Finite Group Databasebeta

← Group #12129

Character table — Group #12129

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size11112244888888888816161616161616161616
order1222224422444444442444888888
χ11111111111111111111111111111
χ2111111111111111111-11-11-1-1-1-1-1-1
χ3111111111111-1-1-1-1111-11-111-1-1-1-1
χ4111111111111-1-1-1-111-1-1-1-1-1-11111
χ511111111-1-1-1-111-1-111111-1-1-111-1-1
χ611111111-1-1-1-111-1-111-11-1-111-1-111
χ711111111-1-1-1-1-1-111111-111-1-1-1-111
χ811111111-1-1-1-1-1-11111-1-1-111111-1-1
χ92222222222-2-20000-2-20000000000
χ1022222222-2-2220000-2-20000000000
χ11222222-2-2000000222-2000-2000000
χ12222222-2-2000000-2-22-20002000000
χ13222222-2-200002200-220-200000000
χ14222222-2-20000-2-200-220200000000
χ152-22-22-2-222-200000000000000i2−i2i2−i2
χ162-22-22-2-222-200000000000000−i2i2−i2i2
χ172-22-22-2-22-2200000000000000i2−i2−i2i2
χ182-22-22-2-22-2200000000000000−i2i2i2−i2
χ194444-4-400000000000020-20000000
χ204444-4-4000000000000-2020000000
χ2144-4-40000002i−2i2i−2i2-2000000000000
χ2244-4-40000002i−2i−2i2i-22000000000000
χ2344-4-4000000−2i2i2i−2i-22000000000000
χ2444-4-4000000−2i2i−2i2i2-2000000000000
χ254-44-44-44-400000000000000000000
χ264-44-4-4400000000000000002-20000
χ274-44-4-440000000000000000-220000
χ288-8-88000000000000000000000000

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