Finite Group Databasebeta

← Group #476745

Character table — Group #476745

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888244444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ311111111111111111111111111111111-11-11-1-11-1-1-1-11-1-1-1-111-1-1-1-111
χ411111111111111111111111111111111-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-111-1-1111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-1-111-11-1-111-1-1-111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-111-1-11-1-1-1111-1-11111-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-111-1-1-1-1-1-11111
χ911111111111111111111-1-1-1-11111-1-1-1-111-111-1111111-1-1-1-1-1-1-1-111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-11-1-1-11-1-1-1-1-1-1-1111111-1-11111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1111-111-1-1-1-111111-1-111-1-1-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-11-11111-1-1-1-1-11111-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-11111111-111-111-1-11-1-111-1-1-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-111111-111111-1-111-111-1-111-1-1-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-111111-1-1-1-1111111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-11-1-1111-1-1-1-1-111111111-1-1
χ1722222222-2-2-2-222-2-22-22-20000000022-2-22020-2-2000000000000000000
χ1822222222-2-2-2-222-2-22-22-20000000022-2-2-20-2022000000000000000000
χ1922222222-2-2-2-222-2-22-22-200000000-2-22220-20-22000000000000000000
χ2022222222-2-2-2-222-2-22-22-200000000-2-222-20202-2000000000000000000
χ2122222222-2-2-2-2-2-222-22-22000022-2-20000020200-20000-2000000000000
χ2222222222-2-2-2-2-2-222-22-22000022-2-200000-20-200200002000000000000
χ2322222222-2-2-2-2-2-222-22-220000-2-2220000020-20020000-2000000000000
χ2422222222-2-2-2-2-2-222-22-220000-2-22200000-20200-200002000000000000
χ25222-2-22-2-22-2-222-22-2-2-22200000000000000000002i−2i00000002i−2i2-20000
χ26222-2-22-2-22-2-222-22-2-2-22200000000000000000002i−2i0000000−2i2i-220000
χ27222-2-22-2-22-2-222-22-2-2-2220000000000000000000−2i2i00000002i−2i-220000
χ28222-2-22-2-22-2-222-22-2-2-2220000000000000000000−2i2i0000000−2i2i2-20000
χ292-2-22-22-2222-2-2-2-2-2-222220000000000000000000000002-20000002-22-2
χ302-2-22-22-2222-2-2-2-2-2-222220000000000000000000000002-2000000-22-22
χ312-2-22-22-2222-2-2-2-2-2-22222000000000000000000000000-220000002-2-22
χ322-2-22-22-2222-2-2-2-2-2-22222000000000000000000000000-22000000-222-2
χ332-2-2-2222-22-22-22-22-222-2-22i2i−2i−2i000000000000000002-20002i−2i00000000
χ342-2-2-2222-22-22-22-22-222-2-22i2i−2i−2i00000000000000000-22000−2i2i00000000
χ352-2-2-2222-22-22-22-22-222-2-2−2i−2i2i2i000000000000000002-2000−2i2i00000000
χ362-2-2-2222-22-22-22-22-222-2-2−2i−2i2i2i00000000000000000-220002i−2i00000000
χ37444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000
χ38444-4-44-4-44-4-44-44-4444-4-4000000000000000000000000000000000000
χ39444-4-44-4-4-444-44-4-44-444-4000000000000000000000000000000000000
χ40444-4-44-4-4-444-4-444-44-4-44000000000000000000000000000000000000
χ4144-444-4-4-40000000000002-22-222−220022−2200000000000000000000000000
χ4244-444-4-4-40000000000002-22-2−222200−222200000000000000000000000000
χ4344-444-4-4-4000000000000-22-2222−2200−222200000000000000000000000000
χ4444-444-4-4-4000000000000-22-22−22220022−2200000000000000000000000000
χ454-44-44-4-440000000000002i−2i−2i2i0022−22002i2−2i2000000000000000000000000
χ464-44-44-4-440000000000002i−2i−2i2i00−222200−2i22i2000000000000000000000000
χ474-44-44-4-44000000000000−2i2i2i−2i0022−2200−2i22i2000000000000000000000000
χ484-44-44-4-44000000000000−2i2i2i−2i00−2222002i2−2i2000000000000000000000000
χ494-4-44-44-4444-4-44444-4-4-4-4000000000000000000000000000000000000
χ504-4-44-44-44-4-44444-4-4-44-44000000000000000000000000000000000000
χ514-4-44-44-44-4-444-4-4444-44-4000000000000000000000000000000000000
χ524-4-4-4444-44-44-4-44-44-4-444000000000000000000000000000000000000
χ534-4-4-4444-4-44-444-4-444-4-44000000000000000000000000000000000000
χ544-4-4-4444-4-44-44-444-4-444-4000000000000000000000000000000000000
χ5588-8-8-8-888000000000000000000000000000000000000000000000000
χ568-888-8-88-8000000000000000000000000000000000000000000000000

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