Finite Group Databasebeta

← Group #12147

Character table — Group #12147

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size11112244888888888816161616161616161616
order1222224444444444442444888888
χ11111111111111111111111111111
χ2111111111111111111-111-1-1-1-1-1-1-1
χ31111111111-1-111-1-1111-1-1111-1-1-1-1
χ41111111111-1-111-1-111-1-1-1-1-1-11111
χ511111111-1-111-1-1-1-11111-11-1-111-1-1
χ611111111-1-111-1-1-1-111-11-1-111-1-111
χ711111111-1-1-1-1-1-111111-111-1-1-1-111
χ811111111-1-1-1-1-1-11111-1-11-11111-1-1
χ9222222222200-2-200-2-20000000000
χ1022222222-2-2002200-2-20000000000
χ11222222-2-2000000222-200-20000000
χ12222222-2-2000000-2-22-20020000000
χ13222222-2-200220000-220-200000000
χ14222222-2-200-2-20000-220200000000
χ152-2-22-222-22i−2i00000000000000i2−i22−2
χ162-2-22-222-22i−2i00000000000000−i2i2−22
χ172-2-22-222-2−2i2i00000000000000i2−i2−22
χ182-2-22-222-2−2i2i00000000000000−i2i22−2
χ194444-4-4000000000000200-2000000
χ204444-4-4000000000000-2002000000
χ214-44-40000002i−2i2i−2i2-2000000000000
χ224-44-40000002i−2i−2i2i-22000000000000
χ234-44-4000000−2i2i2i−2i-22000000000000
χ244-44-4000000−2i2i−2i2i2-2000000000000
χ254-4-444-400000000000000002i−2i0000
χ264-4-444-40000000000000000−2i2i0000
χ274-4-44-44-4400000000000000000000
χ2888-8-8000000000000000000000000

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