Finite Group Databasebeta

← Group #30179

Character table — Group #30179

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444222444444444888888884444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11
χ51111111111111111-1-111-1-1-1-11-1-1111111111-1-1-1-1
χ61111111111111111-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-111-11111-1-1-1-1-11-11
χ81111111111111111-1-1-1-111-1-1-111-1-1-1-1-111111-11-1
χ9111111111111-1-1-1-11111-1-1-1-1-111-111-1-111-1-11-1-11
χ10111111111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-111-111-1
χ11111111111111-1-1-1-111-1-111-1-11-1-1111-1-1-1-11111-1-1
χ12111111111111-1-1-1-111-1-111-1-11-1-11-1-11111-1-1-1-111
χ13111111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-111-1
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1
χ1722222222-2-2-2-222-2-2002-20000-2002000000000000
χ1822222222-2-2-2-222-2-200-220000200-2000000000000
χ1922222222-2-2-2-2-2-222002-20000200-2000000000000
χ2022222222-2-2-2-2-2-22200-220000-2002000000000000
χ212-222-22-2-222-2-22i−2i2i−2i00002i−2i0002-20000000000000
χ222-222-22-2-222-2-22i−2i2i−2i0000−2i2i000-220000000000000
χ232-222-22-2-222-2-2−2i2i−2i2i00002i−2i000-220000000000000
χ242-222-22-2-222-2-2−2i2i−2i2i0000−2i2i0002-20000000000000
χ252-222-22-2-2-2-2222i−2i−2i2i2-200002i−2i0000000000000000
χ262-222-22-2-2-2-2222i−2i−2i2i-220000−2i2i0000000000000000
χ272-222-22-2-2-2-222−2i2i2i−2i2-20000−2i2i0000000000000000
χ282-222-22-2-2-2-222−2i2i2i−2i-2200002i−2i0000000000000000
χ29444-44-4-4-44-44-40000000000000000000000000000
χ30444-44-4-4-4-44-440000000000000000000000000000
χ3144-44-4-4-44000000000000000000000000002i2−2i20000
χ3244-44-4-4-4400000000000000000000000000−2i22i20000
χ3344-4-4-444-4000000000000000000002i2−2i20000000000
χ3444-4-4-444-400000000000000000000−2i22i20000000000
χ354-44-4-4-4444-4-440000000000000000000000000000
χ364-44-4-4-444-444-40000000000000000000000000000
χ374-4-444-44-40000000000000000000000002i2−2i2000000
χ384-4-444-44-4000000000000000000000000−2i22i2000000
χ394-4-4-444-44000000000000000000000022−2200000000
χ404-4-4-444-440000000000000000000000−222200000000

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