Finite Group Databasebeta

← Group #476749

Character table — Group #476749

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888244444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-11-1-111-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-1-1-111-111-11111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-1-1-111-1-1111-1-1-111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-11111-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111
χ911111111111111111111-1-1-1-11111-1-1-1-111-1-111111-1-11-1-11111-1-1-1-1-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1111-111-1-111-1-11111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-111111-1-1-111111-1-1-1-111-1-1-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111
χ1311111111111111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-111111-11111-1-11-1-1-11111-1-1-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1111111111-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1111111-1-1
χ1722222222-2-2-2-2222-2-2-2-220000000022-2-2202-20000-2000000000000000
χ1822222222-2-2-2-2222-2-2-2-220000000022-2-2-20-2200002000000000000000
χ1922222222-2-2-2-2222-2-2-2-2200000000-2-22220-220000-2000000000000000
χ2022222222-2-2-2-2222-2-2-2-2200000000-2-222-202-200002000000000000000
χ2122222222-2-2-2-2-2-2-22222-2000022-2-2000002002-200000-2000000000000
χ2222222222-2-2-2-2-2-2-22222-2000022-2-200000-200-22000002000000000000
χ2322222222-2-2-2-2-2-2-22222-20000-2-22200000200-2200000-2000000000000
χ2422222222-2-2-2-2-2-2-22222-20000-2-22200000-2002-2000002000000000000
χ2522-22-2-22-222-2-22-2-22-22-222i2i−2i−2i000000000000000002-20002i−2i00000000
χ2622-22-2-22-222-2-22-2-22-22-222i2i−2i−2i00000000000000000-22000−2i2i00000000
χ2722-22-2-22-222-2-22-2-22-22-22−2i−2i2i2i000000000000000002-2000−2i2i00000000
χ2822-22-2-22-222-2-22-2-22-22-22−2i−2i2i2i00000000000000000-220002i−2i00000000
χ292-22-2-2-2222-22-2-22-2-2-22220000000000000000000000002-2002-200002-2
χ302-22-2-2-2222-22-2-22-2-2-22220000000000000000000000002-200-220000-22
χ312-22-2-2-2222-22-2-22-2-2-2222000000000000000000000000-22002-20000-22
χ322-22-2-2-2222-22-2-22-2-2-2222000000000000000000000000-2200-2200002-2
χ332-2-2-2222-22-2-2222-22-2-22-20000000000000000002i−2i00000000002-22i−2i00
χ342-2-2-2222-22-2-2222-22-2-22-20000000000000000002i−2i0000000000-22−2i2i00
χ352-2-2-2222-22-2-2222-22-2-22-2000000000000000000−2i2i00000000002-2−2i2i00
χ362-2-2-2222-22-2-2222-22-2-22-2000000000000000000−2i2i0000000000-222i−2i00
χ37444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000
χ38444-44-4-4-40000000000002-22-20022−220022−22000000000000000000000000
χ39444-44-4-4-40000000000002-22-200−222200−2222000000000000000000000000
χ40444-44-4-4-4000000000000-22-220022−2200−2222000000000000000000000000
χ41444-44-4-4-4000000000000-22-2200−22220022−22000000000000000000000000
χ4244-44-4-44-444-4-4-444-44-44-4000000000000000000000000000000000000
χ4344-44-4-44-4-4-4444-4-4-44-444000000000000000000000000000000000000
χ4444-44-4-44-4-4-444-4444-44-4-4000000000000000000000000000000000000
χ4544-4-4-44-440000000000002i−2i−2i2i2i2−2i20022−2200000000000000000000000000
χ4644-4-4-44-440000000000002i−2i−2i2i−2i22i200−222200000000000000000000000000
χ4744-4-4-44-44000000000000−2i2i2i−2i2i2−2i200−222200000000000000000000000000
χ4844-4-4-44-44000000000000−2i2i2i−2i−2i22i20022−2200000000000000000000000000
χ494-44-4-4-4444-44-44-4444-4-4-4000000000000000000000000000000000000
χ504-44-4-4-444-44-444-44-4-444-4000000000000000000000000000000000000
χ514-44-4-4-444-44-44-44-444-4-44000000000000000000000000000000000000
χ524-4-4-4444-44-4-44-4-44-444-44000000000000000000000000000000000000
χ534-4-4-4444-4-444-444-4-444-4-4000000000000000000000000000000000000
χ544-4-4-4444-4-444-4-4-444-4-444000000000000000000000000000000000000
χ558-888-88-8-8000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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