Finite Group Databasebeta

← Group #264208

Character table — Group #264208

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444442222448888888822444444448888888888888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-11111-1-11-1
χ91111111111111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ101111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1111-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11-1-1-11111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1111-1
χ17222222222-2-222-2-222222-2-20000000022-2-2-2-2000022-2-2000000000000000000000000
χ18222222222-2-222-2-222222-2-200000000-2-2-2-2220000-2-222000000000000000000000000
χ19222222222-2-222-2-22-2-2-2-2-2-2000000002222-2-20000-2-222000000000000000000000000
χ20222222222-2-222-2-22-2-2-2-2-2-200000000-2-22222000022-2-2000000000000000000000000
χ2122222222-222-2-222-20000-2-22222-2-2-2-200000022220000000000000000-2-20000000000
χ2222222222-222-2-222-20000-2-22222-2-2-2-2000000-2-2-2-20000000000000000220000000000
χ2322222222-222-2-222-20000-2-2-2-2-2-2222200000022-2-20000000000000000-220000000000
χ2422222222-222-2-222-20000-2-2-2-2-2-22222000000-2-22200000000000000002-20000000000
χ252222-2-2-2-22002-200-222-2-20022−2−222−2−22-2000000002-20022−2−222−2−222−2−2000000000000
χ262222-2-2-2-22002-200-222-2-20022−2−222−2−2-2200000000-220022−2−2−2−222−2−222000000000000
χ272222-2-2-2-22002-200-222-2-200−2−222−2−2222-2000000002-200−2−222−2−222−2−222000000000000
χ282222-2-2-2-22002-200-222-2-200−2−222−2−222-2200000000-2200−2−22222−2−222−2−2000000000000
χ292222-2-2-2-22002-200-2-2-2220022−2−222−2−22-200000000-2200−2−22222−2−2−2−222000000000000
χ302222-2-2-2-22002-200-2-2-2220022−2−222−2−2-22000000002-200−2−222−2−22222−2−2000000000000
χ312222-2-2-2-22002-200-2-2-22200−2−222−2−2222-200000000-220022−2−2−2−22222−2−2000000000000
χ322222-2-2-2-22002-200-2-2-22200−2−222−2−222-22000000002-20022−2−222−2−2−2−222000000000000
χ332-2-2222-2-2-2002-20022-22-2002−22−22−22−200002i−2i0000002i−2i2−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ342-2-2222-2-2-2002-20022-22-2002−22−22−22−20000−2i2i000000−2i2i2−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ352-2-2222-2-2-2002-20022-22-200−22−22−22−2200002i−2i0000002i−2i−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ362-2-2222-2-2-2002-20022-22-200−22−22−22−220000−2i2i000000−2i2i−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ372-2-2222-2-2-2002-2002-22-22002−22−22−22−200002i−2i000000−2i2i−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ382-2-2222-2-2-2002-2002-22-22002−22−22−22−20000−2i2i0000002i−2i−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ392-2-2222-2-2-2002-2002-22-2200−22−22−22−2200002i−2i000000−2i2i2−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ402-2-2222-2-2-2002-2002-22-2200−22−22−22−220000−2i2i0000002i−2i2−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ412-2-22-2-2222-2-2-2-222200002-22-2-22-222-200000000000000000000000000002-22-2000000
χ422-2-22-2-2222-2-2-2-222200002-22-2-22-222-20000000000000000000000000000-22-22000000
χ432-2-22-2-2222-2-2-2-222200002-2-222-22-2-2200000000000000000000000000002-2-22000000
χ442-2-22-2-2222-2-2-2-222200002-2-222-22-2-220000000000000000000000000000-222-2000000
χ452-2-22-2-222-22222-2-2-22-2-222-200000000002-2000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ462-2-22-2-222-22222-2-2-22-2-222-200000000002-200000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ472-2-22-2-222-22222-2-2-2-222-22-20000000000-22000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ482-2-22-2-222-22222-2-2-2-222-22-20000000000-2200000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ492-2-22-2-222-2-2-22222-22-2-22-222-2-222-2-2200-2200000000002-2-2200000000000000000000
χ502-2-22-2-222-2-2-22222-22-2-22-22-222-2-222-200-220000000000-222-200000000000000000000
χ512-2-22-2-222-2-2-22222-2-222-2-222-2-222-2-22002-20000000000-222-200000000000000000000
χ522-2-22-2-222-2-2-22222-2-222-2-22-222-2-222-2002-200000000002-2-2200000000000000000000
χ5344444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000000
χ544444-4-4-4-4-400-440040000002222−22−22−22−22222200000000000000000000000000000000000000
χ554444-4-4-4-4-400-44004000000−22−2222222222−22−2200000000000000000000000000000000000000
χ5644-4-44-4-4404-4004-4000000000000000000000004-40000000000000000000000000000
χ5744-4-44-4-4404-4004-400000000000000000000000-440000000000000000000000000000
χ5844-4-44-4-440-4400-44000000000000000000000000000000000000000000000000022−2200
χ5944-4-44-4-440-4400-440000000000000000000000000000000000000000000000000−222200
χ604-44-4-44-4404-400-440000000000000000000000000000000000000000000000022−220000
χ614-44-4-44-4404-400-4400000000000000000000000000000000000000000000000−22220000
χ624-44-4-44-440-44004-40000000000000000000004-4000000000000000000000000000000
χ634-44-4-44-440-44004-4000000000000000000000-44000000000000000000000000000000
χ644-4-4444-4-4400-4400-400000022−2222−22−2222−222200000000000000000000000000000000000000
χ654-4-4444-4-4400-4400-4000000−2222−222222−2222−2200000000000000000000000000000000000000
χ664-4-44-4-444444-4-4-4-440000-440000000000000000000000000000000000000000000000
χ6788-8-8-888-8000000000000000000000000000000000000000000000000000000000000
χ688-88-88-88-8000000000000000000000000000000000000000000000000000000000000

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