Finite Group Databasebeta

← Group #258269

Character table — Group #258269

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11111-1-1-11-1-1-11-111-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-11111-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1111-1-11111-1-11-1-1-1111-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1111-1-11111-1-11-1-1-11-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-11-1-1-1-111-1-11-1-111-1-111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-11-1-1-1-111-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1
χ9111111111111-1-1111111-111-1-1-1-111-11-11-1-1-1111-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-111-1-1-1-111-11-11-1-1-1-1-1111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-11-1111-1-1-111-1-1-1-111-1-111
χ12111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-11-11-1-1-111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-11111-1-1111-1-1-111-111-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-11111-1-1-11111-1-1111-1-1-111-1-1-1-11111-1-1-1-11111-1-1
χ15111111111111-1-11111-1-1-1-1-111-1-1-1-1-1-111-111111-1-1-1-111-1-11111-1-1
χ16111111111111-1-11111-1-1-1-1-111-1-1-1-1-1-111-111-1-111111-1-111-1-1-1-111
χ1722222222222222-2-2-2-22220022-2-2000-2000-2000000000000000000
χ1822222222222222-2-2-2-2-2-2200-2-2-2-200020002000000000000000000
χ19222222222222-2-2-2-2-2-222-200-2-222000-20002000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-20022220002000-2000000000000000000
χ2122222222-2-2-2-2222-2-2200-200002-2002002-20000-200000000000000
χ2222222222-2-2-2-2222-2-2200-200002-200-200-220000200000000000000
χ2322222222-2-2-2-222-222-200-22200-22-2-2002000-200000000000000000
χ2422222222-2-2-2-222-222-200-2-2-200-222200-2000200000000000000000
χ2522222222-2-2-2-2-2-22-2-220020000-2200200-2-20000200000000000000
χ2622222222-2-2-2-2-2-22-2-220020000-2200-200220000-200000000000000
χ2722222222-2-2-2-2-2-2-222-200222002-2-2-200-2000200000000000000000
χ2822222222-2-2-2-2-2-2-222-2002-2-2002-222002000-200000000000000000
χ292-22-2-222-222-2-200-22-220002i−2i00002i−2i00000000002i−2i0000002-20000
χ302-22-2-222-222-2-200-22-220002i−2i00002i−2i0000000000−2i2i000000-220000
χ312-22-2-222-222-2-200-22-22000−2i2i0000−2i2i00000000002i−2i000000-220000
χ322-22-2-222-222-2-200-22-22000−2i2i0000−2i2i0000000000−2i2i0000002-20000
χ332-22-2-222-2-2-2220022-2-20002i−2i0000−2i2i00000002-200000002i−2i000000
χ342-22-2-222-2-2-2220022-2-20002i−2i0000−2i2i0000000-220000000−2i2i000000
χ352-22-2-222-2-2-2220022-2-2000−2i2i00002i−2i00000002-20000000−2i2i000000
χ362-22-2-222-2-2-2220022-2-2000−2i2i00002i−2i0000000-2200000002i−2i000000
χ37444-4-4-4-4400004i−4i0000000000000000000000000002i−2i2-200000000
χ38444-4-4-4-4400004i−4i000000000000000000000000000−2i2i-2200000000
χ39444-4-4-4-440000−4i4i0000000000000000000000000002i−2i-2200000000
χ40444-4-4-4-440000−4i4i000000000000000000000000000−2i2i2-200000000
χ4144-44-44-4-44-44-400000000000000000000000000000000000000022−22
χ4244-44-44-4-44-44-4000000000000000000000000000000000000000−2222
χ4344-44-44-4-4-44-4400000000000000000000000000000000000002i2−2i200
χ4444-44-44-4-4-44-440000000000000000000000000000000000000−2i22i200
χ454-44-4-444-444-4-4004-44-400000000000000000000000000000000000
χ464-44-4-444-4-4-44400-4-44400000000000000000000000000000000000
χ474-4-4-444-444-4-440000004-4000000000000000000000000000000000
χ484-4-4-444-444-4-44000000-44000000000000000000000000000000000
χ494-4-4-444-44-444-4000000000004i−4i0000000000000000000000000000
χ504-4-4-444-44-444-400000000000−4i4i0000000000000000000000000000
χ5188-8-88-88-8000000000000000000000000000000000000000000000
χ528-8888-8-8-8000000000000000000000000000000000000000000000
χ538-8-88-8-888000000000000000000000000000000000000000000000

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