Finite Group Databasebeta

← Group #32192

Character table — Group #32192

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444444444444444888888882244
χ11111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1
χ31111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-11-11
χ41111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111-1-1-1-1-1111-1-1111111-1-111-1-11-1-1-1
χ611111111111111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-11
χ711111111111111-1-1-1-1-1-1-11111111-1-111-1-111-1-11-1
χ811111111111111-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1-1111
χ9111111111111-1-1111-1-111-11111-1-11111-1-1-1-1-11-1-1
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
χ12111111111111-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-11-111
χ13111111111111-1-1-1-1-11111-1-1-111-1-111-1-1-1-111-1-111
χ14111111111111-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-111-1
χ15111111111111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-11-1-11
χ16111111111111-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1
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
χ2122-2-2-222-222-2-200000000002i−2i2i−2i00002-200000000
χ2222-2-2-222-222-2-200000000002i−2i−2i2i0000-2200000000
χ2322-2-2-222-222-2-20000000000−2i2i2i−2i0000-2200000000
χ2422-2-2-222-222-2-20000000000−2i2i−2i2i00002-200000000
χ252-2-222-22-22-22-200000002i−2i000002-200002i−2i000000
χ262-2-222-22-22-22-200000002i−2i00000-220000−2i2i000000
χ272-2-222-22-22-22-20000000−2i2i000002-20000−2i2i000000
χ282-2-222-22-22-22-20000000−2i2i00000-2200002i−2i000000
χ294444-4-4-4-40000000000000000000000000022−220000
χ304444-4-4-4-400000000000000000000000000−22220000
χ3144-4-44-4-4400004i−4i00000000000000000000000000
χ3244-4-44-4-440000−4i4i00000000000000000000000000
χ3344-4-4-444-4-4-4440000000000000000000000000000
χ344-44-444-4-4000000000000000000002i2−2i20000000000
χ354-44-444-4-400000000000000000000−2i22i20000000000
χ364-44-4-4-4444-4-440000000000000000000000000000
χ374-44-4-4-444-444-40000000000000000000000000000
χ384-4-444-44-4-44-440000000000000000000000000000
χ394-4-44-44-440000004-4000000000000000000000000
χ404-4-44-44-44000000-44000000000000000000000000

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