Finite Group Databasebeta

← Group #476849

Character table — Group #476849

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222222222222161616161616161616161616161616161616161616161616161616161616
order12222222244444444222444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111
χ51111111111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1
χ911111111111111111-1-111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1
χ1011111111111111111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111
χ1111111111111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111
χ1211111111111111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ1311111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111
χ1411111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-1
χ1511111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111
χ172222-22-2-2-222-2-2-2-222002-22i−2i002i−2i00000000000000000000
χ182222-22-2-2-222-2-2-2-222002-2−2i2i00−2i2i00000000000000000000
χ192222-22-2-2-222-2-2-2-22200-222i−2i00−2i2i00000000000000000000
χ202222-22-2-2-222-2-2-2-22200-22−2i2i002i−2i00000000000000000000
χ21222-22-22-2-22-2-2-2222-200000000002i−2i00000000002-22i−2i0000
χ22222-22-22-2-22-2-2-2222-200000000002i−2i0000000000-22−2i2i0000
χ23222-22-22-2-22-2-2-2222-20000000000−2i2i00000000002-2−2i2i0000
χ24222-22-22-2-22-2-2-2222-20000000000−2i2i0000000000-222i−2i0000
χ25222-2-2-2-222-22-2-222-22000000000000002-2002-22-200000000
χ26222-2-2-2-222-22-2-222-22000000000000002-200-22-2200000000
χ27222-2-2-2-222-22-2-222-2200000000000000-22002-2-2200000000
χ28222-2-2-2-222-22-2-222-2200000000000000-2200-222-200000000
χ2922-22-2-22-22222-22-2-2-20000002i−2i00002-20000000000002i−2i00
χ3022-22-2-22-22222-22-2-2-20000002i−2i0000-22000000000000−2i2i00
χ3122-22-2-22-22222-22-2-2-2000000−2i2i00002-2000000000000−2i2i00
χ3222-22-2-22-22222-22-2-2-2000000−2i2i0000-220000000000002i−2i00
χ3322-22-2-22-22-2-2-22-22222-2000000000000002-200000000002-2
χ3422-22-2-22-22-2-2-22-22222-200000000000000-220000000000-22
χ3522-22-2-22-22-2-2-22-2222-22000000000000002-20000000000-22
χ3622-22-2-22-22-2-2-22-2222-2200000000000000-2200000000002-2
χ37444444444-4-4-4-4-4-4-4-4000000000000000000000000000000
χ384444-44-4-4-4-4-44444-4-4000000000000000000000000000000
χ39444-44-44-4-4-4444-4-4-44000000000000000000000000000000
χ40444-4-4-4-4444-444-4-44-4000000000000000000000000000000
χ4144-444-4-44-444-44-44-4-4000000000000000000000000000000
χ4244-444-4-44-4-4-44-44-444000000000000000000000000000000
χ4344-4-444-4-444-44-4-44-44000000000000000000000000000000
χ4444-4-444-4-44-44-444-44-4000000000000000000000000000000
χ4544-4-4-4444-44-4-444-4-44000000000000000000000000000000
χ4644-4-4-4444-4-444-4-444-4000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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