Finite Group Databasebeta

← Group #500582

Character table — Group #500582

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order1222224444444444444488882488888822444444444444441616161616161616
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
χ511111111111111-1-111-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-1111111-1-1111111-1-1-1-111-1-11-11-11-11-111-1-111-1-111-1-111-1-1
χ10111111-1-1-1-1111111-1-1111111-1-1-1-111-1-11-11-11-11-1-1-111-1-111-1-111-1-111
χ11111111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-11-11-11-1111-1-111-1-1-1-111-1-111
χ12111111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-11-11-11-11-1-111-1-11111-1-111-1-1
χ13111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-111
χ14111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-11-1-11111-1-1-1-11111-1-1
χ15111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-111-1-111-111-1-1-1-111-1-11111-1-1
χ16111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-111-1-111-1-1-11111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000
χ1822222222222222-2-222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-200002-200000000000000000000002−22−22−22−2
χ202222222222-2-2-2-222-2-2-2-200002-20000000000000000000000−22−22−22−22
χ212222222222-2-2-2-2-2-2-2-2220000-2200000000000000000000002−22−2−22−22
χ222222222222-2-2-2-2-2-2-2-2220000-220000000000000000000000−22−222−22−2
χ23222222-2-2-2-2222222-2-222-2-2-2-2-2-222-2-222000000000000000000000000
χ24222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000
χ25222222-2-2-2-2-2-2-2-22222-2-20000-2200000000000000000000002−2−222−2−22
χ26222222-2-2-2-2-2-2-2-22222-2-20000-220000000000000000000000−222−2−222−2
χ27222222-2-2-2-2-2-2-2-2-2-2222200002-200000000000000000000002−2−22−222−2
χ28222222-2-2-2-2-2-2-2-2-2-2222200002-20000000000000000000000−222−22−2−22
χ292222-2-222-2-2-2-222002-2002-22-2002-20000002200-2-20000000000000000
χ302222-2-222-2-2-2-222002-2002-22-2002-2000000-2-200220000000000000000
χ312222-2-222-2-2-2-222002-200-22-2200-2200002200-2-2000000000000000000
χ322222-2-222-2-2-2-222002-200-22-2200-220000-2-20022000000000000000000
χ332222-2-2-2-222-2-22200-22002-22-200-220000002-200-220000000000000000
χ342222-2-2-2-222-2-22200-22002-22-200-22000000-22002-20000000000000000
χ352222-2-2-2-222-2-22200-2200-22-22002-200002-200-22000000000000000000
χ362222-2-2-2-222-2-22200-2200-22-22002-20000-22002-2000000000000000000
χ372-22-22-200002-22-22i−2i002i−2i2-2-2200002i−2i0000000000002-2002i−2i00000000
χ382-22-22-200002-22-22i−2i002i−2i2-2-2200002i−2i000000000000-2200−2i2i00000000
χ392-22-22-200002-22-22i−2i002i−2i-222-20000−2i2i00000000002i−2i002-20000000000
χ402-22-22-200002-22-22i−2i002i−2i-222-20000−2i2i0000000000−2i2i00-220000000000
χ412-22-22-200002-22-2−2i2i00−2i2i2-2-220000−2i2i0000000000002-200−2i2i00000000
χ422-22-22-200002-22-2−2i2i00−2i2i2-2-220000−2i2i000000000000-22002i−2i00000000
χ432-22-22-200002-22-2−2i2i00−2i2i-222-200002i−2i00000000002i−2i00-220000000000
χ442-22-22-200002-22-2−2i2i00−2i2i-222-200002i−2i0000000000−2i2i002-20000000000
χ454444-4-444-4-444-4-400-4400000000000000000000000000000000000000
χ464444-4-4-4-44444-4-4004-400000000000000000000000000000000000000
χ474-44-44-40000-44-444i−4i00−4i4i000000000000000000000000000000000000
χ484-44-44-40000-44-44−4i4i004i−4i000000000000000000000000000000000000
χ494-44-4-4400004-4-4400000000000000004i−4i000000000000000000000000
χ504-44-4-4400004-4-440000000000000000−4i4i000000000000000000000000
χ514-44-4-440000-444-400000044-4-400000000000000000000000000000000
χ524-44-4-440000-444-4000000-4-44400000000000000000000000000000000
χ5388-8-8008-8000000000000000000000000000000000000000000000000
χ5488-8-800-88000000000000000000000000000000000000000000000000
χ558-8-8800008i−8i0000000000000000000000000000000000000000000000
χ568-8-880000−8i8i0000000000000000000000000000000000000000000000

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