Finite Group Databasebeta

← Group #460477

Character table — Group #460477

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222222222222444422444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-111-1-1111111111-11-11-11-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-111-1-111111111-11-11-11-11-1-1-1-11111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-111111111
χ8111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11-11-111111-1-1-1-11111
χ911111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-11-111-111-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111-11-1-11-1-111-1-11111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11-111-1-1-111-1-111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-11-1-1111-1-111-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2220000000000000000000000000000
χ1822222222222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-20000000000000000000000000000
χ1922222222222-2-2-2-2-2-2-2-22-2-2-2-222-2-22222-2-20000000000000000000000000000
χ2022222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-222-2-222220000000000000000000000000000
χ2122222222-2-2-222-2-222-2-2-222-2-20000002-2000000000002020-20-2000000000000
χ2222222222-2-2-222-2-222-2-2-222-2-20000002-200000000000-20-20202000000000000
χ2322222222-2-2-222-2-222-2-2-2-2-222000000-220000000000020-2020-2000000000000
χ2422222222-2-2-222-2-222-2-2-2-2-222000000-2200000000000-2020-202000000000000
χ2522222222-2-2-2-2-222-2-222-222-2-2000000-2200000000002020-20-20000000000000
χ2622222222-2-2-2-2-222-2-222-222-2-2000000-220000000000-20-202020000000000000
χ2722222222-2-2-2-2-222-2-222-2-2-2220000002-2000000000020-2020-20000000000000
χ2822222222-2-2-2-2-222-2-222-2-2-2220000002-20000000000-2020-2020000000000000
χ292222-2-2-2-222-22-22-22-22-2-200002-22-20000000000000000000000002-2002-20000
χ302222-2-2-2-222-22-22-22-22-2-200002-22-2000000000000000000000000-2200-220000
χ312222-2-2-2-222-22-22-22-22-2-20000-22-220000000000000000000000002-200-220000
χ322222-2-2-2-222-22-22-22-22-2-20000-22-22000000000000000000000000-22002-20000
χ332222-2-2-2-222-2-22-22-22-22-200002-2-2200000000000000000000002-2002-2000000
χ342222-2-2-2-222-2-22-22-22-22-200002-2-220000000000000000000000-2200-22000000
χ352222-2-2-2-222-2-22-22-22-22-20000-222-200000000000000000000002-200-22000000
χ362222-2-2-2-222-2-22-22-22-22-20000-222-20000000000000000000000-22002-2000000
χ372-2-22-222-22-222-2-22-222-2-2000000002-2002-200002i2i−2i−2i00000000000000002i−2i00
χ382-2-22-222-22-222-2-22-222-2-2000000002-2002-20000−2i−2i2i2i0000000000000000−2i2i00
χ392-2-22-222-22-222-2-22-222-2-200000000-2200-2200002i2i−2i−2i0000000000000000−2i2i00
χ402-2-22-222-22-222-2-22-222-2-200000000-2200-220000−2i−2i2i2i00000000000000002i−2i00
χ412-2-22-222-22-22-222-22-2-22-2000000002-200-222i2i−2i−2i00000000000000000000002i−2i
χ422-2-22-222-22-22-222-22-2-22-2000000002-200-22−2i−2i2i2i0000000000000000000000−2i2i
χ432-2-22-222-22-22-222-22-2-22-200000000-22002-22i2i−2i−2i0000000000000000000000−2i2i
χ442-2-22-222-22-22-222-22-2-22-200000000-22002-2−2i−2i2i2i00000000000000000000002i−2i
χ454444-4-4-4-4-4-444-4-444-4-444000000000000000000000000000000000000000000
χ464444-4-4-4-4-4-44-444-4-444-44000000000000000000000000000000000000000000
χ4744-4-44-44-4000000000000004-400000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4844-4-44-44-4000000000000004-40000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ4944-4-44-44-400000000000000-4400000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ5044-4-44-44-400000000000000-440000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ514-44-4-4-4440000000000004-40000000000002-2-222-2-2200000000000000000000
χ524-44-4-4-4440000000000004-4000000000000-222-2-222-200000000000000000000
χ534-44-4-4-444000000000000-440000000000002-2-22-222-200000000000000000000
χ544-44-4-4-444000000000000-44000000000000-222-22-2-2200000000000000000000
χ554-4-444-4-444-4-444-4-4-4-4444000000000000000000000000000000000000000000
χ564-4-444-4-444-4-4-4-44444-4-44000000000000000000000000000000000000000000
χ574-4-444-4-44-4444444-4-4-4-4-4000000000000000000000000000000000000000000
χ584-4-444-4-44-444-4-4-4-44444-4000000000000000000000000000000000000000000
χ594-4-44-444-4-44-44-44-4-44-444000000000000000000000000000000000000000000
χ604-4-44-444-4-44-4-44-444-44-44000000000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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