Finite Group Databasebeta

← Group #12133

Character table — Group #12133

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31
size1111224444448888888888161616161616161616
order1222222244442244444444244448888
χ11111111111111111111111111111111
χ21111111111111111111111-1-11-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-111-1-11-1-11111
χ511111111-1-1-1-111-1-1-1-1111111-1-1-111-1-1
χ611111111-1-1-1-111-1-1-1-11111-1-1-111-1-111
χ711111111-1-1-1-1-1-11111-1-11111-1-1-1-1-111
χ811111111-1-1-1-1-1-11111-1-111-1-1-11111-1-1
χ922222222222200000000-2-200-2000000
χ1022222222-2-2-2-200000000-2-2002000000
χ11222222-2-200000022-2-200-22000000000
χ12222222-2-2000000-2-22200-22000000000
χ13222222-2-20000220000-2-22-2000000000
χ14222222-2-20000-2-20000222-2000000000
χ152-22-2-222-22i2i−2i−2i0000000000000002−2i2−i2
χ162-22-2-222-22i2i−2i−2i000000000000000−22−i2i2
χ172-22-2-222-2−2i−2i2i2i0000000000000002−2−i2i2
χ182-22-2-222-2−2i−2i2i2i000000000000000−22i2−i2
χ194444-4-400000000000000002-20000000
χ204444-4-40000000000000000-220000000
χ2144-4-400002i−2i2i−2i2-2002i−2i0000000000000
χ2244-4-400002i−2i2i−2i-2200−2i2i0000000000000
χ2344-4-40000−2i2i−2i2i2-200−2i2i0000000000000
χ2444-4-40000−2i2i−2i2i-22002i−2i0000000000000
χ254-44-44-400000000000000000002i−2i0000
χ264-44-44-40000000000000000000−2i2i0000
χ274-44-4-44-4400000000000000000000000
χ284-4-4400002-2-22002-2002-200000000000
χ294-4-4400002-2-2200-2200-2200000000000
χ304-4-440000-222-2002-200-2200000000000
χ314-4-440000-222-200-22002-200000000000

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