Finite Group Databasebeta

← Group #32018

Character table — Group #32018

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244442244222444444444888888884444
χ11111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1
χ311111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-11-11
χ411111111111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111-1-1-111-11-1-1-1111111-1-111-1-11-1-1-1
χ611111111111111-1-1-111-11-1-1-1-1-1-1-1-1-111-1-11111-11
χ711111111111111-1-1-1-1-1-11-1111111-1-111-1-111-1-11-1
χ811111111111111-1-1-1-1-1-11-111-1-1-1-111-1-111-1-1-1111
χ9111111111111-1-111-1111-1-11111-1-111-1-1-1-111-11-1-1
χ10111111111111-1-111-1111-1-111-1-111-1-11111-1-1-1-1-11
χ11111111111111-1-111-1-1-11-1-1-1-111-1-1-1-11111-1-1111-1
χ12111111111111-1-111-1-1-11-1-1-1-1-1-11111-1-1-1-1111-111
χ13111111111111-1-1-1-1111-1-11-1-111-1-11111-1-1-1-1-1-111
χ14111111111111-1-1-1-1111-1-11-1-1-1-111-1-1-1-11111-111-1
χ15111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111111-1-11
χ16111111111111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-111-1-1
χ1722222222-2-2-2-22222-200-2-22000000000000000000
χ1822222222-2-2-2-222-2-22002-2-2000000000000000000
χ1922222222-2-2-2-2-2-222200-22-2000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-200222000000000000000000
χ2122-22-22-2-2-22-2200000000002i−2i2i−2i000000002-20000
χ2222-22-22-2-2-22-2200000000002i−2i−2i2i00000000-220000
χ2322-22-22-2-2-22-220000000000−2i2i2i−2i00000000-220000
χ2422-22-22-2-2-22-220000000000−2i2i−2i2i000000002-20000
χ252-2-2-2222-222-2-2000002-200000002i−2i00002i−2i000000
χ262-2-2-2222-222-2-2000002-20000000−2i2i0000−2i2i000000
χ272-2-2-2222-222-2-200000-2200000002i−2i0000−2i2i000000
χ282-2-2-2222-222-2-200000-220000000−2i2i00002i−2i000000
χ29444-44-4-4-400004-400000000000000000000000000
χ30444-44-4-4-40000-4400000000000000000000000000
χ3144-44-44-4-44-44-40000000000000000000000000000
χ3244-4-4-4-444000000000000000000000022−2200000000
χ3344-4-4-4-4440000000000000000000000−222200000000
χ344-444-4-44-40000004i−4i000000000000000000000000
χ354-444-4-44-4000000−4i4i000000000000000000000000
χ364-44-4-44-444-4-440000000000000000000000000000
χ374-44-4-44-44-444-40000000000000000000000000000
χ384-4-444-4-440000000000000000000022−220000000000
χ394-4-444-4-4400000000000000000000−22220000000000
χ404-4-4-4444-4-4-4440000000000000000000000000000

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