Finite Group Databasebeta

← Group #282736

Character table — Group #282736

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888884444444488888888888888882222244488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111
χ511111111111111111111-1-1-1-11111111111-1-11111-1-111111111-1-1-1-11111-1-11-1-1-1-1-111-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1111
χ711111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1111-1-111-1-1-1
χ91111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1
χ101111111111111111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111111-1-1-1-1-111-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-111-111-1-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1111111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-11-1-1111-1-1-1-11
χ172222222222-2-2-2-22222220000-2-2000022220022-2-200000000-2-20000000000-20000000000
χ182222222222-2-2-2-22222220000-2-20000-2-2-2-200-2-2-2-20000000022000000000020000000000
χ192222222222-2-2-2-222-2-2-2-20000-2-20000222200-2-22200000000-2-2000000000020000000000
χ202222222222-2-2-2-222-2-2-2-20000-2-20000-2-2-2-200222200000000220000000000-20000000000
χ2122222222-2-22222-2-200002222-2-222220000220000-2-2-2-20000000000000000000-20000000
χ2222222222-2-22222-2-200002222-2-2-2-2-2-20000-2-20000-2-222000000000000000000020000000
χ2322222222-2-22222-2-20000-2-2-2-2-2-222220000-2-2000022-2-2000000000000000000020000000
χ2422222222-2-22222-2-20000-2-2-2-2-2-2-2-2-2-2000022000022220000000000000000000-20000000
χ2522-22-22-2-2002-22-200000022-2-2002i2i−2i−2ii2i2−i2−i22i−2i000000000000i2−i2i2i2−i2−i222−2−200000000002−20
χ2622-22-22-2-2002-22-200000022-2-2002i2i−2i−2i−i2−i2i2i22i−2i000000000000−i2i2−i2−i2i2i2−2−2220000000000−220
χ2722-22-22-2-2002-22-200000022-2-200−2i−2i2i2ii2i2−i2−i2−2i2i000000000000i2−i2i2i2−i2−i2−2−2220000000000−220
χ2822-22-22-2-2002-22-200000022-2-200−2i−2i2i2i−i2−i2i2i2−2i2i000000000000−i2i2−i2−i2i2i222−2−200000000002−20
χ2922-22-22-2-2002-22-2000000-2-222002i2i−2i−2ii2i2−i2−i2−2i2i000000000000i2−i2−i2−i2i2i222−2−20000000000−220
χ3022-22-22-2-2002-22-2000000-2-222002i2i−2i−2i−i2−i2i2i2−2i2i000000000000−i2i2i2i2−i2−i2−2−22200000000002−20
χ3122-22-22-2-2002-22-2000000-2-22200−2i−2i2i2ii2i2−i2−i22i−2i000000000000i2−i2−i2−i2i2i2−2−22200000000002−20
χ3222-22-22-2-2002-22-2000000-2-22200−2i−2i2i2i−i2−i2i2i22i−2i000000000000−i2i2i2i2−i2−i222−2−20000000000−220
χ332-2222-2-2-22-200002-222-2-2000000i2−i2i2−i22i−2i2i−2i002i−2i0000i2−i2i2i2−i2−i20000002−22−2000000002−2000
χ342-2222-2-2-22-200002-222-2-2000000i2−i2i2−i2−2i2i−2i2i00−2i2i0000i2−i2i2i2−i2−i2000000−22−2200000000−22000
χ352-2222-2-2-22-200002-222-2-2000000−i2i2−i2i22i−2i2i−2i002i−2i0000−i2i2−i2−i2i2i2000000−22−2200000000−22000
χ362-2222-2-2-22-200002-222-2-2000000−i2i2−i2i2−2i2i−2i2i00−2i2i0000−i2i2−i2−i2i2i20000002−22−2000000002−2000
χ372-2222-2-2-22-200002-2-2-222000000i2−i2i2−i22i−2i2i−2i00−2i2i0000i2−i2−i2−i2i2i20000002−22−200000000−22000
χ382-2222-2-2-22-200002-2-2-222000000i2−i2i2−i2−2i2i−2i2i002i−2i0000i2−i2−i2−i2i2i2000000−22−22000000002−2000
χ392-2222-2-2-22-200002-2-2-222000000−i2i2−i2i22i−2i2i−2i00−2i2i0000−i2i2i2i2−i2−i2000000−22−22000000002−2000
χ402-2222-2-2-22-200002-2-2-222000000−i2i2−i2i2−2i2i−2i2i002i−2i0000−i2i2i2i2−i2−i20000002−22−200000000−22000
χ412-22-2-22-222222-2-2-2-22i−2i2i−2i0000-220000000000002i−2i00000000002i−2i2i−2i00000002-200000000
χ422-22-2-22-222222-2-2-2-22i−2i2i−2i0000-220000000000002i−2i0000000000−2i2i−2i2i0000000-2200000000
χ432-22-2-22-222222-2-2-2-2−2i2i−2i2i0000-22000000000000−2i2i00000000002i−2i2i−2i0000000-2200000000
χ442-22-2-22-222222-2-2-2-2−2i2i−2i2i0000-22000000000000−2i2i0000000000−2i2i−2i2i00000002-200000000
χ452-22-2-22-2222-2-222-2-22i−2i2i−2i2-22-22-2000000000000−2i2i2-200000000000000000000002i−2i00000
χ462-22-2-22-2222-2-222-2-22i−2i2i−2i-22-222-2000000000000−2i2i-220000000000000000000000−2i2i00000
χ472-22-2-22-2222-2-222-2-2−2i2i−2i2i2-22-22-20000000000002i−2i2-20000000000000000000000−2i2i00000
χ482-22-2-22-2222-2-222-2-2−2i2i−2i2i-22-222-20000000000002i−2i-2200000000000000000000002i−2i00000
χ492-22-2-22-22-2-2-2-2222200002-22-2-2200000000000000-22002-22-200000000002-200000000000
χ502-22-2-22-22-2-2-2-2222200002-22-2-2200000000000000-2200-22-220000000000-2200000000000
χ512-22-2-22-22-2-2-2-222220000-22-22-22000000000000002-2002-22-20000000000-2200000000000
χ522-22-2-22-22-2-2-2-222220000-22-22-22000000000000002-200-22-2200000000002-200000000000
χ5344444444-4-4-4-4-4-4-4-40000000044000000000000000000000000000000000000000000000
χ54444-4-4-44-44-40000-444i−4i−4i4i000000000000000000000000000000000000000000000000000
χ55444-4-4-44-44-40000-44−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ56444-4-4-44-4-4400004-400000000000000000000000000002i2−2i2−2i22i200000000000000000000000
χ57444-4-4-44-4-4400004-40000000000000000000000000000−2i22i22i2−2i200000000000000000000000
χ5844-44-44-4-400-44-4400000000000000002i22i2−2i2−2i200000000000000−2i22i2000000000000000000000
χ5944-44-44-4-400-44-440000000000000000−2i2−2i22i22i2000000000000002i2−2i2000000000000000000000
χ604-4444-4-4-4-440000-4400000000002i2−2i22i2−2i2000000000000−2i22i2000000000000000000000000000
χ614-4444-4-4-4-440000-440000000000−2i22i2−2i22i20000000000002i2−2i2000000000000000000000000000
χ624-44-4-44-44-4-444-4-444000000004-4000000000000000000000000000000000000000000000
χ634-4-44-4-44400000000000000000022−22−222222−22−2222000000000000000000002-2-220000000000000
χ644-4-44-4-44400000000000000000022−22−2222−222222−2200000000000000000000-222-20000000000000
χ654-4-44-4-444000000000000000000−222222−2222−22−222200000000000000000000-222-20000000000000
χ664-4-44-4-444000000000000000000−222222−22−222222−22000000000000000000002-2-220000000000000
χ674-4-4-4444-4004-4-4400000000000000000000000000000000000022−22−222200000000000000000
χ684-4-4-4444-4004-4-44000000000000000000000000000000000000−222222−2200000000000000000
χ694-4-4-4444-400-444-40000004-4-4400000000000000000000000000000000000000000000000
χ704-4-4-4444-400-444-4000000-444-400000000000000000000000000000000000000000000000
χ7188-8-88-8-88000000000000000000000000000000000000000000000000000000000000000

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