Finite Group Databasebeta

← Group #280144

Character table — Group #280144

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-111-1
χ91111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ101111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-11-1-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111111-111-1-111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111111-1-11111-1-1-1
χ172222222222-2-22-2-222222-2-2000000000022-2-200220000-2-20000-200000000000000
χ182222222222-2-22-2-222222-2-20000000000-2-2-2-200-2-20000220000200000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-20000000000222200-2-20000220000-200000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000000000-2-22200220000-2-20000200000000000000
χ2122222222-2-222-222-20000-2-2222222-2-2-2-20000-2-2000000000000020000000000000
χ2222222222-2-222-222-20000-2-22222-2-222220000-2-20000000000000-20000000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-222-2-2220000220000000000000-20000000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-2-2-222-2-2000022000000000000020000000000000
χ2522-2-22-2-222200-200-22i2i−2i−2i0022−2−20000002i−2i002−22-2i2i2−i2−i20022−2−200000000i2−i200000
χ2622-2-22-2-222200-200-22i2i−2i−2i0022−2−2000000−2i2i002−2-22i2i2−i2−i200−2−22200000000−i2i200000
χ2722-2-22-2-222200-200-22i2i−2i−2i00−2−2220000002i−2i00−222-2−i2−i2i2i200−2−22200000000−i2i200000
χ2822-2-22-2-222200-200-22i2i−2i−2i00−2−222000000−2i2i00−22-22−i2−i2i2i20022−2−200000000i2−i200000
χ2922-2-22-2-222200-200-2−2i−2i2i2i0022−2−20000002i−2i002−2-22−i2−i2i2i200−2−22200000000i2−i200000
χ3022-2-22-2-222200-200-2−2i−2i2i2i0022−2−2000000−2i2i002−22-2−i2−i2i2i20022−2−200000000−i2i200000
χ3122-2-22-2-222200-200-2−2i−2i2i2i00−2−2220000002i−2i00−22-22i2i2−i2−i20022−2−200000000−i2i200000
χ3222-2-22-2-222200-200-2−2i−2i2i2i00−2−222000000−2i2i00−222-2i2i2−i2−i200−2−22200000000i2−i200000
χ332-2-2-2222-22-2222-2-2-22i−2i2i−2i-2200002-22-200002i−2i0000000000000000002i−2i000000000
χ342-2-2-2222-22-2222-2-2-22i−2i2i−2i-220000-22-2200002i−2i000000000000000000−2i2i000000000
χ352-2-2-2222-22-2222-2-2-2−2i2i−2i2i-2200002-22-20000−2i2i000000000000000000−2i2i000000000
χ362-2-2-2222-22-2222-2-2-2−2i2i−2i2i-220000-22-220000−2i2i0000000000000000002i−2i000000000
χ372-2-2-2222-22-2-2-2222-22i−2i2i−2i2-2000000000000−2i2i00000000000000002-2000000002i−2i0
χ382-2-2-2222-22-2-2-2222-22i−2i2i−2i2-2000000000000−2i2i0000000000000000-2200000000−2i2i0
χ392-2-2-2222-22-2-2-2222-2−2i2i−2i2i2-20000000000002i−2i00000000000000002-200000000−2i2i0
χ402-2-2-2222-22-2-2-2222-2−2i2i−2i2i2-20000000000002i−2i0000000000000000-22000000002i−2i0
χ412-2-2-2222-2-2222-2-2-2200002-200002-2-2200000000002i−2i2i−2i0000000000002i−2i0000000
χ422-2-2-2222-2-2222-2-2-2200002-200002-2-220000000000−2i2i−2i2i000000000000−2i2i0000000
χ432-2-2-2222-2-2222-2-2-2200002-20000-222-200000000002i−2i2i−2i000000000000−2i2i0000000
χ442-2-2-2222-2-2222-2-2-2200002-20000-222-20000000000−2i2i−2i2i0000000000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-4004-404-4000000000000000000000000000000022−2222−22000000000000000
χ47444-4-4-44-4004-404-40000000000000000000000000000000−2222−2222000000000000000
χ48444-4-4-44-400-440-4400000004-44-4000000000000000000000000000000000000000
χ49444-4-4-44-400-440-440000000-44-44000000000000000000000000000000000000000
χ5044-44-44-4-40000000000000022−22−222200000000000000000022−222-2-22000000000000000
χ5144-44-44-4-40000000000000022−22−2222000000000000000000−2222-222-2000000000000000
χ5244-44-44-4-400000000000000−222222−2200000000000000000022−22-222-2000000000000000
χ5344-44-44-4-400000000000000−222222−22000000000000000000−22222-2-22000000000000000
χ5444-4-44-4-44-4-40040040000002222−22−220000000000−2222000000000000000000000000000
χ5544-4-44-4-44-4-4004004000000−22−222222000000000022−22000000000000000000000000000
χ564-4444-4-4-44-400-40044-4-44000000000000000000000000000000000000000000000
χ574-4444-4-4-44-400-4004-444-4000000000000000000000000000000000000000000000
χ584-4444-4-4-4-4400400-400000000000000000000000022−22−2222000000000000000000000
χ594-4444-4-4-4-4400400-4000000000000000000000000−222222−22000000000000000000000
χ604-4-44-4-444004-40-4400000000000000000000000000000000000000000000022−22000
χ614-4-44-4-444004-40-44000000000000000000000000000000000000000000000−2222000
χ624-4-44-4-44400-4404-40000000000000004-4000000000000000000000000000000000
χ634-4-44-4-44400-4404-4000000000000000-44000000000000000000000000000000000
χ644-4-4-4444-4-44-4-4-44440000-440000000000000000000000000000000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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