Finite Group Databasebeta

← Group #291900

Character table — Group #291900

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-111-1-1111-1-1-11-111-11-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-111-1-1111-1-1-11-1-1-1-11-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-11-111-1111-1-1111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-11-111-11-1-1-1-11-1-111111111-1-1-1-1
χ91111111111111-1-1111-1-11111-1-111-11-1-1-1111-1-11-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-11111-1-111-11-1-1-11-1-1-1-1111-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-1-1-1-1-1-1-11111-111-11-1-1-111-1-1-1-111-1-111
χ121111111111111-1-1111-1-111-1-1-1-1-1-1-11111-1-1-1-11-111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-1-1-1111111-1-111-1-1111-1-1-1-1-1-11111-1-1-1-111
χ141111111111111-1-1111-1-1-1-1111111-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1
χ151111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-111-1-1-1-111
χ17222222222222-222-2-2-2-2-2220022002-2000000-20000000000000000
χ18222222222222-222-2-2-2-2-2-2-200-2-2002200000020000000000000000
χ19222222222222-2-2-2-2-2-2222200-2-200-2-200000020000000000000000
χ20222222222222-2-2-2-2-2-222-2-2002200-22000000-20000000000000000
χ2122222222-2-2-2-2222-2-222-200000000-202-20-20000200000000000000
χ2222222222-2-2-2-2222-2-222-200000000-20-22020000-200000000000000
χ2322222222-2-2-2-22-2-2-2-22-2200000000202-2020000-200000000000000
χ2422222222-2-2-2-22-2-2-2-22-220000000020-220-20000200000000000000
χ2522222222-2-2-2-2-22222-2-22002200-2-2-2000-200002000000000000000
χ2622222222-2-2-2-2-22222-2-2200-2-20022-200020000-2000000000000000
χ2722222222-2-2-2-2-2-2-222-22-2002200-2-2200020000-2000000000000000
χ2822222222-2-2-2-2-2-2-222-22-200-2-200222000-200002000000000000000
χ29222-2-2-22-222-2-2-2002-2200002i−2i002i−2i0000000000000002i−2i0000002-2
χ30222-2-2-22-222-2-2-2002-2200002i−2i002i−2i000000000000000−2i2i000000-22
χ31222-2-2-22-222-2-2-2002-220000−2i2i00−2i2i0000000000000002i−2i000000-22
χ32222-2-2-22-222-2-2-2002-220000−2i2i00−2i2i000000000000000−2i2i0000002-2
χ33222-2-2-22-2-2-2222002-2-200002i−2i00−2i2i00000000000002-20000002i−2i00
χ34222-2-2-22-2-2-2222002-2-200002i−2i00−2i2i0000000000000-22000000−2i2i00
χ35222-2-2-22-2-2-2222002-2-20000−2i2i002i−2i00000000000002-2000000−2i2i00
χ36222-2-2-22-2-2-2222002-2-20000−2i2i002i−2i0000000000000-220000002i−2i00
χ37444-4-4-44-444-4-4400-44-400000000000000000000000000000000000
χ38444-4-4-44-4-4-444-400-44400000000000000000000000000000000000
χ3944-444-4-4-44-44-40000000000004-4000000000000000000000000000
χ4044-444-4-4-44-44-4000000000000-44000000000000000000000000000
χ4144-444-4-4-4-44-44000000004i−4i0000000000000000000000000000000
χ4244-444-4-4-4-44-4400000000−4i4i0000000000000000000000000000000
χ4344-4-4-44-444-4-4400000000000000000000000000000000022−22000000
χ4444-4-4-44-444-4-44000000000000000000000000000000000−2222000000
χ4544-4-4-44-44-444-4000000000000000000000000000000000002i2−2i20000
χ4644-4-4-44-44-444-400000000000000000000000000000000000−2i22i20000
χ474-4-44-4-444000004-400000000000000000002-20002-2000000000000
χ484-4-44-4-444000004-40000000000000000000-22000-22000000000000
χ494-4-44-4-44400000-4400000000000000000002-2000-22000000000000
χ504-4-44-4-44400000-440000000000000000000-220002-2000000000000
χ518-888-88-8-8000000000000000000000000000000000000000000000
χ528-88-88-8-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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