Finite Group Databasebeta

← Group #503151

Character table — Group #503151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222444444488888888888888888888888881616161616161616161616163232
order122222444444888844488882222224481616161616161616161616161616161622444488888822
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ3111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111
χ511111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1
χ9111111-1-111111111-1-1-1-1-11111111-11-1-11111-1-1-1-11111-1-1-1-11-1-1-11-111-1-11-11-1
χ10111111-1-111111111-1-1-1-1-11111111-11-1-1-1-1-1-11111-1-1-1-111111-1-1-11-1-1-1111-1-11
χ11111111-1-111111111-1-1-1-1-1111111-11-11-11111-1-1-1-1-1-1-1-11111-11-1-1-1111-1-1-11-11
χ12111111-1-111111111-1-1-1-1-1111111-11-11-1-1-1-1-111111111-1-1-1-1-11-1-1-11-1-111-111-1
χ13111111-1-111111111-1-1-1-1-111-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1-1111-11-1-1111-1-11
χ14111111-1-111111111-1-1-1-1-111-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-11111-1111-1111-1-11-11-1
χ15111111-1-111111111-1-1-1-1-111-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-111111-1111-1-1-111-111-1
χ16111111-1-111111111-1-1-1-1-111-1-1-1-1-11-11-1-1-1-1-111111111-1-1-1-11-1111-111-1-1-11-11
χ17222222222222-2-2-2-2222-2-2-2-200002222-200000000000000000000000000-2-200
χ18222222222222-2-2-2-2222-2-2-2-20000-2-2-2-2-2000000000000000000000000002200
χ19222222-2-22222-2-2-2-2-2-2-222-2-200002-22-2200000000000000000000000000-2200
χ20222222-2-22222-2-2-2-2-2-2-222-2-20000-22-222000000000000000000000000002-200
χ212222-2-2222-2-2222222-2-222-2-200000000-200000000000000002200-2-200000000
χ222222-2-2222-2-2222222-2-222-2-200000000-20000000000000000-2-2002200000000
χ232222-2-2222-2-22-2-2-2-22-2-2-2-22222-2-2000020000000000000000002-20000000000
χ242222-2-2222-2-22-2-2-2-22-2-2-2-222-2-22200002000000000000000000-220000000000
χ252222-2-222-222-20000-22-20000000022-2-2022−2−222−2−222−2−222−2−200000000000000
χ262222-2-222-222-20000-22-20000000022-2-20−2−222−2−222−2−222−2−22200000000000000
χ272222-2-222-222-20000-22-200000000-2-222022−2−222−2−2−2−222−2−22200000000000000
χ282222-2-222-222-20000-22-200000000-2-2220−2−222−2−22222−2−222−2−200000000000000
χ292222-2-2-2-22-2-222222-222-2-2-2-200000000200000000000000002-200-2200000000
χ302222-2-2-2-22-2-222222-222-2-2-2-20000000020000000000000000-22002-200000000
χ312222-2-2-2-22-2-22-2-2-2-2-222222222-2-20000-2000000000000000000-220000000000
χ322222-2-2-2-22-2-22-2-2-2-2-2222222-2-2220000-20000000000000000002-20000000000
χ332222-2-2-2-2-222-200002-22000000002-2-22022−2−2−2−22222−2−2−2−22200000000000000
χ342222-2-2-2-2-222-200002-22000000002-2-220−2−22222−2−2−2−22222−2−200000000000000
χ352222-2-2-2-2-222-200002-2200000000-222-2022−2−2−2−222−2−22222−2−200000000000000
χ362222-2-2-2-2-222-200002-2200000000-222-20−2−22222−2−222−2−2−2−22200000000000000
χ372-2-222-200-22-2222-2-200000-222-22-20000000002-22-200000000000000002-20000
χ382-2-222-200-22-2222-2-200000-222-22-2000000000-22-220000000000000000-220000
χ392-2-222-200-22-2222-2-200000-22-22-220000000002-22-20000000000000000-220000
χ402-2-222-200-22-2222-2-200000-22-22-22000000000-22-2200000000000000002-20000
χ412-2-22-2200-2-222-2-22200000-222-2-22000002-22-20000000000000000002-2000000
χ422-2-22-2200-2-222-2-22200000-222-2-2200000-22-22000000000000000000-22000000
χ432-2-22-2200-2-222-2-22200000-22-222-2000002-22-2000000000000000000-22000000
χ442-2-22-2200-2-222-2-22200000-22-222-200000-22-220000000000000000002-2000000
χ4544444444-4-4-4-40000-4-440000000000000000000000000000000000000000000
χ46444444-4-4-4-4-4-4000044-40000000000000000000000000000000000000000000
χ474-44-4004-4000022−2222−2200022−220000000000000000000ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ700000000000000
χ484-44-4004-4000022−2222−2200022−220000000000000000000−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ700000000000000
χ494-44-4004-40000−2222−2222000−22220000000000000000000ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ700000000000000
χ504-44-4004-40000−2222−2222000−22220000000000000000000−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ700000000000000
χ514-44-400-44000022−2222−22000−22220000000000000000000ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ700000000000000
χ524-44-400-44000022−2222−22000−22220000000000000000000−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ700000000000000
χ534-44-400-440000−2222−222200022−220000000000000000000ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ700000000000000
χ544-44-400-440000−2222−222200022−220000000000000000000−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ700000000000000
χ554-4-444-4004-44-40000000000000000000022−22−222200000000000000000000000000
χ564-4-444-4004-44-400000000000000000000−222222−2200000000000000000000000000
χ574-4-444-400-44-44-4-444000004-4000000000000000000000000000000000000000
χ584-4-44-440044-4-400000000000000000000000022−22−22220000000000000000000000
χ594-4-44-440044-4-4000000000000000000000000−222222−220000000000000000000000
χ604-4-44-4400-4-44444-4-4000004-4000000000000000000000000000000000000000
χ6188-8-80000000042−42−42420000000000000000000000000000000000000000000000
χ6288-8-800000000−424242−420000000000000000000000000000000000000000000000

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