Finite Group Databasebeta

← Group #255263

Character table — Group #255263

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422222244444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11-1-11-1-1-1111-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-11-1-11-1-1-1-1-11-1-1-1-1-1-1-111111111
χ511111111111111111111-1-111-1-1111-1-1-11-1-111-1111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-111-1-1111-1-1-11-1-1-1-1-11-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ91111111111111-1-1111-1-11111-1-111-11-11-11-111-1-1-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-11111-1-111-11-11-11-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1111-1111-11-1-111-1-1-1-111-1-111
χ121111111111111-1-1111-1-111-1-1-1-1-1-1-1-1111-11-1-1-1111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-1-1-1111111-1-11-1-1-11111-1-1-1-1-111-1-11111-1-1
χ141111111111111-1-1111-1-1-1-1111111-1-11-1-1-11-1-11-11111-1-111-1-1-1-111
χ151111111111111-1-1111-1-1-1-1-1-111-1-1-11-1-111-11111-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-111-1-1-11-1-111-1-1-1111111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-222002200200-200000-2000000000000000
χ18222222222222-222-2-2-2-2-2-2-200-2-2002002000002000000000000000
χ19222222222222-2-2-2-2-2-2222200-2-200-200-2000002000000000000000
χ20222222222222-2-2-2-2-2-222-2-2002200-200200000-2000000000000000
χ2122222222-2-2-2-2222-2-222-2002200-2-2-2000-200000200000000000000
χ2222222222-2-2-2-2222-2-222-200-2-20022-2000200000-200000000000000
χ2322222222-2-2-2-22-2-2-2-22-22002200-2-22000200000-200000000000000
χ2422222222-2-2-2-22-2-2-2-22-2200-2-200222000-200000200000000000000
χ2522222222-2-2-2-2-22222-2-2200000000-22-200-22000000000000000000
χ2622222222-2-2-2-2-22222-2-2200000000-2-22002-2000000000000000000
χ2722222222-2-2-2-2-2-2-222-22-20000000022200-2-2000000000000000000
χ2822222222-2-2-2-2-2-2-222-22-2000000002-2-20022000000000000000000
χ292-222-2-22-22-22-22002-2-200002-2002-2000000000002i−2i00000000002i−2i
χ302-222-2-22-22-22-22002-2-200002-2002-200000000000−2i2i0000000000−2i2i
χ312-222-2-22-22-22-22002-2-20000-2200-22000000000002i−2i0000000000−2i2i
χ322-222-2-22-22-22-22002-2-20000-2200-2200000000000−2i2i00000000002i−2i
χ332-222-2-22-2-22-22200-22-200002-200-2200000002i−2i0000000000002i−2i00
χ342-222-2-22-2-22-22200-22-200002-200-220000000−2i2i000000000000−2i2i00
χ352-222-2-22-2-22-22200-22-20000-22002-200000002i−2i000000000000−2i2i00
χ362-222-2-22-2-22-22200-22-20000-22002-20000000−2i2i0000000000002i−2i00
χ37444-44-4-4-4000004i−4i000000000000000000000000002-22i−2i00000000
χ38444-44-4-4-4000004i−4i00000000000000000000000000-22−2i2i00000000
χ39444-44-4-4-400000−4i4i000000000000000000000000002-2−2i2i00000000
χ40444-44-4-4-400000−4i4i00000000000000000000000000-222i−2i00000000
χ4144-44-44-4-44-4-440000000000000000000000000000000002i2−2i2000000
χ4244-44-44-4-44-4-44000000000000000000000000000000000−2i22i2000000
χ4344-44-44-4-4-444-4000000000000000000000000000000000002i2−2i20000
χ4444-44-44-4-4-444-400000000000000000000000000000000000−2i22i20000
χ454-444-4-44-44-44-4-400-44400000000000000000000000000000000000
χ464-444-4-44-4-44-44-4004-4400000000000000000000000000000000000
χ474-4-444-4-4444-4-40000000000004i−4i000000000000000000000000000
χ484-4-444-4-4444-4-4000000000000−4i4i000000000000000000000000000
χ494-4-444-4-44-4-444000000004-40000000000000000000000000000000
χ504-4-444-4-44-4-44400000000-440000000000000000000000000000000
χ5188-8-8-8-888000000000000000000000000000000000000000000000
χ528-88-8-88-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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