Finite Group Databasebeta

← Group #32416

Character table — Group #32416

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444244444444444888888884444
χ11111111111111111111111111111111111111111
χ21111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111-1-1-1-1-11111111-1-11111-1-1-1-1-11-1-1
χ611111111111111-1-1-1-1-1111-1-11111-1-1-1-111111-1-1-1
χ711111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1111
χ811111111111111-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-111
χ9111111111111-1-111-1-1111-111-1-11111-1-111-1-1-1-11-1
χ10111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-111-1-111111-1
χ11111111111111-1-111-1-11-1-1-1111111-1-111-1-111-1-1-11
χ12111111111111-1-111-1-11-1-1-1-1-111-1-111-1-111-1-111-11
χ13111111111111-1-1-1-111-111-111-1-1-1-111-1-1-1-1111-1-11
χ14111111111111-1-1-1-111-111-1-1-1-1-111-1-11111-1-1-11-11
χ15111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11-11-1
χ16111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-111-1
χ1722222222-2-2-2-222222-2-200-2000000000000000000
χ1822222222-2-2-2-222-2-2-22200-2000000000000000000
χ1922222222-2-2-2-2-2-222-22-2002000000000000000000
χ2022222222-2-2-2-2-2-2-2-22-22002000000000000000000
χ21222-2-2-22-22-2-2200000002i−2i000002i−2i00002-2000000
χ22222-2-2-22-22-2-2200000002i−2i00000−2i2i0000-22000000
χ23222-2-2-22-22-2-220000000−2i2i000002i−2i0000-22000000
χ24222-2-2-22-22-2-220000000−2i2i00000−2i2i00002-2000000
χ252-22-222-2-2-22-2200000000002i−2i2i−2i00002-200000000
χ262-22-222-2-2-22-2200000000002i−2i−2i2i0000-2200000000
χ272-22-222-2-2-22-220000000000−2i2i2i−2i0000-2200000000
χ282-22-222-2-2-22-220000000000−2i2i−2i2i00002-200000000
χ29444-4-4-44-4-444-40000000000000000000000000000
χ3044-444-4-4-40000004-4000000000000000000000000
χ3144-444-4-4-4000000-44000000000000000000000000
χ3244-4-4-44-44000000000000000000002i2−2i20000000000
χ3344-4-4-44-4400000000000000000000−2i22i20000000000
χ344-444-4-4-4444-4-40000000000000000000000000000
χ354-444-4-4-44-4-4440000000000000000000000000000
χ364-44-444-4-44-44-40000000000000000000000000000
χ374-4-44-444-400004i−4i00000000000000000000000000
χ384-4-44-444-40000−4i4i00000000000000000000000000
χ394-4-4-44-4440000000000000000000000000022−220000
χ404-4-4-44-44400000000000000000000000000−22220000

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