Finite Group Databasebeta

← Group #258339

Character table — Group #258339

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422222244444888888888888888844444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-11-1-111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1
χ91111111111111-1-1-1-11111-1-1-1-111111-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-1-111-1-111-1-1
χ101111111111111-1-1-1-11111-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11-11111-1-1-1-111
χ111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1111111-11-1-1-1-111-1-111
χ121111111111111-1-1-1-11111-1-1-1-111111-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1111-1-11111-1-1
χ131111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-111
χ141111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1-1-1-11111-1-1
χ151111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-111111-1-111-1-1
χ161111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1-111-1-1-1-111111111-1-1-1-111-11-1-111-1-1-1-111
χ1722222222222-2-22222-2-22-222-2-20000-2002222-20000000000000000000000-2-20000000000
χ1822222222222-2-22222-2-22-222-2-20000-200-2-2-2-2-20000000000000000000000220000000000
χ1922222222222-2-2-2-2-2-2-2-22-2-2-2220000-20022-2-220000000000000000000000-220000000000
χ2022222222222-2-2-2-2-2-2-2-22-2-2-2220000-200-2-222200000000000000000000002-20000000000
χ2122222222-2-2-222222222-2-2-2-2222222-2220000-2-2-2-2-2000000000000000000000000000000
χ2222222222-2-2-222222222-2-2-2-222-2-2-2-2-2-2-20000-22222000000000000000000000000000000
χ2322222222-2-2-222-2-2-2-222-2-222-2-22222-2-2-200002-2-222000000000000000000000000000000
χ2422222222-2-2-222-2-2-2-222-2-222-2-2-2-2-2-2-2220000222-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-22222-2-2-22-2-2-2-2000020000002000000000000000000000000002-22-20000
χ2622222222-2-2-2-2-22222-2-2-22-2-2-2-200002000000200000000000000000000000000-22-220000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222200002000000-2000000000000000000000000002-2-220000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222200002000000-200000000000000000000000000-222-20000
χ2922-22-2-22-222-22-200002-2-2-200002i2i−2i−2i200000002i−2i0022-2-20000000000002i−2i000000000000
χ3022-22-2-22-222-22-200002-2-2-200002i2i−2i−2i200000002i−2i00-2-222000000000000−2i2i000000000000
χ3122-22-2-22-222-22-200002-2-2-20000−2i−2i2i2i20000000−2i2i0022-2-2000000000000−2i2i000000000000
χ3222-22-2-22-222-22-200002-2-2-20000−2i−2i2i2i20000000−2i2i00-2-2220000000000002i−2i000000000000
χ3322-22-2-22-2-2-222-200002-22200002i2i−2i−2i-20000000−2i2i0000002i2i−2i−2i0000000000002-200000000
χ3422-22-2-22-2-2-222-200002-22200002i2i−2i−2i-20000000−2i2i000000−2i−2i2i2i000000000000-2200000000
χ3522-22-2-22-2-2-222-200002-2220000−2i−2i2i2i-200000002i−2i0000002i2i−2i−2i000000000000-2200000000
χ3622-22-2-22-2-2-222-200002-2220000−2i−2i2i2i-200000002i−2i000000−2i−2i2i2i0000000000002-200000000
χ372-2-222-2-222-220022-2-200-202-20000000002-22-200000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i200000000000000
χ382-2-222-2-222-220022-2-200-202-20000000002-22-200000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i200000000000000
χ392-2-222-2-222-220022-2-200-202-2000000000-22-2200000i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i200000000000000
χ402-2-222-2-222-220022-2-200-202-2000000000-22-2200000−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i200000000000000
χ412-2-222-2-222-2200-2-22200-20-220000000002-2-2200000i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i200000000000000
χ422-2-222-2-222-2200-2-22200-20-220000000002-2-2200000−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i200000000000000
χ432-2-222-2-222-2200-2-22200-20-22000000000-222-200000i2−i2i2−i2−i2i2−i2i2−i2−i2i2i2i2i2−i2−i200000000000000
χ442-2-222-2-222-2200-2-22200-20-22000000000-222-200000−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2−i2−i2i2i200000000000000
χ452-2-2-2-2222000-2-22-22-22200002-22-22-202-2000000000000000002−22−22−22−200000000002−22−2
χ462-2-2-2-2222000-2-22-22-22200002-22-22-202-200000000000000000−22−22−22−220000000000−22−22
χ472-2-2-2-2222000-2-22-22-22200002-2-22-220-22000000000000000002−22−22−22−20000000000−22−22
χ482-2-2-2-2222000-2-22-22-22200002-2-22-220-2200000000000000000−22−22−22−2200000000002−22−2
χ492-2-2-2-2222000-2-2-22-22220000-222-22-20-22000000000000000002−22−2−22−2200000000002−2−22
χ502-2-2-2-2222000-2-2-22-22220000-222-22-20-2200000000000000000−22−222−22−20000000000−222−2
χ512-2-2-2-2222000-2-2-22-22220000-22-22-2202-2000000000000000002−22−2−22−220000000000−222−2
χ522-2-2-2-2222000-2-2-22-22220000-22-22-2202-200000000000000000−22−222−22−200000000002−2−22
χ53444-4-4-4-44000004-4-44000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ54444-4-4-4-44000004-4-4400000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ55444-4-4-4-4400000-444-4000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ56444-4-4-4-4400000-444-400000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ5744-44-4-44-444-4-440000-44-4400000000-400000000000000000000000000000000000000000
χ5844-44-4-44-4-4-44-440000-444-400000000400000000000000000000000000000000000000000
χ594-444-44-4-44-4-40000000040000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ604-444-44-4-44-4-4000000004000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ614-444-44-4-4-44400000000-4000000000000000000000000022−22−22220000000000000000000000
χ624-444-44-4-4-44400000000-40000000000000000000000000−222222−220000000000000000000000
χ634-44-44-44-40004-40000-44000000000000000000004i−4i000000000000000000000000000000
χ644-44-44-44-40004-40000-4400000000000000000000−4i4i000000000000000000000000000000
χ654-44-44-44-4000-4400004-40000004i−4i−4i4i000000000000000000000000000000000000000000
χ664-44-44-44-4000-4400004-4000000−4i4i4i−4i000000000000000000000000000000000000000000
χ674-4-444-4-44-44-40044-4-40040-44000000000000000000000000000000000000000000000000
χ684-4-444-4-44-44-400-4-44400404-4000000000000000000000000000000000000000000000000
χ694-4-4-4-4444000444-44-4-4-40000-440000000000000000000000000000000000000000000000
χ704-4-4-4-444400044-44-44-4-400004-40000000000000000000000000000000000000000000000
χ7188-8-888-8-8000000000000000000000000000000000000000000000000000000000000000

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