Finite Group Databasebeta

← Group #477151

Character table — Group #477151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11111-1-1
χ311111111111111111111111111111111-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-11-1-1-111-1-111
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11111-111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-1111-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111111-1-1-1-1-11111
χ911111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111
χ1011111111111111111111-1-1-1-11111-1-1-1-111-1-1-11111-1-1-11111-1-1-1-111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-111111-1-111-1-111-1-1-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-111-1-11111-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-11-1-1-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1111-1-11-111-1-1-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-1-1-1111-1111111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-11-111-1-1-11-1-1111111
χ1722222222-2-2-2-222-2-22-22-20000000022-2-22-20020000-200000000000000
χ1822222222-2-2-2-222-2-22-22-20000000022-2-2-2200-20000200000000000000
χ1922222222-2-2-2-222-2-22-22-200000000-2-2222-200-20000200000000000000
χ2022222222-2-2-2-222-2-22-22-200000000-2-222-220020000-200000000000000
χ2122222222-2-2-2-2-2-222-22-22000022-2-2000000000002200000-2-200000000
χ2222222222-2-2-2-2-2-222-22-22000022-2-200000000000-2-2000002200000000
χ2322222222-2-2-2-2-2-222-22-220000-2-222000000000002-200000-2200000000
χ2422222222-2-2-2-2-2-222-22-220000-2-22200000000000-22000002-200000000
χ2522-2-222-2-22-2-222222-2-2-2-222-2-200000000002-202-200000000000000000
χ2622-2-222-2-22-2-222222-2-2-2-222-2-20000000000-220-2200000000000000000
χ2722-2-222-2-22-2-222222-2-2-2-2-2-22200000000002-20-2200000000000000000
χ2822-2-222-2-22-2-222222-2-2-2-2-2-2220000000000-2202-200000000000000000
χ292-222-22-2-2-22-222-22-2-2-2220000000000000000000000002i−2i002i−2i2-20000
χ302-222-22-2-2-22-222-22-2-2-2220000000000000000000000002i−2i00−2i2i-220000
χ312-222-22-2-2-22-222-22-2-2-222000000000000000000000000−2i2i002i−2i-220000
χ322-222-22-2-2-22-222-22-2-2-222000000000000000000000000−2i2i00−2i2i2-20000
χ332-2-2-2-2222-2-222-22-22-2-22200000000000000000000002-2000000002-22-2
χ342-2-2-2-2222-2-222-22-22-2-22200000000000000000000002-200000000-22-22
χ352-2-2-2-2222-2-222-22-22-2-2220000000000000000000000-22000000002-2-22
χ362-2-2-2-2222-2-222-22-22-2-2220000000000000000000000-2200000000-222-2
χ37444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000
χ38444-4-4-44-40000000000002-22-222−22000022−22000000000000000000000000
χ39444-4-4-44-40000000000002-22-2−22220000−2222000000000000000000000000
χ40444-4-4-44-4000000000000-22-2222−220000−2222000000000000000000000000
χ41444-4-4-44-4000000000000-22-22−2222000022−22000000000000000000000000
χ4244-44-4-4-440000000000002-2-22002i2−2i22i2−2i200000000000000000000000000
χ4344-44-4-4-440000000000002-2-2200−2i22i2−2i22i200000000000000000000000000
χ4444-44-4-4-44000000000000-222-2002i2−2i2−2i22i200000000000000000000000000
χ4544-44-4-4-44000000000000-222-200−2i22i22i2−2i200000000000000000000000000
χ4644-4-444-4-44-4-44-4-4-4-44444000000000000000000000000000000000000
χ4744-4-444-4-4-444-444-4-4-44-44000000000000000000000000000000000000
χ4844-4-444-4-4-444-4-4-4444-44-4000000000000000000000000000000000000
χ494-444-44-4-44-44-44-4-44-444-4000000000000000000000000000000000000
χ504-444-44-4-44-44-4-444-44-4-44000000000000000000000000000000000000
χ514-444-44-4-4-44-44-44-4444-4-4000000000000000000000000000000000000
χ524-4-4-4-444444-4-44-4-444-4-44000000000000000000000000000000000000
χ534-4-4-4-444444-4-4-444-4-444-4000000000000000000000000000000000000
χ544-4-4-4-4444-4-4444-44-444-4-4000000000000000000000000000000000000
χ558-88-88-8-88000000000000000000000000000000000000000000000000
χ568-8-888-88-8000000000000000000000000000000000000000000000000

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