Finite Group Databasebeta

← Group #254813

Character table — Group #254813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244442244444422244444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-111-1-1-111-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-111-1-1-111-1-1-1-111-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-111-1-1-111-1-111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-11111-11-11-1-11-11-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-11-11-1-11-11-1-1-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-11-11-1-11-111111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-1-11-11-1-11-11-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-111-1-1111-1-11-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11-111-11-111-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11-111-11-111-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-222-2-220000-200000000000000000000
χ18222222222222-2-2-2-222-2-2-2-222-20000200000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-2-20000200000000000000000000
χ20222222222222-2-2-2-2-2-222-2-22220000-200000000000000000000
χ2122222222-2-2-2-222-2-200002-22-20020200-20-20000000000000000
χ2222222222-2-2-2-222-2-200002-22-200-20-2002020000000000000000
χ2322222222-2-2-2-222-2-20000-22-220020-200-2020000000000000000
χ2422222222-2-2-2-222-2-20000-22-2200-2020020-20000000000000000
χ2522222222-2-2-2-2-2-22200002-2-22020-200-20200000000000000000
χ2622222222-2-2-2-2-2-22200002-2-220-2020020-200000000000000000
χ2722222222-2-2-2-2-2-2220000-222-2020200-20-200000000000000000
χ2822222222-2-2-2-2-2-2220000-222-20-20-20020200000000000000000
χ2922-2-222-2-222-2-22-22-22-22-200000000000000002i−2i002i−2i00000000
χ3022-2-222-2-222-2-22-22-22-22-20000000000000000−2i2i00−2i2i00000000
χ3122-2-222-2-222-2-22-22-2-22-2200000000000000002i−2i00−2i2i00000000
χ3222-2-222-2-222-2-22-22-2-22-220000000000000000−2i2i002i−2i00000000
χ3322-2-222-2-222-2-2-22-222-2-22000000000000002i−2i002i−2i0000000000
χ3422-2-222-2-222-2-2-22-222-2-2200000000000000−2i2i00−2i2i0000000000
χ3522-2-222-2-222-2-2-22-22-222-2000000000000002i−2i00−2i2i0000000000
χ3622-2-222-2-222-2-2-22-22-222-200000000000000−2i2i002i−2i0000000000
χ3744-4-444-4-4-4-4444-4-440000000000000000000000000000000000
χ3844-4-444-4-4-4-444-444-40000000000000000000000000000000000
χ394-44-44-44-44-44-40000000000000000000000000000000000002i2−2i2
χ404-44-44-44-44-44-4000000000000000000000000000000000000−2i22i2
χ414-44-44-44-4-44-440000000000000000000000000000000022−220000
χ424-44-44-44-4-44-4400000000000000000000000000000000−22220000
χ434-4-444-4-444-4-44000000000000000000000000000000000022−2200
χ444-4-444-4-444-4-440000000000000000000000000000000000−222200
χ454-4-444-4-44-444-40000000000000000000000000000002i2−2i2000000
χ464-4-444-4-44-444-4000000000000000000000000000000−2i22i2000000
χ478888-8-8-8-8000000000000000000000000000000000000000000
χ4888-8-8-8-888000000000000000000000000000000000000000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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