Finite Group Databasebeta

← Group #248106

Character table — Group #248106

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444448888888888888816161616161616161616161616161616163232
order12222244444444444444444224444444444442444444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-11111111-1-1-1-11-1-1-111-1-111-1-11-1
χ411111111111111111111111-1-111-1-1-1-1111111-11-1-1-1-1-1-11-1-111-1-111-11
χ511111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ711111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-111-1-1-1-111-11
χ811111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-11-1-11111-1-11-1
χ91111111111111-1-1-1-111111111-1-1111111-1-1-1-1111-1-11-1-11-1-1-1-1-1-1-1-111
χ101111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1
χ111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-111-1-1111-1
χ121111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-11-111-111111-1-111-1-1-11
χ131111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1111-1-11-1-1-1-11111-1-1
χ141111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-1-1-11111-1-1-1-111
χ151111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-11-1-1111-1-1-11111-1-1-11
χ161111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-111111-1-1-1-1111-1
χ172222222222-2-2-200002222-2-2220022-2-2-2-2000000-20000000000000000
χ182222222222-2-2-200002222-2-2-2-200-2-222-2-200000020000000000000000
χ192222222222-2-2-20000-2-2-2-2-2-22200-2-2-2-22200000020000000000000000
χ202222222222-2-2-20000-2-2-2-2-2-2-2-200222222000000-20000000000000000
χ21222222-2-2-2-222222220000-2-22-2-2-2002-20000000000002-200000000000
χ22222222-2-2-2-222222220000-2-2-22-2-200-22000000000000-2200000000000
χ23222222-2-2-2-2222-2-2-2-20000-2-22-222002-2000000000000-2200000000000
χ24222222-2-2-2-2222-2-2-2-20000-2-2-222200-220000000000002-200000000000
χ25222222-2-2-2-2-2-2-200000000222-20000-220022-2-20002-200000000000000
χ26222222-2-2-2-2-2-2-200000000222-20000-2200-2-222000-2200000000000000
χ27222222-2-2-2-2-2-2-20000000022-2200002-20022-2-2000-2200000000000000
χ28222222-2-2-2-2-2-2-20000000022-2200002-200-2-2220002-200000000000000
χ292222-2-22-22-222-222-2-200002-2002-2000000000002000000-2002-2000000
χ302222-2-22-22-222-222-2-200002-2002-200000000000-2000000200-22000000
χ312222-2-22-22-222-2-2-22200002-200-22000000000002000000-200-22000000
χ322222-2-22-22-222-2-2-22200002-200-2200000000000-20000002002-2000000
χ332222-2-2-22-2222-222-2-20000-2200-22000000000020000-20002-200000000
χ342222-2-2-22-2222-222-2-20000-2200-220000000000-200002000-2200000000
χ352222-2-2-22-2222-2-2-2220000-22002-2000000000020000-2000-2200000000
χ362222-2-2-22-2222-2-2-2220000-22002-20000000000-2000020002-200000000
χ374444-4-44-44-4-4-4400000000-44000000000000000000000000000000000
χ384444-4-4-44-44-4-44000000004-4000000000000000000000000000000000
χ394-44-44-444-4-400000000000000000000000000000000000000000022−2200
χ404-44-44-444-4-4000000000000000000000000000000000000000000−222200
χ414-44-44-4-4-44400000000000000000000000000000000000000002i2−2i20000
χ424-44-44-4-4-4440000000000000000000000000000000000000000−2i22i20000
χ434-44-4-444-4-4400000004i4i−4i−4i00000000000000000000000000000000000
χ444-44-4-444-4-440000000−4i−4i4i4i00000000000000000000000000000000000
χ454-44-4-44-444-4000000000000000004i−4i000000000000000000000000000
χ464-44-4-44-444-400000000000000000−4i4i000000000000000000000000000
χ474-4-440000004-40004-42i−2i2i−2i00000000002i−2i2i−2i2i−2i0000000000000000000
χ484-4-440000004-40004-4−2i2i−2i2i0000000000−2i2i−2i2i−2i2i0000000000000000000
χ494-4-440000004-4000-442i−2i2i−2i00000000002i−2i−2i2i−2i2i0000000000000000000
χ504-4-440000004-4000-44−2i2i−2i2i0000000000−2i2i2i−2i2i−2i0000000000000000000
χ514-4-44000000-4404-4002i−2i2i−2i0000000000−2i2i2i−2i−2i2i0000000000000000000
χ524-4-44000000-4404-400−2i2i−2i2i00000000002i−2i−2i2i2i−2i0000000000000000000
χ534-4-44000000-440-44002i−2i2i−2i0000000000−2i2i−2i2i2i−2i0000000000000000000
χ544-4-44000000-440-4400−2i2i−2i2i00000000002i−2i2i−2i−2i2i0000000000000000000
χ5588-8-800000000000004-4-4400000000000000000000000000000000000
χ5688-8-80000000000000-444-400000000000000000000000000000000000

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