Finite Group Databasebeta

← Group #477178

Character table — Group #477178

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222222222222161616161616161616161616161616161616161616161616161616161616
order12222222222222222222444444444444444444444444444
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1
χ31111111111111111111-111-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ41111111111111111111-111-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111
χ5111111111111111111-111-11-1-111-1-111-1-111-1-111-1-1-1-1-1-111
χ6111111111111111111-111-11-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ7111111111111111111-1-11-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1
χ8111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ911111111111111111-111-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1
χ1011111111111111111-111-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111
χ1111111111111111111-11-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-1111111
χ1211111111111111111-11-1-11-1-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ1311111111111111111-1-11-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ1411111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ1511111111111111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ1611111111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1
χ17222222-2-2-222-2-2-22-2-20200-200000002i−2i000000002i−2i000000
χ18222222-2-2-222-2-2-22-2-20200-20000000−2i2i00000000−2i2i000000
χ19222222-2-2-222-2-2-22-2-20-200200000002i−2i00000000−2i2i000000
χ20222222-2-2-222-2-2-22-2-20-20020000000−2i2i000000002i−2i000000
χ212222-2-222-22-22-2-2-22-2200-200002i−2i00000000002i−2i00000000
χ222222-2-222-22-22-2-2-22-2200-20000−2i2i0000000000−2i2i00000000
χ232222-2-222-22-22-2-2-22-2-200200002i−2i0000000000−2i2i00000000
χ242222-2-222-22-22-2-2-22-2-20020000−2i2i00000000002i−2i00000000
χ25222-22-2-2-2-2-2222-2-222000000000000002-22-2000000002-200
χ26222-22-2-2-2-2-2222-2-222000000000000002-2-2200000000-2200
χ27222-22-2-2-2-2-2222-2-22200000000000000-222-200000000-2200
χ28222-22-2-2-2-2-2222-2-22200000000000000-22-22000000002-200
χ2922-22-2-22-2-2-222-222-2200000000002-20000002-2000000002-2
χ3022-22-2-22-2-2-222-222-2200000000002-2000000-2200000000-22
χ3122-22-2-22-2-2-222-222-220000000000-220000002-200000000-22
χ3222-22-2-22-2-2-222-222-220000000000-22000000-22000000002-2
χ3322-2-22-22-222-2-2-2-222200200-22-200000000000000002-20000
χ3422-2-22-22-222-2-2-2-222200200-2-220000000000000000-220000
χ3522-2-22-22-222-2-2-2-222200-20022-20000000000000000-220000
χ3622-2-22-22-222-2-2-2-222200-2002-2200000000000000002-20000
χ374444-4-4-4-444-4-444-4-44000000000000000000000000000000
χ38444-44-4444-44-4-44-4-4-4000000000000000000000000000000
χ39444-4-4444-4-4-4-44-44-44000000000000000000000000000000
χ40444-4-44-4-44-4-44-4444-4000000000000000000000000000000
χ4144-44444-44-4-444-4-4-4-4000000000000000000000000000000
χ4244-4444-44-4-4-4-4-44-444000000000000000000000000000000
χ4344-44-4-4-444-44-44-444-4000000000000000000000000000000
χ4444-4-44-4-44-44-44444-4-4000000000000000000000000000000
χ4544-4-4-444-4-444-444-44-4000000000000000000000000000000
χ4644-4-4-44-444444-4-4-4-44000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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