Finite Group Databasebeta

← Group #259814

Character table — Group #259814

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1111-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111-1-1-1111-11-1-1-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1-11-1-1-11-1-111-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-111111-11-1-1111-1-11-111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111-11-1-11-1-1-1-11-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-11111-11-11-1-111-11-1111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-11-11-1-1-1-1-11-11-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11-1-1111111-1-11-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11-1-1111-1-11-1-111111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-111-11-111111-1-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-111-11-1-1-1111-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-222-2-200002000-200000000000000000
χ18222222222222-2-2-2-222-2-2-2-2220000-2000200000000000000000
χ19222222222222-2-2-2-2-2-22222-2-20000-2000200000000000000000
χ20222222222222-2-2-2-2-2-222-2-22200002000-200000000000000000
χ2122222222-2-2-2-22-22-200002-22-2020200000-20-200000000000000
χ2222222222-2-2-2-22-22-200002-22-20-20-20000020200000000000000
χ2322222222-2-2-2-22-22-20000-22-22020-200000-20200000000000000
χ2422222222-2-2-2-22-22-20000-22-220-2020000020-200000000000000
χ2522222222-2-2-2-2-22-2200002-2-2220200-20000-2000000000000000
χ2622222222-2-2-2-2-22-2200002-2-22-20-200200002000000000000000
χ2722222222-2-2-2-2-22-220000-222-220-200-200002000000000000000
χ2822222222-2-2-2-2-22-220000-222-2-2020020000-2000000000000000
χ292-22-22-22-22-22-22-2-222i−2i2i−2i00000000000000002i−2i002-200000000
χ302-22-22-22-22-22-22-2-222i−2i2i−2i0000000000000000−2i2i00-2200000000
χ312-22-22-22-22-22-22-2-22−2i2i−2i2i00000000000000002i−2i00-2200000000
χ322-22-22-22-22-22-22-2-22−2i2i−2i2i0000000000000000−2i2i002-200000000
χ332-22-22-22-22-22-2-222-22i−2i−2i2i00000000002-20000002i−2i0000000000
χ342-22-22-22-22-22-2-222-22i−2i−2i2i0000000000-22000000−2i2i0000000000
χ352-22-22-22-22-22-2-222-2−2i2i2i−2i00000000002-2000000−2i2i0000000000
χ362-22-22-22-22-22-2-222-2−2i2i2i−2i0000000000-220000002i−2i0000000000
χ3744-4-444-4-444-4-400000000000000000000000000000022−22000000
χ3844-4-444-4-444-4-4000000000000000000000000000000−2222000000
χ3944-4-444-4-4-4-44400000000000000000000000000000000002i2−2i200
χ4044-4-444-4-4-4-4440000000000000000000000000000000000−2i22i200
χ414-44-44-44-4-44-4444-4-40000000000000000000000000000000000
χ424-44-44-44-4-44-44-4-4440000000000000000000000000000000000
χ434-4-444-4-444-4-44000000000000000000000000000000002i2−2i20000
χ444-4-444-4-444-4-4400000000000000000000000000000000−2i22i20000
χ454-4-444-4-44-444-40000000000000000000000000000000000002i2−2i2
χ464-4-444-4-44-444-4000000000000000000000000000000000000−2i22i2
χ47888-8-8-8-88000000000000000000000000000000000000000000
χ4888-88-8-88-8000000000000000000000000000000000000000000
χ498-888-88-8-8000000000000000000000000000000000000000000
χ508-8-8-8-8888000000000000000000000000000000000000000000

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