Finite Group Databasebeta

← Group #176841

Character table — Group #176841

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444422444444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-11-1-11-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-111111-1-11-1-11-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-11-1-11-1-11-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111-1-1
χ9111111111-1-11-1-1111111-1-1-111-1-1-1-1111-1-11-111-1-111-1-111-1-11-1
χ10111111111-1-11-1-1111111-1-1-111-1-1-1-1111-1-11-1-1-111-1-111-1-111-11
χ11111111111-1-11-1-1111111-1-1-1-1-1-11111-1-1-11-1111-1-111-1-1-1-111-11
χ12111111111-1-11-1-1111111-1-1-1-1-1-11111-1-1-11-11-1-111-1-11111-1-11-1
χ13111111111-1-11-1-11111-1-1-11111-1-1-11-11-11-1-1111-1-1-1-11111-1-1-11
χ14111111111-1-11-1-11111-1-1-11111-1-1-11-11-11-1-11-1-11111-1-1-1-1111-1
χ15111111111-1-11-1-11111-1-1-111-1-1-111-1-1-11111-111-1-1-1-111-1-1111-1
χ16111111111-1-11-1-11111-1-1-111-1-1-111-1-1-11111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2-22-200-200222-2-200-20020000000000000000
χ1822222222222-2-2-2-2-22-200-200-2-222200200-20000000000000000
χ19222222222-2-2-222-2-22-20020022-22200-200-20000000000000000
χ20222222222-2-2-222-2-22-200200-2-2-2-2-20020020000000000000000
χ2122222222-222222-2-2-2222-22200-2000-200-200000000000000000
χ2222222222-222222-2-2-22-2-2-2-2-200-2000200200000000000000000
χ2322222222-222-2-2-222-2-20020000-200200-2002-200000000000000
χ2422222222-222-2-2-222-2-20020000-200-200200-2200000000000000
χ2522222222-2-2-22-2-2-2-2-22222-2-2002000-200200000000000000000
χ2622222222-2-2-22-2-2-2-2-22-2-2222002000200-200000000000000000
χ2722222222-2-2-2-22222-2-200-20000200200200-2-200000000000000
χ2822222222-2-2-2-22222-2-200-20000200-200-2002200000000000000
χ294444-4-4-4-40000004-400000000000000000000000022−2200000000
χ304444-4-4-4-40000004-4000000000000000000000000−222200000000
χ314444-4-4-4-4000000-440000000000000000000000000022−22000000
χ324444-4-4-4-4000000-4400000000000000000000000000−2222000000
χ3344-4-4-44-44000400000-40004i−4i000000000000000000000000000
χ3444-4-4-44-44000400000-4000−4i4i000000000000000000000000000
χ3544-4-4-44-44000-40000044-4000000000000000000000000000000
χ3644-4-4-44-44000-4000004-44000000000000000000000000000000
χ374-44-44-4-4440000000-40000004i−4i0000000000000000000000000
χ384-44-44-4-4440000000-4000000−4i4i0000000000000000000000000
χ394-44-44-4-44-4000000040000000004-40000000000000000000000
χ404-44-44-4-44-400000004000000000-440000000000000000000000
χ414-44-4-444-404-40000000000000000000000000000000002i−2i2i−2i00
χ424-44-4-444-404-4000000000000000000000000000000000−2i2i−2i2i00
χ434-44-4-444-40-440000000000000000000000000000000002i−2i−2i2i00
χ444-44-4-444-40-44000000000000000000000000000000000−2i2i2i−2i00
χ454-4-44-4-44400004-400000000000000000000002-22-20000000000
χ464-4-44-4-44400004-40000000000000000000000-22-220000000000
χ474-4-44-4-4440000-4400000000000000000000002-2-220000000000
χ484-4-44-4-4440000-440000000000000000000000-222-20000000000
χ4988-8-88-88-8000000000000000000000000000000000000000000
χ508-8-8888-8-8000000000000000000000000000000000000000000

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