Finite Group Databasebeta

← Group #347124

Character table — Group #347124

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444448888888888888888888888888816161616161616161616323232
order12222244224444444222224444444444444444444444444448888488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-111111-1-1
χ411111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ5111111111111-1-11111-1-1111-11111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111
χ6111111111111-1-11111-1-1111-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1
χ7111111111111-1-11111-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-11-1-1
χ8111111111111-1-11111-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-11111-111
χ91111111111-1-111111-1-1-11-1-1111-1-111-1-1-111-1-11-111-1-11111-1-111-1-1-11-1
χ101111111111-1-111111-1-1-11-1-1111-1-111-1-1-111-1-11-111-1-1-1-1-1-111-1-1111-11
χ111111111111-1-111111-1-1-1-11-11-1-111-1-111-111-1-1-11-1-11111-1-11111-1-1-1-11
χ121111111111-1-111111-1-1-1-11-11-1-111-1-111-111-1-1-11-1-111-1-111-1-1-1-11111-1
χ131111111111-1-1-1-1111-1111-1-1-111-1-1-1-111-1-1-1111-1-1-11111-1-111-1-111-11-1
χ141111111111-1-1-1-1111-1111-1-1-111-1-1-1-111-1-1-1111-1-1-111-1-111-1-111-1-11-11
χ151111111111-1-1-1-1111-111-11-1-1-1-11111-1-1-1-1-111-1111-1-11111-1-1-1-111-1-11
χ161111111111-1-1-1-1111-111-11-1-1-1-11111-1-1-1-1-111-1111-1-1-1-1-1-11111-1-111-1
χ1722222222-2-222222-2-2-22200-22000000002-2-2-2-20000000000000000000
χ1822222222-2-222-2-22-2-2-2-2-200-2-200000000222220000000000000000000
χ1922222222-2-2-2-2222-2-22-2-2002200000000-2-2-2220000000000000000000
χ2022222222-2-2-2-2-2-22-2-2222002-200000000-222-2-20000000000000000000
χ21222222-2-2222200-2-2-220000-2000002-22-2-20000002-22-20000000000000
χ22222222-2-2222200-2-2-220000-200000-22-22-2000000-22-220000000000000
χ23222222-2-222-2-200-2-2-2-200002000002-2-2220000002-2-220000000000000
χ24222222-2-222-2-200-2-2-2-20000200000-222-22000000-222-20000000000000
χ25222222-2-2-2-22200-222-20022202-22-20000-20000-2-200000000000000000
χ26222222-2-2-2-22200-222-200-2-220-22-220000-200002200000000000000000
χ27222222-2-2-2-2-2-200-2222002-2-202-2-22000020000-2200000000000000000
χ28222222-2-2-2-2-2-200-222200-22-20-222-20000200002-200000000000000000
χ292222-2-2222-20022-22-2000020-200-2200-2-202-2000-200220000000000000
χ302222-2-2222-20022-22-20000-20-2002-2002202-2000200-2-20000000000000
χ312222-2-2222-200-2-2-22-2000020200-2200220-22000-200-2-20000000000000
χ322222-2-2222-200-2-2-22-20000-202002-200-2-20-22000200220000000000000
χ332222-2-222-220022-2-22000200-2-2200-2-2000-2200-2022000000000000000
χ342222-2-222-220022-2-22000-200-22-20022000-220020-2-2000000000000000
χ352222-2-222-2200-2-2-2-220002002-2200220002-200-20-2-2000000000000000
χ362222-2-222-2200-2-2-2-22000-20022-200-2-20002-2002022000000000000000
χ372222-2-2-2-22-200002-2202-22000-2-200002-20002-22000-220000000000000
χ382222-2-2-2-22-200002-2202-2-2000220000-220002-2-20002-20000000000000
χ392222-2-2-2-22-200002-220-222000-2-20000-22000-2220002-20000000000000
χ402222-2-2-2-22-200002-220-22-20002200002-2000-22-2000-220000000000000
χ412222-2-2-2-2-22000022-202-2020000-2-22-200000-2202-22000000000000000
χ422222-2-2-2-2-22000022-202-20-2000022-2200000-220-22-2000000000000000
χ432222-2-2-2-2-22000022-20-22020000-2-2-22000002-2022-2000000000000000
χ442222-2-2-2-2-22000022-20-220-20000222-2000002-20-2-22000000000000000
χ4544-4-400-4400004i−4i000000000000000000000000000002i−2i00002-200000
χ4644-4-400-4400004i−4i00000000000000000000000000000−2i2i0000-2200000
χ4744-4-400-440000−4i4i000000000000000000000000000002i−2i0000-2200000
χ4844-4-400-440000−4i4i00000000000000000000000000000−2i2i00002-200000
χ494-44-4-4400004-40000000000000000000000000000000002i−2i2i−2i0000000
χ504-44-4-4400004-4000000000000000000000000000000000−2i2i−2i2i0000000
χ514-44-4-440000-440000000000000000000000000000000002i−2i−2i2i0000000
χ524-44-4-440000-44000000000000000000000000000000000−2i2i2i−2i0000000
χ5388-8-8008-8000000000000000000000000000000000000000000000000
χ548-88-88-800000000000000000000000000000000000000000000000000
χ558-8-88000000000000000000000000000000000000000000000002i2−2i2000
χ568-8-8800000000000000000000000000000000000000000000000−2i22i2000

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