Finite Group Databasebeta

← Group #125921

Character table — Group #125921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122228888888888888888881616161616161616161616161616161616163232
order12222222222244444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111-1-1-1-11-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-1-1-111111111-1-1
χ92222222222222-20000-2000022222-2-200-2-20000000000000000
χ102222222222222-20000-20000-2-2-2-22-2-200220000000000000000
χ11222222222222-220000-222220000-22-2-2-2000000000000000000
χ12222222222222-220000-2-2-2-2-20000-22-222000000000000000000
χ13222222222222-2-22222200000000-2-220000-2-200000000000000
χ14222222222222-2-2-2-2-2-2200000000-2-2200002200000000000000
χ1522-22-2-22-22-22-20-2000002i2i−2i−2i000002000000022−2−20000i2i2−i2−i200
χ1622-22-2-22-22-22-20-2000002i2i−2i−2i0000020000000−2−2220000−i2−i2i2i200
χ1722-22-2-22-22-22-20-200000−2i−2i2i2i000002000000022−2−20000−i2−i2i2i200
χ1822-22-2-22-22-22-20-200000−2i−2i2i2i0000020000000−2−2220000i2i2−i2−i200
χ192-22-22-22-2-2-2222000000000022-2-2-2000000000000i2i2−i2−i2i2−i2i2−i200
χ202-22-22-22-2-2-2222000000000022-2-2-2000000000000−i2−i2i2i2−i2i2−i2i200
χ212-22-22-22-2-2-22220000000000-2-222-2000000000000i2i2−i2−i2−i2i2−i2i200
χ222-22-22-22-2-2-22220000000000-2-222-2000000000000−i2−i2i2i2i2−i2i2−i200
χ232-2-2-2-22222-2-220022-2-2-2000000000020000002−22−22−22−2000000
χ242-2-2-2-22222-2-220022-2-2-200000000002000000−22−22−22−22000000
χ252-2-2-2-22222-2-2200-2-222-2000000000020000002−22−2−22−22000000
χ262-2-2-2-22222-2-2200-2-222-200000000002000000−22−222−22−2000000
χ2744444444-4-4-4-40000000000000000000000000000000000002-2
χ2844444444-4-4-4-4000000000000000000000000000000000000-22
χ29444-4-44-4-4000000000002-22-22-22-200000002-200000000000000
χ30444-4-44-4-4000000000002-22-2-22-220000000-2200000000000000
χ31444-4-44-4-400000000000-22-222-22-20000000-2200000000000000
χ32444-4-44-4-400000000000-22-22-22-2200000002-200000000000000
χ3344-44-4-44-44-44-40400000000000000-4000000000000000000000
χ3444-44-4-44-4-44-4400000000000000000000000000002i−2i−2i2i000000
χ3544-44-4-44-4-44-440000000000000000000000000000−2i2i2i−2i000000
χ3644-4-44-4-440000002i−2i2i−2i02i−2i−2i2i0000000002-20000000000000000
χ3744-4-44-4-440000002i−2i2i−2i0−2i2i2i−2i000000000-220000000000000000
χ3844-4-44-4-44000000−2i2i−2i2i02i−2i−2i2i000000000-220000000000000000
χ3944-4-44-4-44000000−2i2i−2i2i0−2i2i2i−2i0000000002-20000000000000000
χ404-444-4-4-440000002i−2i−2i2i000002-2-220002i−2i000000000000000000
χ414-444-4-4-440000002i−2i−2i2i00000-222-2000−2i2i000000000000000000
χ424-444-4-4-44000000−2i2i2i−2i000002-2-22000−2i2i000000000000000000
χ434-444-4-4-44000000−2i2i2i−2i00000-222-20002i−2i000000000000000000
χ444-44-44-44-444-4-40000000000000000000000002-2-220000000000
χ454-44-44-44-444-4-4000000000000000000000000-222-20000000000
χ464-44-44-44-4-4-444-40000000000000040000000000000000000000
χ474-4-4-4-44444-4-4400000040000000000-400000000000000000000
χ484-4-4-4-4444-444-4000000000000000000000000000000002-2-2200
χ494-4-4-4-4444-444-400000000000000000000000000000000-222-200
χ508-8-8888-8-8000000000000000000000000000000000000000000

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