Finite Group Databasebeta

← Group #476748

Character table — Group #476748

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888222444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-111-1-111-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-111-1-111-1-11111
χ1011111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1111111
χ1311111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1-1-11111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ1722222222-2-2-2-2222-2-2-2-220000000022-2-200200-22-20000000000000000
χ1822222222-2-2-2-2222-2-2-2-220000000022-2-200-2002-220000000000000000
χ1922222222-2-2-2-2222-2-2-2-2200000000-2-22200200-2-220000000000000000
χ2022222222-2-2-2-2222-2-2-2-2200000000-2-22200-20022-20000000000000000
χ2122222222-2-2-2-2-2-2-22222-2000022-2-20000000000002-200002-200000000
χ2222222222-2-2-2-2-2-2-22222-2000022-2-2000000000000-220000-2200000000
χ2322222222-2-2-2-2-2-2-22222-20000-2-2220000000000002-20000-2200000000
χ2422222222-2-2-2-2-2-2-22222-20000-2-222000000000000-2200002-200000000
χ252222-2-2-2-222-2-22-2-22-22-222i2i−2i−2i000000002-2000000002i−2i000000000000
χ262222-2-2-2-222-2-22-2-22-22-222i2i−2i−2i00000000-2200000000−2i2i000000000000
χ272222-2-2-2-222-2-22-2-22-22-22−2i−2i2i2i000000002-200000000−2i2i000000000000
χ282222-2-2-2-222-2-22-2-22-22-22−2i−2i2i2i00000000-22000000002i−2i000000000000
χ292-22-222-2-22-2-2222-22-2-22-20000000000000002i−2i00000000000002-2002i−2i
χ302-22-222-2-22-2-2222-22-2-22-20000000000000002i−2i0000000000000-2200−2i2i
χ312-22-222-2-22-2-2222-22-2-22-2000000000000000−2i2i00000000000002-200−2i2i
χ322-22-222-2-22-2-2222-22-2-22-2000000000000000−2i2i0000000000000-22002i−2i
χ332-22-2-2-2222-22-2-22-2-2-22220000000000000000000000002-2002-2002-200
χ342-22-2-2-2222-22-2-22-2-2-22220000000000000000000000002-200-2200-2200
χ352-22-2-2-2222-22-2-22-2-2-2222000000000000000000000000-22002-200-2200
χ362-22-2-2-2222-22-2-22-2-2-2222000000000000000000000000-2200-22002-200
χ37444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000
χ384444-4-4-4-444-4-4-444-44-44-4000000000000000000000000000000000000
χ394444-4-4-4-4-4-4444-4-4-44-444000000000000000000000000000000000000
χ404444-4-4-4-4-4-444-4444-44-4-4000000000000000000000000000000000000
χ4144-4-44-44-40000000000002-22-2002i2−2i2002i2−2i2000000000000000000000000
χ4244-4-44-44-40000000000002-22-200−2i22i200−2i22i2000000000000000000000000
χ4344-4-44-44-4000000000000-22-22002i2−2i200−2i22i2000000000000000000000000
χ4444-4-44-44-4000000000000-22-2200−2i22i2002i2−2i2000000000000000000000000
χ4544-4-4-44-440000000000002i−2i−2i2i22−22002i2−2i200000000000000000000000000
χ4644-4-4-44-440000000000002i−2i−2i2i−222200−2i22i200000000000000000000000000
χ4744-4-4-44-44000000000000−2i2i2i−2i22−2200−2i22i200000000000000000000000000
χ4844-4-4-44-44000000000000−2i2i2i−2i−2222002i2−2i200000000000000000000000000
χ494-44-444-4-44-4-44-4-44-444-44000000000000000000000000000000000000
χ504-44-444-4-4-444-444-4-444-4-4000000000000000000000000000000000000
χ514-44-444-4-4-444-4-4-444-4-444000000000000000000000000000000000000
χ524-44-4-4-4444-44-44-4444-4-4-4000000000000000000000000000000000000
χ534-44-4-4-444-44-444-44-4-444-4000000000000000000000000000000000000
χ544-44-4-4-444-44-44-44-444-4-44000000000000000000000000000000000000
χ558-8-888-8-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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