Finite Group Databasebeta

← Group #254331

Character table — Group #254331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444888888888888888888881616161616161616161616161616163232
order12222222224444444442224444444448888888822444444444888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-111111-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11111-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-111
χ511111111111111111111-1-11-1-1-1-1111111111111-111-111-111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111111-1-11-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-111-1-1-1-111
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1
χ9111111111111-1-11-1-111-111-111-1-111111111-1-1-1-1-11-1-11-1-1-1-11111-1-11-1
χ10111111111111-1-11-1-111-111-111-1-11111-1-1-1-11111-1-11-1-11-1-1-111-1-111-11
χ11111111111111-1-11-1-111-111-111-1-1-1-1-1-11111-1-1-1-11-111-11-111-1-111-1-1-11
χ12111111111111-1-11-1-111-111-111-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-1111-1
χ13111111111111-1-11-1-111-1-1-1-1-1-11111111111-1-1-1-111-111-11-1-1-1-1-1-111-11
χ14111111111111-1-11-1-111-1-1-1-1-1-1111111-1-1-1-111111-111-111-1-1-1-111-1-11-1
χ15111111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1111111-1-1111-1
χ16111111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-11-11111111-1-1-11
χ172222222222-2-222-222-2-2-222-2-2-2-2-200000000000000000020000000000
χ182222222222-2-222-222-2-2-2-2-2-22222000000000000000000-20000000000
χ192222222222-2-2-2-2-2-2-2-2-22222-2-222000000000000000000-20000000000
χ202222222222-2-2-2-2-2-2-2-2-22-2-2222-2-200000000000000000020000000000
χ2122222-22-2-2-2-2-2002002-2000000002i2i−2i−2i00002i2i−2i−2i00200-200000000000
χ2222222-22-2-2-2-2-2002002-2000000002i2i−2i−2i0000−2i−2i2i2i00-200200000000000
χ2322222-22-2-2-2-2-2002002-200000000−2i−2i2i2i00002i2i−2i−2i00-200200000000000
χ2422222-22-2-2-2-2-2002002-200000000−2i−2i2i2i0000−2i−2i2i2i00200-200000000000
χ252222-22-22-2-2-2-200200-22000000002i−2i2i−2i2i2i−2i−2i00000200-2000000000000
χ262222-22-22-2-2-2-200200-22000000002i−2i2i−2i−2i−2i2i2i00000-2002000000000000
χ272222-22-22-2-2-2-200200-2200000000−2i2i−2i2i2i2i−2i−2i00000-2002000000000000
χ282222-22-22-2-2-2-200200-2200000000−2i2i−2i2i−2i−2i2i2i00000200-2000000000000
χ292222-2-2-2-22222222-2-2-2-2-200200002-2-220000000000000002-200000000
χ302222-2-2-2-22222222-2-2-2-2-20020000-222-2000000000000000-2200000000
χ312222-2-2-2-22222-2-2222-2-2200-200002-2-22000000000000000-2200000000
χ322222-2-2-2-22222-2-2222-2-2200-20000-222-20000000000000002-200000000
χ332222-2-2-2-222-2-222-2-2-222200-20000000000000000200-2000002-2000000
χ342222-2-2-2-222-2-222-2-2-222200-20000000000000000-200200000-22000000
χ352222-2-2-2-222-2-2-2-2-22222-20020000000000000000200-200000-22000000
χ362222-2-2-2-222-2-2-2-2-22222-20020000000000000000-2002000002-2000000
χ372-22-2-222-22-2002i−2i02i−2i0000002i−2i2-200002−22−2i2−i2i2−i200000000000i2−i22−200
χ382-22-2-222-22-2002i−2i02i−2i0000002i−2i2-20000−22−22−i2i2−i2i200000000000−i2i2−2200
χ392-22-2-222-22-2002i−2i02i−2i000000−2i2i-2200002−22−2i2−i2i2−i200000000000−i2i2−2200
χ402-22-2-222-22-2002i−2i02i−2i000000−2i2i-220000−22−22−i2i2−i2i200000000000i2−i22−200
χ412-22-2-222-22-200−2i2i0−2i2i0000002i−2i-2200002−22−2−i2i2−i2i200000000000i2−i2−2200
χ422-22-2-222-22-200−2i2i0−2i2i0000002i−2i-220000−22−22i2−i2i2−i200000000000−i2i22−200
χ432-22-2-222-22-200−2i2i0−2i2i000000−2i2i2-200002−22−2−i2i2−i2i200000000000−i2i22−200
χ442-22-2-222-22-200−2i2i0−2i2i000000−2i2i2-20000−22−22i2−i2i2−i200000000000i2−i2−2200
χ4544444-44-4-4-44400-400-440000000000000000000000000000000000000
χ464444-44-44-4-44400-4004-40000000000000000000000000000000000000
χ474-44-444-4-4-440000000000000000000002i2−2i2−2i22i2000000000000000000000
χ484-44-444-4-4-44000000000000000000000−2i22i22i2−2i2000000000000000000000
χ494-44-44-4-444-4004i−4i0−4i4i000000000000000000000000000000000000000
χ504-44-44-4-444-400−4i4i04i−4i000000000000000000000000000000000000000
χ514-44-4-4-444-44000000000000000000000000022−22−222200000000000000000
χ524-44-4-4-444-440000000000000000000000000−222222−2200000000000000000
χ5388-8-80000008i−8i00000000000000000000000000000000000000000000
χ5488-8-8000000−8i8i00000000000000000000000000000000000000000000
χ558-8-8800000000000000004-40000000000000000000000000000000000
χ568-8-880000000000000000-440000000000000000000000000000000000

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