Finite Group Databasebeta

← Group #30660

Character table — Group #30660

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444244444444444888888882444
χ11111111111111111111111111111111111111111
χ211111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-111-1
χ3111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11
χ4111111111111111111-1-1-1-11-1-11-1-111111111-1-1-1-1
χ511111111111111-1-1-1-11111111-1-1-1-1-1-1-11111-1-11-1
χ611111111111111-1-1-1-111-1-11-1-1-1-1-11111-1-1-1-11-111
χ711111111111111-1-1-1-1-1-111111-1111111-1-1-1-1-11-1-1
χ811111111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1111111-11
χ9111111111111-1-1111-11111-1-1-1-11111-1-111-1-1-1-1-11
χ10111111111111-1-1111-111-1-1-111-111-1-111-1-1111-1-1-1
χ11111111111111-1-1111-1-1-111-1-1-1-1-1-1-1-111-1-111-1111
χ12111111111111-1-1111-1-1-1-1-1-111-1-1-111-1-111-1-1111-1
χ13111111111111-1-1-1-1-111111-1-1-11-1-1-1-11111-1-111-1-1
χ14111111111111-1-1-1-1-1111-1-1-1111-1-111-1-1-1-111-11-11
χ15111111111111-1-1-1-1-11-1-111-1-1-111111-1-1-1-1111-11-1
χ16111111111111-1-1-1-1-11-1-1-1-1-111111-1-11111-1-1-1-111
χ1722222222-2-2-2-22222-220000-200-200000000000000
χ1822222222-2-2-2-222-2-22-20000-200200000000000000
χ1922222222-2-2-2-2-2-222-2-20000200200000000000000
χ2022222222-2-2-2-2-2-2-2-2220000200-200000000000000
χ212-2-22-222-222-2-20000002i−2i0002-20000000002i−2i0000
χ222-2-22-222-222-2-20000002i−2i000-22000000000−2i2i0000
χ232-2-22-222-222-2-2000000−2i2i0002-2000000000−2i2i0000
χ242-2-22-222-222-2-2000000−2i2i000-220000000002i−2i0000
χ252-2-2-222-22-22-22000000002-200002-22-20000000000
χ262-2-2-222-22-22-22000000002-20000-22-220000000000
χ272-2-2-222-22-22-2200000000-2200002-2-220000000000
χ282-2-2-222-22-22-2200000000-220000-222-20000000000
χ29444-4-44-4-44-4-440000000000000000000000000000
χ30444-4-44-4-4-444-40000000000000000000000000000
χ3144-444-4-4-4000000000000000000000022−2200000000
χ3244-444-4-4-40000000000000000000000−222200000000
χ3344-4-4-4-44400000000000000000000000022−22000000
χ3444-4-4-4-444000000000000000000000000−2222000000
χ354-444-4-4-440000004i−4i000000000000000000000000
χ364-444-4-4-44000000−4i4i000000000000000000000000
χ374-44-44-44-400004i−4i00000000000000000000000000
χ384-44-44-44-40000−4i4i00000000000000000000000000
χ394-4-44-444-4-4-4440000000000000000000000000000
χ404-4-4-444-444-44-40000000000000000000000000000

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