Finite Group Databasebeta

← Group #284950

Character table — Group #284950

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888888888816161616161616161616161616323232
order12222244444444422244444888888888888884444448888888488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11
χ511111111111111111-1-1-111-11111111111-1-1-1-11-1-11-1-1-1-1-1-11-1-11-11
χ611111111111111111-1-1-111-111111111-1-1-1-1-1-1-111-111-1-1-1-1-111-11-1
χ711111111111111111-1-1-111-1-1-1-1-1-1-1-1-1111111-111-111-1-1111-1-11-1-1
χ811111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-111-111-111
χ9111111111111111-1-1111-1-1111-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-11
χ10111111111111111-1-1111-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1
χ11111111111111111-1-1111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1
χ12111111111111111-1-1111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111
χ13111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-111-1-1-111111-1-1-111
χ14111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-11111111-1111-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-111111-1-11-1-1-11-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-111-1-1-111-1-1-1111-11
χ1722222222-22-22-2-2-2222-22-2-2-2000000000000000000002-200000000
χ1822222222-22-22-2-2-222-22-2-2-2200000000000000000000-2200000000
χ1922222222-22-22-2-2-2-2-22-2222-200000000000000000000-2200000000
χ2022222222-22-22-2-2-2-2-2-22-2222000000000000000000002-200000000
χ21222222-2-2-2-2-2-22-2200000000002i−2i002i−2i00000002-2000000002i−2i000
χ22222222-2-2-2-2-2-22-2200000000002i−2i002i−2i0000000-2200000000−2i2i000
χ23222222-2-2-2-2-2-22-220000000000−2i2i00−2i2i00000002-200000000−2i2i000
χ24222222-2-2-2-2-2-22-220000000000−2i2i00−2i2i0000000-22000000002i−2i000
χ252222-2-22-22-2222-2-200000000002200-2-2220000-2002000000-200000
χ262222-2-22-22-2222-2-200000000002200-2-2-2-20000200-2000000200000
χ272222-2-22-22-2222-2-20000000000-2-20022220000200-2000000-200000
χ282222-2-22-22-2222-2-20000000000-2-20022-2-20000-2002000000200000
χ292222-2-2-22222-2-2-22002-2-20022200-2-2000022-2-20000000000000000
χ302222-2-2-22222-2-2-22002-2-2002-2-200220000-2-2220000000000000000
χ312222-2-2-22222-2-2-2200-22200-22200-2-20000-2-2220000000000000000
χ322222-2-2-22222-2-2-2200-22200-2-2-20022000022-2-20000000000000000
χ332222-2-2-22-22-2-222-20022-200-2002i−2i00−2i2i000000000000002i−2i000000
χ342222-2-2-22-22-2-222-20022-200-200−2i2i002i−2i00000000000000−2i2i000000
χ352222-2-2-22-22-2-222-200-2-22002002i−2i00−2i2i00000000000000−2i2i000000
χ362222-2-2-22-22-2-222-200-2-2200200−2i2i002i−2i000000000000002i−2i000000
χ37444444-4-44-44-4-44-400000000000000000000000000000000000000
χ384444-4-44-4-4-4-44-44400000000000000000000000000000000000000
χ394-44-44-44-4040-40000000000022−220022−22000000000000000000000000
χ404-44-44-44-4040-400000000000−222200−2222000000000000000000000000
χ414-44-44-4-440-404000000004i−4i0000000000000000000000000000000
χ424-44-44-4-440-40400000000−4i4i0000000000000000000000000000000
χ434-44-4-44440-40-40004-4000000000000000000000000000000000000
χ444-44-4-44440-40-4000-44000000000000000000000000000000000000
χ454-44-4-44-4-404040000000000022−2200−2222000000000000000000000000
χ464-44-4-44-4-4040400000000000−22220022−22000000000000000000000000
χ474-4-44000040-40000000000000000000022−22002i2−2i200002i−2i0000000000
χ484-4-44000040-40000000000000000000022−2200−2i22i20000−2i2i0000000000
χ494-4-44000040-400000000000000000000−2222002i2−2i20000−2i2i0000000000
χ504-4-44000040-400000000000000000000−222200−2i22i200002i−2i0000000000
χ5188-8-8000000000000000000000000000004-4000000000000000000
χ5288-8-800000000000000000000000000000-44000000000000000000
χ538-8-880000-808000000000000000000000000000000000000000000

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