Finite Group Databasebeta

← Group #259813

Character table — Group #259813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244444444444422444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-11-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11-11-1-11-111-11-1-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11-11-1-11-1-1-1-11-111-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-11-1-11-1111-1-11-1-111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-11-1-11-11-1-1-1-1111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-1111111-1-1-1-1-111-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-11-111111-1-1-111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-1-11-1111-1-1-1-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11-1-111-111111-1-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11-1-111-11-1-111-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1111-11-1111-11-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1111-11-1-1-11-111111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-222-2-2000-20000020000000000000000
χ18222222222222-2-2-2-222-2-2-2-222000200000-20000000000000000
χ19222222222222-2-2-2-2-2-22222-2-2000200000-20000000000000000
χ20222222222222-2-2-2-2-2-222-2-222000-20000020000000000000000
χ2122222222-2-2-2-22-22-200002-22-200202-2-20000000000000000000
χ2222222222-2-2-2-22-22-200002-22-200-20-2220000000000000000000
χ2322222222-2-2-2-22-22-20000-22-220020-2-220000000000000000000
χ2422222222-2-2-2-22-22-20000-22-2200-2022-20000000000000000000
χ2522222222-2-2-2-2-22-2200002-2-222200000000-2-200000000000000
χ2622222222-2-2-2-2-22-2200002-2-22-2-2000000002200000000000000
χ2722222222-2-2-2-2-22-220000-222-22-200000000-2200000000000000
χ2822222222-2-2-2-2-22-220000-222-2-22000000002-200000000000000
χ2922-22-2-2-222-22-22-2-222i−2i2i−2i00000000000000002-2002i−2i00000000
χ3022-22-2-2-222-22-22-2-222i−2i2i−2i0000000000000000-2200−2i2i00000000
χ3122-22-2-2-222-22-22-2-22−2i2i−2i2i00000000000000002-200−2i2i00000000
χ3222-22-2-2-222-22-22-2-22−2i2i−2i2i0000000000000000-22002i−2i00000000
χ3322-22-2-2-222-22-2-222-22i−2i−2i2i000000000002i−2i000002-20000000000
χ3422-22-2-2-222-22-2-222-22i−2i−2i2i00000000000−2i2i00000-220000000000
χ3522-22-2-2-222-22-2-222-2−2i2i2i−2i000000000002i−2i00000-220000000000
χ3622-22-2-2-222-22-2-222-2−2i2i2i−2i00000000000−2i2i000002-20000000000
χ3744-44-4-4-44-44-4444-4-40000000000000000000000000000000000
χ3844-44-4-4-44-44-44-4-4440000000000000000000000000000000000
χ394-44-4-44-4444-4-4000000000000000000000000000000002i2−2i20000
χ404-44-4-44-4444-4-400000000000000000000000000000000−2i22i20000
χ414-44-4-44-44-4-44400000000000000000000000000000000000022−22
χ424-44-4-44-44-4-444000000000000000000000000000000000000−2222
χ434-4-4-44-4444-4-4400000000000000000000000000000022−22000000
χ444-4-4-44-4444-4-44000000000000000000000000000000−2222000000
χ454-4-4-44-444-444-4000000000000000000000000000000000022−2200
χ464-4-4-44-444-444-40000000000000000000000000000000000−222200
χ47888-8-8-88-8000000000000000000000000000000000000000000
χ4888-8-888-8-8000000000000000000000000000000000000000000
χ498-8888-8-8-8000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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