Finite Group Databasebeta

← Group #30752

Character table — Group #30752

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444224444444444888888882224
χ11111111111111111111111111111111111111111
χ21111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111-1-111-1-1-1-111-1-111111111-1-1-1-1
χ511111111111111-1-111-1-1-1-1111-111-1-1-1-111111-1-1-1
χ611111111111111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-11-111
χ711111111111111-1-1-1-1-1-111111-1111111-1-1-1-1-11-1-1
χ811111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-11111-1111
χ9111111111111-1-111111-11111-1-1-1-111-1-111-1-1-1-1-11
χ10111111111111-1-111111-111-1-1-1-111-1-111-1-111-1-11-1
χ11111111111111-1-111-1-11-1-1-111-1-1-1-1-1-111-1-11111-11
χ12111111111111-1-111-1-11-1-1-1-1-1-1-11111-1-111-1-1111-1
χ13111111111111-1-1-1-111-11-1-111-11-1-1-1-11111-1-1-111-1
χ14111111111111-1-1-1-111-11-1-1-1-1-111111-1-1-1-111-11-11
χ15111111111111-1-1-1-1-1-1-111111-11-1-111-1-1-1-1111-11-1
χ16111111111111-1-1-1-1-1-1-1111-1-1-1111-1-11111-1-11-1-11
χ1722222222-2-2-2-2222200-220000-2-200000000000000
χ1822222222-2-2-2-222-2-2002-20000-2200000000000000
χ1922222222-2-2-2-2-2-22200-2-200002200000000000000
χ2022222222-2-2-2-2-2-2-2-2002200002-200000000000000
χ2122-22-22-2-222-2-2000000002i−2i00002i−2i002-200000000
χ2222-22-22-2-222-2-2000000002i−2i0000−2i2i00-2200000000
χ2322-22-22-2-222-2-200000000−2i2i00002i−2i00-2200000000
χ2422-22-22-2-222-2-200000000−2i2i0000−2i2i002-200000000
χ252-2-2-222-22-22-2200002-200002-2000000002-2000000
χ262-2-2-222-22-22-2200002-20000-2200000000-22000000
χ272-2-2-222-22-22-220000-2200002-200000000-22000000
χ282-2-2-222-22-22-220000-220000-22000000002-2000000
χ29444-44-4-4-4000000000000000000000000002i2−2i20000
χ30444-44-4-4-400000000000000000000000000−2i22i20000
χ3144-44-44-4-4-4-4440000000000000000000000000000
χ3244-4-4-4-4440000004-4000000000000000000000000
χ3344-4-4-4-444000000-44000000000000000000000000
χ344-444-4-4-440000000000000000000022−220000000000
χ354-444-4-4-4400000000000000000000−22220000000000
χ364-44-4-444-44-4-440000000000000000000000000000
χ374-44-4-444-4-444-40000000000000000000000000000
χ384-4-444-44-400004-400000000000000000000000000
χ394-4-444-44-40000-4400000000000000000000000000
χ404-4-4-444-444-44-40000000000000000000000000000

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