Finite Group Databasebeta

← Group #501019

Character table — Group #501019

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222244444488882248888888822444444888161616161616161622244488881616161644
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111
χ511111111111111111111111-1-1-1-11111-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1111111
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ91111111-1-11111111-1-1-111-1-111-1-1111111-1-1-11-11111-1-1-1-1-111-1-1-111-1-111-1-11-1
χ101111111-1-11111111-1-1-111-1-111-1-1111111-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-11
χ111111111-1-11111111-1-1-111-1-111-1-1-1-1-1-111-1-1-11-11111-1-1-1-11-1-1111-1-11111-1-1-11
χ121111111-1-11111111-1-1-111-1-111-1-1-1-1-1-111-1-1-11-1-1-1-1-111111111-1-1-1-111-1-1111-1
χ131111111-1-11111111-1-1-111-1-1-1-1111111-1-111-1-111111-1-1-1-1-111-1-1-1-1-111-1-111-11
χ141111111-1-11111111-1-1-111-1-1-1-1111111-1-111-1-11-1-1-1-11111-1-1-1-111-1-11111-1-11-1
χ151111111-1-11111111-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111111-1-1-1-11-1-111111-1-1-1-1111-1
χ161111111-1-11111111-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-111111111-1-111-1-111-1-1-11
χ17222222222222-2-2-2-2222-2-2-2-222220000-2-2-2-2-222000000000000000000000000
χ18222222222222-2-2-2-2222-2-2-2-2-2-2-2-200002222-2-2-2000000000000000000000000
χ192222222-2-2222-2-2-2-2-2-2-2-2-22222-2-20000-2-22222-2000000000000000000000000
χ202222222-2-2222-2-2-2-2-2-2-2-2-222-2-222000022-2-22-22000000000000000000000000
χ212222-2-22222-2-222222-2-2-2-222000022-2-20000-20000000000-2002000000000000
χ222222-2-22222-2-222222-2-2-2-2220000-2-2220000-20000000000200-2000000000000
χ232222-2-22222-2-2-2-2-2-22-2-222-2-2000000000000200000000000000002i−2i2i−2i000000
χ242222-2-22222-2-2-2-2-2-22-2-222-2-200000000000020000000000000000−2i2i−2i2i000000
χ252222-2-22-2-22-2-22222-222-2-2-2-2000022-2-2000020000000000200-2000000000000
χ262222-2-22-2-22-2-22222-222-2-2-2-20000-2-222000020000000000-2002000000000000
χ272222-2-22-2-22-2-2-2-2-2-2-2222222000000000000-200000000000000002i−2i−2i2i000000
χ282222-2-22-2-22-2-2-2-2-2-2-2222222000000000000-20000000000000000−2i2i2i−2i000000
χ292222-2-2-222-2220000-22-200002222000000000-2-222−2−222−2−200000000002−22−200
χ302222-2-2-222-2220000-22-200002222000000000-2-2−2−222−2−2220000000000−22−2200
χ312222-2-2-222-2220000-22-20000-2-2-2-20000000002222−2−222−2−20000000000−22−2200
χ322222-2-2-222-2220000-22-20000-2-2-2-200000000022−2−222−2−22200000000002−22−200
χ332222-2-2-2-2-2-22200002-22000022-2-2000000000-2222−2−2−2−22200000000002−2−2200
χ342222-2-2-2-2-2-22200002-22000022-2-2000000000-22−2−22222−2−20000000000−222−200
χ352222-2-2-2-2-2-22200002-220000-2-2220000000002-222−2−2−2−2220000000000−222−200
χ362222-2-2-2-2-2-22200002-220000-2-2220000000002-2−2−22222−2−200000000002−2−2200
χ372-2-222-2-20022-2-2-2220002-20000002-22-2000000000002-22-200002-20000000000
χ382-2-222-2-20022-2-2-2220002-20000002-22-200000000000-22-220000-220000000000
χ392-2-222-2-20022-2-2-2220002-2000000-22-22000000000002-22-20000-220000000000
χ402-2-222-2-20022-2-2-2220002-2000000-22-2200000000000-22-2200002-20000000000
χ412-2-22-22-2002-22-2-222000-220000002-2-2200000002-22-2000002-20000000000000
χ422-2-22-22-2002-22-2-222000-220000002-2-220000000-22-2200000-220000000000000
χ432-2-22-22-2002-22-2-222000-22000000-222-200000002-22-200000-220000000000000
χ442-2-22-22-2002-22-2-222000-22000000-222-20000000-22-22000002-20000000000000
χ45444444-444-4-4-40000-4-440000000000000000000000000000000000000000000
χ46444444-4-4-4-4-4-4000044-40000000000000000000000000000000000000000000
χ474-44-40004i−4i00022−2222−22000002i2−2i222−222i2−2i200002-22i−2i000000000000000000000000000
χ484-44-40004i−4i00022−2222−22000002i2−2i2−2222−2i22i20000-22−2i2i000000000000000000000000000
χ494-44-40004i−4i000−2222−222200000−2i22i222−222i2−2i20000-22−2i2i000000000000000000000000000
χ504-44-40004i−4i000−2222−222200000−2i22i2−2222−2i22i200002-22i−2i000000000000000000000000000
χ514-44-4000−4i4i00022−2222−2200000−2i22i222−22−2i22i200002-2−2i2i000000000000000000000000000
χ524-44-4000−4i4i00022−2222−2200000−2i22i2−22222i2−2i20000-222i−2i000000000000000000000000000
χ534-44-4000−4i4i000−2222−2222000002i2−2i222−22−2i22i20000-222i−2i000000000000000000000000000
χ544-44-4000−4i4i000−2222−2222000002i2−2i2−22222i2−2i200002-2−2i2i000000000000000000000000000
χ554-4-444-4400-4-440000000000000000000000000022−22−222200000000000000000000
χ564-4-444-4400-4-4400000000000000000000000000−222222−2200000000000000000000
χ574-4-444-4-40044-444-4-4000-4400000000000000000000000000000000000000000
χ584-4-44-44400-44-400000000000000000000000000000022−22−22220000000000000000
χ594-4-44-44400-44-4000000000000000000000000000000−222222−220000000000000000
χ604-4-44-44-4004-4444-4-40004-400000000000000000000000000000000000000000
χ6188-8-80000000042−42−42420000000000000000000000000000000000000000000000
χ6288-8-800000000−424242−420000000000000000000000000000000000000000000000

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