Finite Group Databasebeta

← Group #32499

Character table — Group #32499

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444444444444444888888884444
χ11111111111111111111111111111111111111111
χ211111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111-1-11-1-111-1-11-1-111111111-1-1-1-1
χ511111111111111-1-111-1111-111-1-1-11111-1-1-1-1-1-11-1
χ611111111111111-1-111-1111-1-1-1-111-1-1-1-11111-1-1-11
χ711111111111111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-11111111-1
χ811111111111111-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-11
χ9111111111111-1-11111-1-1-1-1111-111-1-11111-1-1-11-1-1
χ10111111111111-1-11111-1-1-1-11-1-1-1-1-111-1-1-1-111-1111
χ11111111111111-1-111-1-1-111-1111-11111-1-1-1-1111-1-1-1
χ12111111111111-1-111-1-1-111-11-1-1-1-1-1-1-11111-1-11-111
χ13111111111111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1111-1-11
χ14111111111111-1-1-1-1111-1-1-1-1-1-111111-1-111-1-11-11-1
χ15111111111111-1-1-1-1-1-1111-1-1111-1-111-1-111-1-1-11-11
χ16111111111111-1-1-1-1-1-1111-1-1-1-1111-1-111-1-111-111-1
χ1722222222-2-2-2-2222200200-2-200-200000000000000
χ1822222222-2-2-2-222-2-200-200-2200200000000000000
χ1922222222-2-2-2-2-2-22200-2002-200200000000000000
χ2022222222-2-2-2-2-2-2-2-2002002200-200000000000000
χ2122-22-22-2-22-2-2200002i−2i000000002i−2i00002-2000000
χ2222-22-22-2-22-2-2200002i−2i00000000−2i2i0000-22000000
χ2322-22-22-2-22-2-220000−2i2i000000002i−2i0000-22000000
χ2422-22-22-2-22-2-220000−2i2i00000000−2i2i00002-2000000
χ252-222-2-22-2-22-2200000002i−2i002-20002i−2i0000000000
χ262-222-2-22-2-22-2200000002i−2i00-22000−2i2i0000000000
χ272-222-2-22-2-22-220000000−2i2i002-2000−2i2i0000000000
χ282-222-2-22-2-22-220000000−2i2i00-220002i−2i0000000000
χ29444-44-4-4-400004-400000000000000000000000000
χ30444-44-4-4-40000-4400000000000000000000000000
χ3144-44-44-4-4-444-40000000000000000000000000000
χ3244-4-4-4-444000000000000000000000000002i2−2i20000
χ3344-4-4-4-44400000000000000000000000000−2i22i20000
χ344-444-4-44-44-44-40000000000000000000000000000
χ354-44-4-44-4400000000000000000000002i2−2i200000000
χ364-44-4-44-440000000000000000000000−2i22i200000000
χ374-4-444-4-4444-4-40000000000000000000000000000
χ384-4-444-4-44-4-4440000000000000000000000000000
χ394-4-4-4444-40000004i−4i000000000000000000000000
χ404-4-4-4444-4000000−4i4i000000000000000000000000

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