Finite Group Databasebeta

← Group #505653

Character table — Group #505653

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444888888161616161616161616161616161616161616161616161616
order1222224444444444448888888824888844444444888888881616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111111111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ121111111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ18222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ192222222222-2-222-2-222-2-22222-2-2-2-2-2-222000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000000000
χ21222222-2-2-2-22222-2-2-2-200000000-2200000000000000000000i2−i2i2−i2i2−i2i2−i2
χ22222222-2-2-2-22222-2-2-2-200000000-2200000000000000000000−i2i2−i2i2−i2i2−i2i2
χ23222222-2-2-2-222-2-2-2-222000000002-200000000000000000000i2−i2i2−i2−i2i2−i2i2
χ24222222-2-2-2-222-2-2-2-222000000002-200000000000000000000−i2i2−i2i2i2−i2i2−i2
χ25222222-2-2-2-2-2-22222-2-2000000002-200000000000000000000i2−i2−i2i2i2−i2−i2i2
χ26222222-2-2-2-2-2-22222-2-2000000002-200000000000000000000−i2i2i2−i2−i2i2i2−i2
χ27222222-2-2-2-2-2-2-2-2222200000000-2200000000000000000000i2−i2−i2i2−i2i2i2−i2
χ28222222-2-2-2-2-2-2-2-2222200000000-2200000000000000000000−i2i2i2−i2i2−i2−i2i2
χ292222-2-222-2-22-2002-2002-222-2-22-20000000000000000002i−2i2i−2i00000000
χ302222-2-222-2-22-2002-2002-222-2-22-2000000000000000000−2i2i−2i2i00000000
χ312222-2-222-2-22-2002-200-22-2-222-22000000000000002i−2i2i−2i000000000000
χ322222-2-222-2-22-2002-200-22-2-222-2200000000000000−2i2i−2i2i000000000000
χ332222-2-222-2-2-2200-22002-2-2-2222-20000000000000000002i−2i−2i2i00000000
χ342222-2-222-2-2-2200-22002-2-2-2222-2000000000000000000−2i2i2i−2i00000000
χ352222-2-222-2-2-2200-2200-2222-2-2-22000000000000002i−2i−2i2i000000000000
χ362222-2-222-2-2-2200-2200-2222-2-2-2200000000000000−2i2i2i−2i000000000000
χ372-22-22-22-22-2002i−2i002i−2i2-20000-22002i−2i00002i−2i002-20000000000000000
χ382-22-22-22-22-2002i−2i002i−2i2-20000-22002i−2i0000−2i2i00-220000000000000000
χ392-22-22-22-22-2002i−2i002i−2i-2200002-200−2i2i002-2002i−2i000000000000000000
χ402-22-22-22-22-2002i−2i002i−2i-2200002-200−2i2i00-2200−2i2i000000000000000000
χ412-22-22-22-22-200−2i2i00−2i2i2-20000-2200−2i2i00002i−2i00-220000000000000000
χ422-22-22-22-22-200−2i2i00−2i2i2-20000-2200−2i2i0000−2i2i002-20000000000000000
χ432-22-22-22-22-200−2i2i00−2i2i-2200002-2002i−2i002-200−2i2i000000000000000000
χ442-22-22-22-22-200−2i2i00−2i2i-2200002-2002i−2i00-22002i−2i000000000000000000
χ454444-4-4-4-4444-400-440000000000000000000000000000000000000000
χ464444-4-4-4-444-44004-40000000000000000000000000000000000000000
χ474-44-44-4-44-44004i−4i00−4i4i00000000000000000000000000000000000000
χ484-44-44-4-44-4400−4i4i004i−4i00000000000000000000000000000000000000
χ494-44-4-444-4-4400000000440000-4-4000000000000000000000000000000
χ504-44-4-444-4-4400000000-4-4000044000000000000000000000000000000
χ514-44-4-44-444-4000000000000000000004i−4i000000000000000000000000
χ524-44-4-44-444-400000000000000000000−4i4i000000000000000000000000
χ5388-8-800000000000000000042−4200000000000000000000000000000000
χ5488-8-8000000000000000000−424200000000000000000000000000000000
χ558-8-8800000000000000004i2−4i20000000000000000000000000000000000
χ568-8-880000000000000000−4i24i20000000000000000000000000000000000

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