Finite Group Databasebeta

← Group #32096

Character table — Group #32096

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444224444444444888888882244
χ11111111111111111111111111111111111111111
χ21111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-1
χ511111111111111-1-111-111-11-1-1-111-1-1-1-111111-1-1-1
χ611111111111111-1-111-1-1-1-11-1-1-1-1-11111-1-1-1-11-111
χ711111111111111-1-1-1-1-111-11-111111111-1-1-1-1-11-1-1
χ811111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1111
χ9111111111111-1-11111-1111-1-111-1-111-1-111-1-1-1-11-1
χ10111111111111-1-11111-1-1-11-1-11111-1-111-1-111-1-1-11
χ11111111111111-1-111-1-1-1111-1-1-1-1-1-1-1-111-1-111111-1
χ12111111111111-1-111-1-1-1-1-11-1-1-1-11111-1-111-1-111-11
χ13111111111111-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-11-11
χ14111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-111-111-1
χ15111111111111-1-1-1-1-1-1111-1-1111-1-111-1-1-1-1111-1-11
χ16111111111111-1-1-1-1-1-11-1-1-1-111111-1-11111-1-11-11-1
χ1722222222-2-2-2-2222200200-2-2-20000000000000000
χ1822222222-2-2-2-222-2-200-2002-220000000000000000
χ1922222222-2-2-2-2-2-22200-200-2220000000000000000
χ2022222222-2-2-2-2-2-2-2-20020022-20000000000000000
χ212222-2-2-2-2-22-2200000002-20002i−2i002i−2i0000000000
χ222222-2-2-2-2-22-2200000002-2000−2i2i00−2i2i0000000000
χ232222-2-2-2-2-22-220000000-220002i−2i00−2i2i0000000000
χ242222-2-2-2-2-22-220000000-22000−2i2i002i−2i0000000000
χ252-22-22-22-222-2-200002-2000000002i−2i0000002i−2i0000
χ262-22-22-22-222-2-200002-200000000−2i2i000000−2i2i0000
χ272-22-22-22-222-2-20000-22000000002i−2i000000−2i2i0000
χ282-22-22-22-222-2-20000-2200000000−2i2i0000002i−2i0000
χ294444-4-4-4-44-44-40000000000000000000000000000
χ3044-4-444-4-40000000000000000000000002i2−2i2000000
χ3144-4-444-4-4000000000000000000000000−2i22i2000000
χ3244-4-4-4-4440000004-4000000000000000000000000
χ3344-4-4-4-444000000-44000000000000000000000000
χ344-44-44-44-4-4-4440000000000000000000000000000
χ354-44-4-44-444-4-440000000000000000000000000000
χ364-44-4-44-44-444-40000000000000000000000000000
χ374-4-444-4-4400004-400000000000000000000000000
χ384-4-444-4-440000-4400000000000000000000000000
χ394-4-44-444-4000000000000000000000022−2200000000
χ404-4-44-444-40000000000000000000000−222200000000

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