Finite Group Databasebeta

← Group #260839

Character table — Group #260839

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-111-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1
χ9111111111-1-1-1-111111-1-11111-11-1-11-11-1111-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-1-11111-11-1-11-11-1-1-11-111-1-111-1-111-1-111
χ11111111111-1-1-1-111111-1-11111-1-11-1-11-1111-11-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-111111-1-11111-1-11-1-11-11-1-1-1111-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-1-1-1-111-111-1-1111-11-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-111111-1-1-1-1-1-111-111-1-11-1-1-111111-1-1-1-11111-1-1
χ15111111111-1-1-1-111111-1-1-1-1-1-11-111-111-1111-1-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-1-1-1-11-111-111-1-1-11-11111-1-111-1-1-1-111
χ172222222222222-2-2-22-2-2-200000000002200-2-200000000000000
χ182222222222222-2-2-22-2-2-20000000000-2-2002200000000000000
χ19222222222-2-2-2-2-2-2-22-22200000000002-200-2200000000000000
χ20222222222-2-2-2-2-2-2-22-2220000000000-22002-200000000000000
χ2122222222-222-2-22-2-2-22-22000002-20-2200000000000000000000
χ2222222222-222-2-22-2-2-22-2200000-2202-200000000000000000000
χ2322222222-222-2-2-222-2-22-222-2-2200-20000000000000000000000
χ2422222222-222-2-2-222-2-22-2-2-222-20020000000000000000000000
χ2522222222-2-2-2222-2-2-222-200000220-2-200000000000000000000
χ2622222222-2-2-2222-2-2-222-200000-2-202200000000000000000000
χ2722222222-2-2-222-222-2-2-2222-2-2-20020000000000000000000000
χ2822222222-2-2-222-222-2-2-22-2-222200-20000000000000000000000
χ2922-2-22-2-2220000-22-2-22002i−2i2i−2i000000002i−2i00002-20000000000
χ3022-2-22-2-2220000-22-2-22002i−2i2i−2i00000000−2i2i0000-220000000000
χ3122-2-22-2-2220000-22-2-2200−2i2i−2i2i000000002i−2i0000-220000000000
χ3222-2-22-2-2220000-22-2-2200−2i2i−2i2i00000000−2i2i00002-20000000000
χ3322-2-22-2-22-2000022-22-2002i−2i−2i2i0000000000002-2002i−2i00000000
χ3422-2-22-2-22-2000022-22-2002i−2i−2i2i000000000000-2200−2i2i00000000
χ3522-2-22-2-22-2000022-22-200−2i2i2i−2i0000000000002-200−2i2i00000000
χ3622-2-22-2-22-2000022-22-200−2i2i2i−2i000000000000-22002i−2i00000000
χ37444-4-44-4-40004-40000000000000000000000000000000002-22-2
χ38444-4-44-4-40004-4000000000000000000000000000000000-22-22
χ39444-4-44-4-4000-440000000000000000000000000000000002-2-22
χ40444-4-44-4-4000-44000000000000000000000000000000000-222-2
χ4144-4-44-4-44400004-44-4-400000000000000000000000000000000
χ4244-4-44-4-44-40000-4-444400000000000000000000000000000000
χ434-44-4-4-44404-400000000000000000000000000000002i−2i2i−2i0000
χ444-44-4-4-44404-40000000000000000000000000000000−2i2i−2i2i0000
χ454-44-4-4-4440-4400000000000000000000000000000002i−2i−2i2i0000
χ464-44-4-4-4440-440000000000000000000000000000000−2i2i2i−2i0000
χ4788-88-8-88-8000000000000000000000000000000000000000000
χ488-8888-8-8-8000000000000000000000000000000000000000000
χ498-8-88-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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