Finite Group Databasebeta

← Group #455277

Character table — Group #455277

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222222222222222222444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-11-11-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11111-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111111111-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ1111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-11-11-1-11111-1-1-1-111
χ1211111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111-11-1-1-111-1-11111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-11111-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-11-1111-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111-11-111-1-111-1-1-1-111
χ172222222222-2-2-2-222-2-2-2-22222-2-2000022220000-2-2-2-200000000000000000000
χ182222222222-2-2-2-222-2-2-2-22222-2-20000-2-2-2-20000222200000000000000000000
χ192222222222-2-2-2-222-2-2-2-2-2-2-2-222000022-2-20000-2-22200000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-2-2-2220000-2-222000022-2-200000000000000000000
χ2122222222-2-222-2-2-2-222-2-222-2-22-20000000000000000002-2020-2000000000000
χ2222222222-2-222-2-2-2-222-2-222-2-22-2000000000000000000-220-202000000000000
χ2322222222-2-222-2-2-2-222-2-2-2-222-220000000000000000002-20-202000000000000
χ2422222222-2-222-2-2-2-222-2-2-2-222-22000000000000000000-22020-2000000000000
χ2522222222-2-2-2-222-2-2-2-22222-2-2-2200000000000000002-20020-20000000000000
χ2622222222-2-2-2-222-2-2-2-22222-2-2-220000000000000000-2200-2020000000000000
χ2722222222-2-2-2-222-2-2-2-222-2-2222-200000000000000002-200-2020000000000000
χ2822222222-2-2-2-222-2-2-2-222-2-2222-20000000000000000-220020-20000000000000
χ2922-222-2-2-2-2-22-22-2222-22-20000000000002i−2i2i2i−2i−2i002i−2i000000002-20000000000
χ3022-222-2-2-2-2-22-22-2222-22-20000000000002i−2i−2i−2i2i2i002i−2i00000000-220000000000
χ3122-222-2-2-2-2-22-22-2222-22-2000000000000−2i2i2i2i−2i−2i00−2i2i00000000-220000000000
χ3222-222-2-2-2-2-22-22-2222-22-2000000000000−2i2i−2i−2i2i2i00−2i2i000000002-20000000000
χ3322-222-2-2-2-2-2-22-2222-22-220000002i2i−2i−2i002i−2i000000−2i2i00000000002-200000000
χ3422-222-2-2-2-2-2-22-2222-22-220000002i2i−2i−2i00−2i2i0000002i−2i0000000000-2200000000
χ3522-222-2-2-2-2-2-22-2222-22-22000000−2i−2i2i2i002i−2i000000−2i2i0000000000-2200000000
χ3622-222-2-2-2-2-2-22-2222-22-22000000−2i−2i2i2i00−2i2i0000002i−2i00000000002-200000000
χ3722-2-2-2-2222-222222-2-2-2-2-200000000002-20000002-200000000000000002i−2i002i−2i
χ3822-2-2-2-2222-222222-2-2-2-2-200000000002-20000002-20000000000000000−2i2i00−2i2i
χ3922-2-2-2-2222-222222-2-2-2-2-20000000000-22000000-2200000000000000002i−2i00−2i2i
χ4022-2-2-2-2222-222222-2-2-2-2-20000000000-22000000-220000000000000000−2i2i002i−2i
χ4122-2-2-2-2222-2-2-2-2-22-2222200000000002-2000000-22000000000000002-2002-200
χ4222-2-2-2-2222-2-2-2-2-22-2222200000000002-2000000-2200000000000000-2200-2200
χ4322-2-2-2-2222-2-2-2-2-22-222220000000000-220000002-2000000000000002-200-2200
χ4422-2-2-2-2222-2-2-2-2-22-222220000000000-220000002-200000000000000-22002-200
χ45444-4-44-4-44-44-4-44-44-444-4000000000000000000000000000000000000000000
χ46444-4-44-4-44-4-444-4-444-4-44000000000000000000000000000000000000000000
χ47444-4-44-4-4-444-44-44-4-44-44000000000000000000000000000000000000000000
χ48444-4-44-4-4-44-44-444-44-44-4000000000000000000000000000000000000000000
χ4944-444-4-4-4444-4-44-4-44-4-44000000000000000000000000000000000000000000
χ5044-444-4-4-444-444-4-4-4-444-4000000000000000000000000000000000000000000
χ5144-4-4-4-444-4444-4-4-44-4-444000000000000000000000000000000000000000000
χ5244-4-4-4-444-44-4-444-4444-4-4000000000000000000000000000000000000000000
χ534-444-4-44-4000000000000004-4002i−2i2i−2i00002i−2i2i−2i000000000000000000000000
χ544-444-4-44-4000000000000004-400−2i2i−2i2i0000−2i2i−2i2i000000000000000000000000
χ554-444-4-44-400000000000000-44002i−2i2i−2i0000−2i2i−2i2i000000000000000000000000
χ564-444-4-44-400000000000000-4400−2i2i−2i2i00002i−2i2i−2i000000000000000000000000
χ574-4-44-44-440000000000004-400002-2-2200002-2-22000000000000000000000000
χ584-4-44-44-440000000000004-40000-222-20000-222-2000000000000000000000000
χ594-4-44-44-44000000000000-4400002-2-220000-222-2000000000000000000000000
χ604-4-44-44-44000000000000-440000-222-200002-2-22000000000000000000000000
χ618-88-88-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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