Finite Group Databasebeta

← Group #32336

Character table — Group #32336

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444444444444444888888884444
χ11111111111111111111111111111111111111111
χ211111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111-1-1111-1-1111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111-1-1-1-11-1-11-1-111111111-1-1-1-1
χ511111111111111-1-1-1-111111-1-1-11111-1-111-1-1-1-11-1
χ611111111111111-1-1-1-111-1-11-1-1-1-1-1-1-111-1-111111-1
χ711111111111111-1-1-1-1-1-111111-111-1-111-1-111-1-1-11
χ811111111111111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-111-11
χ9111111111111-1-1111-11111-111-1-1-1-1-1-1-111111-1-1-1
χ10111111111111-1-1111-111-1-1-111-1111111-1-1-1-1-11-1-1
χ11111111111111-1-1111-1-1-111-1-1-1-1-1-11111-1-1-1-11-111
χ12111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1111
χ13111111111111-1-1-1-1-111111-1-1-11-1-1-1-11111-1-1-11-11
χ14111111111111-1-1-1-1-1111-1-1-1-1-111111-1-1-1-1111-1-11
χ15111111111111-1-1-1-1-11-1-111-1111-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-11-1-1-1-1-111111-1-11111-1-11-11-1
χ1722222222-2-2-2-22222-220000-200-200000000000000
χ1822222222-2-2-2-222-2-22-20000-200200000000000000
χ1922222222-2-2-2-2-2-222-2-20000200200000000000000
χ2022222222-2-2-2-2-2-2-2-2220000200-200000000000000
χ2122-22-2-2-22-22-22000000002i−2i02i−2i0000000002-20000
χ2222-22-2-2-22-22-22000000002i−2i0−2i2i000000000-220000
χ2322-22-2-2-22-22-2200000000−2i2i02i−2i000000000-220000
χ2422-22-2-2-22-22-2200000000−2i2i0−2i2i0000000002-20000
χ2522-2-222-2-2-2-2220000002-20000002i−2i2i−2i0000000000
χ2622-2-222-2-2-2-2220000002-2000000−2i2i−2i2i0000000000
χ2722-2-222-2-2-2-222000000-220000002i−2i−2i2i0000000000
χ2822-2-222-2-2-2-222000000-22000000−2i2i2i−2i0000000000
χ29444-4-4-44-44-4-440000000000000000000000000000
χ30444-4-4-44-4-444-40000000000000000000000000000
χ3144-44-4-4-444-44-40000000000000000000000000000
χ3244-4-444-4-444-4-40000000000000000000000000000
χ334-4444-4-4-4000000000000000000000022−2200000000
χ344-4444-4-4-40000000000000000000000−222200000000
χ354-44-4-44-440000000000000000000000002i2−2i2000000
χ364-44-4-44-44000000000000000000000000−2i22i2000000
χ374-4-44-444-400004i−4i00000000000000000000000000
χ384-4-44-444-40000−4i4i00000000000000000000000000
χ394-4-4-44-4440000004-4000000000000000000000000
χ404-4-4-44-444000000-44000000000000000000000000

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