Finite Group Databasebeta

← Group #265255

Character table — Group #265255

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order12222222224444224444888888884444444444888888888888222244444444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1
χ911111111111111-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-11-11-1
χ1011111111111111-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-11-11-11
χ1111111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-11-11-11-1-11-11
χ1211111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-11-11-111-11-1
χ1311111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-111-1-111-1-11
χ1411111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-111-1-111-1
χ1511111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-111-1-11-111-1
χ1611111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-111-1-111-11-1-11
χ172222222222-2-2-2-222-2-22200000000-2-222-2-222-2-2000000000000000000000000
χ182222222222-2-2-2-222-2-22200000000-2-2-2-222-2-222000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-20000000022-2-22222-2-2000000000000000000000000
χ2122222-2-2-22-22-2-22002-2002222-2-2-2-2000000000000000000000002020-20-20000
χ2222222-2-2-22-22-2-22002-2002222-2-2-2-200000000000000000000000-20-202020000
χ2322222-2-2-22-22-2-22002-200-2-2-2-222220000000000000000000000020-20-2020000
χ2422222-2-2-22-22-2-22002-200-2-2-2-2222200000000000000000000000-202020-20000
χ252222-22-2-2-222-2-2200-220022-2-222-2-200000000000000000000002020-20-200000
χ262222-22-2-2-222-2-2200-220022-2-222-2-20000000000000000000000-20-2020200000
χ272222-22-2-2-222-2-2200-2200-2-222-2-222000000000000000000000020-20-20200000
χ282222-22-2-2-222-2-2200-2200-2-222-2-2220000000000000000000000-202020-200000
χ292222-2-222-2-2222222-2-2-2-222-2-2-2-2222-200000000-2-20000220000000000000000
χ302222-2-222-2-2222222-2-2-2-2-2-22222-2-22-200000000220000-2-20000000000000000
χ312222-2-222-2-22222-2-2-2-22222-2-2-2-222-2200000000220000-2-20000000000000000
χ322222-2-222-2-22222-2-2-2-222-2-22222-2-2-2200000000-2-20000220000000000000000
χ332222-2-222-2-2-2-2-2-22222-2-200000000-2200000000002i2i−2i−2i002i2i−2i−2i000000000000
χ342222-2-222-2-2-2-2-2-22222-2-200000000-220000000000−2i−2i2i2i00−2i−2i2i2i000000000000
χ352222-2-222-2-2-2-2-2-2-2-22222000000002-200000000002i2i−2i−2i00−2i−2i2i2i000000000000
χ362222-2-222-2-2-2-2-2-2-2-22222000000002-20000000000−2i−2i2i2i002i2i−2i−2i000000000000
χ372-2-22222-2-2-200002-2002-22−22−22−22−2002i−2i002i−2i002−2i2−i2i2−i22−2i2−i2i2−i2000000000000
χ382-2-22222-2-2-200002-2002-22−22−22−22−200−2i2i00−2i2i002−2−i2i2−i2i22−2−i2i2−i2i2000000000000
χ392-2-22222-2-2-200002-2002-2−22−22−22−22002i−2i002i−2i00−22−i2i2−i2i2−22−i2i2−i2i2000000000000
χ402-2-22222-2-2-200002-2002-2−22−22−22−2200−2i2i00−2i2i00−22i2−i2i2−i2−22i2−i2i2−i2000000000000
χ412-2-22222-2-2-20000-2200-222−22−22−22−2002i−2i00−2i2i00−22−i2i2−i2i2−22i2−i2i2−i2000000000000
χ422-2-22222-2-2-20000-2200-222−22−22−22−200−2i2i002i−2i00−22i2−i2i2−i2−22−i2i2−i2i2000000000000
χ432-2-22222-2-2-20000-2200-22−22−22−22−22002i−2i00−2i2i002−2i2−i2i2−i22−2−i2i2−i2i2000000000000
χ442-2-22222-2-2-20000-2200-22−22−22−22−2200−2i2i002i−2i002−2−i2i2−i2i22−2i2−i2i2−i2000000000000
χ452-2-22-2-22-22200002-200-222−2−22−222−200002-2002-2−222−2−222−22−2−22000000000000
χ462-2-22-2-22-22200002-200-222−2−22−222−20000-2200-22−22−222−22−2−222−2000000000000
χ472-2-22-2-22-22200002-200-22−222−22−2−2200002-2002-22−2−222−2−22−222−2000000000000
χ482-2-22-2-22-22200002-200-22−222−22−2−220000-2200-222−22−2−22−222−2−22000000000000
χ492-2-22-2-22-2220000-22002-22−2−22−222−200002-200-222−2−222−2−222−2−22000000000000
χ502-2-22-2-22-2220000-22002-22−2−22−222−20000-22002-22−22−2−22−22−222−2000000000000
χ512-2-22-2-22-2220000-22002-2−222−22−2−2200002-200-22−222−2−222−2−222−2000000000000
χ522-2-22-2-22-2220000-22002-2−222−22−2−220000-22002-2−22−222−22−22−2−22000000000000
χ5344444-4-4-44-4-444-400-4400000000000000000000000000000000000000000000
χ544444-44-4-4-44-444-4004-400000000000000000000000000000000000000000000
χ554-4-444-4-44-44000000000022−2222−22−2222−22220000000000000000000000000000000000
χ564-4-444-4-44-440000000000−2222−222222−2222−220000000000000000000000000000000000
χ574-4-44-44-444-4000000000022−22−222222−22−22220000000000000000000000000000000000
χ584-4-44-44-444-40000000000−222222−22−222222−220000000000000000000000000000000000
χ5988-8-800000008i−8i0000000000000000000000000000000000000000000000000
χ6088-8-80000000−8i8i0000000000000000000000000000000000000000000000000
χ618-88-8000000800-8000000000000000000000000000000000000000000000000
χ628-88-8000000-8008000000000000000000000000000000000000000000000000

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