Finite Group Databasebeta

← Group #251379

Character table — Group #251379

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244442244444422444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ91111111111111111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1
χ101111111111111111-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111
χ111111111111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ121111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111
χ17222222222222-2-2-2-22222-2-2-2-2002-20000000000000000000000
χ18222222222222-2-2-2-222-2-222-2-200-220000000000000000000000
χ19222222222222-2-2-2-2-2-222-2-22200-220000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-22222002-20000000000000000000000
χ2122222222-2-2-2-222-2-22-200002-20000002-200002-2000000000000
χ2222222222-2-2-2-222-2-22-200002-2000000-220000-22000000000000
χ2322222222-2-2-2-222-2-2-220000-220000002-20000-22000000000000
χ2422222222-2-2-2-222-2-2-220000-22000000-2200002-2000000000000
χ2522222222-2-2-2-2-2-2222-20000-2200002-200002-200000000000000
χ2622222222-2-2-2-2-2-2222-20000-220000-220000-2200000000000000
χ2722222222-2-2-2-2-2-222-2200002-200002-20000-2200000000000000
χ2822222222-2-2-2-2-2-222-2200002-20000-2200002-200000000000000
χ2922-2-2-2-22222-2-22-22-2002i−2i2i−2i00000000002-20000002i−2i00000000
χ3022-2-2-2-22222-2-22-22-2002i−2i2i−2i0000000000-22000000−2i2i00000000
χ3122-2-2-2-22222-2-22-22-200−2i2i−2i2i00000000002-2000000−2i2i00000000
χ3222-2-2-2-22222-2-22-22-200−2i2i−2i2i0000000000-220000002i−2i00000000
χ3322-2-2-2-22222-2-2-22-22002i−2i−2i2i002-20000000000002i−2i0000000000
χ3422-2-2-2-22222-2-2-22-22002i−2i−2i2i00-22000000000000−2i2i0000000000
χ3522-2-2-2-22222-2-2-22-2200−2i2i2i−2i002-2000000000000−2i2i0000000000
χ3622-2-2-2-22222-2-2-22-2200−2i2i2i−2i00-220000000000002i−2i0000000000
χ374444-4-4-4-44-44-400000000000000000000000000000022−22000000
χ384444-4-4-4-44-44-4000000000000000000000000000000−2222000000
χ394444-4-4-4-4-44-44000000000000000000000000000000002i2−2i20000
χ404444-4-4-4-4-44-4400000000000000000000000000000000−2i22i20000
χ4144-4-444-4-44-4-4400000000000000000000000000000000002i2−2i200
χ4244-4-444-4-44-4-440000000000000000000000000000000000−2i22i200
χ4344-4-444-4-4-444-400000000000000000000000000000000000022−22
χ4444-4-444-4-4-444-4000000000000000000000000000000000000−2222
χ4544-4-4-4-444-4-4444-4-440000000000000000000000000000000000
χ4644-4-4-4-444-4-444-444-40000000000000000000000000000000000
χ478-88-88-88-8000000000000000000000000000000000000000000
χ488-88-8-88-88000000000000000000000000000000000000000000
χ498-8-888-8-88000000000000000000000000000000000000000000
χ508-8-88-888-8000000000000000000000000000000000000000000

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