Finite Group Databasebeta

← Group #30385

Character table — Group #30385

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111111112222444444444444888888881616161616161616
order1222222244444444444444448888888844444444
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111
χ511111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-111-1-1-1
χ611111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1111
χ711111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9111111111111-1-111-1-1-1-1-1-11111-1-111-1-11-111-1-11-1
χ10111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-11-1-111-11
χ11111111111111-1-111-1-1-1-1-1-111-1-111-1-1111-11-11-1-11
χ12111111111111-1-111-1-1-1-1-1-111-1-111-1-111-11-11-111-1
χ13111111111111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-11-11-11
χ14111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-111-11-11-1
χ15111111111111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1111-1
χ16111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-11
χ1722222222-2-2-2-22222-2-2-2-222-2-20000000000000000
χ1822222222-2-2-2-222-2-2-2-222-2-2220000000000000000
χ1922222222-2-2-2-2-2-2222222-2-2-2-20000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-222220000000000000000
χ212-2-222-22-22-22-2002i−2i0000002i−2i002-2002i−2i00000000
χ222-2-222-22-22-22-2002i−2i0000002i−2i00-2200−2i2i00000000
χ232-2-222-22-22-22-200−2i2i000000−2i2i002-200−2i2i00000000
χ242-2-222-22-22-22-200−2i2i000000−2i2i00-22002i−2i00000000
χ252-2-222-22-2-22-22002i−2i000000−2i2i2-2002i−2i0000000000
χ262-2-222-22-2-22-22002i−2i000000−2i2i-2200−2i2i0000000000
χ272-2-222-22-2-22-2200−2i2i0000002i−2i2-200−2i2i0000000000
χ282-2-222-22-2-22-2200−2i2i0000002i−2i-22002i−2i0000000000
χ29444-4-4-44-400004-400000000000000000000000000
χ30444-4-4-44-40000-4400000000000000000000000000
χ3144-44-44-4-400000000004-400000000000000000000
χ3244-44-44-4-40000000000-4400000000000000000000
χ3344-4-44-4-4444-4-40000000000000000000000000000
χ3444-4-44-4-44-4-4440000000000000000000000000000
χ354-444-4-4-440000000000004i−4i000000000000000000
χ364-444-4-4-44000000000000−4i4i000000000000000000
χ374-44-444-4-44-4-440000000000000000000000000000
χ384-44-444-4-4-444-40000000000000000000000000000
χ394-4-4-4-4444000000004-40000000000000000000000
χ404-4-4-4-444400000000-440000000000000000000000

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