Finite Group Databasebeta

← Group #260950

Character table — Group #260950

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111-11-1-1-11-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111-11-1-1-11-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ9111111111-1-11-1-11111-1-111111-1-111-1-1-11-111-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-11111-1-111111-1-111-1-1-11-1-1-111-1-111-1-111-1-111
χ11111111111-1-11-1-11111-1-11111-11-1-1-11-11-1111-1-111-1-1-1-111-1-111
χ12111111111-1-11-1-11111-1-11111-11-1-1-11-11-11-1-111-1-11111-1-111-1-1
χ13111111111-1-11-1-11111-1-1-1-1-1-11-111-111-1-1111-1-1-1-11111-1-1-1-111
χ14111111111-1-11-1-11111-1-1-1-1-1-11-111-111-1-11-1-11111-1-1-1-11111-1-1
χ15111111111-1-11-1-11111-1-1-1-1-1-1-111-11-1111-111-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-11111-1-1-1-1-1-1-111-11-1111-1-1-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-22-22-20000220-2000-2000000000000000000
χ1822222222222-2-2-2-2-22-22-20000-2-2020002000000000000000000
χ19222222222-2-2-222-2-22-2-2200002-20-20002000000000000000000
χ20222222222-2-2-222-2-22-2-220000-2202000-2000000000000000000
χ2122222222-222222-2-2-22-2-2000000002-200-220000000000000000
χ2222222222-222222-2-2-22-2-200000000-22002-20000000000000000
χ2322222222-222-2-2-222-2-2-2222-2-200-200020000000000000000000
χ2422222222-222-2-2-222-2-2-22-2-222002000-20000000000000000000
χ2522222222-2-2-22-2-2-2-2-2222000000002200-2-20000000000000000
χ2622222222-2-2-22-2-2-2-2-222200000000-2-200220000000000000000
χ2722222222-2-2-2-22222-2-22-222-2-2002000-20000000000000000000
χ2822222222-2-2-2-22222-2-22-2-2-22200-200020000000000000000000
χ292-22-22-22-2200-2002-2-22002i−2i2i−2i0000000000002i−2i002-200000000
χ302-22-22-22-2200-2002-2-22002i−2i2i−2i000000000000−2i2i00-2200000000
χ312-22-22-22-2200-2002-2-2200−2i2i−2i2i0000000000002i−2i00-2200000000
χ322-22-22-22-2200-2002-2-2200−2i2i−2i2i000000000000−2i2i002-200000000
χ332-22-22-22-2-2002002-22-2002i−2i−2i2i00000000002-2002i−2i0000000000
χ342-22-22-22-2-2002002-22-2002i−2i−2i2i0000000000-2200−2i2i0000000000
χ352-22-22-22-2-2002002-22-200−2i2i2i−2i00000000002-200−2i2i0000000000
χ362-22-22-22-2-2002002-22-200−2i2i2i−2i0000000000-22002i−2i0000000000
χ374-44-44-44-4400400-44-4-400000000000000000000000000000000
χ384-44-44-44-4-400-400-444400000000000000000000000000000000
χ394-4-444-4-4404i−4i00000000000000000000000000000002i−2i2-20000
χ404-4-444-4-4404i−4i0000000000000000000000000000000−2i2i-220000
χ414-4-444-4-440−4i4i00000000000000000000000000000002i−2i-220000
χ424-4-444-4-440−4i4i0000000000000000000000000000000−2i2i2-20000
χ434-4-4-4-444400004-4000000000000000000000000000000002-22-2
χ444-4-4-4-444400004-400000000000000000000000000000000-22-22
χ454-4-4-4-44440000-44000000000000000000000000000000002-2-22
χ464-4-4-4-44440000-4400000000000000000000000000000000-222-2
χ47888-8-8-8-88000000000000000000000000000000000000000000
χ4888-88-8-88-8000000000000000000000000000000000000000000
χ4988-8-888-8-8000000000000000000000000000000000000000000
χ508-888-88-8-8000000000000000000000000000000000000000000

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