Finite Group Databasebeta

← Group #310285

Character table — Group #310285

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1111111-1-1-1
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1
χ111111111111111111-1-1-1-1111111-1-11111-1-1111111-1-1-1-1111111-11-1-1-1-1-1-1-1-11111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111111-111-1-111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111111-1-111-1-111-1
χ172222222222-2-22-2-222222-2-20000220000-2-20000-2-20000220000-200000000000000
χ182222222222-2-22-2-222222-2-20000-2-20000-2-20000220000-2-20000200000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-20000220000220000220000-2-20000-200000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000-2-20000220000-2-20000220000200000000000000
χ2122222222-2-222-222-20000-2-2222200222200-2-2-2-20000000000000-20000000000000
χ2222222222-2-222-222-20000-2-2222200-2-2-2-20022-2-2000000000000020000000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-20022-2-200-2-222000000000000020000000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-200-2-2220022220000000000000-20000000000000
χ252-222-2-2-222-2222-2-2-22i2i−2i−2i-220000002i−2i002i−2i2i−2i0000000000000000002-2000000000
χ262-222-2-2-222-2222-2-2-22i2i−2i−2i-22000000−2i2i002i−2i−2i2i000000000000000000-22000000000
χ272-222-2-2-222-2222-2-2-2−2i−2i2i2i-220000002i−2i00−2i2i2i−2i000000000000000000-22000000000
χ282-222-2-2-222-2222-2-2-2−2i−2i2i2i-22000000−2i2i00−2i2i−2i2i0000000000000000002-2000000000
χ292-222-2-2-222-2-2-2222-22i2i−2i−2i2-20000000000−2i2i0000000000000000002i−2i0000002-2000
χ302-222-2-2-222-2-2-2222-22i2i−2i−2i2-20000000000−2i2i000000000000000000−2i2i000000-22000
χ312-222-2-2-222-2-2-2222-2−2i−2i2i2i2-200000000002i−2i0000000000000000002i−2i000000-22000
χ322-222-2-2-222-2-2-2222-2−2i−2i2i2i2-200000000002i−2i000000000000000000−2i2i0000002-2000
χ332-222-2-2-22-2222-2-2-2200002-20000002i−2i0000−2i2i00002i2i−2i−2i0000000000002-20000000
χ342-222-2-2-22-2222-2-2-2200002-20000002i−2i0000−2i2i0000−2i−2i2i2i000000000000-220000000
χ352-222-2-2-22-2222-2-2-2200002-2000000−2i2i00002i−2i00002i2i−2i−2i000000000000-220000000
χ362-222-2-2-22-2222-2-2-2200002-2000000−2i2i00002i−2i0000−2i−2i2i2i0000000000002-20000000
χ372-22-222-2-2-2-20020022i−2i2i−2i0022−2−22i−2i000000002−200i2−i2i2−i22-222−2−200000000i2−i200000
χ382-22-222-2-2-2-20020022i−2i2i−2i0022−2−2−2i2i000000002−200i2−i2i2−i2-22−2−22200000000−i2i200000
χ392-22-222-2-2-2-20020022i−2i2i−2i00−2−2222i−2i00000000−2200−i2i2−i2i22-2−2−22200000000−i2i200000
χ402-22-222-2-2-2-20020022i−2i2i−2i00−2−222−2i2i00000000−2200−i2i2−i2i2-2222−2−200000000i2−i200000
χ412-22-222-2-2-2-2002002−2i2i−2i2i0022−2−22i−2i000000002−200−i2i2−i2i2-22−2−22200000000i2−i200000
χ422-22-222-2-2-2-2002002−2i2i−2i2i0022−2−2−2i2i000000002−200−i2i2−i2i22-222−2−200000000−i2i200000
χ432-22-222-2-2-2-2002002−2i2i−2i2i00−2−2222i−2i00000000−2200i2−i2i2−i2-2222−2−200000000−i2i200000
χ442-22-222-2-2-2-2002002−2i2i−2i2i00−2−222−2i2i00000000−2200i2−i2i2−i22-2−2−22200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-44-400-400400000000000000000000000022−22−2222000000000000000000000
χ47444-4-4-44-44-400-4004000000000000000000000000−222222−22000000000000000000000
χ48444-4-4-44-4-4400400-44-4-44000000000000000000000000000000000000000000000
χ49444-4-4-44-4-4400400-4-444-4000000000000000000000000000000000000000000000
χ5044-444-4-4-4004-404-4000000000000000000000000000000022−2222−22000000000000000
χ5144-444-4-4-4004-404-40000000000000000000000000000000−2222−2222000000000000000
χ5244-444-4-4-400-440-4400000004-44-4000000000000000000000000000000000000000
χ5344-444-4-4-400-440-440000000-44-44000000000000000000000000000000000000000
χ544-444-4-4-44-44-4-4-44440000-440000000000000000000000000000000000000000000
χ554-44-444-4-44400-400-40000002222−22−220000000000−2222000000000000000000000000000
χ564-44-444-4-44400-400-4000000−22−222222000000000022−22000000000000000000000000000
χ574-4-44-444-4004-40-44000000000000000000000000000000000000000000000002i2−2i20
χ584-4-44-444-4004-40-4400000000000000000000000000000000000000000000000−2i22i20
χ594-4-44-444-400-4404-40000000000000004i−4i000000000000000000000000000000000
χ604-4-44-444-400-4404-4000000000000000−4i4i000000000000000000000000000000000
χ614-4-4-44-4440000000000000022−22−222200000000000022−220000002-2-22000000000000000
χ624-4-4-44-4440000000000000022−22−2222000000000000−2222000000-222-2000000000000000
χ634-4-4-44-44400000000000000−222222−2200000000000022−22000000-222-2000000000000000
χ644-4-4-44-44400000000000000−222222−22000000000000−22220000002-2-22000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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