Finite Group Databasebeta

← Group #32101

Character table — Group #32101

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444444444444444888888882444
χ11111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ3111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11
χ4111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ511111111111111-1-1-1-111-1-1-11111111-1-111-1-1-1-11-1
χ611111111111111-1-1-1-111-1-1-11-1-1-1-1-1-111-1-1111-111
χ711111111111111-1-1-1-1-1-111-111111-1-111-1-111-11-1-1
χ811111111111111-1-1-1-1-1-111-11-1-1-1-111-1-111-1-111-11
χ9111111111111-1-1111-11111-1-111-1-11111-1-1-1-1-1-1-11
χ10111111111111-1-1111-11111-1-1-1-111-1-1-1-111111-1-1-1
χ11111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1111
χ12111111111111-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ13111111111111-1-1-1-1-1111-1-11-111-1-111-1-1-1-11111-1-1
χ14111111111111-1-1-1-1-1111-1-11-1-1-111-1-11111-1-1-11-11
χ15111111111111-1-1-1-1-11-1-1111-111-1-1-1-11111-1-11-11-1
χ16111111111111-1-1-1-1-11-1-1111-1-1-11111-1-1-1-111-1-111
χ1722222222-2-2-2-22222-220000-2-20000000000000000
χ1822222222-2-2-2-222-2-22-200002-20000000000000000
χ1922222222-2-2-2-2-2-222-2-20000220000000000000000
χ2022222222-2-2-2-2-2-2-2-2220000-220000000000000000
χ21222-2-2-22-2-22-220000002-200002i−2i002i−2i0000000000
χ22222-2-2-22-2-22-220000002-20000−2i2i00−2i2i0000000000
χ23222-2-2-22-2-22-22000000-2200002i−2i00−2i2i0000000000
χ24222-2-2-22-2-22-22000000-220000−2i2i002i−2i0000000000
χ252-2-22-222-222-2-2000000002i−2i00002-20000002i−2i0000
χ262-2-22-222-222-2-2000000002i−2i0000-22000000−2i2i0000
χ272-2-22-222-222-2-200000000−2i2i00002-2000000−2i2i0000
χ282-2-22-222-222-2-200000000−2i2i0000-220000002i−2i0000
χ29444-4-4-44-44-44-40000000000000000000000000000
χ3044-444-4-4-400000000000000000000000022−22000000
χ3144-444-4-4-4000000000000000000000000−2222000000
χ3244-4-4-44-4400004i−4i00000000000000000000000000
χ3344-4-4-44-440000−4i4i00000000000000000000000000
χ344-444-4-4-440000004i−4i000000000000000000000000
χ354-444-4-4-44000000−4i4i000000000000000000000000
χ364-44-444-4-400000000000000000000002i2−2i200000000
χ374-44-444-4-40000000000000000000000−2i22i200000000
χ384-4-44-444-4-4-4440000000000000000000000000000
χ394-4-4-44-4444-4-440000000000000000000000000000
χ404-4-4-44-444-444-40000000000000000000000000000

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