Finite Group Databasebeta

← Group #257203

Character table — Group #257203

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-1-1-1-11-1-1111-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1111-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-111-1-1-1-11-111-1111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1111-1-111-1-1-1-11-1-1-1-11-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-11-1-1-1-1111-1-1111-1-111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-11-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-11111
χ91111111111111-1-1111-1-11111-1-1-111-11-11-1111-1-1-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-11111-1-1-111-11-11-11-1-1-1-111-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-1-1-1-1-1-1-11-1111-111-11-1-111-1-1-1-111-1-111
χ121111111111111-1-1111-1-111-1-1-1-1-1-1-11-1111-1-1-1-1111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-1-1-111-111111-11-1-1-1111-1-1-1-1-111-1-11111-1-1
χ141111111111111-1-1111-1-1-1-111-111111-11-1-1-1-1-11-11111-1-111-1-1-1-111
χ151111111111111-1-1111-1-1-1-1-1-1-111-1-1-11-1-1111111-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-111-1-1-11-1-111-1-1111111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-2220022200000-20000-2000000000000000
χ18222222222222-222-2-2-2-2-2-2-2002-2-200000200002000000000000000
χ19222222222222-2-2-2-2-2-2222200-2-2-200000-200002000000000000000
χ20222222222222-2-2-2-2-2-222-2-200-2220000020000-2000000000000000
χ2122222222-2-2-2-2222-2-222-20022-200-2-20000-20000200000000000000
χ2222222222-2-2-2-2222-2-222-200-2-2-20022000020000-200000000000000
χ2322222222-2-2-2-22-2-2-2-22-220022200-2-2000020000-200000000000000
χ2422222222-2-2-2-22-2-2-2-22-2200-2-2200220000-20000200000000000000
χ2522222222-2-2-2-2-22222-2-220000-2000022-200-2000000000000000000
χ2622222222-2-2-2-2-22222-2-220000-20000-2-22002000000000000000000
χ2722222222-2-2-2-2-2-2-222-22-20000200002-2-2002000000000000000000
χ2822222222-2-2-2-2-2-2-222-22-2000020000-22200-2000000000000000000
χ29222-22-2-2-22-22-2-2002-2200002i−2i0002i−2i00000000002i−2i00000000002-2
χ30222-22-2-2-22-22-2-2002-2200002i−2i0002i−2i0000000000−2i2i0000000000-22
χ31222-22-2-2-22-22-2-2002-220000−2i2i000−2i2i00000000002i−2i0000000000-22
χ32222-22-2-2-22-22-2-2002-220000−2i2i000−2i2i0000000000−2i2i00000000002-2
χ33222-22-2-2-2-22-22-200-22200002i−2i000−2i2i0000002i−2i0000000000002-200
χ34222-22-2-2-2-22-22-200-22200002i−2i000−2i2i000000−2i2i000000000000-2200
χ35222-22-2-2-2-22-22-200-2220000−2i2i0002i−2i0000002i−2i000000000000-2200
χ36222-22-2-2-2-22-22-200-2220000−2i2i0002i−2i000000−2i2i0000000000002-200
χ37444-44-4-4-44-44-4400-44-400000000000000000000000000000000000
χ38444-44-4-4-4-44-444004-4-400000000000000000000000000000000000
χ3944-4-4-44-44000004i−4i000000000000000000000000002-22i−2i00000000
χ4044-4-4-44-44000004i−4i00000000000000000000000000-22−2i2i00000000
χ4144-4-4-44-4400000−4i4i000000000000000000000000002-2−2i2i00000000
χ4244-4-4-44-4400000−4i4i00000000000000000000000000-222i−2i00000000
χ434-444-44-4-44-4-440000000000000000000000000000000002i2−2i2000000
χ444-444-44-4-44-4-44000000000000000000000000000000000−2i22i2000000
χ454-444-44-4-4-444-4000000000000000000000000000000000002i2−2i20000
χ464-444-44-4-4-444-400000000000000000000000000000000000−2i22i20000
χ474-44-4-4-44444-4-400000000000004i−4i00000000000000000000000000
χ484-44-4-4-44444-4-40000000000000−4i4i00000000000000000000000000
χ494-44-4-4-444-4-444000000004-40000000000000000000000000000000
χ504-44-4-4-444-4-44400000000-440000000000000000000000000000000
χ5188-88-8-88-8000000000000000000000000000000000000000000000
χ528-8-888-8-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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