Finite Group Databasebeta

← Group #31379

Character table — Group #31379

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444222444444444888888884444
χ11111111111111111111111111111111111111111
χ2111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111-1-111-1-11-1-1-1-111111111-1-1-1-1
χ511111111111111-1-1111-1-111-1-1-11111-1-111-1-1-11-1-1
χ611111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-111-1111
χ711111111111111-1-11-1-1-1-111-11111-1-111-1-1111-1-1-1
χ811111111111111-1-11-1-1-1-1-1-1-111-1-111-1-111-1-11-111
χ9111111111111-1-111-1111-111-111-1-1-1-1-1-11111-1-11-1
χ10111111111111-1-111-1111-1-1-1-111111111-1-1-1-1-1-1-11
χ11111111111111-1-111-1-1-11-111-1-1-1-1-11111-1-1-1-1111-1
χ12111111111111-1-111-1-1-11-1-1-1-1-1-111-1-1-1-1111111-11
χ13111111111111-1-1-1-1-111-11111-1-1-1-1-1-11111-1-11-1-11
χ14111111111111-1-1-1-1-111-11-1-11-1-11111-1-1-1-1111-11-1
χ15111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11-11
χ16111111111111-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-111-1
χ1722222222-2-2-2-22222-200-2-20020000000000000000
χ1822222222-2-2-2-222-2-2-2002200-20000000000000000
χ1922222222-2-2-2-2-2-222200-2200-20000000000000000
χ2022222222-2-2-2-2-2-2-2-22002-20020000000000000000
χ212-22-22-22-222-2-2000002-2002i−2i0000000002i−2i000000
χ222-22-22-22-222-2-2000002-200−2i2i000000000−2i2i000000
χ232-22-22-22-222-2-200000-22002i−2i000000000−2i2i000000
χ242-22-22-22-222-2-200000-2200−2i2i0000000002i−2i000000
χ252-22-2-22-222-22-20000000000002i−2i2-2002i−2i00000000
χ262-22-2-22-222-22-20000000000002i−2i-2200−2i2i00000000
χ272-22-2-22-222-22-2000000000000−2i2i2-200−2i2i00000000
χ282-22-2-22-222-22-2000000000000−2i2i-22002i−2i00000000
χ294444-4-4-4-44-4-440000000000000000000000000000
χ304444-4-4-4-4-444-40000000000000000000000000000
χ3144-4-44-4-440000004i−4i000000000000000000000000
χ3244-4-44-4-44000000−4i4i000000000000000000000000
χ3344-4-4-444-400004i−4i00000000000000000000000000
χ3444-4-4-444-40000−4i4i00000000000000000000000000
χ354-44-44-44-4-4-4440000000000000000000000000000
χ364-44-4-44-44-44-440000000000000000000000000000
χ374-4-4444-4-4000000000000000000000000002i2−2i20000
χ384-4-4444-4-400000000000000000000000000−2i22i20000
χ394-4-44-4-4440000000000000000000022−220000000000
χ404-4-44-4-44400000000000000000000−22220000000000

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