Finite Group Databasebeta

← Group #264966

Character table — Group #264966

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488884444444888822222288888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111111111-1-11-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-1111111-1-1111111111-1-1-1-11111-111-1-1-1-1-1-1-11111-1-1
χ611111111111111111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ711111111111111111-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-11
χ11111111111111-1-1-1-11111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111-11
χ12111111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-11-1-1-1111111-1-11-1
χ13111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-11111-11111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ14111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11111111111-11-1-111-1-1-1-1111-1
χ15111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-11-111-1-111-1-1111-1
χ16111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111111111-11111-1-1-1-111-1-1-11
χ172222222-2-22222222-20000-2-222-2-20022220000-2000000000-2-20000000000000
χ182222222-2-22222222-20000-2-222-2-200-2-2-2-20000-2000000000220000000000000
χ192222222-2-2222-2-2-2-2-20000-2-2-2-2220022-2-200002000000000-220000000000000
χ202222222-2-2222-2-2-2-2-20000-2-2-2-22200-2-222000020000000002-20000000000000
χ21222222-222-2-2-2000022222-2-20000-2-200000000000002i2i−2i−2i000000002i−2i000000
χ22222222-222-2-2-2000022222-2-20000-2-20000000000000−2i−2i2i2i00000000−2i2i000000
χ23222222-222-2-2-200002-2-2-2-2-2-200002200000000000002i2i−2i−2i00000000−2i2i000000
χ24222222-222-2-2-200002-2-2-2-2-2-20000220000000000000−2i−2i2i2i000000002i−2i000000
χ252222-2-2222-2-220000-222-2-2-2200002-2000022-2-2000000000200-2000000000000
χ262222-2-2222-2-220000-222-2-2-2200002-20000-2-222000000000-2002000000000000
χ272222-2-2222-2-220000-2-2-222-220000-22000022-2-2000000000-2002000000000000
χ282222-2-2222-2-220000-2-2-222-220000-220000-2-222000000000200-2000000000000
χ292222-2-2-22222-22222-222-2-22-2-2-222-2200000000-222-2-200000000000000000000
χ302222-2-2-22222-22222-2-2-2222-2-2-2222-200000000-2-2-22200000000000000000000
χ312222-2-2-22222-2-2-2-2-2-222-2-22-222-2-2-22000000002-2-22200000000000000000000
χ322222-2-2-22222-2-2-2-2-2-2-2-2222-222-2-22-200000000222-2-200000000000000000000
χ332222-2-2-2-2-222-2222220000-22-2-2-2-2000000000020000000000002-22-200000000
χ342222-2-2-2-2-222-2222220000-22-2-2-2-200000000002000000000000-22-2200000000
χ352222-2-2-2-2-222-2-2-2-2-220000-2222220000000000-20000000000002-2-2200000000
χ362222-2-2-2-2-222-2-2-2-2-220000-2222220000000000-2000000000000-222-200000000
χ372-2-222-22002-2-222-2-200000002-200002-22-2i2−i2i2−i200000i2−i2i2−i20000000000i2−i2i2−i200
χ382-2-222-22002-2-222-2-200000002-200002-22-2−i2i2−i2i200000−i2i2−i2i20000000000−i2i2−i2i200
χ392-2-222-22002-2-222-2-200000002-20000-22-22i2−i2i2−i200000i2−i2i2−i20000000000−i2i2−i2i200
χ402-2-222-22002-2-222-2-200000002-20000-22-22−i2i2−i2i200000−i2i2−i2i20000000000i2−i2i2−i200
χ412-2-222-22002-2-2-2-2220000000-2200002-2-22i2−i2i2−i200000−i2i2−i2i20000000000i2−i2−i2i200
χ422-2-222-22002-2-2-2-2220000000-2200002-2-22−i2i2−i2i200000i2−i2i2−i20000000000−i2i2i2−i200
χ432-2-222-22002-2-2-2-2220000000-220000-222-2i2−i2i2−i200000−i2i2−i2i20000000000−i2i2i2−i200
χ442-2-222-22002-2-2-2-2220000000-220000-222-2−i2i2−i2i200000i2−i2i2−i20000000000i2−i2−i2i200
χ45444444-4-4-4-4-4-40000-4000044000000000000000000000000000000000000000
χ464444-4-44-4-4-4-440000400004-4000000000000000000000000000000000000000
χ474-44-40004-400022−2222−220004i−4i000022−2200000000000002i2−2i200000000000000000000
χ484-44-40004-400022−2222−22000−4i4i000022−220000000000000−2i22i200000000000000000000
χ494-44-40004-4000−2222−22220004i−4i0000−22220000000000000−2i22i200000000000000000000
χ504-44-40004-4000−2222−2222000−4i4i0000−222200000000000002i2−2i200000000000000000000
χ514-44-4000-4400022−2222−2204i−4i000000−2222000000000002i2−2i20000000000000000000000
χ524-44-4000-4400022−2222−220−4i4i000000−222200000000000−2i22i20000000000000000000000
χ534-44-4000-44000−2222−222204i−4i00000022−2200000000000−2i22i20000000000000000000000
χ544-44-4000-44000−2222−22220−4i4i00000022−22000000000002i2−2i20000000000000000000000
χ554-4-444-4-400-44400000000000000000000000000000022−22−22220000000000000000
χ564-4-444-4-400-444000000000000000000000000000000−222222−220000000000000000
χ574-4-44-44400-44-40000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ584-4-44-44400-44-4000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ594-4-44-44-4004-4444-4-40000000-440000000000000000000000000000000000000
χ604-4-44-44-4004-44-4-44400000004-40000000000000000000000000000000000000
χ6188-8-80000000042−42−42420000000000000000000000000000000000000000000000
χ6288-8-800000000−424242−420000000000000000000000000000000000000000000000

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