Finite Group Databasebeta

← Group #507768

Character table — Group #507768

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order1222224444888844448888884444888822444444444488881616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-1111111-1-111-1-1-1-1111-1111-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111-1-111-1-1-1-111-1111-11-1-1-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-11-1111111-1-1-1-1-1-11111
χ811111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-11-1-1-111111-1-1111111-1-1-1-1
χ91111111111-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-1-11-111-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-1-1-1111-1-111-1-1-1-111-1-111
χ111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11-1111-1-1-111-1-111-1-111-1-111
χ121111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1111-11-1-11111-1-111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111
χ1722222222222222222222-2-2-2-2-2-2-2-222-2-2000000000000000000000000
χ1822222222222222-2-2-2-222-2-2-2-222-2-2-2-222000000000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000
χ212222-2-222-2-200002i2i−2i−2i0022-2-20000002i−2i0002000-200002i−2i0000000000
χ222222-2-222-2-200002i2i−2i−2i0022-2-20000002i−2i000-200020000−2i2i0000000000
χ232222-2-222-2-200002i2i−2i−2i00-2-222000000−2i2i002000-200000002i−2i00000000
χ242222-2-222-2-200002i2i−2i−2i00-2-222000000−2i2i00-200020000000−2i2i00000000
χ252222-2-222-2-20000−2i−2i2i2i0022-2-2000000−2i2i0002000-20000−2i2i0000000000
χ262222-2-222-2-20000−2i−2i2i2i0022-2-2000000−2i2i000-2000200002i−2i0000000000
χ272222-2-222-2-20000−2i−2i2i2i00-2-2220000002i−2i002000-20000000−2i2i00000000
χ282222-2-222-2-20000−2i−2i2i2i00-2-2220000002i−2i00-2000200000002i−2i00000000
χ2922-2-22-22-2-222i2i−2i−2i00002i−2i2-22-2002i−2i0000000000002-22i−2i000000000000
χ3022-2-22-22-2-222i2i−2i−2i00002i−2i2-22-2002i−2i000000000000-22−2i2i000000000000
χ3122-2-22-22-2-222i2i−2i−2i00002i−2i-22-2200−2i2i00002-2002i−2i000000000000000000
χ3222-2-22-22-2-222i2i−2i−2i00002i−2i-22-2200−2i2i0000-2200−2i2i000000000000000000
χ3322-2-22-22-2-22−2i−2i2i2i0000−2i2i2-22-200−2i2i0000000000002-2−2i2i000000000000
χ3422-2-22-22-2-22−2i−2i2i2i0000−2i2i2-22-200−2i2i000000000000-222i−2i000000000000
χ3522-2-22-22-2-22−2i−2i2i2i0000−2i2i-22-22002i−2i00002-200−2i2i000000000000000000
χ3622-2-22-22-2-22−2i−2i2i2i0000−2i2i-22-22002i−2i0000-22002i−2i000000000000000000
χ3722-2-2-22-22-222i2i−2i−2i2i−2i2i−2i−2i2i000000002-2000000000000000000i2−i22−22−2i2−i2
χ3822-2-2-22-22-222i2i−2i−2i2i−2i2i−2i−2i2i000000002-2000000000000000000−i2i2−22−22−i2i2
χ3922-2-2-22-22-222i2i−2i−2i−2i2i−2i2i−2i2i00000000-22000000000000000000i2−i22−2−22−i2i2
χ4022-2-2-22-22-222i2i−2i−2i−2i2i−2i2i−2i2i00000000-22000000000000000000−i2i2−222−2i2−i2
χ4122-2-2-22-22-22−2i−2i2i2i2i−2i2i−2i2i−2i00000000-22000000000000000000i2−i2−222−2−i2i2
χ4222-2-2-22-22-22−2i−2i2i2i2i−2i2i−2i2i−2i00000000-22000000000000000000−i2i22−2−22i2−i2
χ4322-2-2-22-22-22−2i−2i2i2i−2i2i−2i2i2i−2i000000002-2000000000000000000i2−i2−22−22i2−i2
χ4422-2-2-22-22-22−2i−2i2i2i−2i2i−2i2i2i−2i000000002-2000000000000000000−i2i22−22−2−i2i2
χ45444444-4-4-4-4000000000000004-4000000000000000000000000000000
χ46444444-4-4-4-400000000000000-44000000000000000000000000000000
χ474444-4-4-4-44444440000-4-4000000000000000000000000000000000000
χ484444-4-4-4-444-4-4-4-4000044000000000000000000000000000000000000
χ4944-4-44-4-444-400004-4-4400000000000000000000000000000000000000
χ5044-4-44-4-444-40000-444-400000000000000000000000000000000000000
χ5144-4-4-444-44-400000000004-4-4400000000000000000000000000000000
χ5244-4-4-444-44-40000000000-444-400000000000000000000000000000000
χ538-88-80000004i2−4i24i2−4i2000000000000000000000000000000000000000000
χ548-88-8000000−4i24i2−4i24i2000000000000000000000000000000000000000000
χ558-8-8800000042−42−4242000000000000000000000000000000000000000000
χ568-8-88000000−424242−42000000000000000000000000000000000000000000

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