Finite Group Databasebeta

← Group #304707

Character table — Group #304707

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444444444444444888888884444448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1111-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-111111-1-111-1-11-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1111-1-111-1-111-11
χ711111111111111111111-1-1-1-111-1-1-1-1-11111-1-1-11111-1-1-1-1111-1-1-111-1-1-1-111-11
χ811111111111111111111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1-11111-1-11-1
χ91111111111111111-1-1-1-1111111111-1-111-1-11-1-1111111111-1-11-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-11-1-111111111-111-111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-1-1-11111-1111-1-111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1111111-1-1-1-11-1-1-111-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-111-1-1-1-111111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22222222-2-2-2-200-2-2-200-2-2222000000000000000000000000
χ1822222222222-2-2-2-222222-2-222-2-20022200-2-2-2-2-2000000000000000000000000
χ1922222222222-2-2-2-22-2-2-2-222-2-2-2-200-22200222-2-2000000000000000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-222-2-2002-2-20022-222000000000000000000000000
χ2122222222-2-2-22222-200002222-2-222-2002200-20000000000-200-2000000000000
χ2222222222-2-2-22222-200002222-2-2-2-2-200-2-200-200000000002002000000000000
χ2322222222-2-2-22222-20000-2-2-2-2-2-222200-2-20020000000000200-2000000000000
χ2422222222-2-2-22222-20000-2-2-2-2-2-2-2-2200220020000000000-2002000000000000
χ2522222222-2-2-2-2-2-2-2-2000022-2-222002000000-2000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-2000022-2-222002000000-200000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-2222200-20000002000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-2222200-2000000200000000000-2202-20000000000
χ2922-22-22-2-22-2-22-22-2222-2-200002-200000002-200000002i2i−2i−2i000000002i−2i000000
χ3022-22-22-2-22-2-22-22-2222-2-200002-200000002-20000000−2i−2i2i2i00000000−2i2i000000
χ3122-22-22-2-22-2-22-22-22-2-22200002-20000000-2200000002i2i−2i−2i00000000−2i2i000000
χ3222-22-22-2-22-2-22-22-22-2-22200002-20000000-220000000−2i−2i2i2i000000002i−2i000000
χ3322-22-22-2-22-2-2-22-22222-2-20000-220000000-220002i2i−2i−2i00000000002i−2i00000000
χ3422-22-22-2-22-2-2-22-22222-2-20000-220000000-22000−2i−2i2i2i0000000000−2i2i00000000
χ3522-22-22-2-22-2-2-22-222-2-2220000-2200000002-20002i2i−2i−2i0000000000−2i2i00000000
χ3622-22-22-2-22-2-2-22-222-2-2220000-2200000002-2000−2i−2i2i2i00000000002i−2i00000000
χ372-2-222-2-220002-2-22000002i−2i2i−2i002i−2i0002-2000002−22−2i2−i2i2−i20000000000i2−i22−200
χ382-2-222-2-220002-2-22000002i−2i2i−2i002i−2i0002-200000−22−22−i2i2−i2i20000000000−i2i2−2200
χ392-2-222-2-220002-2-22000002i−2i2i−2i00−2i2i000-22000002−22−2i2−i2i2−i20000000000−i2i2−2200
χ402-2-222-2-220002-2-22000002i−2i2i−2i00−2i2i000-2200000−22−22−i2i2−i2i20000000000i2−i22−200
χ412-2-222-2-220002-2-2200000−2i2i−2i2i002i−2i000-22000002−22−2−i2i2−i2i20000000000i2−i2−2200
χ422-2-222-2-220002-2-2200000−2i2i−2i2i002i−2i000-2200000−22−22i2−i2i2−i20000000000−i2i22−200
χ432-2-222-2-220002-2-2200000−2i2i−2i2i00−2i2i0002-2000002−22−2−i2i2−i2i20000000000−i2i22−200
χ442-2-222-2-220002-2-2200000−2i2i−2i2i00−2i2i0002-200000−22−22i2−i2i2−i20000000000i2−i2−2200
χ45444-4-4-4-4444-40000-44-44-4000000000000000000000000000000000000000000
χ46444-4-4-4-4444-40000-4-44-44000000000000000000000000000000000000000000
χ47444-4-4-4-44-4-440000400000000000004i−4i0000000000000000000000000000000
χ48444-4-4-4-44-4-44000040000000000000−4i4i0000000000000000000000000000000
χ4944-44-44-4-4-4444-44-4-400000000-44000000000000000000000000000000000000
χ5044-44-44-4-4-444-44-44-4000000004-4000000000000000000000000000000000000
χ5144-4-44-44-44-440000-44-4-44000000000000000000000000000000000000000000
χ5244-4-44-44-44-440000-4-444-4000000000000000000000000000000000000000000
χ5344-4-44-44-4-44-400004000000000000000000004i−4i000000000000000000000000
χ5444-4-44-44-4-44-40000400000000000000000000−4i4i000000000000000000000000
χ554-444-4-44-400044-4-400000000000000000000000000022−22−22220000000000000000
χ564-444-4-44-400044-4-4000000000000000000000000000−222222−220000000000000000
χ574-444-4-44-4000-4-444000000000000000000000002i2−2i2−2i22i200000000000000000000
χ584-444-4-44-4000-4-44400000000000000000000000−2i22i22i2−2i200000000000000000000
χ594-4-444-4-44000-444-4000004i−4i−4i4i00000000000000000000000000000000000000
χ604-4-444-4-44000-444-400000−4i4i4i−4i00000000000000000000000000000000000000
χ618-88-888-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8-8-8888000000000000000000000000000000000000000000000000000000

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