Finite Group Databasebeta

← Group #347477

Character table — Group #347477

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112244444444888888888888888888888888888161616161616161632323232
order12224424444444222222244444444444444444444448888884888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1
χ4111111111111111111-1-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11
χ5111111111111111-1-1-111-11-111-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111-1-1-111-11-111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-11
χ8111111111111111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ91111111-1-111111-111-111-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111
χ101111111-1-111111-111-111-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1
χ111111111-1-111111-111-1-1-11-1-1-1-1-1-11-111-1-11111-1-11111-1-1-1-1111-11-1
χ121111111-1-111111-111-1-1-11-1-1-1-1-1-11-111-1-11111-1-111-1-11111-1-1-11-11
χ131111111-1-111111-1-1-11111-1111-1-11-1-1-111-1-1-1-1-1-11111-1-11111-11-1-1
χ141111111-1-111111-1-1-11111-1111-1-11-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11-111
χ151111111-1-111111-1-1-11-1-1-1-11-1-111-1-1-1-111111111-1-111-1-111-1-11-1-11
χ161111111-1-111111-1-1-11-1-1-1-11-1-111-1-1-1-111111111-1-1-1-111-1-111-111-1
χ172222222222-2-2-2-2-20002-20-202-20002000022-2-20000000000000000
χ182222222222-2-2-2-2-2000-220-20-2200020000-2-2220000000000000000
χ192222222-2-22-2-2-2-220002-20202-2000-20000-2-2220000000000000000
χ202222222-2-22-2-2-2-22000-22020-22000-2000022-2-20000000000000000
χ21222222-222-222-2-2222-2000-2-200000-2-2-22200000000000000000000
χ22222222-222-222-2-22-2-22000-2200000-222-2-200000000000000000000
χ23222222-222-2-2-222-20000022000-2-22-20000000022-2-2000000000000
χ24222222-222-2-2-222-200000-2200022-2-200000000-2-222000000000000
χ25222222-2-2-2-222-2-2-222200022000002-2-2-2-200000000000000000000
χ26222222-2-2-2-222-2-2-2-2-2-20002-2000002222200000000000000000000
χ27222222-2-2-2-2-2-2222000002-2000222200000000-2-2-2-2000000000000
χ28222222-2-2-2-2-2-222200000-2-2000-2-2-22000000002222000000000000
χ292222-2-2200-22-22-200020000-2002-200002-22-22-22-200000000000000
χ302222-2-2200-22-22-200020000-200-2200002-2-22-22-2200000000000000
χ312222-2-2200-22-22-2000-200002002-20000-22-22-222-200000000000000
χ322222-2-2200-22-22-2000-20000200-220000-222-22-2-2200000000000000
χ332222-2-2200-2-22-2202-20002000000-202-2002-2-22002-2000000000000
χ342222-2-2200-2-22-2202-2000-2000000202-200-222-200-22000000000000
χ352222-2-2200-2-22-220-220002000000-20-2200-222-2002-2000000000000
χ362222-2-2200-2-22-220-22000-200000020-22002-2-2200-22000000000000
χ372222-2-2-20022-2-2200022-220-2-2200-2000-22000000-22000000000000
χ382222-2-2-20022-2-220002-22-20-22-2002000-220000002-2000000000000
χ392222-2-2-20022-2-22000-22-2-202-220020002-20000002-2000000000000
χ402222-2-2-20022-2-22000-2-222022-200-20002-2000000-22000000000000
χ412222-2-2-2002-222-202-2022000-2-22-200-22000000-2200000000000000
χ422222-2-2-2002-222-202-20-2-200022-2200-220000002-200000000000000
χ432222-2-2-2002-222-20-22022000-2-2-22002-20000002-200000000000000
χ442222-2-2-2002-222-20-220-2-2000222-2002-2000000-2200000000000000
χ4544-4-4-4404i−4i000000000000000000000000000000002-22i−2i00000000
χ4644-4-4-4404i−4i00000000000000000000000000000000-22−2i2i00000000
χ4744-4-4-440−4i4i000000000000000000000000000000002-2−2i2i00000000
χ4844-4-4-440−4i4i00000000000000000000000000000000-222i−2i00000000
χ4988-8-88-800000000000000000000000000000000000000000000000
χ508-88-800000000000000000000000000000000000000000002i2−2i20000
χ518-88-80000000000000000000000000000000000000000000−2i22i20000
χ528-8-88000000000000000000000000000000000000000002i2−2i2000000
χ538-8-8800000000000000000000000000000000000000000−2i22i2000000

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