Finite Group Databasebeta

← Group #29949

Character table — Group #29949

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11111111222244448888888888888888888816161616
order1222222244444444244444444444888888884444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ9111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-11-1
χ10111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11-11
χ11111111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-11-11
χ12111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1111-11-1
χ13111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-11
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11-1-11
χ1722222222-2-2-2-222-2-22-200002-20000000000000000
χ1822222222-2-2-2-222-2-2-220000-220000000000000000
χ1922222222-2-2-2-2-2-2222-20000-220000000000000000
χ2022222222-2-2-2-2-2-222-2200002-20000000000000000
χ2122-2-222-2-22-22-22-22-200002i−2i00002i−2i000000000000
χ2222-2-222-2-22-22-22-22-20000−2i2i0000−2i2i000000000000
χ2322-2-222-2-22-22-2-22-2200002i−2i0000−2i2i000000000000
χ2422-2-222-2-22-22-2-22-220000−2i2i00002i−2i000000000000
χ2522-2-222-2-2-22-222-2-22002i−2i00002i−2i00000000000000
χ2622-2-222-2-2-22-222-2-2200−2i2i0000−2i2i00000000000000
χ2722-2-222-2-2-22-22-222-2002i−2i0000−2i2i00000000000000
χ2822-2-222-2-2-22-22-222-200−2i2i00002i−2i00000000000000
χ294444-4-4-4-44-4-440000000000000000000000000000
χ304444-4-4-4-4-444-40000000000000000000000000000
χ3144-4-4-4-44444-4-40000000000000000000000000000
χ3244-4-4-4-444-4-4440000000000000000000000000000
χ334-44-44-44-4000000000000000000000000002i2−2i20000
χ344-44-44-44-400000000000000000000000000−2i22i20000
χ354-44-4-44-44000000000000000000002i2−2i20000000000
χ364-44-4-44-4400000000000000000000−2i22i20000000000
χ374-4-444-4-440000000000000000000000002i2−2i2000000
χ384-4-444-4-44000000000000000000000000−2i22i2000000
χ394-4-44-444-400000000000000000000002i2−2i200000000
χ404-4-44-444-40000000000000000000000−2i22i200000000

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