Finite Group Databasebeta

← Group #492504

Character table — Group #492504

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444488888888888888888888816161616161616161632323232
order122244448888224888888161616162222244888816161616161616161616448888816162224
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111111111111111-1-11-1-1-1-111-1-1-1-1
χ3111111111111111111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1
χ4111111111111111111111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ5111111111111111-1-1-1-1111111-111111-111-1-1111111-1-1-1-111-1-1-1-1-1-1-11-11-1
χ6111111111111111-1-1-1-1111111-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1-11111-1-1-11-11
χ7111111111111111-1-1-1-111-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-11
χ8111111111111111-1-1-1-111-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-11111-11-111-1-111-111-1
χ9111111111111-1-111111111111-11111-1-1-1-11111-1-1-1-1111111-11111-1-1-1-1-1-1
χ10111111111111-1-111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-11111111-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-111
χ12111111111111-1-11111111-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-1-1111111-1-1
χ13111111111111-1-11-1-1-1-111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111-11-11
χ14111111111111-1-11-1-1-1-11111111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-11-1
χ15111111111111-1-11-1-1-1-111-1-1-1-1111-1-1-11-1-1-1-1-1-1111111111-11-1-111-1-1-111-1
χ16111111111111-1-11-1-1-1-111-1-1-1-11-1-111-11-1-1-1-1-1-111111111-11111-1-1-1-11-1-11
χ1722222222-2-2-2-22222222-2-200002000022-2-2-2-2000000000000-20000000000
χ1822222222-2-2-2-2222-2-2-2-2-2-20000-200002-2-2-22200000000000020000000000
χ1922222222-2-2-2-2-2-222222-2-20000-20000-2-222-2-200000000000020000000000
χ2022222222-2-2-2-2-2-22-2-2-2-2-2-2000020000-222222000000000000-20000000000
χ2122222-2-22222200-20000-2-2222202222000000-2-200000000-2-200000000000
χ2222222-2-22222200-20000-2-222220-2-2-2-2000000-2-2000000002200000000000
χ2322222-2-22222200-20000-2-2-2-2-2-2022-2-20000002200000000-2200000000000
χ2422222-2-22222200-20000-2-2-2-2-2-20-2-22200000022000000002-200000000000
χ252222-222-2000022-222-2-20022−2−220000-2-200002−222−2−222−2−200000002−20000
χ262222-222-2000022-222-2-200−2−22220000-2-20000−22−2−222−2−2220000000−220000
χ272222-222-2000022-2-2-2220022−2−2-20000-2200002−222−2−2−2−2220000000−220000
χ282222-222-2000022-2-2-22200−2−222-20000-220000−22−2−22222−2−200000002−20000
χ292222-222-20000-2-2-222-2-20022−2−2-200002200002−2−2−22222−2−20000000−220000
χ302222-222-20000-2-2-222-2-200−2−222-20000220000−2222−2−2−2−22200000002−20000
χ312222-222-20000-2-2-2-2-2220022−2−2200002-200002−2−2−222−2−22200000002−20000
χ322222-222-20000-2-2-2-2-22200−2−222200002-20000−2222−2−222−2−20000000−220000
χ332-2-22-2002-2-2220002−22−2002-22-202-22-200002−20000002−22−20002−22−2000000
χ342-2-22-2002-2-2220002−22−2002-22-20-22-2200002−20000002−22−2000−22−22000000
χ352-2-22-2002-2-2220002−22−200-22-2202-2-2200002−2000000−22−220002−2−22000000
χ362-2-22-2002-2-2220002−22−200-22-220-222-200002−2000000−22−22000−222−2000000
χ372-2-22-2002-2-222000−22−22002-22-202-22-20000−22000000−22−22000−22−22000000
χ382-2-22-2002-2-222000−22−22002-22-20-22-220000−22000000−22−220002−22−2000000
χ392-2-22-2002-2-222000−22−2200-22-2202-2-220000−220000002−22−2000−222−2000000
χ402-2-22-2002-2-222000−22−2200-22-220-222-20000−220000002−22−20002−2−22000000
χ4144444-4-44-4-4-4-400-400004400000000000000000000000000000000000000
χ424444-4-4-4-400000040000002222−22−2200000000000−2222000000000000000000000
χ434444-4-4-4-40000004000000−22−2222220000000000022−22000000000000000000000
χ444-44-404-4022−2222−22000000022−22000000000000000002ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ500000000000000000
χ454-44-404-4022−2222−22000000022−2200000000000000000−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ500000000000000000
χ464-44-404-40−2222−22220000000−2222000000000000000002ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ700000000000000000
χ474-44-404-40−2222−22220000000−222200000000000000000−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ700000000000000000
χ484-44-40-44022−2222−224-400000−22220000000000022−220000000000000000000000000
χ494-44-40-44022−2222−22-4400000−222200000000000−22220000000000000000000000000
χ504-44-40-440−2222−22224-40000022−2200000000000−22220000000000000000000000000
χ514-44-40-440−2222−2222-440000022−220000000000022−220000000000000000000000000
χ524-4-44400-4000000022−22−22220022−22−2222000000000000000002-2-220000000000000
χ534-4-44400-4000000022−22−222200−222222−2200000000000000000-222-20000000000000
χ544-4-44400-40000000−222222−220022−22−222200000000000000000-222-20000000000000
χ554-4-44400-40000000−222222−2200−222222−22000000000000000002-2-220000000000000
χ564-4-44-400444-4-400022−2222−22000000000000000−222200000000000000000000000
χ574-4-44-400444-4-4000−2222−222200000000000000022−2200000000000000000000000
χ5888-8-8000042−42−424200000000000000000000000000000000000000000000000
χ5988-8-80000−424242−4200000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1).