000000000000000000000000000000000

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