Finite Group Databasebeta

← Group #18499

Character table — Group #18499

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122224444444448888888816111122224444444448888888816
order1222444444444888844448888422224444444448888444488884
χ11111111111111111111111111111111111111111111111111111
χ21111111111111-1-1-1-11111-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1
χ31111111111-1-1111111-1-1-111-1-1-11111111111-1-1111111-1-1-111-1-1-1
χ41111111111-1-11-1-1-1-11-1-1-1-1-11111111111111-1-11-1-1-1-11-1-1-1-1-1111
χ511111111-1-11111111-11-1-1-1-111-111111111-1-11111111-11-1-1-1-111-1
χ611111111-1-1111-1-1-1-1-11-1-111-1-1111111111-1-1111-1-1-1-1-11-1-111-1-11
χ711111111-1-1-1-111111-1-111-1-1-1-1111111111-1-1-1-111111-1-111-1-1-1-11
χ811111111-1-1-1-11-1-1-1-1-1-1111111-111111111-1-1-1-11-1-1-1-1-1-1111111-1
χ922222-22-22200-20000-20000000022222-22-22200-20000-200000000
χ1022222-22-2-2-200-2000020000000022222-22-2-2-200-20000200000000
χ112222-22-220022-200000-200000002222-22-220022-200000-20000000
χ122222-22-2200-2-2-200000200000002222-22-2200-2-2-20000020000000
χ132222-2-2-2-2000020000002-2000002222-2-2-2-2000020000002-200000
χ142222-2-2-2-200002000000-22000002222-2-2-2-200002000000-2200000
χ1522-2-220-202-200022−2−200002−200022-2-220-202-200022−2−200002−2000
χ1622-2-220-202-2000−2−2220000−2200022-2-220-202-2000−2−2220000−22000
χ1722-2-220-20-2200022−2−20000−2200022-2-220-20-2200022−2−20000−22000
χ1822-2-220-20-22000−2−22200002−200022-2-220-20-22000−2−22200002−2000
χ192-2-22020-2002i−2i02−22−2000000i2−i202-2-22020-2002i−2i02−22−2000000i2−i20
χ202-2-22020-2002i−2i0−22−22000000−i2i202-2-22020-2002i−2i0−22−22000000−i2i20
χ212-2-22020-200−2i2i02−22−2000000−i2i202-2-22020-200−2i2i02−22−2000000−i2i20
χ222-2-22020-200−2i2i0−22−22000000i2−i202-2-22020-200−2i2i0−22−22000000i2−i20
χ2344-4-4-404000000000000000000044-4-4-4040000000000000000000
χ244-44-40000000002-2-220000000004-44-40000000002-2-22000000000
χ254-44-4000000000-222-20000000004-44-4000000000-222-2000000000
χ264-4-440-4040000000000000000004-4-440-404000000000000000000
χ2711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111
χ291111111111-1-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1111
χ301111111111-1-11-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-11111-111111-1-1-1
χ3111111111-1-11111111-11-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-11111-1-11
χ3211111111-1-1111-1-1-1-1-11-1-111-1-11-1-1-1-1-1-1-1-111-1-1-111111-111-1-111-1
χ3311111111-1-1-1-111111-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1
χ3411111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-11
χ3522222-22-22200-20000-200000000-2-2-2-2-22-22-2-20020000200000000
χ3622222-22-2-2-200-20000200000000-2-2-2-2-22-22220020000-200000000
χ372222-22-220022-200000-20000000-2-2-2-22-22-200-2-220000020000000
χ382222-22-2200-2-2-20000020000000-2-2-2-22-22-20022200000-20000000
χ392222-2-2-2-2000020000002-200000-2-2-2-222220000-2000000-2200000
χ402222-2-2-2-200002000000-2200000-2-2-2-222220000-20000002-200000
χ4122-2-220-202-200022−2−200002−2000-2-222-2020-22000−2−2220000−22000
χ4222-2-220-202-2000−2−2220000−22000-2-222-2020-2200022−2−200002−2000
χ4322-2-220-20-2200022−2−20000−22000-2-222-20202-2000−2−22200002−2000
χ4422-2-220-20-22000−2−22200002−2000-2-222-20202-200022−2−20000−22000
χ452-2-22020-2002i−2i02−22−2000000i2−i20-222-20-20200−2i2i0−22−22000000−i2i20
χ462-2-22020-2002i−2i0−22−22000000−i2i20-222-20-20200−2i2i02−22−2000000i2−i20
χ472-2-22020-200−2i2i02−22−2000000−i2i20-222-20-202002i−2i0−22−22000000i2−i20
χ482-2-22020-200−2i2i0−22−22000000i2−i20-222-20-202002i−2i02−22−2000000−i2i20
χ4944-4-4-4040000000000000000000-4-44440-40000000000000000000
χ504-44-40000000002-2-22000000000-44-44000000000-222-2000000000
χ514-44-4000000000-222-2000000000-44-440000000002-2-22000000000
χ524-4-440-404000000000000000000-444-4040-4000000000000000000

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