Finite Group Databasebeta

← Group #31483

Character table — Group #31483

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444224444444444888888884444
χ11111111111111111111111111111111111111111
χ21111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-11-1-11
χ31111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111-1-11-1-111-1-11-1-111111111-1-1-1-1
χ511111111111111-1-111111-1-111-1-1-111-1-111-1-1-1-1-11
χ611111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-111-1111
χ711111111111111-1-1-1-1111-1-111-111-1-111-1-1111-1-1-1
χ811111111111111-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1111-1
χ9111111111111-1-11111-1111-1-1-1-111-1-1-1-11111-11-1-1
χ10111111111111-1-11111-1-1-11-111-1111111-1-1-1-1-1-11-1
χ11111111111111-1-111-1-1-1111-1-1-1-1-1-11111-1-1-1-111-11
χ12111111111111-1-111-1-1-1-1-11-111-1-1-1-1-1-1-111111-111
χ13111111111111-1-1-1-111-111-11-1-11-1-1-1-11111-1-11-11-1
χ14111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-111-11-1-111111-1-1-1-111-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-11-11
χ1722222222-2-2-2-2222200-200-2-200200000000000000
χ1822222222-2-2-2-222-2-200-2002200-200000000000000
χ1922222222-2-2-2-2-2-22200200-2200-200000000000000
χ2022222222-2-2-2-2-2-2-2-2002002-200200000000000000
χ2122-22-22-2-2-22-2200002-2000002i−2i0002i−2i0000000000
χ2222-22-22-2-2-22-2200002-200000−2i2i000−2i2i0000000000
χ2322-22-22-2-2-22-220000-22000002i−2i000−2i2i0000000000
χ2422-22-22-2-2-22-220000-2200000−2i2i0002i−2i0000000000
χ2522-2-2-2-22222-2-200000002i−2i000002-20000002i−2i0000
χ2622-2-2-2-22222-2-200000002i−2i00000-22000000−2i2i0000
χ2722-2-2-2-22222-2-20000000−2i2i000002-2000000−2i2i0000
χ2822-2-2-2-22222-2-20000000−2i2i00000-220000002i−2i0000
χ29444-44-4-4-44-4-440000000000000000000000000000
χ30444-44-4-4-4-444-40000000000000000000000000000
χ3144-44-44-4-44-44-40000000000000000000000000000
χ3244-4-4-4-444-4-4440000000000000000000000000000
χ334-444-4-4-4400000000000000000000002i2−2i200000000
χ344-444-4-4-440000000000000000000000−2i22i200000000
χ354-44-4-444-40000000000000000000000002i2−2i2000000
χ364-44-4-444-4000000000000000000000000−2i22i2000000
χ374-4-444-44-40000004i−4i000000000000000000000000
χ384-4-444-44-4000000−4i4i000000000000000000000000
χ394-4-4-444-4400004-400000000000000000000000000
χ404-4-4-444-440000-4400000000000000000000000000

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