Finite Group Databasebeta

← Group #291868

Character table — Group #291868

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422224444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-1-11-1-11-1-111-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1111-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-111-1-11-1-11-111-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1111-1-111-1-11-1-11-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-11-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-11-1-1-1-11-1-11-1-11-1-11-1-111111111-1-1-1-1
χ91111111111111-1-1111-1-11111-1-1-111-11-1-1-1-11111-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-11111-1-1-111-11-1-1-1-11-1-1111-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-1-1-1-1-1-1-11111-11-111-1-1-111-1-1-1-111-1-111
χ121111111111111-1-1111-1-111-1-1-1-1-1-1-11111-11-1-1-1-111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-1-1-111-111111-1-111-1-111-1-1-1-1-11111-1-1-1-111
χ141111111111111-1-1111-1-1-1-111-111111-1-111-1-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-11-1111111-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-11-1111-1-111111-1-111-1-1-1-111
χ17222222222222-222-2-2-2-2-22200222000-200-20000000000000000000
χ18222222222222-222-2-2-2-2-2-2-2002-2-200020020000000000000000000
χ19222222222222-2-2-2-2-2-2222200-2-2-2000-20020000000000000000000
χ20222222222222-2-2-2-2-2-222-2-200-222000200-20000000000000000000
χ2122222222-2-2-2-2222-2-222-20000-20000200-200-200200000000000000
χ2222222222-2-2-2-2222-2-222-20000-20000-200200200-200000000000000
χ2322222222-2-2-2-22-2-2-2-22-22000020000200-200200-200000000000000
χ2422222222-2-2-2-22-2-2-2-22-22000020000-200200-200200000000000000
χ2522222222-2-2-2-2-22222-2-220022-200-2-200-2002000000000000000000
χ2622222222-2-2-2-2-22222-2-2200-2-2-2002200200-2000000000000000000
χ2722222222-2-2-2-2-2-2-222-22-20022200-2-200200-2000000000000000000
χ2822222222-2-2-2-2-2-2-222-22-200-2-22002200-2002000000000000000000
χ29222-2-2-22-222-2-2-2002-2200002i−2i0002i−2i000000000000002i−2i0000002-2
χ30222-2-2-22-222-2-2-2002-2200002i−2i0002i−2i00000000000000−2i2i000000-22
χ31222-2-2-22-222-2-2-2002-220000−2i2i000−2i2i000000000000002i−2i000000-22
χ32222-2-2-22-222-2-2-2002-220000−2i2i000−2i2i00000000000000−2i2i0000002-2
χ33222-2-2-22-2-2-2222002-2-200002i−2i000−2i2i0000000000002-20000002i−2i00
χ34222-2-2-22-2-2-2222002-2-200002i−2i000−2i2i000000000000-22000000−2i2i00
χ35222-2-2-22-2-2-2222002-2-20000−2i2i0002i−2i0000000000002-2000000−2i2i00
χ36222-2-2-22-2-2-2222002-2-20000−2i2i0002i−2i000000000000-220000002i−2i00
χ37444-4-4-44-444-4-4400-44-400000000000000000000000000000000000
χ38444-4-4-44-4-4-444-400-44400000000000000000000000000000000000
χ3944-444-4-4-44-44-4000000004-40000000000000000000000000000000
χ4044-444-4-4-44-44-400000000-440000000000000000000000000000000
χ4144-444-4-4-4-44-4400000000000004i−4i00000000000000000000000000
χ4244-444-4-4-4-44-440000000000000−4i4i00000000000000000000000000
χ4344-4-4-44-444-4-440000000000000000000000000000000000022−220000
χ4444-4-4-44-444-4-4400000000000000000000000000000000000−22220000
χ4544-4-4-44-44-444-40000000000000000000000000000000002i2−2i2000000
χ4644-4-4-44-44-444-4000000000000000000000000000000000−2i22i2000000
χ474-4-44-4-444000004-40000000000000000000002-202-2000000000000
χ484-4-44-4-444000004-4000000000000000000000-220-22000000000000
χ494-4-44-4-44400000-440000000000000000000002-20-22000000000000
χ504-4-44-4-44400000-44000000000000000000000-2202-2000000000000
χ518-888-88-8-8000000000000000000000000000000000000000000000
χ528-88-88-8-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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