Finite Group Databasebeta

← Group #98402

Character table — Group #98402

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444224444444244444448888888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-1111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111111-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211111111-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-111111-111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-111111-111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222-2-222-2-222-2-200-22200-2-2200-200000000000000000000
χ182222222222-2-222-2-222-2-200-2-2-20022-200200000000000000000000
χ19222222222-22-2-2-2222-22-222-200-2-20002-2000000000000000000000
χ20222222222-22-2-2-2222-22-2-2-2-20022000-22000000000000000000000
χ21222222222-2-22-2-2-2-22-2-2200200000000002-22-20000000000000000
χ22222222222-2-22-2-2-2-22-2-220020000000000-22-220000000000000000
χ2322222222-222-2-2-2-2-2-222-200200000000002-2-220000000000000000
χ2422222222-222-2-2-2-2-2-222-20020000000000-222-20000000000000000
χ2522222222-22-22-2-222-22-2222-200-2-2000-22000000000000000000000
χ2622222222-22-22-2-222-22-22-2-2-200220002-2000000000000000000000
χ2722222222-2-22222-2-2-2-22200-2220022-200-200000000000000000000
χ2822222222-2-22222-2-2-2-22200-2-2-200-2-2200200000000000000000000
χ292-2-222-22-2002-22-20000-220002i−2i002i−2i00000000i2−i2i2−i200002−22−20000
χ302-2-222-22-2002-22-20000-220002i−2i002i−2i00000000−i2i2−i2i20000−22−220000
χ312-2-222-22-2002-22-20000-22000−2i2i00−2i2i00000000i2−i2i2−i20000−22−220000
χ322-2-222-22-2002-22-20000-22000−2i2i00−2i2i00000000−i2i2−i2i200002−22−20000
χ332-2-222-22-200-222-200002-20002i−2i00−2i2i000000002−2−220000−i2i2i2−i20000
χ342-2-222-22-200-222-200002-20002i−2i00−2i2i00000000−222−20000i2−i2−i2i20000
χ352-2-222-22-200-222-200002-2000−2i2i002i−2i000000002−2−220000i2−i2−i2i20000
χ362-2-222-22-200-222-200002-2000−2i2i002i−2i00000000−222−20000−i2i2i2−i20000
χ3744-44-44-4-4040000000-4000000000000000000000002-22-200000000
χ3844-44-44-4-4040000000-400000000000000000000000-22-2200000000
χ3944-44-44-4-40-400000004000000000000000000000002i−2i−2i2i00000000
χ4044-44-44-4-40-40000000400000000000000000000000−2i2i2i−2i00000000
χ414-44-444-4-440000000-4000000000000000000000000000000002-22-2
χ424-44-444-4-440000000-400000000000000000000000000000000-22-22
χ434-44-444-4-4-400000004000000000000000000000000000000002i−2i−2i2i
χ444-44-444-4-4-40000000400000000000000000000000000000000−2i2i2i−2i
χ454-4-444-44-40044-440000-4-4000000000000000000000000000000000
χ464-4-444-44-400-4-4-44000044000000000000000000000000000000000
χ474-4-4-4-44440000004-40000000004-400000000000000000000000000
χ484-4-4-4-44440000004-4000000000-4400000000000000000000000000
χ494-4-4-4-4444000000-4400004-40000000000000000000000000000000
χ504-4-4-4-4444000000-440000-440000000000000000000000000000000
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ5288-8-88-8-88000000000000000000000000000000000000000000000
χ538-888-8-8-88000000000000000000000000000000000000000000000

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