Finite Group Databasebeta

← Group #268407

Character table — Group #268407

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444488888888888888888888888888888888888881616161616163232
order12222222444444444444444444222444444444488888888888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111
χ5111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-11-1-1-1
χ7111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ8111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ91111111111-1-1-1-1111111-1-1-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-111-1
χ101111111111-1-1-1-1111111-1-1-1-111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1111-11-11
χ111111111111-1-1-1-1111111-1-1-1-111-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11
χ121111111111-1-1-1-1111111-1-1-1-111-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1
χ131111111111-1-1-1-1111111-1-1-1-111-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1
χ141111111111-1-1-1-1111111-1-1-1-111-1-1-11111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11
χ151111111111-1-1-1-1111111-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1111-1-11
χ161111111111-1-1-1-1111111-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1111-11-1
χ1722222222222222-2-222-2-2-2-222-2-2-2222200000000000000000000000000000000-20000-200
χ1822222222222222-2-222-2-2-2-222-2-2-2-2-2-2-20000000000000000000000000000000020000200
χ192222222222-2-2-2-2-2-222-2-222-2-2-2-2222-2-20000000000000000000000000000000020000-200
χ202222222222-2-2-2-2-2-222-2-222-2-2-2-22-2-22200000000000000000000000000000000-20000200
χ2122222222-2-2222222-2-22222-2-2-2-2-20000222200000000000000000000000000000-200-2000
χ2222222222-2-2222222-2-22222-2-2-2-2-20000-2-2-2-2000000000000000000000000000002002000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-22220000000022-2-2000000000000000000000000002-20000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-222200000000-2-22200000000000000000000000000-220000
χ2522222222-2-2-2-2-2-222-2-222-2-222-2-22000022-2-200000000000000000000000000000-2002000
χ2622222222-2-2-2-2-2-222-2-222-2-222-2-220000-2-22200000000000000000000000000000200-2000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000022-2-200000000000000000000000000-220000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000-2-222000000000000000000000000002-20000
χ2922-2-22-2-22002i2i−2i−2i2-2002-22i−2i0000000002i−2i2-200000000000022−2−2i2i2−i2−i2i2i2−i2−i222−2−200000000
χ3022-2-22-2-22002i2i−2i−2i2-2002-22i−2i0000000002i−2i2-2000000000000−2−222−i2−i2i2i2−i2−i2i2i2−2−22200000000
χ3122-2-22-2-22002i2i−2i−2i2-2002-22i−2i000000000−2i2i-2200000000000022−2−2i2i2−i2−i2−i2−i2i2i2−2−22200000000
χ3222-2-22-2-22002i2i−2i−2i2-2002-22i−2i000000000−2i2i-22000000000000−2−222−i2−i2i2i2i2i2−i2−i222−2−200000000
χ3322-2-22-2-2200−2i−2i2i2i2-2002-2−2i2i0000000002i−2i-2200000000000022−2−2−i2−i2i2i2i2i2−i2−i2−2−22200000000
χ3422-2-22-2-2200−2i−2i2i2i2-2002-2−2i2i0000000002i−2i-22000000000000−2−222i2i2−i2−i2−i2−i2i2i222−2−200000000
χ3522-2-22-2-2200−2i−2i2i2i2-2002-2−2i2i000000000−2i2i2-200000000000022−2−2−i2−i2i2i2−i2−i2i2i222−2−200000000
χ3622-2-22-2-2200−2i−2i2i2i2-2002-2−2i2i000000000−2i2i2-2000000000000−2−222i2i2−i2−i2i2i2−i2−i2−2−22200000000
χ372-2-2222-2-22-22i−2i2i−2i002-200002i−2i0002-22i−2i0000000022−2−2i2i2−i2−i2000000002−22−2i2−i2i2−i200000000
χ382-2-2222-2-22-22i−2i2i−2i002-200002i−2i0002-22i−2i00000000−2−222−i2−i2i2i200000000−22−22−i2i2−i2i200000000
χ392-2-2222-2-22-22i−2i2i−2i002-200002i−2i000-22−2i2i0000000022−2−2i2i2−i2−i200000000−22−22−i2i2−i2i200000000
χ402-2-2222-2-22-22i−2i2i−2i002-200002i−2i000-22−2i2i00000000−2−222−i2−i2i2i2000000002−22−2i2−i2i2−i200000000
χ412-2-2222-2-22-2−2i2i−2i2i002-20000−2i2i0002-2−2i2i0000000022−2−2−i2−i2i2i2000000002−22−2−i2i2−i2i200000000
χ422-2-2222-2-22-2−2i2i−2i2i002-20000−2i2i0002-2−2i2i00000000−2−222i2i2−i2−i200000000−22−22i2−i2i2−i200000000
χ432-2-2222-2-22-2−2i2i−2i2i002-20000−2i2i000-222i−2i0000000022−2−2−i2−i2i2i200000000−22−22i2−i2i2−i200000000
χ442-2-2222-2-22-2−2i2i−2i2i002-20000−2i2i000-222i−2i00000000−2−222i2i2−i2−i2000000002−22−2−i2i2−i2i200000000
χ452-2-2-2-222222000022-2-2-2-200002-20000000002-22-200002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ462-2-2-2-222222000022-2-2-2-200002-20000000002-22-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ472-2-2-2-222222000022-2-2-2-200002-2000000000-22-2200002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ482-2-2-2-222222000022-2-2-2-200002-2000000000-22-220000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ492-2-2-2-2222-2-20000-2-2222200002-20000000002-2-222-22-2000000002-22-20000000000000000
χ502-2-2-2-2222-2-20000-2-2222200002-20000000002-2-22-22-2200000000-22-220000000000000000
χ512-2-2-2-2222-2-20000-2-2222200002-2000000000-222-22-22-200000000-22-220000000000000000
χ522-2-2-2-2222-2-20000-2-2222200002-2000000000-222-2-22-22000000002-22-20000000000000000
χ53444-4-44-4-44-4000000-44000000000000000000000000022−22−2222000000000000000000000000
χ54444-4-44-4-44-4000000-440000000000000000000000000−222222−22000000000000000000000000
χ55444-4-44-4-4-440000004-400000000000000000000022−22−22220000000000000000000000000000
χ56444-4-44-4-4-440000004-4000000000000000000000−222222−220000000000000000000000000000
χ5744-4-44-4-44004i4i−4i−4i-4400-44−4i4i0000000000000000000000000000000000000000000000000
χ5844-4-44-4-4400−4i−4i4i4i-4400-444i−4i0000000000000000000000000000000000000000000000000
χ594-444-4-4-440000004-400-440000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ604-444-4-4-440000004-400-44000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ614-444-4-4-44000000-44004-400000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ624-444-4-4-44000000-44004-40000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ634-44-44-44-4004-4-44000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ644-44-44-44-4004-4-4400000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ654-44-44-44-400-444-4000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ664-44-44-44-400-444-400000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ674-4-4444-4-4-444i−4i4i−4i00-440000−4i4i00000000000000000000000000000000000000000000000
χ684-4-4444-4-4-44−4i4i−4i4i00-4400004i−4i00000000000000000000000000000000000000000000000
χ694-4-4-4-4444440000-4-4-4-4440000-44000000000000000000000000000000000000000000000
χ704-4-4-4-4444-4-400004444-4-40000-44000000000000000000000000000000000000000000000
χ7188-88-8-88-8000000000000000000000000000000000000000000000000000000000000000

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