Finite Group Databasebeta

← Group #476396

Character table — Group #476396

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888222244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-11-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-11-11-1-1-1-11-1-1-1-111111-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-11-1-111-1-1111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-111-1-1-11111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-111111-1-1-1-111
χ911111111111111111111-1-1-1-11111-1-1-1-11111-11111-11-1-1-1-11-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-11111-1-1-1-111-1-11-111-11-1-1-1-1-1-1111111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-11-1-11111-11111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-11111111-1-1-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1111-1-111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-11-1-111-111-1-11111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1111-11111111-1-1-111-1-1-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-111-1-11-1-1111111
χ1722222222-2-2-2-222-22-2-2-22000022-2-200000002020000-20000-200000000
χ1822222222-2-2-2-222-22-2-2-22000022-2-20000000-20-2000020000200000000
χ1922222222-2-2-2-222-22-2-2-220000-2-222000000020-20000-20000200000000
χ2022222222-2-2-2-222-22-2-2-220000-2-2220000000-202000020000-200000000
χ2122222222-2-2-2-2-2-22-2222-20000000022-2-200202000-2-200000000000000
χ2222222222-2-2-2-2-2-22-2222-20000000022-2-200-20-20002200000000000000
χ2322222222-2-2-2-2-2-22-2222-200000000-2-2220020-2000-2200000000000000
χ2422222222-2-2-2-2-2-22-2222-200000000-2-22200-2020002-200000000000000
χ25222-2-22-2-222-2-2-2-2222-2-22000000000000000000000002i−2i000002i−2i002-2
χ26222-2-22-2-222-2-2-2-2222-2-22000000000000000000000002i−2i00000−2i2i00-22
χ27222-2-22-2-222-2-2-2-2222-2-2200000000000000000000000−2i2i000002i−2i00-22
χ28222-2-22-2-222-2-2-2-2222-2-2200000000000000000000000−2i2i00000−2i2i002-2
χ292-2-22-222-22-22-22-222-22-2-22i2i−2i−2i000000000000002-2000002i−2i000000000
χ302-2-22-222-22-22-22-222-22-2-22i2i−2i−2i00000000000000-2200000−2i2i000000000
χ312-2-22-222-22-22-22-222-22-2-2−2i−2i2i2i000000000000002-200000−2i2i000000000
χ322-2-22-222-22-22-22-222-22-2-2−2i−2i2i2i00000000000000-22000002i−2i000000000
χ332-2-2-222-222-2-222-2-2-222-220000000000002-2000000000000002-2002-200
χ342-2-2-222-222-2-222-2-2-222-220000000000002-200000000000000-2200-2200
χ352-2-2-222-222-2-222-2-2-222-22000000000000-22000000000000002-200-2200
χ362-2-2-222-222-2-222-2-2-222-22000000000000-2200000000000000-22002-200
χ37444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000
χ38444-4-44-4-444-4-444-4-4-444-4000000000000000000000000000000000000
χ39444-4-44-4-4-4-444444-44-4-4-4000000000000000000000000000000000000
χ40444-4-44-4-4-4-444-4-4-44-4444000000000000000000000000000000000000
χ4144-4-44-44-40000000000002i−2i2i−2i22−22002i2−2i200000000000000000000000000
χ4244-4-44-44-40000000000002i−2i2i−2i−222200−2i22i200000000000000000000000000
χ4344-4-44-44-4000000000000−2i2i−2i2i22−2200−2i22i200000000000000000000000000
χ4444-4-44-44-4000000000000−2i2i−2i2i−2222002i2−2i200000000000000000000000000
χ454-44-4-4-4440000000000002-2-220022−220022−22000000000000000000000000
χ464-44-4-4-4440000000000002-2-2200−222200−2222000000000000000000000000
χ474-44-4-4-444000000000000-222-20022−2200−2222000000000000000000000000
χ484-44-4-4-444000000000000-222-200−22220022−22000000000000000000000000
χ494-4-44-444-44-44-4-44-4-44-444000000000000000000000000000000000000
χ504-4-44-444-4-44-444-4-444-44-4000000000000000000000000000000000000
χ514-4-44-444-4-44-44-444-4-44-44000000000000000000000000000000000000
χ524-4-4-444-444-4-44-4444-4-44-4000000000000000000000000000000000000
χ534-4-4-444-44-444-44-44-4-4-444000000000000000000000000000000000000
χ544-4-4-444-44-444-4-44-4444-4-4000000000000000000000000000000000000
χ5588-88-8-8-88000000000000000000000000000000000000000000000000
χ568-8888-8-8-8000000000000000000000000000000000000000000000000

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