Finite Group Databasebeta

← Group #459290

Character table — Group #459290

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-111-1-11-1-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-11-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-11-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111
χ911111111111111111111-1-1-1-11111-1-1-1-1111111111111-11-1-1-1-1-1-1-111111-1-1-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111111-111-1-1-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1111-1-11111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1111-1111111-1-1
χ1722222222-2-2-2-222-22-2-2-22000022-2-200000000000022-2-2020000000-200000000
χ1822222222-2-2-2-222-22-2-2-22000022-2-2000000000000-2-2220-20000000200000000
χ1922222222-2-2-2-222-22-2-2-220000-2-22200000000000022-2-20-20000000200000000
χ2022222222-2-2-2-222-22-2-2-220000-2-222000000000000-2-222020000000-200000000
χ2122222222-2-2-2-2-2-22-2222-222-2-200000000000022-2-2000020000000-2000000000
χ2222222222-2-2-2-2-2-22-2222-222-2-2000000000000-2-2220000-200000002000000000
χ2322222222-2-2-2-2-2-22-2222-2-2-22200000000000022-2-20000-200000002000000000
χ2422222222-2-2-2-2-2-22-2222-2-2-222000000000000-2-222000020000000-2000000000
χ25222-22-2-2-22-2-222-2-2-222-22000000002i2i−2i−2i00000000000000000000002i−2i002-200
χ26222-22-2-2-22-2-222-2-2-222-22000000002i2i−2i−2i0000000000000000000000−2i2i00-2200
χ27222-22-2-2-22-2-222-2-2-222-2200000000−2i−2i2i2i00000000000000000000002i−2i00-2200
χ28222-22-2-2-22-2-222-2-2-222-2200000000−2i−2i2i2i0000000000000000000000−2i2i002-200
χ2922-22-2-2-2222-2-2-22-2-22-2222i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000000000000000
χ3022-22-2-2-2222-2-2-22-2-22-2222i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000000000
χ3122-22-2-2-2222-2-2-22-2-22-222−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000000000000
χ3222-22-2-2-2222-2-2-22-2-22-222−2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000000000000000
χ3322-22-2-2-22-2-2222-2-222-22-22i−2i−2i2i0000000000000000000000002i−2i0000002-20000
χ3422-22-2-2-22-2-2222-2-222-22-22i−2i−2i2i000000000000000000000000−2i2i000000-220000
χ3522-22-2-2-22-2-2222-2-222-22-2−2i2i2i−2i0000000000000000000000002i−2i000000-220000
χ3622-22-2-2-22-2-2222-2-222-22-2−2i2i2i−2i000000000000000000000000−2i2i0000002-20000
χ3722-22-2-2-22-2-222-222-2-22-2200002i−2i−2i2i00000000000000000000002i−2i000000002-2
χ3822-22-2-2-22-2-222-222-2-22-2200002i−2i−2i2i0000000000000000000000−2i2i00000000-22
χ3922-22-2-2-22-2-222-222-2-22-220000−2i2i2i−2i00000000000000000000002i−2i00000000-22
χ4022-22-2-2-22-2-222-222-2-22-220000−2i2i2i−2i0000000000000000000000−2i2i000000002-2
χ4122-2-2-222-22-22-2-2-2222-2-22000000002i−2i−2i2i2i2i−2i−2i00000000002-200000000000000
χ4222-2-2-222-22-22-2-2-2222-2-22000000002i−2i−2i2i−2i−2i2i2i0000000000-2200000000000000
χ4322-2-2-222-22-22-2-2-2222-2-2200000000−2i2i2i−2i2i2i−2i−2i0000000000-2200000000000000
χ4422-2-2-222-22-22-2-2-2222-2-2200000000−2i2i2i−2i−2i−2i2i2i00000000002-200000000000000
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ46444-44-4-4-44-4-44-4444-4-44-4000000000000000000000000000000000000000000
χ47444-44-4-4-4-444-44-44-4-4-444000000000000000000000000000000000000000000
χ48444-44-4-4-4-444-4-44-4444-4-4000000000000000000000000000000000000000000
χ4944-44-4-4-4444-4-44-444-44-4-4000000000000000000000000000000000000000000
χ5044-4-4-444-44-44-444-4-4-444-4000000000000000000000000000000000000000000
χ5144-4-4-444-4-44-44444-44-4-4-4000000000000000000000000000000000000000000
χ5244-4-4-444-4-44-44-4-4-44-4444000000000000000000000000000000000000000000
χ534-44-4-44-440000000000000000000000002-22-22i2−2i2002i2−2i200000000000000000000
χ544-44-4-44-440000000000000000000000002-22-2−2i22i200−2i22i200000000000000000000
χ554-44-4-44-44000000000000000000000000-22-222i2−2i200−2i22i200000000000000000000
χ564-44-4-44-44000000000000000000000000-22-22−2i22i2002i2−2i200000000000000000000
χ574-4-4444-4-40000000000000000000000002i−2i−2i2i0022−22002i2−2i2000000000000000000
χ584-4-4444-4-40000000000000000000000002i−2i−2i2i00−222200−2i22i2000000000000000000
χ594-4-4444-4-4000000000000000000000000−2i2i2i−2i0022−2200−2i22i2000000000000000000
χ604-4-4444-4-4000000000000000000000000−2i2i2i−2i00−2222002i2−2i2000000000000000000
χ618-888-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8-8-88-888000000000000000000000000000000000000000000000000000000

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