Finite Group Databasebeta

← Group #392721

Character table — Group #392721

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size112222222222222224444444444444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222244444444222222222222444444444444888888888888888888888888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ911111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ1211111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ1411111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ17111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-11-11-1i−ii−ii−ii−i
χ18111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-11-11−ii−ii−ii−ii
χ19111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1−ii−ii−ii−ii
χ20111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11i−ii−ii−ii−i
χ21111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-11-1-11-11i−ii−i−ii−ii
χ22111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-11-111-11-1−ii−iii−ii−i
χ23111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-11-1-11-11−ii−iii−ii−i
χ24111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-11-111-11-1i−ii−i−ii−ii
χ25111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-111-1-11i−i−iii−i−ii
χ26111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-111-1-111-1−iii−i−iii−i
χ27111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-111-1-11−iii−i−iii−i
χ28111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-111-1i−i−iii−i−ii
χ29111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1-1-11-111-1i−i−ii−iii−i
χ30111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-111-11-1-11−iii−ii−i−ii
χ31111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1-1-11-111-1−iii−ii−i−ii
χ32111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-111-11-1-11i−i−ii−iii−i
χ332222-2-22-2-222-222-2-2-200000000222200000000-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ342222-2-22-2-222-222-2-2-200000000222200000000-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ352222-2-22-2-222-222-2-2-200000000-2-2-2-2000000002222000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ362222-2-22-2-222-222-2-2-200000000-2-2-2-200000000222200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ372222-2-22-2-2-2-22-2-22220000000022-2-200000000-2-2220000000022-2-2-2-22222-2-2-2-222000000000000000000000000
χ382222-2-22-2-2-2-22-2-22220000000022-2-200000000-2-22200000000-2-22222-2-2-2-22222-2-2000000000000000000000000
χ392222-2-22-2-2-2-22-2-222200000000-2-2220000000022-2-20000000022-2-2-2-222-2-22222-2-2000000000000000000000000
χ402222-2-22-2-2-2-22-2-222200000000-2-2220000000022-2-200000000-2-22222-2-222-2-2-2-222000000000000000000000000
χ41222-22-2-22-22-222-22-2-20000222200000000-2-2-2-20000000000002i−2i2i−2i2i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ42222-22-2-22-22-222-22-2-20000222200000000-2-2-2-2000000000000−2i2i−2i2i−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ43222-22-2-22-22-222-22-2-20000-2-2-2-20000000022220000000000002i−2i2i−2i2i−2i2i−2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ44222-22-2-22-22-222-22-2-20000-2-2-2-2000000002222000000000000−2i2i−2i2i−2i2i−2i2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ45222-22-2-22-2-22-2-22-222000022-2-200000000-2-2220000000000002-22-2-22-220000000022-2-2-2-2220000000000000000
χ46222-22-2-22-2-22-2-22-222000022-2-200000000-2-222000000000000-22-222-22-200000000-2-22222-2-20000000000000000
χ47222-22-2-22-2-22-2-22-2220000-2-2220000000022-2-20000000000002-22-2-22-2200000000-2-22222-2-20000000000000000
χ48222-22-2-22-2-22-2-22-2220000-2-2220000000022-2-2000000000000-22-222-22-20000000022-2-2-2-2220000000000000000
χ49222-2-22-2-222-2-22-2-22222-2-200000000-2-2220000000022-2-222-2-22-2-222-2-2200000000000000000000000000000000
χ50222-2-22-2-222-2-22-2-22222-2-200000000-2-22200000000-2-222-2-222-222-2-222-200000000000000000000000000000000
χ51222-2-22-2-222-2-22-2-222-2-2220000000022-2-20000000022-2-222-2-2-222-2-222-200000000000000000000000000000000
χ52222-2-22-2-222-2-22-2-222-2-2220000000022-2-200000000-2-222-2-2222-2-222-2-2200000000000000000000000000000000
χ53222-2-22-2-22-222-222-2-2222200000000-2-2-2-2000000002i2i−2i−2i−2i−2i2i2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ54222-2-22-2-22-222-222-2-2222200000000-2-2-2-200000000−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ55222-2-22-2-22-222-222-2-2-2-2-2-2000000002222000000002i2i−2i−2i−2i−2i2i2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ56222-2-22-2-22-222-222-2-2-2-2-2-200000000222200000000−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ5722-222-2-2-222-2-2-222-222-22-2000000002-22-20000000000000000000000002-22-22-22-22-22-22-22-20000000000000000
χ5822-222-2-2-222-2-2-222-222-22-2000000002-22-2000000000000000000000000-22-22-22-22-22-22-22-220000000000000000
χ5922-222-2-2-222-2-2-222-22-22-2200000000-22-220000000000000000000000002-22-22-22-2-22-22-22-220000000000000000
χ6022-222-2-2-222-2-2-222-22-22-2200000000-22-22000000000000000000000000-22-22-22-222-22-22-22-20000000000000000
χ6122-222-2-2-22-2222-2-22-22-2-22000000002-2-220000000000000000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000
χ6222-222-2-2-22-2222-2-22-22-2-22000000002-2-22000000000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000
χ6322-222-2-2-22-2222-2-22-2-222-200000000-222-20000000000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000
χ6422-222-2-2-22-2222-2-22-2-222-200000000-222-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000
χ6522-22-22-22-22-22-22-22-200002-22-2000000002-22-200002i−2i2i−2i2i−2i2i−2i000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ6622-22-22-22-22-22-22-22-200002-22-2000000002-22-20000−2i2i−2i2i−2i2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ6722-22-22-22-22-22-22-22-20000-22-2200000000-22-2200002i−2i2i−2i2i−2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ6822-22-22-22-22-22-22-22-20000-22-2200000000-22-220000−2i2i−2i2i−2i2i−2i2i000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ6922-22-22-22-2-22-22-22-2200002-2-22000000002-2-2200002-22-2-22-22000000002-2-22-222-2000000000000000000000000
χ7022-22-22-22-2-22-22-22-2200002-2-22000000002-2-220000-22-222-22-200000000-222-22-2-22000000000000000000000000
χ7122-22-22-22-2-22-22-22-220000-222-200000000-222-200002-22-2-22-2200000000-222-22-2-22000000000000000000000000
χ7222-22-22-22-2-22-22-22-220000-222-200000000-222-20000-22-222-22-2000000002-2-22-222-2000000000000000000000000
χ7322-2-2222-2-222-2-2-222-2000000002-22-2000000002-22-22i−2i−2i2i2i−2i−2i2i00000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ7422-2-2222-2-222-2-2-222-2000000002-22-2000000002-22-2−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ7522-2-2222-2-222-2-2-222-200000000-22-2200000000-22-222i−2i−2i2i2i−2i−2i2i0000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ7622-2-2222-2-222-2-2-222-200000000-22-2200000000-22-22−2i2i2i−2i−2i2i2i−2i00000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ7722-2-2222-2-2-2-2222-2-22000000002-2-22000000002-2-222-2-22-222-200000000000000002-2-22-222-20000000000000000
χ7822-2-2222-2-2-2-2222-2-22000000002-2-22000000002-2-22-222-22-2-220000000000000000-222-22-2-220000000000000000
χ7922-2-2222-2-2-2-2222-2-2200000000-222-200000000-222-22-2-22-222-20000000000000000-222-22-2-220000000000000000
χ8022-2-2222-2-2-2-2222-2-2200000000-222-200000000-222-2-222-22-2-2200000000000000002-2-22-222-20000000000000000
χ8122-2-2-2-2222222-2-2-2-222-2-222-22-22-22-2-222-2-22-22-22-22000000000000000000000000000000000000000000000000
χ8222-2-2-2-2222222-2-2-2-222-2-22-22-22-22-22-222-22-22-22-22-2000000000000000000000000000000000000000000000000
χ8322-2-2-2-2222222-2-2-2-22-222-22-22-2-22-222-2-22-22-222-22-2000000000000000000000000000000000000000000000000
χ8422-2-2-2-2222222-2-2-2-22-222-2-22-222-22-22-2-222-22-2-22-22000000000000000000000000000000000000000000000000
χ8522-2-2-2-2222-2-2-22222-22-22-22-2-222-2-22-22-22-222-2-222-2000000000000000000000000000000000000000000000000
χ8622-2-2-2-2222-2-2-22222-22-22-2-222-2-222-2-22-222-2-222-2-22000000000000000000000000000000000000000000000000
χ8722-2-2-2-2222-2-2-22222-2-22-222-2-22-222-22-22-2-222-22-2-22000000000000000000000000000000000000000000000000
χ8822-2-2-2-2222-2-2-22222-2-22-22-222-22-2-222-22-22-2-22-222-2000000000000000000000000000000000000000000000000
χ8916-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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