Finite Group Databasebeta

← Group #254802

Character table — Group #254802

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244442244444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111
χ5111111111111111111-1-111-1-111-11-1-1-11111-11-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-111-1-111-11-1-1-1-1-1-1-1-11-11111-1-1-1-11111
χ7111111111111111111-1-111-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1
χ91111111111111111-1-111-1-11111-1-1-11111-1-1-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-111-1-11111-1-1-111-1-111-1-1-1-1-111-1-111-1-111
χ111111111111111111-1-111-1-111-1-1-111-1-111-1-1-11111-1-1-1-111-1-111
χ121111111111111111-1-111-1-111-1-1-111-1-1-1-111-111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111-11-1-111-1-11-11-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1111-11-1-1-1-1111-1111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-11111-111-1-111-1-1-1-111
χ17222222222222-2-2-2-22222-2-2-2-200-200000000200000000000000
χ18222222222222-2-2-2-222-2-2-2-22200200000000-200000000000000
χ19222222222222-2-2-2-2-2-22222-2-200200000000-200000000000000
χ20222222222222-2-2-2-2-2-2-2-2222200-200000000200000000000000
χ2122222222-2-2-2-222-2-22-2002-200000022-2000000-2000000000000
χ2222222222-2-2-2-222-2-22-2002-2000000-2-220000002000000000000
χ2322222222-2-2-2-222-2-2-2200-220000002-22000000-2000000000000
χ2422222222-2-2-2-222-2-2-2200-22000000-22-20000002000000000000
χ2522222222-2-2-2-2-2-2222-200-22002-20200000000-20000000000000
χ2622222222-2-2-2-2-2-2222-200-2200-220-20000000020000000000000
χ2722222222-2-2-2-2-2-222-22002-2002-20-20000000020000000000000
χ2822222222-2-2-2-2-2-222-22002-200-220200000000-20000000000000
χ292-2-222-2-2222-2-22-22-2002-2002-20000000002i−2i000002i−2i00000000
χ302-2-222-2-2222-2-22-22-2002-2002-2000000000−2i2i00000−2i2i00000000
χ312-2-222-2-2222-2-22-22-200-2200-220000000002i−2i00000−2i2i00000000
χ322-2-222-2-2222-2-22-22-200-2200-22000000000−2i2i000002i−2i00000000
χ332-2-222-2-2222-2-2-22-22002-200-2200000002i−2i000002i−2i0000000000
χ342-2-222-2-2222-2-2-22-22002-200-220000000−2i2i00000−2i2i0000000000
χ352-2-222-2-2222-2-2-22-2200-22002-200000002i−2i00000−2i2i0000000000
χ362-2-222-2-2222-2-2-22-2200-22002-20000000−2i2i000002i−2i0000000000
χ374444-4-4-4-44-44-4000000000000000000000000000000000022−2200
χ384444-4-4-4-44-44-40000000000000000000000000000000000−222200
χ394444-4-4-4-4-44-4400000000000000000000000000000000000022−22
χ404444-4-4-4-4-44-44000000000000000000000000000000000000−2222
χ414-4-444-4-44-4-4444-4-440000000000000000000000000000000000
χ424-4-444-4-44-4-444-444-40000000000000000000000000000000000
χ434-4-44-444-44-4-440000000000000000000000000000002i2−2i2000000
χ444-4-44-444-44-4-44000000000000000000000000000000−2i22i2000000
χ454-4-44-444-4-444-4000000000000000000000000000000002i2−2i20000
χ464-4-44-444-4-444-400000000000000000000000000000000−2i22i20000
χ4788-8-888-8-8000000000000000000000000000000000000000000
χ4888-8-8-8-888000000000000000000000000000000000000000000
χ498-88-88-88-8000000000000000000000000000000000000000000
χ508-88-8-88-88000000000000000000000000000000000000000000

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