Finite Group Databasebeta

← Group #30619

Character table — Group #30619

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444222444444444888888882444
χ11111111111111111111111111111111111111111
χ21111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-111-1
χ311111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-11-1-11
χ411111111111111111-1-11-1-1-1-11-1-1111111111-1-1-1-1
χ511111111111111-1-1-1111-1-111-111-11111-1-1-1-1-11-1-1
χ611111111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ711111111111111-1-1-1-1-111111-111-1-1-1-1-11111-1-11-1
χ811111111111111-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11-111
χ9111111111111-1-111-111-11111-1-1-1111-1-111-1-1-1-1-11
χ10111111111111-1-111-111-111-1-1-1111-1-111-1-1111-1-1-1
χ11111111111111-1-111-1-1-1-1-1-111-1-1-11-1-111-1-111-1111
χ12111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-111-1-1111-1
χ13111111111111-1-1-1-1111-1-1-1111-1-1-111-1-1-1-1111-11-1
χ14111111111111-1-1-1-1111-1-1-1-1-1111-1-1-11111-1-1-1-111
χ15111111111111-1-1-1-11-1-1-111111-1-1-1-1-11111-1-111-1-1
χ16111111111111-1-1-1-11-1-1-111-1-1111-111-1-1-1-111-11-11
χ1722222222-2-2-2-22222-200-20000200-2000000000000
χ1822222222-2-2-2-222-2-2200-20000-2002000000000000
χ1922222222-2-2-2-2-2-22220020000-200-2000000000000
χ2022222222-2-2-2-2-2-2-2-2-200200002002000000000000
χ212-22-22-22-22-22-2000000002i−2i2-2000000002i−2i000000
χ222-22-22-22-22-22-2000000002i−2i-2200000000−2i2i000000
χ232-22-22-22-22-22-200000000−2i2i2-200000000−2i2i000000
χ242-22-22-22-22-22-200000000−2i2i-22000000002i−2i000000
χ252-2-2-2-22222-2-22000002-20000002-20002-200000000
χ262-2-2-2-22222-2-22000002-2000000-22000-2200000000
χ272-2-2-2-22222-2-2200000-220000002-2000-2200000000
χ282-2-2-2-22222-2-2200000-22000000-220002-200000000
χ29444-4-4-4-440000004i−4i000000000000000000000000
χ30444-4-4-4-44000000−4i4i000000000000000000000000
χ3144-44-4-44-444-4-40000000000000000000000000000
χ3244-44-4-44-4-4-4440000000000000000000000000000
χ3344-4-444-4-400004i−4i00000000000000000000000000
χ3444-4-444-4-40000−4i4i00000000000000000000000000
χ354-444-44-4-4000000000000000000002i2−2i20000000000
χ364-444-44-4-400000000000000000000−2i22i20000000000
χ374-44-44-44-4-44-440000000000000000000000000000
χ384-4-444-4-440000000000000000000000000022−220000
χ394-4-444-4-4400000000000000000000000000−22220000
χ404-4-4-4-4444-444-40000000000000000000000000000

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