Finite Group Databasebeta

← Group #347451

Character table — Group #347451

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112244444444888888888888888888888888888161616161616161632323232
order12224424444444222224444444444444444444444448888882888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-11-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11-1
χ4111111111111111111-11-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11
χ5111111111111111-1-1-11-11111-11-1-1-1-11-1-1-1111-1-1-1-11111-1-111-1-1-11
χ6111111111111111-1-1-11-11111-11-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1111-1
χ7111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ8111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ91111111-1-111111-111-11-11-1-1-1-1111-1-1-111-11-1-111-1-111-1-1-1-1111-11-1
χ101111111-1-111111-111-11-11-1-1-1-1111-1-1-111-11-1-111-1-1-1-11111-1-1-11-11
χ111111111-1-111111-111-1-1-1-111-1-1-1-1-111-111-1-111-1-11111-1-1-1-1-1-1-1111
χ121111111-1-111111-111-1-1-1-111-1-1-1-1-111-111-1-111-1-111-1-11111111-1-1-1
χ131111111-1-111111-1-1-11111-1-1-111-1-111-1-1-111-1-1-1-11111-1-11111-11-1-1
χ141111111-1-111111-1-1-11111-1-1-111-1-111-1-1-111-1-1-1-111-1-111-1-1-1-11-111
χ151111111-1-111111-1-1-11-11-111-11-111-1-1-1-1-11-11111-1-111-1-111-1-11-1-11
χ161111111-1-111111-1-1-11-11-111-11-111-1-1-1-1-11-11111-1-1-1-111-1-111-111-1
χ172222222222-2-2-2-2200000000-200222-2-2000000-2-22-2000000000000
χ182222222222-2-2-2-2200000000-200-2-2-22-200000022-22000000000000
χ192222222-2-22-2-2-2-2-20000000020022-222000000-2-2-22000000000000
χ202222222-2-22-2-2-2-2-200000000200-2-22-22000000222-2000000000000
χ21222222-222-22-22-2-200020222-20-200002000-2-2-20000000000000000
χ22222222-222-22-22-2-2000-20-2-2-2-202000020002220000000000000000
χ23222222-222-2-22-22-2222020002-200000-2-2-2-20000000000000000000
χ24222222-222-2-22-22-2-2-2-20-20002200000-22220000000000000000000
χ25222222-2-2-2-22-22-22000202-2-220-20000-2000-2220000000000000000
χ26222222-2-2-2-22-22-22000-20-2222020000-20002-2-20000000000000000
χ27222222-2-2-2-2-22-22222-20-2000-22000002-2-220000000000000000000
χ28222222-2-2-2-2-22-222-2-2202000-2-200000222-20000000000000000000
χ292222-2-2200-222-2-202-2020-20000-22-20002-202002-200000000000000
χ302222-2-2200-222-2-202-20-20200002-220002-20-200-2200000000000000
χ312222-2-2200-222-2-20-22020-20000-2-22000-220200-2200000000000000
χ322222-2-2200-222-2-20-220-202000022-2000-220-2002-200000000000000
χ332222-2-2200-2-2-22200020-202-20202-200000-202-2-2200000000000000
χ342222-2-2200-2-2-22200020-20-22020-2200000-20-222-200000000000000
χ352222-2-2200-2-2-222000-20202-20-20-2200000202-22-200000000000000
χ362222-2-2200-2-2-222000-2020-220-202-20000020-22-2200000000000000
χ372222-2-2-20022-2-2200022-2-2000-22002-20002-20000-22000000000000
χ382222-2-2-20022-2-220002-2-22000-2-200-220002200002-2000000000000
χ392222-2-2-20022-2-22000-222-20002200-22000-2-200002-2000000000000
χ402222-2-2-20022-2-22000-2-2220002-2002-2000-220000-22000000000000
χ412222-2-2-2002-222-202-200002-200000220-2200-2200-2-2000000000000
χ422222-2-2-2002-222-202-20000-2200000-2-20-22002-20022000000000000
χ432222-2-2-2002-222-20-2200002-200000-2-202-200-220022000000000000
χ442222-2-2-2002-222-20-220000-22000002202-2002-200-2-2000000000000
χ4544-4-4-4404-4000000000000000000000000000000002i−2i2i−2i00000000
χ4644-4-4-4404-400000000000000000000000000000000−2i2i−2i2i00000000
χ4744-4-4-440-44000000000000000000000000000000002i−2i−2i2i00000000
χ4844-4-4-440-4400000000000000000000000000000000−2i2i2i−2i00000000
χ4988-8-88-800000000000000000000000000000000000000000000000
χ508-88-8000000000000000000000000000000000000000002i2−2i2000000
χ518-88-800000000000000000000000000000000000000000−2i22i2000000
χ528-8-88000000000000000000000000000000000000000000022−220000
χ538-8-880000000000000000000000000000000000000000000−22220000

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