Finite Group Databasebeta

← Group #477921

Character table — Group #477921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222222222222161616161616161616161616161616161616161616161616161616161616
order12222222244444444244444444488888888888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ3111111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111
χ51111111111111111111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1
χ911111111111111111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ1011111111111111111-1-11111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1
χ1111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ1211111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1311111111111111111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1
χ1411111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111
χ1511111111111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111
χ1611111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ1722222-2-2-2-22-222-2-2-220000000000002-200002i−2i002i−2i000000
χ1822222-2-2-2-22-222-2-2-220000000000002-20000−2i2i00−2i2i000000
χ1922222-2-2-2-22-222-2-2-22000000000000-2200002i−2i00−2i2i000000
χ2022222-2-2-2-22-222-2-2-22000000000000-220000−2i2i002i−2i000000
χ2122222-2-2-2-2-22-2-2222-22-200002i−2i002i−2i000000000000000000
χ2222222-2-2-2-2-22-2-2222-22-20000−2i2i00−2i2i000000000000000000
χ2322222-2-2-2-2-22-2-2222-2-2200002i−2i00−2i2i000000000000000000
χ2422222-2-2-2-2-22-2-2222-2-220000−2i2i002i−2i000000000000000000
χ25222-2-22-22-2-2222-22-2-2002-200000000002i−2i0000000000002i−2i
χ26222-2-22-22-2-2222-22-2-2002-20000000000−2i2i000000000000−2i2i
χ27222-2-22-22-2-2222-22-2-200-2200000000002i−2i000000000000−2i2i
χ28222-2-22-22-2-2222-22-2-200-220000000000−2i2i0000000000002i−2i
χ2922-22-2-222-2-2-22-2-222200002-200000000002-2002-200000000
χ3022-22-2-222-2-2-22-2-222200002-20000000000-2200-2200000000
χ3122-22-2-222-2-2-22-2-22220000-2200000000002-200-2200000000
χ3222-22-2-222-2-2-22-2-22220000-220000000000-22002-200000000
χ3322-2-22-2-222-22-22-2-222000000002-2000000000000002-22-200
χ3422-2-22-2-222-22-22-2-222000000002-200000000000000-22-2200
χ3522-2-22-2-222-22-22-2-22200000000-22000000000000002-2-2200
χ3622-2-22-2-222-22-22-2-22200000000-2200000000000000-222-200
χ37444444444-4-4-4-4-4-4-4-4000000000000000000000000000000
χ38444-4-44-44-44-4-4-44-444000000000000000000000000000000
χ39444-4-4-44-4444-4-4-44-44000000000000000000000000000000
χ40444-4-4-44-44-4-4444-44-4000000000000000000000000000000
χ4144-44-44-4-444-4-44-444-4000000000000000000000000000000
χ4244-44-44-4-44-444-44-4-44000000000000000000000000000000
χ4344-44-4-444-444-444-4-4-4000000000000000000000000000000
χ4444-4-4444-4-4444-4-4-44-4000000000000000000000000000000
χ4544-4-4444-4-4-4-4-4444-44000000000000000000000000000000
χ4644-4-44-4-4444-44-444-4-4000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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