Finite Group Databasebeta

← Group #29935

Character table — Group #29935

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444244444444444888888882444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-111-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-111-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111-1-1-1-11-1-1111-1-111-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-11-1-1111-1-111-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-11-1-1-1-1111-1-11111-1-111-1-1-11-11
χ12111111111111-1-1-1-11-1-1-1-1111-1-111-1-111-1-1111-11-1
χ13111111111111-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1111-1-11
χ14111111111111-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-111-1
χ15111111111111-1-1-1-1-111-1-1-11111-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-11-1-11
χ1722222222-2-2-2-222-2-222-200-2000000000000000000
χ1822222222-2-2-2-222-2-2-2-22002000000000000000000
χ1922222222-2-2-2-2-2-2222-2200-2000000000000000000
χ2022222222-2-2-2-2-2-222-22-2002000000000000000000
χ212-222-22-2-22-22-22-22-2000000002i−2i2i−2i000000000000
χ222-222-22-2-22-22-22-22-200000000−2i2i−2i2i000000000000
χ232-222-22-2-22-22-2-22-22000000002i−2i−2i2i000000000000
χ242-222-22-2-22-22-2-22-2200000000−2i2i2i−2i000000000000
χ252-222-22-2-2-22-222-2-220002i−2i02i−2i0000000000000000
χ262-222-22-2-2-22-222-2-22000−2i2i0−2i2i0000000000000000
χ272-222-22-2-2-22-22-222-20002i−2i0−2i2i0000000000000000
χ282-222-22-2-2-22-22-222-2000−2i2i02i−2i0000000000000000
χ29444-44-4-4-40000000000000000000022−220000000000
χ30444-44-4-4-400000000000000000000−22220000000000
χ3144-44-4-4-440000000000000000000000002i2−2i2000000
χ3244-44-4-4-44000000000000000000000000−2i22i2000000
χ3344-4-4-444-444-4-40000000000000000000000000000
χ3444-4-4-444-4-4-4440000000000000000000000000000
χ354-44-4-4-444000000000000000000000022−2200000000
χ364-44-4-4-4440000000000000000000000−222200000000
χ374-4-444-44-4000000000000000000000000002i2−2i20000
χ384-4-444-44-400000000000000000000000000−2i22i20000
χ394-4-4-444-444-4-440000000000000000000000000000
χ404-4-4-444-44-444-40000000000000000000000000000

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