Finite Group Databasebeta

← Group #248596

Character table — Group #248596

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444448888888888888816161616161616161616161616161616163232
order12222222224444444444444222224444444442224444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-111-1-1-1-11-1-11-1-1-1-111-1-111-1-11-1
χ4111111111111111111111111111-1-111-111-1-1-1-1-11-1-11-1-1-1-1-111-1-111-11
χ511111111111111111-1-1-1-111-1-1-1-111111-1-11-1-1111111-1-1-11111-1-1-1-1-1-1
χ611111111111111111-1-1-1-111-1-1-1-111111-1-11-1-11-1-11-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-11-1-11-111111-1-1-1-111-11
χ811111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-1-11111-1-11111-1-11-1
χ91111111111111-1-1-1-1111111-1-1-1-111-1-1111111-111-1111-1-1-1-1-1-1-1-1-1-111
χ101111111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-111111111-1-1
χ111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-111-111-1-111-1-111-1-1111-1
χ121111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11-111-11-11111-1-111-1-1-11
χ131111111111111-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-111-111-111-1-1-1-11111-1-1
χ141111111111111-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ151111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-11-1-1-1-11111-1-1-11
χ161111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-111-111-1-111-1-1-1-1111-1
χ172222222222-2-2-200002222-2-200002-200-2-2-22-2-20000002000000000000
χ182222222222-2-2-200002222-2-20000-22002-2-2-222000000-2000000000000
χ192222222222-2-2-20000-2-2-2-2-2-200002-200-222222000000-2000000000000
χ202222222222-2-2-20000-2-2-2-2-2-20000-2200222-2-2-20000002000000000000
χ2122222-2-22-2-222-222-2-200002-20000002-200000000200-2000002-2000000
χ2222222-2-22-2-222-222-2-200002-20000002-200000000-200200000-22000000
χ2322222-2-22-2-222-2-2-22200002-2000000-2200000000200-200000-22000000
χ2422222-2-22-2-222-2-2-22200002-2000000-2200000000-2002000002-2000000
χ252222-22-2-22-222-222-2-20000-22000000-220000000200-200002-200000000
χ262222-22-2-22-222-222-2-20000-22000000-220000000-20020000-2200000000
χ272222-22-2-22-222-2-2-2220000-220000002-20000000200-20000-2200000000
χ282222-22-2-22-222-2-2-2220000-220000002-20000000-200200002-200000000
χ292222-2-22-2-2222222220000-2-2000022-2-2-200-200-2002000000000000000
χ302222-2-22-2-2222222220000-2-20000-2-2-2-2200200200-2000000000000000
χ312222-2-22-2-22222-2-2-2-20000-2-200002222-200-200200-2000000000000000
χ322222-2-22-2-22222-2-2-2-20000-2-20000-2-222200200-2002000000000000000
χ332222-2-22-2-22-2-2-2000000002222-2-22-200200-20000000002-20000000000
χ342222-2-22-2-22-2-2-2000000002222-2-2-2200-2002000000000-220000000000
χ352222-2-22-2-22-2-2-20000000022-2-2222-200200-2000000000-220000000000
χ362222-2-22-2-22-2-2-20000000022-2-222-2200-20020000000002-20000000000
χ3744444-4-44-4-4-4-4400000000-44000000000000000000000000000000000
χ384444-44-4-44-4-4-44000000004-4000000000000000000000000000000000
χ3944-4-40000004-40004i−4i2i2i−2i−2i002-22-2000002i−2i0000000000000000000000
χ4044-4-40000004-40004i−4i−2i−2i2i2i00-22-2200000−2i2i0000000000000000000000
χ4144-4-40000004-4000−4i4i2i2i−2i−2i00-22-22000002i−2i0000000000000000000000
χ4244-4-40000004-4000−4i4i−2i−2i2i2i002-22-200000−2i2i0000000000000000000000
χ4344-4-4000000-4404i−4i002i2i−2i−2i002-2-2200000−2i2i0000000000000000000000
χ4444-4-4000000-4404i−4i00−2i−2i2i2i00-222-2000002i−2i0000000000000000000000
χ4544-4-4000000-440−4i4i002i2i−2i−2i00-222-200000−2i2i0000000000000000000000
χ4644-4-4000000-440−4i4i00−2i−2i2i2i002-2-22000002i−2i0000000000000000000000
χ474-4-44444-4-4-400000004i−4i4i−4i00000000000000000000000000000000000
χ484-4-44444-4-4-40000000−4i4i−4i4i00000000000000000000000000000000000
χ494-4-444-4-4-44400000000000000000000000000000000000000000022−2200
χ504-4-444-4-4-444000000000000000000000000000000000000000000−222200
χ514-4-44-44-44-44000000000000000000000000000000000000000022−220000
χ524-4-44-44-44-440000000000000000000000000000000000000000−22220000
χ534-4-44-4-4444-400000000000000000000000004-40000000000000000000
χ544-4-44-4-4444-40000000000000000000000000-440000000000000000000
χ558-88-800000000000004-4-4400000000000000000000000000000000000
χ568-88-80000000000000-444-400000000000000000000000000000000000

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