Finite Group Databasebeta

← Group #293594

Character table — Group #293594

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444444444444444444444444444448888888888888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111
χ91111111111111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-11
χ121111111111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-11
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-11
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1111-1
χ1722222222222-2-2-2-2222-2-2222222-2-2-2-2220000-2-2-2-20000000000000000000000000000
χ1822222222222-2-2-2-2222-2-222-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000
χ1922222222222-2-2-2-22-2-222-2-2222222-2-2-2-20000-2-2220000000000000000000000000000
χ2022222222222-2-2-2-22-2-222-2-2-2-2-2-222-2-222000022-2-20000000000000000000000000000
χ2122222222-2-2-22222-22222-2-20000-2-2-2-200222200000000000000000000-2-20000000000
χ2222222222-2-2-22222-22222-2-20000-2-2-2-200-2-2-2-200000000000000000000220000000000
χ2322222222-2-2-22222-2-2-2-2-222000022-2-20022-2-200000000000000000000-220000000000
χ2422222222-2-2-22222-2-2-2-2-222000022-2-200-2-222000000000000000000002-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-20000222200000000000000000000000000002-22-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-2000022220000000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-222220000-2-22200000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-222220000-2-2220000000000000000000000000000-222-2000000
χ2922-222-2-2-222-20000-22-2002-222-2-200002-20000000022−2−222−2−222−2−222−2−2000000000000
χ3022-222-2-2-222-20000-22-2002-222-2-200002-200000000−2−222−2−222−2−222−2−222000000000000
χ3122-222-2-2-222-20000-22-2002-2-2-2220000-220000000022−2−222−2−2−2−222−2−222000000000000
χ3222-222-2-2-222-20000-22-2002-2-2-2220000-2200000000−2−222−2−22222−2−222−2−2000000000000
χ3322-222-2-2-222-20000-2-2200-2222-2-20000-220000000022−2−2−2−22222−2−2−2−222000000000000
χ3422-222-2-2-222-20000-2-2200-2222-2-20000-2200000000−2−22222−2−2−2−22222−2−2000000000000
χ3522-222-2-2-222-20000-2-2200-22-2-22200002-20000000022−2−2−2−222−2−22222−2−2000000000000
χ3622-222-2-2-222-20000-2-2200-22-2-22200002-200000000−2−22222−2−222−2−2−2−222000000000000
χ372-222-2-22-22-2-200002002-2002i−2i2i−2i2-200000000002i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ382-222-2-22-22-2-200002002-2002i−2i2i−2i2-200000000002i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ392-222-2-22-22-2-200002002-200−2i2i−2i2i2-20000000000−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ402-222-2-22-22-2-200002002-200−2i2i−2i2i2-20000000000−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ412-222-2-22-22-2-20000200-22002i−2i2i−2i-220000000000−2i2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ422-222-2-22-22-2-20000200-22002i−2i2i−2i-220000000000−2i2i−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ432-222-2-22-22-2-20000200-2200−2i2i−2i2i-2200000000002i−2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ442-222-2-22-22-2-20000200-2200−2i2i−2i2i-2200000000002i−2i−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ452-2-22-22-222-222-22-2-20000002i−2i−2i2i002-20000002i−2i0000002-2-2200002i−2i−2i2i000000000000
χ462-2-22-22-222-222-22-2-20000002i−2i−2i2i002-20000002i−2i000000-222-20000−2i2i2i−2i000000000000
χ472-2-22-22-222-222-22-2-2000000−2i2i2i−2i002-2000000−2i2i0000002-2-220000−2i2i2i−2i000000000000
χ482-2-22-22-222-222-22-2-2000000−2i2i2i−2i002-2000000−2i2i000000-222-200002i−2i−2i2i000000000000
χ492-2-22-22-222-22-22-22-20000002i−2i−2i2i00-22000000−2i2i002-2-2200002i−2i−2i2i0000000000000000
χ502-2-22-22-222-22-22-22-20000002i−2i−2i2i00-22000000−2i2i00-222-20000−2i2i2i−2i0000000000000000
χ512-2-22-22-222-22-22-22-2000000−2i2i2i−2i00-220000002i−2i002-2-220000−2i2i2i−2i0000000000000000
χ522-2-22-22-222-22-22-22-2000000−2i2i2i−2i00-220000002i−2i00-222-200002i−2i−2i2i0000000000000000
χ53444-4-44-4-40004-4-44000000000000000004-40000000000000000000000000000000000
χ54444-4-44-4-40004-4-4400000000000000000-440000000000000000000000000000000000
χ55444-4-44-4-4000-444-400000000000000000004-400000000000000000000000000000000
χ56444-4-44-4-4000-444-40000000000000000000-4400000000000000000000000000000000
χ5744-444-4-4-4-4-44000044-400-440000000000000000000000000000000000000000000000
χ5844-444-4-4-4-4-4400004-44004-40000000000000000000000000000000000000000000000
χ594-444-4-44-4-4440000-4004-4000000-440000000000000000000000000000000000000000
χ604-444-4-44-4-4440000-400-440000004-40000000000000000000000000000000000000000
χ614-4-44-44-44-44-44-44-44000000000000-4400000000000000000000000000000000000000
χ624-4-44-44-44-44-4-44-4440000000000004-400000000000000000000000000000000000000
χ634-4-4-4444-400044-4-400000000000000000000000000000000000000000000000002i2−2i200
χ644-4-4-4444-400044-4-40000000000000000000000000000000000000000000000000−2i22i200
χ654-4-4-4444-4000-4-4440000000000000000000000000000000000000000000000022−220000
χ664-4-4-4444-4000-4-44400000000000000000000000000000000000000000000000−22220000
χ6788-8-8-8-888000000000000000000000000000000000000000000000000000000000000
χ688-88-88-8-88000000000000000000000000000000000000000000000000000000000000

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