Finite Group Databasebeta

← Group #258228

Character table — Group #258228

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-11-1-1111111-11-11-1-111-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-11-1-1111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-11-1-1-1-111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1
χ9111111111111-1-1111111-1-1-111-1-1111-1-1-11-1111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-111-1-1111-1-1-11-1-1-11-111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-1-1-1-1-1-1-111-11-1111-11-1-111-1-1-1-111-1-111
χ12111111111111-1-1111111-1-1-1-1-1-1-1-1-111-11-11-1-1-1111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-11111-1-111-1-11-1-1111-11-1-1-1-11111-1-1-1-111
χ14111111111111-1-11111-1-1-11111-1-111-1-11-1-11-1-1-111111-1-1-1-11111-1-1
χ15111111111111-1-11111-1-1-111-1-1-1-1-1-1-11111-1111-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-11111-1-1-111-1-1-1-1-1-1-11111-1-1-11-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-22222200-2-200-20-2000000000000000000000
χ1822222222222222-2-2-2-2-2-22-2-200-2-200202000000000000000000000
χ19222222222222-2-2-2-2-2-222-2-2-2002200-202000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-22200220020-2000000000000000000000
χ2122222222-2-2-2-2222-2-2200-200002-20000002-200-2200000000000000
χ2222222222-2-2-2-2222-2-2200-200002-2000000-22002-200000000000000
χ2322222222-2-2-2-222-222-200-20022-22-2-2020-200000000000000000000
χ2422222222-2-2-2-222-222-200-200-2-2-22220-20200000000000000000000
χ2522222222-2-2-2-2-2-22-2-220020000-220000002200-2-200000000000000
χ2622222222-2-2-2-2-2-22-2-220020000-22000000-2-2002200000000000000
χ2722222222-2-2-2-2-2-2-222-200200222-2-2-20-20200000000000000000000
χ2822222222-2-2-2-2-2-2-222-200200-2-22-222020-200000000000000000000
χ292-2-2222-2-222-2-200-22-22000002i−2i002i−2i00000000002i−2i0000002-20000
χ302-2-2222-2-222-2-200-22-22000002i−2i002i−2i0000000000−2i2i000000-220000
χ312-2-2222-2-222-2-200-22-2200000−2i2i00−2i2i00000000002i−2i000000-220000
χ322-2-2222-2-222-2-200-22-2200000−2i2i00−2i2i0000000000−2i2i0000002-20000
χ332-2-2222-2-2-2-2220022-2-2000002i−2i00−2i2i0000002-2000000002i−2i000000
χ342-2-2222-2-2-2-2220022-2-2000002i−2i00−2i2i000000-2200000000−2i2i000000
χ352-2-2222-2-2-2-2220022-2-200000−2i2i002i−2i0000002-200000000−2i2i000000
χ362-2-2222-2-2-2-2220022-2-200000−2i2i002i−2i000000-22000000002i−2i000000
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
χ4144-44-4-4-4400004i−4i0000000000000000000000000002i−2i2-200000000
χ4244-44-4-4-4400004i−4i000000000000000000000000000−2i2i-2200000000
χ4344-44-4-4-440000−4i4i0000000000000000000000000002i−2i-2200000000
χ4444-44-4-4-440000−4i4i000000000000000000000000000−2i2i2-200000000
χ454-4-4444-4-444-4-4004-44-400000000000000000000000000000000000
χ464-4-4444-4-4-4-44400-4-44400000000000000000000000000000000000
χ474-4-4-44-4444-4-44000000000000000000000000000000000000022−2200
χ484-4-4-44-4444-4-440000000000000000000000000000000000000−222200
χ494-4-4-44-444-444-400000000000000000000000000000000000000022−22
χ504-4-4-44-444-444-4000000000000000000000000000000000000000−2222
χ5188-8-8-888-8000000000000000000000000000000000000000000000
χ528-888-8-88-8000000000000000000000000000000000000000000000
χ538-88-8-88-88000000000000000000000000000000000000000000000

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