Finite Group Databasebeta

← Group #32328

Character table — Group #32328

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444444444444444888888884444
χ11111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111-1-11-1-111-1-1-1-111111111-1-1-1-1
χ511111111111111-1-1-111-1111-111-1-11111-1-1-1-1-1-11-1
χ611111111111111-1-1-111-1111-1-1-111-1-1-1-11111-1-1-11
χ711111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111111-1
χ811111111111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-111-11
χ9111111111111-1-111-1111-1-1-1-1111111-1-111-1-11-1-1-1
χ10111111111111-1-111-1111-1-1-1-1-1-1-1-1-1-111-1-1111-111
χ11111111111111-1-111-1-1-1111-1-11111-1-111-1-111-11-1-1
χ12111111111111-1-111-1-1-1111-1-1-1-1-1-111-1-111-1-1-1111
χ13111111111111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-111-11-11
χ14111111111111-1-1-1-1111-1-1-1-11-1-111-1-11111-1-1-111-1
χ15111111111111-1-1-1-11-1-1-111-1111-1-1-1-11111-1-11-1-11
χ16111111111111-1-1-1-11-1-1-111-11-1-11111-1-1-1-1111-11-1
χ1722222222-2-2-2-22222200-200-2-20000000000000000
χ1822222222-2-2-2-222-2-2-200200-220000000000000000
χ1922222222-2-2-2-2-2-222-200-200220000000000000000
χ2022222222-2-2-2-2-2-2-2-22002002-20000000000000000
χ21222-2-2-22-2-22-22000000002i−2i00002i−2i0000002-20000
χ22222-2-2-22-2-22-22000000002i−2i0000−2i2i000000-220000
χ23222-2-2-22-2-22-2200000000−2i2i00002i−2i000000-220000
χ24222-2-2-22-2-22-2200000000−2i2i0000−2i2i0000002-20000
χ2522-22-2-2-22-2-222000002-2000002i−2i002i−2i0000000000
χ2622-22-2-2-22-2-222000002-200000−2i2i00−2i2i0000000000
χ2722-22-2-2-22-2-22200000-22000002i−2i00−2i2i0000000000
χ2822-22-2-2-22-2-22200000-2200000−2i2i002i−2i0000000000
χ29444-4-4-44-44-44-40000000000000000000000000000
χ3044-44-4-4-4444-4-40000000000000000000000000000
χ3144-4-444-4-44-4-440000000000000000000000000000
χ3244-4-444-4-4-444-40000000000000000000000000000
χ334-4444-4-4-400004-400000000000000000000000000
χ344-4444-4-4-40000-4400000000000000000000000000
χ354-44-4-44-440000000000000000000000002i2−2i2000000
χ364-44-4-44-44000000000000000000000000−2i22i2000000
χ374-4-44-444-400000000000000000000002i2−2i200000000
χ384-4-44-444-40000000000000000000000−2i22i200000000
χ394-4-4-44-4440000004-4000000000000000000000000
χ404-4-4-44-444000000-44000000000000000000000000

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