Finite Group Databasebeta

← Group #260818

Character table — Group #260818

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1-111-111-1-111-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1
χ9111111111-1-11-1-11111-1-1111111-11-11-1-1-1-11-11-111-1-111-1-111-1-1
χ10111111111-1-11-1-11111-1-1111111-1-11-11-1-1-1-11-1111-1-1-1-111-1-111
χ11111111111-1-11-1-11111-1-11111-1-1-11-11-1-1111-11-1-1-111-1-111-1-111
χ12111111111-1-11-1-11111-1-11111-1-1-1-11-11-111-11-11-1-11111-1-111-1-1
χ13111111111-1-11-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11-1-11111-1-1-1-111
χ14111111111-1-11-1-11111-1-1-1-1-1-1111-111-11-1-1-111-1-1-111-1-11111-1-1
χ15111111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1-1-11111-1-1
χ16111111111-1-11-1-11111-1-1-1-1-1-1-1-11-111-1111-111-111-1-111-1-1-1-111
χ1722222222222-222-2-22-2-2-20000000002200000-2-2000000000000
χ1822222222222-222-2-22-2-2-2000000000-2-20000022000000000000
χ19222222222-2-2-2-2-2-2-22-2220000000002-200000-22000000000000
χ20222222222-2-2-2-2-2-2-22-222000000000-22000002-2000000000000
χ2122222222-2222-2-2-2-2-22-2200000002200000-2-200000000000000
χ2222222222-2222-2-2-2-2-22-220000000-2-2000002200000000000000
χ2322222222-222-2-2-222-2-22-222-2-20020000-2000000000000000000
χ2422222222-222-2-2-222-2-22-2-2-22200-200002000000000000000000
χ2522222222-2-2-2222-2-2-222-200000002-200000-2200000000000000
χ2622222222-2-2-2222-2-2-222-20000000-22000002-200000000000000
χ2722222222-2-2-2-22222-2-2-2222-2-200-200002000000000000000000
χ2822222222-2-2-2-22222-2-2-22-2-2220020000-2000000000000000000
χ292-222-22-2-2200-2002-2-22002i−2i2i−2i000000002i−2i0000002-200000000
χ302-222-22-2-2200-2002-2-22002i−2i2i−2i00000000−2i2i000000-2200000000
χ312-222-22-2-2200-2002-2-2200−2i2i−2i2i000000002i−2i000000-2200000000
χ322-222-22-2-2200-2002-2-2200−2i2i−2i2i00000000−2i2i0000002-200000000
χ332-222-22-2-2-2002002-22-2002i−2i−2i2i2-20000000000002i−2i0000000000
χ342-222-22-2-2-2002002-22-2002i−2i−2i2i-22000000000000−2i2i0000000000
χ352-222-22-2-2-2002002-22-200−2i2i2i−2i2-2000000000000−2i2i0000000000
χ362-222-22-2-2-2002002-22-200−2i2i2i−2i-220000000000002i−2i0000000000
χ3744-4-4-444-400004-400000000000000000000000000002i−2i2i−2i0000
χ3844-4-4-444-400004-40000000000000000000000000000−2i2i−2i2i0000
χ3944-4-4-444-40000-4400000000000000000000000000002i−2i−2i2i0000
χ4044-4-4-444-40000-440000000000000000000000000000−2i2i2i−2i0000
χ414-444-44-4-4400400-44-4-400000000000000000000000000000000
χ424-444-44-4-4-400-400-444400000000000000000000000000000000
χ434-44-44-44-404-4000000000000000000000000000000000002i−2i2i−2i
χ444-44-44-44-404-400000000000000000000000000000000000−2i2i−2i2i
χ454-44-44-44-40-44000000000000000000000000000000000002i−2i−2i2i
χ464-44-44-44-40-4400000000000000000000000000000000000−2i2i2i−2i
χ47888-8-8-8-88000000000000000000000000000000000000000000
χ4888-888-8-8-8000000000000000000000000000000000000000000
χ498-8-88-8-888000000000000000000000000000000000000000000
χ508-8-8-888-88000000000000000000000000000000000000000000

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