Finite Group Databasebeta

← Group #511752

Character table — Group #511752

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order1222222244444422222444448888222222224444444488888816161616161616164444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ91111-1-111111-1-11-111-1-1-111-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11-11-1
χ101111-1-111111-1-11-111-1-1-111-1-1111111-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-11-11
χ111111-1-111111-1-11-111-1-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-11-11
χ121111-1-111111-1-11-111-1-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1111-11-1
χ131111-1-111111-1-11-1-1-111-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11
χ141111-1-111111-1-11-1-1-111-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-111-1
χ151111-1-111111-1-11-1-1-111-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-111-1
χ161111-1-111111-1-11-1-1-111-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11-1-11
χ17222222222222222222222222-2-2-2-20000000000000000-2-2-2-2-2-2000000000000
χ18222222222222222-2-2-2-22-2-2-2-2-2-2-2-20000000000000000-2-22222000000000000
χ1922222222-2-2-2-2-2-222222-2-2-2-2-2000000000000000000000000002−22−22−22−20000
χ2022222222-2-2-2-2-2-222222-2-2-2-2-200000000000000000000000000−22−22−22−220000
χ2122222222-2-2-2-2-2-22-2-2-2-2-22222000000000000000000000000002−22−2−22−220000
χ2222222222-2-2-2-2-2-22-2-2-2-2-2222200000000000000000000000000−22−222−22−20000
χ23222222-2-22-2-2-2-22-200002000022-2-2000022220000-2-2-2-22-20000000000000000
χ24222222-2-22-2-2-2-22-200002000022-2-20000-2-2-2-2000022222-20000000000000000
χ25222222-2-22-2-2-2-22-2000020000-2-22222220000-2-2-2-20000-220000000000000000
χ26222222-2-22-2-2-2-22-2000020000-2-222-2-2-2-2000022220000-220000000000000000
χ272222-2-222222-2-22-222-2-2-222-2-2-2-2-2-2000000000000000022-2-222000000000000
χ282222-2-222222-2-22-2-2-222-2-2-222-2-2-2-200000000000000002222-2-2000000000000
χ292222-2-222-2-2-222-2-222-2-22-2-222000000000000000000000000002−2−222−2−220000
χ302222-2-222-2-2-222-2-222-2-22-2-22200000000000000000000000000−222−2−222−20000
χ312222-2-222-2-2-222-2-2-2-222222-2-2000000000000000000000000002−2−22−222−20000
χ322222-2-222-2-2-222-2-2-2-222222-2-200000000000000000000000000−222−22−2−220000
χ332222-2-2-2-22-2-222220000-2000022-2-2000022-2-20000-2-222-220000000000000000
χ342222-2-2-2-22-2-222220000-2000022-2-20000-2-222000022-2-2-220000000000000000
χ352222-2-2-2-22-2-222220000-20000-2-22222-2-20000-2-22200002-20000000000000000
χ362222-2-2-2-22-2-222220000-20000-2-222-2-222000022-2-200002-20000000000000000
χ372-2-22002-2-22-20020002-20002-22-22-2002-22-200002-22-20000002-2000000000000
χ382-2-22002-2-22-20020002-20002-22-22-200-22-220000-22-220000002-2000000000000
χ392-2-22002-2-22-20020002-20002-2-22-222-200002-22-200002-20000-22000000000000
χ402-2-22002-2-22-20020002-20002-2-22-22-220000-22-220000-220000-22000000000000
χ412-2-22002-2-22-2002000-22000-222-22-2002-2-2200002-2-22000000-22000000000000
χ422-2-22002-2-22-2002000-22000-222-22-200-222-20000-222-2000000-22000000000000
χ432-2-22002-2-22-2002000-22000-22-22-222-20000-222-20000-2200002-2000000000000
χ442-2-22002-2-22-2002000-22000-22-22-22-2200002-2-2200002-200002-2000000000000
χ452-2-2200-22-2-2200202-20002-2002-2-222-2002-200-2200-2200002-200000000000000
χ462-2-2200-22-2-2200202-20002-2002-2-22-2200-22002-2002-200002-200000000000000
χ472-2-2200-22-2-2200202-20002-200-222-2002-2002-200-2200-2200-2200000000000000
χ482-2-2200-22-2-2200202-20002-200-222-200-2200-22002-2002-200-2200000000000000
χ492-2-2200-22-2-220020-22000-22002-2-222-200-2200-22002-20000-2200000000000000
χ502-2-2200-22-2-220020-22000-22002-2-22-22002-2002-200-220000-2200000000000000
χ512-2-2200-22-2-220020-22000-2200-222-2002-200-2200-22002-2002-200000000000000
χ522-2-2200-22-2-220020-22000-2200-222-200-22002-2002-200-22002-200000000000000
χ53444444-4-4-44444-4-40000-4000000000000000000000000000000000000000000
χ544444-4-4-4-4-444-4-4-4400004000000000000000000000000000000000000000000
χ554-4-44004-44-4400-40004-4000-4400000000000000000000000000000000000000
χ564-4-44004-44-4400-4000-440004-400000000000000000000000000000000000000
χ574-4-4400-4444-400-404-4000-440000000000000000000000000000000000000000
χ584-4-4400-4444-400-40-440004-40000000000000000000000000000000000000000
χ5988-8-88-800000000000000000000000000000000000000000000000000000000
χ6088-8-8-8800000000000000000000000000000000000000000000000000000000
χ618-88-800000008i−8i0000000000000000000000000000000000000000000000000
χ628-88-80000000−8i8i0000000000000000000000000000000000000000000000000

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