Finite Group Databasebeta

← Group #259336

Character table — Group #259336

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1111-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111
χ511111111111111111111111-1-1111-1-111-1-1-1-111111111-11-11-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111111-1-1-1-1
χ711111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ91111111111111111-1-1-1-111-11111-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-111-11111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-111-111-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-111-1-11111-1-1-1-111
χ121111111111111111-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-111-111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-1-111-111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-22-222-2-2-2-2-2220022200000000000000-20-2000000000000000
χ1822222222222-2-2-22-222-2-2-2-2-2-2-2002-2-200000000000000202000000000000000
χ1922222222222-2-2-22-2-2-222-2-222200-2-2-20000000000000020-2000000000000000
χ2022222222222-2-2-22-2-2-222-2-22-2-200-22200000000000000-202000000000000000
χ2122222222-2-2-2222-2222-2-2-2-220022-200220000000000000-20-200000000000000
χ2222222222-2-2-2222-2222-2-2-2-2200-2-2-200-2-2000000000000020200000000000000
χ2322222222-2-2-2222-22-2-222-2-2-20022200-2-2000000000000020-200000000000000
χ2422222222-2-2-2222-22-2-222-2-2-200-2-2200220000000000000-20200000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-20000-2000022-2-20000000000002-2000000000000
χ2622222222-2-2-2-2-2-2-2-2222222-20000-20000-2-222000000000000-22000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222200002000022-2-2000000000000-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222000020000-2-2220000000000002-2000000000000
χ2922-2-222-2-222-22-2-2-2200002-200000000002i−2i2i−2i000022-2-2000000002i−2i00000000
χ3022-2-222-2-222-22-2-2-2200002-200000000002i−2i2i−2i0000-2-22200000000−2i2i00000000
χ3122-2-222-2-222-22-2-2-2200002-20000000000−2i2i−2i2i000022-2-200000000−2i2i00000000
χ3222-2-222-2-222-22-2-2-2200002-20000000000−2i2i−2i2i0000-2-222000000002i−2i00000000
χ3322-2-222-2-2-2-22-2222-200002-200000000002i−2i−2i2i2i2i−2i−2i00000000002-20000000000
χ3422-2-222-2-2-2-22-2222-200002-200000000002i−2i−2i2i−2i−2i2i2i0000000000-220000000000
χ3522-2-222-2-2-2-22-2222-200002-20000000000−2i2i2i−2i2i2i−2i−2i0000000000-220000000000
χ3622-2-222-2-2-2-22-2222-200002-20000000000−2i2i2i−2i−2i−2i2i2i00000000002-20000000000
χ37444-4-4-44-44-44000-400000000000000000000000000000000000000022−22000000
χ38444-4-4-44-44-44000-4000000000000000000000000000000000000000−2222000000
χ39444-4-4-44-4-44-40004000000000000000000000000000000000000000002i2−2i20000
χ40444-4-4-44-4-44-4000400000000000000000000000000000000000000000−2i22i20000
χ4144-44-4-4-444-4-4000400000000000004i−4i00000000000000000000000000000000
χ4244-44-4-4-444-4-400040000000000000−4i4i00000000000000000000000000000000
χ4344-44-4-4-44-444000-4000000004-40000000000000000000000000000000000000
χ4444-44-4-4-44-444000-400000000-440000000000000000000000000000000000000
χ4544-4-444-4-444-4-444-4-40000-440000000000000000000000000000000000000000
χ4644-4-444-4-4-4-444-4-4440000-440000000000000000000000000000000000000000
χ474-4444-4-4-400044-40-40000000000000000000000000000000000000000000022−22
χ484-4444-4-4-400044-40-400000000000000000000000000000000000000000000−2222
χ494-4444-4-4-4000-4-44040000000000000000000000000000000000000000002i2−2i200
χ504-4444-4-4-4000-4-4404000000000000000000000000000000000000000000−2i22i200
χ514-44-4-44-44000000004-40000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ524-44-4-44-44000000004-4000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ534-44-4-44-4400000000-440000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ544-44-4-44-4400000000-44000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ554-4-44-444-400000000004i−4i00000000000000002-2-222i−2i−2i2i000000000000000000
χ564-4-44-444-400000000004i−4i0000000000000000-222-2−2i2i2i−2i000000000000000000
χ574-4-44-444-40000000000−4i4i00000000000000002-2-22−2i2i2i−2i000000000000000000
χ584-4-44-444-40000000000−4i4i0000000000000000-222-22i−2i−2i2i000000000000000000
χ594-4-4-44-4440004-440-40000000004i−4i00000000000000000000000000000000000
χ604-4-4-44-4440004-440-4000000000−4i4i00000000000000000000000000000000000
χ614-4-4-44-444000-44-404000000000000004-4000000000000000000000000000000
χ624-4-4-44-444000-44-40400000000000000-44000000000000000000000000000000

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