Finite Group Databasebeta

← Group #247697

Character table — Group #247697

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222244444444444488888888888816161616161616161616161616161616161616161616
order12222244442222224444442244444444442444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-11111-1-111-1-1-1-111-1-111111-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-11111-1-111-1-1-1-111-1-1111-1-111-1-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-111-1-111111-1-1-1-1-1-11111
χ811111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-111111-1-1111111-1-1-1-1
χ91111111111-1-1-1-111111111-1-1-1-111-1-111111-1-111111-1-1-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-111111111-1-1-1-111-1-111111-1-1-1-1-1-11-1-11111-1-111-1-111
χ111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1111111-111-1-1-1-1-1-111-1-111
χ121111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-111-1-1-111-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1-1-111-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11111-1-11-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-111-1-1111-1-111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-222-2-22200000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000000000
χ21222222-2-2-2-2000022-2-222-2-200002-200000002-2000002-2000000000000
χ22222222-2-2-2-2000022-2-222-2-200002-20000000-2200000-22000000000000
χ23222222-2-2-2-2000022-2-2-2-2220000-22002222-2000000-200000000000000
χ24222222-2-2-2-2000022-2-2-2-2220000-2200-2-2-2-22000000200000000000000
χ25222222-2-2-2-20000-2-22222-2-20000-2200000002-200000-22000000000000
χ26222222-2-2-2-20000-2-22222-2-20000-220000000-22000002-2000000000000
χ27222222-2-2-2-20000-2-222-2-22200002-20022-2-2-2000000200000000000000
χ28222222-2-2-2-20000-2-222-2-22200002-200-2-2222000000-200000000000000
χ292222-2-22-2-2222-2-200002-22-2002-200000000000002-2000002-200000000
χ302222-2-22-2-2222-2-200002-22-2002-20000000000000-2200000-2200000000
χ312222-2-22-2-2222-2-20000-22-2200-22000000000002-2000002-20000000000
χ322222-2-22-2-2222-2-20000-22-2200-2200000000000-2200000-220000000000
χ332222-2-22-2-22-2-22200002-22-200-2200000000000002-200000-2200000000
χ342222-2-22-2-22-2-22200002-22-200-220000000000000-22000002-200000000
χ352222-2-22-2-22-2-2220000-22-22002-2000000000002-200000-220000000000
χ362222-2-22-2-22-2-2220000-22-22002-200000000000-22000002-20000000000
χ3722-2-2-2222-2-22-22-22-22-200002-2000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ3822-2-2-2222-2-22-22-22-22-200002-2000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ3922-2-2-2222-2-22-22-2-22-220000-22000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ4022-2-2-2222-2-22-22-2-22-220000-22000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ4122-2-2-2222-2-2-22-222-22-20000-22000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ4222-2-2-2222-2-2-22-222-22-20000-22000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ4322-2-2-2222-2-2-22-22-22-2200002-2000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ4422-2-2-2222-2-2-22-22-22-2200002-2000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ454444-4-4-444-4000000004-4-440000000000000000000000000000000000
χ464444-4-4-444-400000000-444-40000000000000000000000000000000000
χ4744-4-44-44-44-44-4-44000000000000000000000000000000000000000000
χ4844-4-44-44-44-4-444-4000000000000000000000000000000000000000000
χ4944-4-44-4-44-440000000000000000004i−4i00000000000000000000000000
χ5044-4-44-4-44-44000000000000000000−4i4i00000000000000000000000000
χ5144-4-4-44-4-44400004-4-4400000000000000000000000000000000000000
χ5244-4-4-44-4-4440000-444-400000000000000000000000000000000000000
χ538-88-800000000000000000000000000004i−4i0000000000000000000000
χ548-88-80000000000000000000000000000−4i4i0000000000000000000000
χ558-8-88000000000000000000000000004i−4i000000000000000000000000
χ568-8-8800000000000000000000000000−4i4i000000000000000000000000

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