Finite Group Databasebeta

← Group #32076

Character table — Group #32076

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244442244444444444444888888882444
χ11111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ31111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-11
χ41111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111-1-1-1-1-1111-1-1111111-1-111-1-1-1-11-1
χ611111111111111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1111-111
χ711111111111111-1-1-1-1-1-1-11111111-1-111-1-111-11-1-1
χ811111111111111-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-111-11
χ9111111111111-1-1111-1-111-11111-1-11111-1-1-1-11-1-1-1
χ10111111111111-1-1111-1-111-111-1-111-1-1-1-11111-1-1-11
χ11111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1
χ12111111111111-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111
χ13111111111111-1-1-1-1-11111-1-1-111-1-111-1-1-1-111-11-11
χ14111111111111-1-1-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1
χ15111111111111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-111
χ16111111111111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1111-11-1
χ1722222222-2-2-2-22222-22-200-2000000000000000000
χ1822222222-2-2-2-222-2-22-2200-2000000000000000000
χ1922222222-2-2-2-2-2-222-2-22002000000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2002000000000000000000
χ212-222-2-22-2-22-2200000000002i−2i002i−2i0000002-20000
χ222-222-2-22-2-22-2200000000002i−2i00−2i2i000000-220000
χ232-222-2-22-2-22-220000000000−2i2i002i−2i000000-220000
χ242-222-2-22-2-22-220000000000−2i2i00−2i2i0000002-20000
χ252-2-2-2222-222-2-200000002-20002i−2i002i−2i0000000000
χ262-2-2-2222-222-2-200000002-2000−2i2i00−2i2i0000000000
χ272-2-2-2222-222-2-20000000-220002i−2i00−2i2i0000000000
χ282-2-2-2222-222-2-20000000-22000−2i2i002i−2i0000000000
χ29444-44-4-4-400000000000000000000000022−22000000
χ30444-44-4-4-4000000000000000000000000−2222000000
χ3144-44-44-4-4000000000000000000000022−2200000000
χ3244-44-44-4-40000000000000000000000−222200000000
χ3344-4-4-4-4444-4-440000000000000000000000000000
χ3444-4-4-4-444-444-40000000000000000000000000000
χ354-444-4-44-44-44-40000000000000000000000000000
χ364-44-4-44-440000004-4000000000000000000000000
χ374-44-4-44-44000000-44000000000000000000000000
χ384-4-444-4-4400004-400000000000000000000000000
χ394-4-444-4-440000-4400000000000000000000000000
χ404-4-4-4444-4-4-4440000000000000000000000000000

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