Finite Group Databasebeta

← Group #282575

Character table — Group #282575

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444442222444444888888884444444488888888888888882444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111
χ5111111111111111111111-1-1-1-111111111111-1-111-1-11111-1-1-1-111111111-11-1-1-1-1-1-1-1-111-1
χ6111111111111111111111-1-1-1-111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ7111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-11111-1-111-1
χ91111111111111111-1-1-1-111111111111111-1-111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ111111111111111111-1-1-1-1111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-1111111-1-1-1
χ131111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-11111-1-11111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1111111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11
χ172222222222-22-2-2-220000-22222-20000222200-2-2002200-2-2000000000000-2000000000000
χ182222222222-22-2-2-220000-22222-20000-2-2-2-200-2-200-2-200220000000000002000000000000
χ192222222222-22-2-2-220000-2-2-2-2-2-200002222002200-2-200-2-20000000000002000000000000
χ202222222222-22-2-2-220000-2-2-2-2-2-20000-2-2-2-2002200220022000000000000-2000000000000
χ2122222222-2-22-2222-22222-20000-222220000-2-2002200-2-2000000000000000-200000000000
χ2222222222-2-22-2222-22222-20000-2-2-2-2-20000-2-200-2-20022000000000000000200000000000
χ2322222222-2-22-2222-2-2-2-2-2-20000-2222200002200-2-200-2-2000000000000000200000000000
χ2422222222-2-22-2222-2-2-2-2-2-20000-2-2-2-2-200002200220022000000000000000-200000000000
χ252-22-22-2-22222-2-2-22-222-2-222i2i−2i−2i-2000000002-22i−2i00000000000000000000002i−2i000000000
χ262-22-22-2-22222-2-2-22-222-2-22−2i−2i2i2i-2000000002-2−2i2i0000000000000000000000−2i2i000000000
χ272-22-22-2-22222-2-2-22-2-2-22222i2i−2i−2i-200000000-222i−2i0000000000000000000000−2i2i000000000
χ282-22-22-2-22222-2-2-22-2-2-2222−2i−2i2i2i-200000000-22−2i2i00000000000000000000002i−2i000000000
χ292-22-22-2-2222-2-222-2-20000-22i2i−2i−2i20000000000−2i2i0000000000002i2i−2i−2i00000000002-200000
χ302-22-22-2-2222-2-222-2-20000-22i2i−2i−2i20000000000−2i2i000000000000−2i−2i2i2i0000000000-2200000
χ312-22-22-2-2222-2-222-2-20000-2−2i−2i2i2i200000000002i−2i0000000000002i2i−2i−2i0000000000-2200000
χ322-22-22-2-2222-2-222-2-20000-2−2i−2i2i2i200000000002i−2i000000000000−2i−2i2i2i00000000002-200000
χ332-22-22-2-22-2-222-2-22222-2-2-20000200000000-22000000000022-2-20000000000002-20000000
χ342-22-22-2-22-2-222-2-22222-2-2-20000200000000-220000000000-2-222000000000000-220000000
χ352-22-22-2-22-2-222-2-222-2-222-200002000000002-2000000000022-2-2000000000000-220000000
χ362-22-22-2-22-2-222-2-222-2-222-200002000000002-20000000000-2-2220000000000002-20000000
χ372-2-2222-2-22-20-20002000002i−2i2i−2i022−2−222-2-20000002i−2i2−200i2−i2i2−i2000022−2−200000000i2−i2000
χ382-2-2222-2-22-20-20002000002i−2i2i−2i022−2−2-2-222000000−2i2i2−200i2−i2i2−i20000−2−22200000000−i2i2000
χ392-2-2222-2-22-20-20002000002i−2i2i−2i0−2−22222-2-20000002i−2i−2200−i2i2−i2i20000−2−22200000000−i2i2000
χ402-2-2222-2-22-20-20002000002i−2i2i−2i0−2−222-2-222000000−2i2i−2200−i2i2−i2i2000022−2−200000000i2−i2000
χ412-2-2222-2-22-20-2000200000−2i2i−2i2i022−2−222-2-2000000−2i2i2−200−i2i2−i2i2000022−2−200000000−i2i2000
χ422-2-2222-2-22-20-2000200000−2i2i−2i2i022−2−2-2-2220000002i−2i2−200−i2i2−i2i20000−2−22200000000i2−i2000
χ432-2-2222-2-22-20-2000200000−2i2i−2i2i0−2−22222-2-2000000−2i2i−2200i2−i2i2−i20000−2−22200000000i2−i2000
χ442-2-2222-2-22-20-2000200000−2i2i−2i2i0−2−222-2-2220000002i−2i−2200i2−i2i2−i2000022−2−200000000−i2i2000
χ452-2-2-2-222200-202-2202-22-20000002-22-22−22−200002-200002−200002−22−22−22−200000000002−20
χ462-2-2-2-222200-202-2202-22-20000002-22-2−22−2200002-20000−220000−22−22−22−220000000000−220
χ472-2-2-2-222200-202-2202-22-2000000-22-222−22−20000-2200002−200002−22−2−22−220000000000−220
χ482-2-2-2-222200-202-2202-22-2000000-22-22−22−220000-220000−220000−22−222−22−200000000002−20
χ492-2-2-2-222200-202-220-22-220000002-22-22−22−20000-2200002−20000−22−222−22−20000000000−220
χ502-2-2-2-222200-202-220-22-220000002-22-2−22−220000-220000−2200002−22−2−22−2200000000002−20
χ512-2-2-2-222200-202-220-22-22000000-22-222−22−200002-200002−20000−22−22−22−2200000000002−20
χ522-2-2-2-222200-202-220-22-22000000-22-22−22−2200002-20000−2200002−22−22−22−20000000000−220
χ5344444444-4-4-4-4-4-4-4-40000400004000000000000000000000000000000000000000000000
χ54444-4-44-4-400000000000000000022−22−222222−22−2222000000000000000000002-2-220000000000000
χ55444-4-44-4-400000000000000000022−22−2222−222222−2200000000000000000000-222-20000000000000
χ56444-4-44-4-4000000000000000000−222222−2222−22−222200000000000000000000-222-20000000000000
χ57444-4-44-4-4000000000000000000−222222−22−222222−22000000000000000000002-2-220000000000000
χ5844-44-4-4-4400404-4-4000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ5944-44-4-4-4400404-4-400000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ6044-44-4-4-4400-40-44404-4-44000000000000000000000000000000000000000000000000000
χ6144-44-4-4-4400-40-4440-444-4000000000000000000000000000000000000000000000000000
χ6244-4-44-44-44-404000-4000004-4-440000000000000000000000000000000000000000000000
χ6344-4-44-44-44-404000-400000-444-40000000000000000000000000000000000000000000000
χ6444-4-44-44-4-440-400040000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ6544-4-44-44-4-440-40004000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ664-44-44-4-44-4-4-4444-44000040000-4000000000000000000000000000000000000000000000
χ674-4-4444-4-4-4404000-400000000002222−22−22000000000000−2222000000000000000000000000000
χ684-4-4444-4-4-4404000-40000000000−22−22222200000000000022−22000000000000000000000000000
χ694-4-4-4-44440040-44-400000000000000022−2222−220000000000−22220000000000000000000000000
χ704-4-4-4-44440040-44-4000000000000000−2222−2222000000000022−220000000000000000000000000
χ718-888-8-88-8000000000000000000000000000000000000000000000000000000000000000

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