Finite Group Databasebeta

← Group #12239

Character table — Group #12239

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size11112244888888888816161616161616161616
order1222224444444444442444888888
χ11111111111111111111111111111
χ21111111111111111111-11-1-1-1-1-1-1-1
χ31111111111-1-111-1-111-11-1111-1-1-1-1
χ41111111111-1-111-1-111-1-1-1-1-1-11111
χ511111111-1-111-1-1-1-111-1111-1-111-1-1
χ611111111-1-111-1-1-1-111-1-11-111-1-111
χ711111111-1-1-1-1-1-1111111-11-1-1-1-111
χ811111111-1-1-1-1-1-111111-1-1-11111-1-1
χ9222222222200-2-200-2-20000000000
χ1022222222-2-2002200-2-20000000000
χ11222222-2-2000000222-2-2000000000
χ12222222-2-2000000-2-22-22000000000
χ13222222-2-200220000-2200-20000000
χ14222222-2-200-2-20000-220020000000
χ1522-2-2-22-222i−2i000000000000002−2i2−i2
χ1622-2-2-22-222i−2i00000000000000−22−i2i2
χ1722-2-2-22-22−2i2i000000000000002−2−i2i2
χ1822-2-2-22-22−2i2i00000000000000−22i2−i2
χ194444-4-4000000000000020-2000000
χ204444-4-40000000000000-202000000
χ2144-4-44-400000000000000002-20000
χ2244-4-44-40000000000000000-220000
χ2344-4-4-444-400000000000000000000
χ244-44-40000002-22i−2i2i−2i000000000000
χ254-44-40000002-2−2i2i−2i2i000000000000
χ264-44-4000000-222i−2i−2i2i000000000000
χ274-44-4000000-22−2i2i2i−2i000000000000
χ288-8-88000000000000000000000000

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