Finite Group Databasebeta

← Group #271920

Character table — Group #271920

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11112222222244444444444444444448888888888888888888888161616161616161616323232
order12222244444422224444444444488884444448888888888888888222444888488
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-1-1
χ4111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ511111111111111-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-11-1
χ611111111111111-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1111-11
χ711111111111111-1-111111111-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-11-1-11-1-11-11
χ811111111111111-1-111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-111-11-1
χ9111111111111-1-1111-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11
χ10111111111111-1-1111-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1
χ11111111111111-1-1111-1-11-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111-1
χ12111111111111-1-1111-1-11-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-11
χ13111111111111-1-1-1-11-1-11-1-1-1-1-1-111111-1-11111-1-1-1-111111111-1-1-1-1-111-1111-1-11-1-1
χ14111111111111-1-1-1-11-1-11-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-111-1-1-1-11-1-11-1-1-111-111
χ15111111111111-1-1-1-11-1-11-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111-1-11111-111-1-1-11-1-1-111
χ16111111111111-1-1-1-11-1-11-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1111-1-1
χ1722222222-22-222222-2-2-2-2-2-22222-20000-2-2-2-2220000000000000000000000000000
χ1822222222-22-2222-2-2-2-2-2-2-2-222-2-2-200002222-2-20000000000000000000000000000
χ1922222222-22-22-2-222-222-222-2-222-20000-2-222-2-20000000000000000000000000000
χ2022222222-22-22-2-2-2-2-222-222-2-2-2-2-2000022-2-2220000000000000000000000000000
χ212222-2-22-2222-20022-200-20000-2-2222222-2000022-2-2000000-2-20000000000000000
χ222222-2-22-2222-20022-200-20000-2-22-2-2-2-22-20000-2-222000000220000000000000000
χ232222-2-22-2222-200-2-2-200-200002222222-220000-2-222000000-2-20000000000000000
χ242222-2-22-2222-200-2-2-200-20000222-2-2-2-2-22000022-2-2000000220000000000000000
χ252222-2-22-2-22-2-2002220020000-2-2-20000-22000000002i2i−2i−2i00002i2i−2i−2i000000000000
χ262222-2-22-2-22-2-2002220020000-2-2-20000-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000
χ272222-2-22-2-22-2-200-2-22002000022-200002-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000
χ282222-2-22-2-22-2-200-2-22002000022-200002-200000000−2i−2i2i2i00002i2i−2i−2i000000000000
χ292222-2-2-222-2222200-2222-2-2-2-200-200000000000000000022000000-200200-200000
χ302222-2-2-222-2222200-2222-2-2-2-200-2000000000000000000-2-2000000200-200200000
χ312222-2-2-222-222-2-200-2-2-22222200-200000000000000000022000000200-200-200000
χ322222-2-2-222-222-2-200-2-2-22222200-2000000000000000000-2-2000000-200200200000
χ332222-2-2-22-2-2-2222002-2-2-222-2-20020000000000000000000000000002-200002-2000
χ342222-2-2-22-2-2-2222002-2-2-222-2-2002000000000000000000000000000-220000-22000
χ352222-2-2-22-2-2-22-2-200222-2-2-2220020000000000000000000000000002-20000-22000
χ362222-2-2-22-2-2-22-2-200222-2-2-222002000000000000000000000000000-2200002-2000
χ372-2-222-2-22020-2002-202i−2i02i−2i002-2022−2−2002i−2i002−22−2i2−i2i2−i2002−2i2−i2i2−i2000000000000
χ382-2-222-2-22020-2002-202i−2i02i−2i002-20−2−222002i−2i00−22−22−i2i2−i2i200−22−i2i2−i2i2000000000000
χ392-2-222-2-22020-2002-20−2i2i0−2i2i002-2022−2−200−2i2i002−22−2−i2i2−i2i2002−2−i2i2−i2i2000000000000
χ402-2-222-2-22020-2002-20−2i2i0−2i2i002-20−2−22200−2i2i00−22−22i2−i2i2−i200−22i2−i2i2−i2000000000000
χ412-2-222-2-22020-200-2202i−2i02i−2i00-22022−2−200−2i2i00−22−22−i2i2−i2i2002−2i2−i2i2−i2000000000000
χ422-2-222-2-22020-200-2202i−2i02i−2i00-220−2−22200−2i2i002−22−2i2−i2i2−i200−22−i2i2−i2i2000000000000
χ432-2-222-2-22020-200-220−2i2i0−2i2i00-22022−2−2002i−2i00−22−22i2−i2i2−i2002−2−i2i2−i2i2000000000000
χ442-2-222-2-22020-200-220−2i2i0−2i2i00-220−2−222002i−2i002−22−2−i2i2−i2i200−22i2−i2i2−i2000000000000
χ452-2-22-22-2-202022-22-20000002-2-22022−2−200002-22−2−222−2−2200−222−2−22000000000000
χ462-2-22-22-2-202022-22-20000002-2-220−2−22200002-2−222−2−222−2002−2−222−2000000000000
χ472-2-22-22-2-202022-2-220000002-22-2022−2−20000-22−222−2−222−200−222−2−22000000000000
χ482-2-22-22-2-202022-2-220000002-22-20−2−2220000-222−2−222−2−22002−2−222−2000000000000
χ492-2-22-22-2-20202-222-2000000-22-22022−2−20000-222−2−22−222−200−22−222−2000000000000
χ502-2-22-22-2-20202-222-2000000-22-220−2−2220000-22−222−22−2−22002−22−2−22000000000000
χ512-2-22-22-2-20202-22-22000000-222-2022−2−200002-2−222−22−2−2200−22−222−2000000000000
χ522-2-22-22-2-20202-22-22000000-222-20−2−22200002-22−2−22−222−2002−22−2−22000000000000
χ53444444-4-44-44-40000400-4000000-400000000000000000000000000000000000000
χ54444444-4-4-4-4-4-40000-4004000000400000000000000000000000000000000000000
χ5544-4-40000-40400000000000000002i2−2i22i2−2i2000000000000002i2−2i200000000002-2000000
χ5644-4-40000-40400000000000000002i2−2i22i2−2i200000000000000−2i22i20000000000-22000000
χ5744-4-40000-4040000000000000000−2i22i2−2i22i2000000000000002i2−2i20000000000-22000000
χ5844-4-40000-4040000000000000000−2i22i2−2i22i200000000000000−2i22i200000000002-2000000
χ594-4-444-44-40-4044-400000000-4400000000000000000000000000000000000000000
χ604-4-444-44-40-404-44000000004-400000000000000000000000000000000000000000
χ614-4-44-44440-40-4000004i−4i0−4i4i0000000000000000000000000000000000000000000
χ624-4-44-44440-40-400000−4i4i04i−4i0000000000000000000000000000000000000000000
χ6388-8-8000080-8000000000000000000000000000000000000000000000000000000
χ648-88-8000000000000000000000004i−4i−4i4i0000000000000000000000000000000000
χ658-88-800000000000000000000000−4i4i4i−4i0000000000000000000000000000000000

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