Finite Group Databasebeta

← Group #512150

Character table — Group #512150

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122444444444444888888888888888888888888816161616323232323232
order12222222224444444424444444444444444444444442444444488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-111-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11-1-111-11-11-1
χ611111111111111-1-111-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-111-1-11-11-11
χ711111111111111-1-111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11-11
χ811111111111111-1-111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-111-1-111-11-1
χ91111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ101111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ111111111111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ121111111111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ131111111111-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-111-1-11111-1-11-1-11-11-111-1
χ141111111111-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-111-1-11111-1-1-111-11-11-1-11
χ151111111111-1-1-1-1-1-111-111-1-111-1-111-1-111-1-1-1-111-1-1111-1-11-111-1-11
χ161111111111-1-1-1-1-1-111-111-1-111-1-111-1-111-1-1-1-111-1-111-111-11-1-111-1
χ1722222222-2-2000022-2-2-20000002-22222-2-2-2-2000000000000000000
χ1822222222-2-2000022-2-2-20000002-2-2-2-2-22222000000000000000000
χ1922222222-2-20000-2-2-2-22000000-2222-2-2-2-222000000000000000000
χ2022222222-2-20000-2-2-2-22000000-22-2-22222-2-2000000000000000000
χ21222222-2-222222222-2-2-2220000-2200000000-2-2-2-200000000000000
χ22222222-2-2222222-2-2-2-22-2-200002-200000000-2-22200000000000000
χ23222222-2-222-2-2-2-222-2-2-2-2-20000-2200000000222200000000000000
χ24222222-2-222-2-2-2-2-2-2-2-222200002-20000000022-2-200000000000000
χ25222222-2-2-2-2000022222002222-2-2000000000000-2-2-2-20000000000
χ26222222-2-2-2-200002222200-2-2-2-2-2-200000000000022220000000000
χ27222222-2-2-2-20000-2-222-20022-2-222000000000000-2-2220000000000
χ28222222-2-2-2-20000-2-222-200-2-2222200000000000022-2-20000000000
χ292-2-222-22-22-20000002-202i−2i002i−2i002-2002-200002i−2i002i−2i0000000000
χ302-2-222-22-22-20000002-202i−2i00−2i2i00-2200-2200002i−2i00−2i2i0000000000
χ312-2-222-22-22-20000002-20−2i2i002i−2i00-2200-220000−2i2i002i−2i0000000000
χ322-2-222-22-22-20000002-20−2i2i00−2i2i002-2002-20000−2i2i00−2i2i0000000000
χ332-2-222-22-2-222i2i−2i−2i00-220002i−2i00002-200-22002i−2i002i−2i000000000000
χ342-2-222-22-2-222i2i−2i−2i00-22000−2i2i0000-22002-2002i−2i00−2i2i000000000000
χ352-2-222-22-2-22−2i−2i2i2i00-220002i−2i0000-22002-200−2i2i002i−2i000000000000
χ362-2-222-22-2-22−2i−2i2i2i00-22000−2i2i00002-200-2200−2i2i00−2i2i000000000000
χ372-2-222-2-222-2000000-2202i−2i2i−2i0000002-2002-200−2i2i−2i2i000000000000
χ382-2-222-2-222-2000000-2202i−2i−2i2i000000-2200-2200−2i2i2i−2i000000000000
χ392-2-222-2-222-2000000-220−2i2i2i−2i000000-2200-22002i−2i−2i2i000000000000
χ402-2-222-2-222-2000000-220−2i2i−2i2i0000002-2002-2002i−2i2i−2i000000000000
χ412-2-222-2-22-222i2i−2i−2i002-2000002i−2i00002-200-22−2i2i0000−2i2i0000000000
χ422-2-222-2-22-222i2i−2i−2i002-200000−2i2i0000-22002-2−2i2i00002i−2i0000000000
χ432-2-222-2-22-22−2i−2i2i2i002-2000002i−2i0000-22002-22i−2i0000−2i2i0000000000
χ442-2-222-2-22-22−2i−2i2i2i002-200000−2i2i00002-200-222i−2i00002i−2i0000000000
χ454444-4-4000000004-400000000000000000000000000022-2-2000000
χ464444-4-4000000004-4000000000000000000000000000-2-222000000
χ474444-4-400000000-440000000000000000000000000002-22-2000000
χ484444-4-400000000-44000000000000000000000000000-22-22000000
χ4988-8-80000004-44-4000000000000000000000000000000000000000
χ5088-8-8000000-44-44000000000000000000000000000000000000000
χ518-88-80000004i−4i−4i4i000000000000000000000000000000000000000
χ528-88-8000000−4i4i4i−4i000000000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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