Finite Group Databasebeta

← Group #348680

Character table — Group #348680

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444448888888888888888888888888816161616323232323232
order12222244224448888222444444444888888888888884444448888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ4111111111111111111-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-11-1-11-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ611111111111111111-11-1-11-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111
χ711111111111111111-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ811111111111111111-1-11-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ91111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ101111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ111111111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-11-11
χ121111111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-111-11-1
χ131111111111111-1-1-1-1-11-1-11-1-1-111-1-111-1-111-1-111-1-11111-1-1-111-1-11
χ141111111111111-1-1-1-1-11-1-11-1-1-111-1-111-1-111-1-111-1-111-1-1111-1-111-1
χ151111111111111-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-11111-1-111-1-1-11-111-1
χ161111111111111-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-1111-11-1-11
χ1722222222-2-22-2-222-2-2200200-2-200002200002-2-2-200000000000000
χ1822222222-2-22-2-222-2-2-200-200220000-2-200002-22200000000000000
χ1922222222-2-22-2-2-2-222200200-2-20000-2-20000-222200000000000000
χ2022222222-2-22-2-2-2-222-200-200220000220000-22-2-200000000000000
χ21222222-2-222-2-2-20000200-2002-20000002i−2i2i−2i00002i−2i2i−2i0000000000
χ22222222-2-222-2-2-20000200-2002-2000000−2i2i−2i2i0000−2i2i−2i2i0000000000
χ23222222-2-222-2-2-20000-200200-220000002i−2i−2i2i00002i−2i−2i2i0000000000
χ24222222-2-222-2-2-20000-200200-22000000−2i2i2i−2i0000−2i2i2i−2i0000000000
χ25222222-2-2-2-2-2220000222-2-2-2-222-22-2000000000000000000000000
χ26222222-2-2-2-2-22200002-2-2-222-22-22-22000000000000000000000000
χ27222222-2-2-2-2-2220000-22-22-222-22-2-22000000000000000000000000
χ28222222-2-2-2-2-2220000-2-2222-22-2-222-2000000000000000000000000
χ292222-2-2222-2-22-222220020020000-2-20000-2-2-2-20000220000000000
χ302222-2-2222-2-22-2222200-200-2000022000022-2-20000-2-20000000000
χ312222-2-2222-2-22-2-2-2-2-20020020000-2-2000022220000-2-20000000000
χ322222-2-2222-2-22-2-2-2-2-200-200-20000220000-2-2220000220000000000
χ332222-2-222-22-2-2222-2-202002000-2-200002200-2200-2-2000000000000
χ342222-2-222-22-2-2222-2-20-200-2000220000-2-200-220022000000000000
χ352222-2-222-22-2-22-2-22202002000-2-20000-2-2002-20022000000000000
χ362222-2-222-22-2-22-2-2220-200-200022000022002-200-2-2000000000000
χ372222-2-2-2-22-22-2200000200-2000-22002i−2i002i−2i002i−2i00−2i2i0000000000
χ382222-2-2-2-22-22-2200000200-2000-2200−2i2i00−2i2i00−2i2i002i−2i0000000000
χ392222-2-2-2-22-22-2200000-20020002-2002i−2i00−2i2i002i−2i002i−2i0000000000
χ402222-2-2-2-22-22-2200000-20020002-200−2i2i002i−2i00−2i2i00−2i2i0000000000
χ412222-2-2-2-2-2222-2000000200-20000-222i−2i−2i2i0000−2i2i2i−2i000000000000
χ422222-2-2-2-2-2222-2000000200-20000-22−2i2i2i−2i00002i−2i−2i2i000000000000
χ432222-2-2-2-2-2222-2000000-200200002-22i−2i2i−2i0000−2i2i−2i2i000000000000
χ442222-2-2-2-2-2222-2000000-200200002-2−2i2i−2i2i00002i−2i2i−2i000000000000
χ4544-4-400-4400000004-4000000000000000000000000002i−2i2i−2i000000
χ4644-4-400-4400000004-400000000000000000000000000−2i2i−2i2i000000
χ4744-4-400-440000000-44000000000000000000000000002i−2i−2i2i000000
χ4844-4-400-440000000-4400000000000000000000000000−2i2i2i−2i000000
χ4988-8-8008-8000000000000000000000000000000000000000000000
χ508-88-80000000004i2−4i200000000000000000000000000000000000000
χ518-88-8000000000−4i24i200000000000000000000000000000000000000
χ528-8-888-800000000000000000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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