Finite Group Databasebeta

← Group #258251

Character table — Group #258251

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11-111-1-1-1-11-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-11-1-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ5111111111111111111-1-11-1-1111111-1111-1-1-1-1-1111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-11-1-1111111-11-1-1-1-1-1-1-11-1-11111-1-1-1-11111
χ7111111111111111111-1-11-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1111111-1-1-111-1-1111-1111-11-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-111-1-1111-1-1-11-11-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-1-1-111-1-111
χ12111111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11-11-1111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-11111-1-111-1-111-11-111-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-11111-1-1-11111-1-111-1-1-1-1-11-111-11111-1-1-1-11111-1-1
χ15111111111111-1-11111-1-1-111-1-1-1-1-1-1-11111-11-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-11111-1-1-111-1-1-1-1-1-1-11-1-11-11-1111111-1-111-1-1-1-111
χ1722222222222222-2-2-2-22222200-2-200-20000000-2000000000000000
χ1822222222222222-2-2-2-2-2-22-2-200-2-200200000002000000000000000
χ19222222222222-2-2-2-2-2-222-2-2-2002200-200000002000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-22200220020000000-2000000000000000
χ2122222222-2-2-2-2222-2-2200-200002-20000002-2-220000000000000000
χ2222222222-2-2-2-2222-2-2200-200002-2000000-222-20000000000000000
χ2322222222-2-2-2-222-222-200-20022-22-2-2020000000-200000000000000
χ2422222222-2-2-2-222-222-200-200-2-2-22220-20000000200000000000000
χ2522222222-2-2-2-2-2-22-2-220020000-2200000022-2-20000000000000000
χ2622222222-2-2-2-2-2-22-2-220020000-22000000-2-2220000000000000000
χ2722222222-2-2-2-2-2-2-222-200200222-2-2-20-20000000200000000000000
χ2822222222-2-2-2-2-2-2-222-200200-2-22-222020000000-200000000000000
χ2922-22-2-2-2222-2-200-22-22000002i−2i002i−2i002i−2i0000000000002-2000000
χ3022-22-2-2-2222-2-200-22-22000002i−2i002i−2i00−2i2i000000000000-22000000
χ3122-22-2-2-2222-2-200-22-2200000−2i2i00−2i2i002i−2i000000000000-22000000
χ3222-22-2-2-2222-2-200-22-2200000−2i2i00−2i2i00−2i2i0000000000002-2000000
χ3322-22-2-2-22-2-2220022-2-2000002i−2i00−2i2i00000000002-20000002i−2i0000
χ3422-22-2-2-22-2-2220022-2-2000002i−2i00−2i2i0000000000-22000000−2i2i0000
χ3522-22-2-2-22-2-2220022-2-200000−2i2i002i−2i00000000002-2000000−2i2i0000
χ3622-22-2-2-22-2-2220022-2-200000−2i2i002i−2i0000000000-220000002i−2i0000
χ37444-44-4-4-44-44-40000000004-4000000000000000000000000000000
χ38444-44-4-4-44-44-4000000000-44000000000000000000000000000000
χ39444-44-4-4-4-44-440000004-4000000000000000000000000000000000
χ40444-44-4-4-4-44-44000000-44000000000000000000000000000000000
χ4144-44-4-4-4444-4-4004-44-400000000000000000000000000000000000
χ4244-44-4-4-44-4-44400-4-44400000000000000000000000000000000000
χ4344-4-4-444-44-4-440000000000000000000000000000000000000002i2−2i2
χ4444-4-4-444-44-4-44000000000000000000000000000000000000000−2i22i2
χ4544-4-4-444-4-444-400000000000000000000000000000000000002i2−2i200
χ4644-4-4-444-4-444-40000000000000000000000000000000000000−2i22i200
χ474-4-444-44-400004i−4i0000000000000000000000000002-22i−2i00000000
χ484-4-444-44-400004i−4i000000000000000000000000000-22−2i2i00000000
χ494-4-444-44-40000−4i4i0000000000000000000000000002-2−2i2i00000000
χ504-4-444-44-40000−4i4i000000000000000000000000000-222i−2i00000000
χ518-888-88-8-8000000000000000000000000000000000000000000000
χ528-88-8-8-888000000000000000000000000000000000000000000000
χ538-8-8-888-88000000000000000000000000000000000000000000000

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