Finite Group Databasebeta

← Group #507604

Character table — Group #507604

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444888888161616161616161616161616161616161616161616161616
order1222224444444444448888888844888844444444444488881616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111-1-1-1-111-1-1-1-1111-11-111-1-111-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-111-1-1-1-111-1-1-1-1111-11-1-1-111-1-11111-1-1-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-111-1-1-1-111-11-1111-1-111-1-1-1-111-1-1-1-11111
χ811111111111111-1-1-1-111-1-1-1-111-1-1-1-111-11-11-1-111-1-111-1-1111111-1-1-1-1
χ91111111111-1-1-1-1111111111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-1111111111111-1-1-1-1-1-11-11-1-1-1-1-11111-1-111-1-111-1-111
χ111111111111-1-1-1-1111111111111-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-1111111111111-1-1-1-1-1-1-11-11-1-1-1-1111111-1-111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ1822222222222222-2-2-2-2-2-22222-2-2-2-222-2-2000000000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-222000000000000000000000000
χ212222-2-222-2-22i2i−2i−2i00002-200002-200002i−2i020-200000000002i−2i00000000
χ222222-2-222-2-22i2i−2i−2i00002-200002-200002i−2i0-2020000000000−2i2i00000000
χ232222-2-222-2-22i2i−2i−2i0000-220000-220000−2i2i20-20000000002i−2i0000000000
χ242222-2-222-2-22i2i−2i−2i0000-220000-220000−2i2i-202000000000−2i2i0000000000
χ252222-2-222-2-2−2i−2i2i2i00002-200002-20000−2i2i020-20000000000−2i2i00000000
χ262222-2-222-2-2−2i−2i2i2i00002-200002-20000−2i2i0-20200000000002i−2i00000000
χ272222-2-222-2-2−2i−2i2i2i0000-220000-2200002i−2i20-2000000000−2i2i0000000000
χ282222-2-222-2-2−2i−2i2i2i0000-220000-2200002i−2i-2020000000002i−2i0000000000
χ2922-2-22-22-22-22-22-200000022-2-200002-20000000000000000002−22−22−22−2
χ3022-2-22-22-22-22-22-200000022-2-200002-2000000000000000000−22−22−22−22
χ3122-2-22-22-22-22-22-2000000-2-2220000-220000000000000000002−22−2−22−22
χ3222-2-22-22-22-22-22-2000000-2-2220000-22000000000000000000−22−222−22−2
χ3322-2-22-22-22-2-22-2200000022-2-20000-220000000000000000002−2−222−2−22
χ3422-2-22-22-22-2-22-2200000022-2-20000-22000000000000000000−222−2−222−2
χ3522-2-22-22-22-2-22-22000000-2-22200002-20000000000000000002−2−22−222−2
χ3622-2-22-22-22-2-22-22000000-2-22200002-2000000000000000000−222−22−2−22
χ3722-2-2-22-222-2000022-2-2222-22-2-2-2000000000000002-22-2000000000000
χ3822-2-2-22-222-2000022-2-2222-22-2-2-200000000000000-22-22000000000000
χ3922-2-2-22-222-2000022-2-2-2-2-22-222200000000002i−2i2i−2i0000000000000000
χ4022-2-2-22-222-2000022-2-2-2-2-22-22220000000000−2i2i−2i2i0000000000000000
χ4122-2-2-22-222-20000-2-22222-22-22-2-2000000000000002-2-22000000000000
χ4222-2-2-22-222-20000-2-22222-22-22-2-200000000000000-222-2000000000000
χ4322-2-2-22-222-20000-2-222-2-22-22-22200000000002i−2i−2i2i0000000000000000
χ4422-2-2-22-222-20000-2-222-2-22-22-2220000000000−2i2i2i−2i0000000000000000
χ45444444-4-4-4-400000000000000004-40000000000000000000000000000
χ46444444-4-4-4-40000000000000000-440000000000000000000000000000
χ474444-4-4-4-44400000000004-4-4400000000000000000000000000000000
χ484444-4-4-4-4440000000000-444-400000000000000000000000000000000
χ4944-4-44-4-44-44000000004-40000-44000000000000000000000000000000
χ5044-4-44-4-44-4400000000-4400004-4000000000000000000000000000000
χ5144-4-4-444-4-444i−4i−4i4i000000000000000000000000000000000000000000
χ5244-4-4-444-4-44−4i4i4i−4i000000000000000000000000000000000000000000
χ538-88-800000000004-44-400000000000000000000000000000000000000
χ548-88-80000000000-44-4400000000000000000000000000000000000000
χ558-8-8800000000004-4-4400000000000000000000000000000000000000
χ568-8-880000000000-444-400000000000000000000000000000000000000

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