Finite Group Databasebeta

← Group #258252

Character table — Group #258252

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-11-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111-11-1-111-11-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111111-11-1-1-1-1-11-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1
χ91111111111111-1-111111-1-1-111-1-111-1-11-1111-11-1-1-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-1-111-1-111-1-11-1-1-11-11-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-1-1-1-1-1-11-111111-11-1-111-1-1-1-111-1-111
χ121111111111111-1-111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-111-111-1-1111-1-1111-1-1-11-1-1-1-11111-1-1-1-111
χ141111111111111-1-1111-1-111-111-1-1111-1-11-1-1-1-1-111111-1-1-1-11111-1-1
χ151111111111111-1-1111-1-111-1-1-1-1-1-1-1111-111-111-1-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-111-1-1-1-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111
χ17222222222222-222-2-2-22222200-2-200-200000-200000000000000000
χ18222222222222-222-2-2-2-2-2-2-2200-2-200200000200000000000000000
χ19222222222222-2-2-2-2-2-222-2-2-2002200200000-200000000000000000
χ20222222222222-2-2-2-2-2-2-2-222-2002200-200000200000000000000000
χ2122222222-2-2-2-2222-2-220000-2002-200002-20000-2200000000000000
χ2222222222-2-2-2-2222-2-220000-2002-20000-2200002-200000000000000
χ2322222222-2-2-2-22-2-2-2-220000200-220000220000-2-200000000000000
χ2422222222-2-2-2-22-2-2-2-220000200-220000-2-200002200000000000000
χ2522222222-2-2-2-2-22222-20000-222-22-2-20-20000020000000000000000
χ2622222222-2-2-2-2-22222-20000-2-2-2-22220200000-20000000000000000
χ2722222222-2-2-2-2-2-2-222-200002222-2-2-20200000-20000000000000000
χ2822222222-2-2-2-2-2-2-222-200002-2-22-2220-20000020000000000000000
χ292-222-2-22-222-2-2-2002-22000002i−2i002i−2i00002i−2i00000000002-2000000
χ302-222-2-22-222-2-2-2002-22000002i−2i002i−2i0000−2i2i0000000000-22000000
χ312-222-2-22-222-2-2-2002-2200000−2i2i00−2i2i00002i−2i0000000000-22000000
χ322-222-2-22-222-2-2-2002-2200000−2i2i00−2i2i0000−2i2i00000000002-2000000
χ332-222-2-22-2-2-2222002-2-2000002i−2i00−2i2i00000000002-20000002i−2i0000
χ342-222-2-22-2-2-2222002-2-2000002i−2i00−2i2i0000000000-22000000−2i2i0000
χ352-222-2-22-2-2-2222002-2-200000−2i2i002i−2i00000000002-2000000−2i2i0000
χ362-222-2-22-2-2-2222002-2-200000−2i2i002i−2i0000000000-220000002i−2i0000
χ37444-44-4-4-44-44-4000000004-40000000000000000000000000000000
χ38444-44-4-4-44-44-400000000-440000000000000000000000000000000
χ39444-44-4-4-4-44-440000004-4000000000000000000000000000000000
χ40444-44-4-4-4-44-44000000-44000000000000000000000000000000000
χ4144-4-4-4-444000004i−4i000000000000000000000000002i−2i2-200000000
χ4244-4-4-4-444000004i−4i00000000000000000000000000−2i2i-2200000000
χ4344-4-4-4-44400000−4i4i000000000000000000000000002i−2i-2200000000
χ4444-4-4-4-44400000−4i4i00000000000000000000000000−2i2i2-200000000
χ454-444-4-44-444-4-4400-44-400000000000000000000000000000000000
χ464-444-4-44-4-4-444-400-44400000000000000000000000000000000000
χ474-44-4-44-444-4-440000000000000000000000000000000000000002i2−2i2
χ484-44-4-44-444-4-44000000000000000000000000000000000000000−2i22i2
χ494-44-4-44-44-444-400000000000000000000000000000000000002i2−2i200
χ504-44-4-44-44-444-40000000000000000000000000000000000000−2i22i200
χ5188-88-88-8-8000000000000000000000000000000000000000000000
χ528-8-888-8-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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