Finite Group Databasebeta

← Group #259504

Character table — Group #259504

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1111-1-1-1-1-1-1111111111-1-1-11-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1111-1-1-1-1-1-11111111111-11-1-1-1-1-11-1-1-1-1-1-11111
χ611111111111111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1111-1-11111-1-1-1-1
χ711111111111111111111111-1-1-1-11-1-11111-1-111111111-1-111-111-111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ91111111111111111-1-1-1-111-11111-1-1-11111-1-11111-1-1-1-1-1-1111-1-11-1-111-1-111-1-1
χ101111111111111111-1-1-1-111-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ111111111111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1111-11111-1-1-1-111
χ121111111111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111-1-1-111-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-111-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-1-111-111-1-1-1-1-1-1-1-1-1-111111-111-1-1-111111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-111-1-1-111-1-111-1-1
χ1722222222222-2-2-22-22222-2-2-22200-22200000000000000-2000-20000000000000
χ1822222222222-2-2-22-22222-2-2-2-2-200-2-2-200000000000000200020000000000000
χ1922222222222-2-2-22-2-2-2-2-2-2-2222002-2-2000000000000002000-20000000000000
χ2022222222222-2-2-22-2-2-2-2-2-2-22-2-20022200000000000000-200020000000000000
χ2122222222-2-2-2222-2222-2-2-2-2-200222000000-2-2000000000200000-20000000000
χ2222222222-2-2-2222-2222-2-2-2-2-200-2-2200000022000000000-20000020000000000
χ2322222222-2-2-2222-22-2-222-2-220022-200000022000000000-200000-20000000000
χ2422222222-2-2-2222-22-2-222-2-2200-2-2-2000000-2-200000000020000020000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22220000-20022-2-20000000000000000002-200000000
χ2622222222-2-2-2-2-2-2-2-222-2-22220000-200-2-222000000000000000000-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2000020022-2-2000000000000000000-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-20000200-2-2220000000000000000002-200000000
χ2922-22-22-2-22-2-2000202-22-20002-20002-2000000i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i20000
χ3022-22-22-2-22-2-2000202-22-20002-20002-2000000−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i20000
χ3122-22-22-2-22-2-2000202-22-2000-22000-22000000i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i20000
χ3222-22-22-2-22-2-2000202-22-2000-22000-22000000−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i20000
χ3322-22-22-2-22-2-200020-22-220002-2000-22000000i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i20000
χ3422-22-22-2-22-2-200020-22-220002-2000-22000000−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i20000
χ3522-22-22-2-22-2-200020-22-22000-220002-2000000i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i20000
χ3622-22-22-2-22-2-200020-22-22000-220002-2000000−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i20000
χ372-2-222-2-2222-22-2-2-2200002-2000000002i−2i2i−2i002i−2i2i−2i0000002-200000000000000
χ382-2-222-2-2222-22-2-2-2200002-2000000002i−2i2i−2i00−2i2i−2i2i000000-2200000000000000
χ392-2-222-2-2222-22-2-2-2200002-200000000−2i2i−2i2i002i−2i2i−2i000000-2200000000000000
χ402-2-222-2-2222-22-2-2-2200002-200000000−2i2i−2i2i00−2i2i−2i2i0000002-200000000000000
χ412-2-222-2-22-2-22-2222-200002-2000000002i−2i−2i2i0000002-22-2000002i−2i00000000000
χ422-2-222-2-22-2-22-2222-200002-2000000002i−2i−2i2i000000-22-2200000−2i2i00000000000
χ432-2-222-2-22-2-22-2222-200002-200000000−2i2i2i−2i0000002-22-200000−2i2i00000000000
χ442-2-222-2-22-2-22-2222-200002-200000000−2i2i2i−2i000000-22-22000002i−2i00000000000
χ4544-44-44-4-4-444000-404-4-44000000000000000000000000000000000000000000
χ4644-44-44-4-4-444000-40-444-4000000000000000000000000000000000000000000
χ4744-4-44-44-400044-40-40000000004-400000000000000000000000000000000000
χ4844-4-44-44-400044-40-4000000000-4400000000000000000000000000000000000
χ4944-4-44-44-4000-4-44040000000000000000004i−4i00000000000000000000000000
χ5044-4-44-44-4000-4-4404000000000000000000−4i4i00000000000000000000000000
χ514-444-4-44-44-44000-400000000000000000000022−22−22220000000000000000000000
χ524-444-4-44-44-44000-4000000000000000000000−222222−220000000000000000000000
χ534-444-4-44-4-44-4000400000000000000000000000002i2−2i2−2i22i2000000000000000000
χ544-444-4-44-4-44-400040000000000000000000000000−2i22i22i2−2i2000000000000000000
χ554-44-444-4-40004-440-400000000000000000000000000000000000000000022−2200
χ564-44-444-4-40004-440-4000000000000000000000000000000000000000000−222200
χ574-44-444-4-4000-44-404000000000000000000000000000000000000000000002i2−2i2
χ584-44-444-4-4000-44-40400000000000000000000000000000000000000000000−2i22i2
χ594-4-444-4-4444-4-444-4-40000-440000000000000000000000000000000000000000
χ604-4-444-4-44-4-444-4-4440000-440000000000000000000000000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-8-8888000000000000000000000000000000000000000000000000000000

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