Finite Group Databasebeta

← Group #479598

Character table — Group #479598

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222222222222161616161616161616161616161616161616161616161616161616161616
order12222222222222222244444444444444444444444444444
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1
χ61111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111111111111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1
χ911111111111111111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ1011111111111111111-1-111-1-11111-1-111-1-111-1-111-1-111-1-1-1-1
χ1111111111111111111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1
χ1211111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ1311111111111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1
χ1411111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ1511111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ1611111111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-111-1-1
χ172222222-222-2-2-2-2-2-2-22-22-22-2000000000000000000000000
χ182222222-222-2-2-2-2-2-2-22-2-22-22000000000000000000000000
χ192222222-222-2-2-2-2-2-2-2-222-2-22000000000000000000000000
χ202222222-222-2-2-2-2-2-2-2-22-222-2000000000000000000000000
χ212222-2-2-222-22-2-2-222-20000002i−2i002-2000000000000002i−2i00
χ222222-2-2-222-22-2-2-222-20000002i−2i00-2200000000000000−2i2i00
χ232222-2-2-222-22-2-2-222-2000000−2i2i002-200000000000000−2i2i00
χ242222-2-2-222-22-2-2-222-2000000−2i2i00-22000000000000002i−2i00
χ25222-22-2-2-2-22222-22-2-20000000000002i−2i2-2002i−2i0000000000
χ26222-22-2-2-2-22222-22-2-20000000000002i−2i-2200−2i2i0000000000
χ27222-22-2-2-2-22222-22-2-2000000000000−2i2i2-200−2i2i0000000000
χ28222-22-2-2-2-22222-22-2-2000000000000−2i2i-22002i−2i0000000000
χ2922-22-22-2-2-2222-22-22-2000000002i−2i0000002-2002i−2i00000000
χ3022-22-22-2-2-2222-22-22-2000000002i−2i000000-2200−2i2i00000000
χ3122-22-22-2-2-2222-22-22-200000000−2i2i0000002-200−2i2i00000000
χ3222-22-22-2-2-2222-22-22-200000000−2i2i000000-22002i−2i00000000
χ3322-2-222-2-22-2-22-2-222200000000000000000000002-22-2002-2
χ3422-2-222-2-22-2-22-2-222200000000000000000000002-2-2200-22
χ3522-2-222-2-22-2-22-2-22220000000000000000000000-222-200-22
χ3622-2-222-2-22-2-22-2-22220000000000000000000000-22-22002-2
χ374444-4-4-4-44-4-4444-4-44000000000000000000000000000000
χ38444-44-4-44-44-4-4-44-444000000000000000000000000000000
χ39444-4-4444-4-4-444-4-44-4000000000000000000000000000000
χ40444-4-444-4-4-44-4-444-44000000000000000000000000000000
χ4144-444-444-4-4-44-444-4-4000000000000000000000000000000
χ4244-444-44-4-4-44-44-4-444000000000000000000000000000000
χ4344-44-44-44-44-4-44-44-44000000000000000000000000000000
χ4444-4-444-444-44-444-4-4-4000000000000000000000000000000
χ4544-4-4-4-4444444-4-4-4-44000000000000000000000000000000
χ4644-4-4-4-44-444-4-44444-4000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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