Finite Group Databasebeta

← Group #314641

Character table — Group #314641

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12224444224444442444444422444488888888888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-111111-11-1-1-111-1-111-1-1-1-11111-1-111-1-1
χ101111111111111111-1-1-1-111111-11-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ111111111111111111-1-1-1-11111-11-11-1-1-1-11111-1-1-1-111-1-111-1-111
χ121111111111111111-1-1-1-11111-11-11-1-1-1-111-1-11111-1-111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-11111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-11-111111-1-11111-1-1-1-1-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1111111-1-1-1-111
χ17222222222222-2-2-2-22-2-2222-2-200002-200000000000000000000
χ18222222222222-2-2-2-22-2-22-2-2220000-2200000000000000000000
χ19222222222222-2-2-2-2-222-222-2-20000-2200000000000000000000
χ20222222222222-2-2-2-2-222-2-2-22200002-200000000000000000000
χ212222-2-2-2-222-2-222-2-222-2-200000000000000002i−2i002i−2i00000000
χ222222-2-2-2-222-2-222-2-222-2-20000000000000000−2i2i00−2i2i00000000
χ232222-2-2-2-222-2-222-2-2-2-22200000000000000002i−2i00−2i2i00000000
χ242222-2-2-2-222-2-222-2-2-2-2220000000000000000−2i2i002i−2i00000000
χ252222-2-2-2-222-2-2-2-2222-22-2000000000000002i−2i002i−2i0000000000
χ262222-2-2-2-222-2-2-2-2222-22-200000000000000−2i2i00−2i2i0000000000
χ272222-2-2-2-222-2-2-2-222-22-22000000000000002i−2i00−2i2i0000000000
χ282222-2-2-2-222-2-2-2-222-22-2200000000000000−2i2i002i−2i0000000000
χ292222-2-2-2-2-2-2222-22-200002i−2i2i−2i020-200002i−2i0000000000000000
χ302222-2-2-2-2-2-2222-22-200002i−2i2i−2i0-2020000−2i2i0000000000000000
χ312222-2-2-2-2-2-2222-22-20000−2i2i−2i2i020-20000−2i2i0000000000000000
χ322222-2-2-2-2-2-2222-22-20000−2i2i−2i2i0-20200002i−2i0000000000000000
χ332222-2-2-2-2-2-222-22-2200002i−2i−2i2i20-20002i−2i000000000000000000
χ342222-2-2-2-2-2-222-22-2200002i−2i−2i2i-202000−2i2i000000000000000000
χ352222-2-2-2-2-2-222-22-220000−2i2i2i−2i20-2000−2i2i000000000000000000
χ362222-2-2-2-2-2-222-22-220000−2i2i2i−2i-2020002i−2i000000000000000000
χ3744444444-4-4-4-44-4-440000000000000000000000000000000000
χ3844444444-4-4-4-4-444-40000000000000000000000000000000000
χ394-4-4444-4-44-44-400000000000000000000000000000000002i2−2i200
χ404-4-4444-4-44-44-40000000000000000000000000000000000−2i22i200
χ414-4-4444-4-4-44-44000000000000000000000000000000002i2−2i20000
χ424-4-4444-4-4-44-4400000000000000000000000000000000−2i22i20000
χ434-4-44-4-4444-4-4400000000000000000000000000000000000022−22
χ444-4-44-4-4444-4-44000000000000000000000000000000000000−2222
χ454-4-44-4-444-444-400000000000000000000000000000022−22000000
χ464-4-44-4-444-444-4000000000000000000000000000000−2222000000
χ4788-8-88i−8i8i−8i000000000000000000000000000000000000000000
χ4888-8-8−8i8i−8i8i000000000000000000000000000000000000000000
χ498-88-88i−8i−8i8i000000000000000000000000000000000000000000
χ508-88-8−8i8i8i−8i000000000000000000000000000000000000000000

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