Finite Group Databasebeta

← Group #29837

Character table — Group #29837

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444444444444444888888884444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
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
χ9111111111111-1-1-1-11-11-111-1-111-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-11-11-111-1-111-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-11-11-1-1-111-1-11111-1-111-1-1-11-11
χ12111111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-1111-11-1
χ13111111111111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1111-1-11
χ14111111111111-1-1-1-1-11-1111-1-1-1-111-1-11111-1-1-111-1
χ15111111111111-1-1-1-1-11-11-1-11111-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-11-11-1-11111-1-1-1-11111-1-11-1-11
χ1722222222-2-2-2-222-2-222-2-200000000000000000000
χ1822222222-2-2-2-222-2-2-2-22200000000000000000000
χ1922222222-2-2-2-2-2-2222-2-2200000000000000000000
χ2022222222-2-2-2-2-2-222-222-200000000000000000000
χ212-2-22-2-22222-2-22-22-200002i−2i2i−2i0000000000000000
χ222-2-22-2-22222-2-22-22-20000−2i2i−2i2i0000000000000000
χ232-2-22-2-22222-2-2-22-2200002i−2i−2i2i0000000000000000
χ242-2-22-2-22222-2-2-22-220000−2i2i2i−2i0000000000000000
χ252-2-22-2-222-2-2222-2-22000000002-22-2000000000000
χ262-2-22-2-222-2-2222-2-2200000000-22-22000000000000
χ272-2-22-2-222-2-222-222-2000000002-2-22000000000000
χ282-2-22-2-222-2-222-222-200000000-222-2000000000000
χ29444-4-4-44-40000000000000000000000000022−220000
χ30444-4-4-44-400000000000000000000000000−22220000
χ3144-444-4-4-4000000000000000000000022−2200000000
χ3244-444-4-4-40000000000000000000000−222200000000
χ3344-4-4-44-444-44-40000000000000000000000000000
χ3444-4-4-44-44-44-440000000000000000000000000000
χ354-444-44-4-40000000000000000000022−220000000000
χ364-444-44-4-400000000000000000000−22220000000000
χ374-44-44-4-444-4-440000000000000000000000000000
χ384-44-44-4-44-444-40000000000000000000000000000
χ394-4-4-4444-40000000000000000000000002i2−2i2000000
χ404-4-4-4444-4000000000000000000000000−2i22i2000000

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