Finite Group Databasebeta

← Group #12178

Character table — Group #12178

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size11112244888888888816161616161616161616
order1222222244444444442444448888
χ11111111111111111111111111111
χ2111111111111111111-1-111-1-1-1-1-1-1
χ31111111111-1-111-1-11111-1-111-1-1-1-1
χ41111111111-1-111-1-111-1-1-1-1-1-11111
χ511111111-1-111-1-1-1-11111-11-1-111-1-1
χ611111111-1-111-1-1-1-111-1-1-1111-1-111
χ711111111-1-1-1-1-1-11111111-1-1-1-1-111
χ811111111-1-1-1-1-1-11111-1-11-11111-1-1
χ9222222222200-2-200-2-20000000000
χ1022222222-2-2002200-2-20000000000
χ11222222-2-200000022-2200-20000000
χ12222222-2-2000000-2-2-220020000000
χ13222222-2-2002200002-2000-2000000
χ14222222-2-200-2-200002-20002000000
χ1522-2-22-2-2200002-20000000000i2−i2i2−i2
χ1622-2-22-2-2200002-20000000000−i2i2−i2i2
χ1722-2-22-2-220000-220000000000i2−i2−i2i2
χ1822-2-22-2-220000-220000000000−i2i2i2−i2
χ194444-4-40000000000002-200000000
χ204444-4-4000000000000-2200000000
χ2144-4-44-44-400000000000000000000
χ2244-4-4-4400000000000000002i−2i0000
χ2344-4-4-440000000000000000−2i2i0000
χ244-44-400002-22i−2i002i−2i000000000000
χ254-44-400002-2−2i2i00−2i2i000000000000
χ264-44-40000-222i−2i00−2i2i000000000000
χ274-44-40000-22−2i2i002i−2i000000000000
χ288-8-88000000000000000000000000

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