Finite Group Databasebeta

← Group #478244

Character table — Group #478244

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111-11-111-1-1-1-11-11-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-11-1111-1-1-1-1-11-11-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111111-1-1111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-111-1-1-11111-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-111111-1-1-111-1-1111-1-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-11111-1-1-1-111-1-1-11-1-111-1-1-1-1-11111111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1111-1-11111-11-1-1-1-111-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11-11111-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-11111111-111-1-1-1-1111-111-1-111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-111-11-1-111-1-11111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-11-1-1-1-1-1111111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-11111111-1-1-111111-1-1-1-1-1-1
χ1722222222-2-2-2-222-2-22-22-20000000022-2-200002200000000-2-200000000
χ1822222222-2-2-2-222-2-22-22-20000000022-2-20000-2-2000000002200000000
χ1922222222-2-2-2-222-2-22-22-200000000-2-22200002-200000000-2200000000
χ2022222222-2-2-2-222-2-22-22-200000000-2-2220000-22000000002-200000000
χ2122222222-2-2-2-2-2-222-22-22000022-2-20000002200000000-2-20000000000
χ2222222222-2-2-2-2-2-222-22-22000022-2-2000000-2-200000000220000000000
χ2322222222-2-2-2-2-2-222-22-220000-2-2220000002-200000000-220000000000
χ2422222222-2-2-2-2-2-222-22-220000-2-222000000-22000000002-20000000000
χ25222-2-22-2-22-2-222222-2-2-2-222-2-2000000002-200002-20000000000000000
χ26222-2-22-2-22-2-222222-2-2-2-222-2-200000000-220000-220000000000000000
χ27222-2-22-2-22-2-222222-2-2-2-2-2-222000000002-20000-220000000000000000
χ28222-2-22-2-22-2-222222-2-2-2-2-2-22200000000-2200002-20000000000000000
χ292-2-22-222-222-2-22-22-222-2-200000000000000000000002-200002i−2i00002i−2i
χ302-2-22-222-222-2-22-22-222-2-200000000000000000000002-20000−2i2i0000−2i2i
χ312-2-22-222-222-2-22-22-222-2-20000000000000000000000-2200002i−2i0000−2i2i
χ322-2-22-222-222-2-22-22-222-2-20000000000000000000000-220000−2i2i00002i−2i
χ332-2-2-222-222-22-2-22-2222-2-2000000000000000000002-2000000002i−2i2i−2i00
χ342-2-2-222-222-22-2-22-2222-2-2000000000000000000002-200000000−2i2i−2i2i00
χ352-2-2-222-222-22-2-22-2222-2-200000000000000000000-22000000002i−2i−2i2i00
χ362-2-2-222-222-22-2-22-2222-2-200000000000000000000-2200000000−2i2i2i−2i00
χ37444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000
χ38444-4-44-4-44-4-44-4-4-4-44444000000000000000000000000000000000000
χ39444-4-44-4-4-444-444-4-4-44-44000000000000000000000000000000000000
χ40444-4-44-4-4-444-4-4-4444-44-4000000000000000000000000000000000000
χ4144-44-4-4-440000000000002i−2i2i−2i0022−222i2−2i200000000000000000000000000
χ4244-44-4-4-440000000000002i−2i2i−2i00−2222−2i22i200000000000000000000000000
χ4344-44-4-4-44000000000000−2i2i−2i2i0022−22−2i22i200000000000000000000000000
χ4444-44-4-4-44000000000000−2i2i−2i2i00−22222i2−2i200000000000000000000000000
χ4544-4-44-44-40000000000002i−2i−2i2i2i2−2i2000022−22000000000000000000000000
χ4644-4-44-44-40000000000002i−2i−2i2i−2i22i20000−2222000000000000000000000000
χ4744-4-44-44-4000000000000−2i2i2i−2i2i2−2i20000−2222000000000000000000000000
χ4844-4-44-44-4000000000000−2i2i2i−2i−2i22i2000022−22000000000000000000000000
χ494-4-44-444-444-4-4-44-44-4-444000000000000000000000000000000000000
χ504-4-44-444-4-4-4444-4-444-4-44000000000000000000000000000000000000
χ514-4-44-444-4-4-444-444-4-444-4000000000000000000000000000000000000
χ524-4-4-444-444-44-44-44-4-4-444000000000000000000000000000000000000
χ534-4-4-444-44-44-444-4-44-444-4000000000000000000000000000000000000
χ544-4-4-444-44-44-44-444-44-4-44000000000000000000000000000000000000
χ558-8888-8-8-8000000000000000000000000000000000000000000000000
χ568-88-8-8-888000000000000000000000000000000000000000000000000

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