Finite Group Databasebeta

← Group #249264

Character table — Group #249264

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244442244444422244444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-11-1-111-1-11-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-11-1-111-1-11-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-11-1-1-111-111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-11-1-1-111-11-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-11111-111-1-1-1-1-11111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-111-1-1-1-1-111-1-111-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111-11-1-1111-111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-111-11-1-1111-1-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11-11111-1-1-11-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-222-2-2200-20000000000000000000000
χ18222222222222-2-2-2-222-2-2-2-222-20020000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-2-20020000000000000000000000
χ20222222222222-2-2-2-2-2-222-2-222200-20000000000000000000000
χ2122222222-2-2-2-222-2-22-22-200000020002-20-20000000000000000
χ2222222222-2-2-2-222-2-22-22-2000000-2000-22020000000000000000
χ2322222222-2-2-2-222-2-2-22-220000002000-220-20000000000000000
χ2422222222-2-2-2-222-2-2-22-22000000-20002-2020000000000000000
χ2522222222-2-2-2-2-2-2222-2-22000002002-200-200000000000000000
χ2622222222-2-2-2-2-2-2222-2-2200000-200-2200200000000000000000
χ2722222222-2-2-2-2-2-222-222-200000200-2200-200000000000000000
χ2822222222-2-2-2-2-2-222-222-200000-2002-200200000000000000000
χ2922-2-2-2-2222-2-222-22-200002-22-20000000000002-2002-200000000
χ3022-2-2-2-2222-2-222-22-200002-22-2000000000000-2200-2200000000
χ3122-2-2-2-2222-2-222-22-20000-22-220000000000002-200-2200000000
χ3222-2-2-2-2222-2-222-22-20000-22-22000000000000-22002-200000000
χ3322-2-2-2-2222-2-22-22-2200002-2-2200000000002-2002-20000000000
χ3422-2-2-2-2222-2-22-22-2200002-2-220000000000-2200-220000000000
χ3522-2-2-2-2222-2-22-22-220000-222-200000000002-200-220000000000
χ3622-2-2-2-2222-2-22-22-220000-222-20000000000-22002-20000000000
χ3744-4-4-4-444-444-44-4-440000000000000000000000000000000000
χ3844-4-4-4-444-444-4-444-40000000000000000000000000000000000
χ394-444-4-44-444-4-40000000000000000000000000000000000002i2−2i2
χ404-444-4-44-444-4-4000000000000000000000000000000000000−2i22i2
χ414-444-4-44-4-4-444000000000000000000000000000000000022−2200
χ424-444-4-44-4-4-4440000000000000000000000000000000000−222200
χ434-4-4-4444-44-44-4000000000000000000000000000000002i2−2i20000
χ444-4-4-4444-44-44-400000000000000000000000000000000−2i22i20000
χ454-4-4-4444-4-44-4400000000000000000000000000000022−22000000
χ464-4-4-4444-4-44-44000000000000000000000000000000−2222000000
χ47888-88-8-8-8000000000000000000000000000000000000000000
χ4888-88-88-8-8000000000000000000000000000000000000000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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