Finite Group Databasebeta

← Group #476485

Character table — Group #476485

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222222222222161616161616161616161616161616161616161616161616161616161616
order12222222244444444224444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ3111111111111111111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-111
χ4111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ5111111111111111111-11-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-111
χ6111111111111111111-11-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1
χ7111111111111111111-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111
χ8111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1
χ911111111111111111-11-1111-1-111-1-111-1-111-1-1-1-111-1-111-1-1
χ1011111111111111111-11-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111
χ1111111111111111111-11-11-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1
χ1211111111111111111-11-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ1311111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1411111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ1511111111111111111-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1
χ1611111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111
χ172222-22-2-2-222-22-2-2-22020-20000000000002i−2i00002i−2i000000
χ182222-22-2-2-222-22-2-2-22020-2000000000000−2i2i0000−2i2i000000
χ192222-22-2-2-222-22-2-2-220-2020000000000002i−2i0000−2i2i000000
χ202222-22-2-2-222-22-2-2-220-202000000000000−2i2i00002i−2i000000
χ212222-22-2-2-2-2-22-2222-20000002-200002i−2i000000000000002i−2i
χ222222-22-2-2-2-2-22-2222-20000002-20000−2i2i00000000000000−2i2i
χ232222-22-2-2-2-2-22-2222-2000000-2200002i−2i00000000000000−2i2i
χ242222-22-2-2-2-2-22-2222-2000000-220000−2i2i000000000000002i−2i
χ25222-22-2-22-22-2222-2-2-2000000002i−2i2-2002i−2i00000000000000
χ26222-22-2-22-22-2222-2-2-2000000002i−2i-2200−2i2i00000000000000
χ27222-22-2-22-22-2222-2-2-200000000−2i2i2-200−2i2i00000000000000
χ28222-22-2-22-22-2222-2-2-200000000−2i2i-22002i−2i00000000000000
χ2922-22-2-2-222-2-222-22-2200002-2000000000000002-2002-20000
χ3022-22-2-2-222-2-222-22-2200002-200000000000000-2200-220000
χ3122-22-2-2-222-2-222-22-220000-22000000000000002-200-220000
χ3222-22-2-2-222-2-222-22-220000-2200000000000000-22002-20000
χ3322-2-2-2222-22-2-2-222-2220-20000000000000002-20000002-200
χ3422-2-2-2222-22-2-2-222-2220-2000000000000000-22000000-2200
χ3522-2-2-2222-22-2-2-222-22-2020000000000000002-2000000-2200
χ3622-2-2-2222-22-2-2-222-22-202000000000000000-220000002-200
χ37444444444-4-4-4-4-4-4-4-4000000000000000000000000000000
χ38444-44-4-44-4-44-4-4-4444000000000000000000000000000000
χ39444-4-4-44-444-4-44-444-4000000000000000000000000000000
χ40444-4-4-44-44-444-44-4-44000000000000000000000000000000
χ4144-444-44-4-4444-4-44-4-4000000000000000000000000000000
χ4244-444-44-4-4-4-4-444-444000000000000000000000000000000
χ4344-44-4-4-44444-4-44-44-4000000000000000000000000000000
χ4444-4-444-4-444-44-4-4-444000000000000000000000000000000
χ4544-4-444-4-44-44-4444-4-4000000000000000000000000000000
χ4644-4-4-4444-4-4444-4-44-4000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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