Finite Group Databasebeta

← Group #510639

Character table — Group #510639

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size11222222244448888161616161616161616161616161616161616161632323232
order1222244448888224448888888888816161616161616164488
χ111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111-11-1-11-1-1111111-1-111-1-111-1-11-1-1-1
χ611111111111111-11-1-11-1-11111-1-111-1-111-1-111-11-1-1
χ711111111111111-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1111-111
χ811111111111111-11-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1111
χ91111111111111-11-11-1-11-111-1-1111111-1-1-1-111-1-11-1
χ101111111111111-11-11-1-11-111-1-1-1-1-1-1-1-11111-1-1111-1
χ111111111111111-11-11-1-11-1-1-1111111-1-11111-1-1-1-1-11
χ121111111111111-11-11-1-11-1-1-111-1-1-1-111-1-1-1-11111-11
χ131111111111111-1-1-1-11-1-1111-1-111-1-11111-1-1-1-1-11-11
χ141111111111111-1-1-1-11-1-1111-1-1-1-111-1-1-1-111111-1-11
χ151111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-11111-111-1
χ161111111111111-1-1-1-11-1-11-1-111-1-1111111-1-1-1-11-11-1
χ17222222222-2-2-2-222222-2-2-200000000000000000000
χ18222222222-2-2-2-22-22-2-2-22200000000000000000000
χ19222222222-2-2-2-2-22-22-22-2200000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222-200000000000000000000
χ21222-2-222-2-2-22-2200000000002i−2i002i−2i002-200000000
χ22222-2-222-2-2-22-2200000000002i−2i00−2i2i00-2200000000
χ23222-2-222-2-2-22-220000000000−2i2i002i−2i00-2200000000
χ24222-2-222-2-2-22-220000000000−2i2i00−2i2i002-200000000
χ2522-22-2-22-2222-2-2000000002i−2i002-2002i−2i0000000000
χ2622-22-2-22-2222-2-2000000002i−2i00-2200−2i2i0000000000
χ2722-22-2-22-2222-2-200000000−2i2i002-200−2i2i0000000000
χ2822-22-2-22-2222-2-200000000−2i2i00-22002i−2i0000000000
χ2944444-4-4-4-40000040-4000000000000000000000000
χ3044444-4-4-4-400000-404000000000000000000000000
χ31444-4-444-4-44-44-40000000000000000000000000000
χ32444-4-4-4-44400000000000000000000000022−22000000
χ33444-4-4-4-444000000000000000000000000−2222000000
χ3444-44-44-44-4000000000000000000000000002i2−2i20000
χ3544-44-44-44-400000000000000000000000000−2i22i20000
χ3644-44-4-44-44-4-4440000000000000000000000000000
χ3744-4-444-4-44000040-40000000000000000000000000
χ3844-4-444-4-440000-4040000000000000000000000000
χ3944-4-44-444-44-4-440000000000000000000000000000
χ4044-4-44-444-4-444-40000000000000000000000000000
χ4116-16000000000000000000000000000000000000000

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