Finite Group Databasebeta

← Group #32655

Character table — Group #32655

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888222244444488884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ51111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-11-1
χ9111111111111-1-1-1-111-1-11111-1-1-1-111111-111-1-111-1-1-1-1-11
χ10111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1111-1
χ11111111111111-1-1-1-111-1-1-1-1-1-1111111-1-11-11111-1-111-1-11-1
χ12111111111111-1-1-1-111-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-11111-11
χ13111111111111-1-1-1-1-1-1111111-1-1-1-11111-11-1-111-1-1111-1-1-1
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1111
χ15111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-11-1-1-1-111-1-11-111
χ16111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-11111111-1-1-11-1-1
χ1722222222-2-2-2-222-2-22222000000000000-2-2000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200000000000022000000000000
χ1922222222-2-2-2-2-2-22222-2-2000000000000-22000000000000
χ2022222222-2-2-2-2-2-222-2-2220000000000002-2000000000000
χ212222-2-2-2-222-2-20000000022-2-200002-22-200000000000000
χ222222-2-2-2-222-2-20000000022-2-20000-22-2200000000000000
χ232222-2-2-2-222-2-200000000-2-22200002-2-2200000000000000
χ242222-2-2-2-222-2-200000000-2-2220000-222-200000000000000
χ2522-2-222-2-200002i−2i002i−2i2-22−22−2i2i2−i2−i20000000000i2−i22−20000
χ2622-2-222-2-200002i−2i002i−2i2-2−22−22−i2−i2i2i20000000000−i2i2−220000
χ2722-2-222-2-200002i−2i00−2i2i-222−22−2i2i2−i2−i20000000000−i2i2−220000
χ2822-2-222-2-200002i−2i00−2i2i-22−22−22−i2−i2i2i20000000000i2−i22−20000
χ2922-2-222-2-20000−2i2i002i−2i-222−22−2−i2−i2i2i20000000000i2−i2−220000
χ3022-2-222-2-20000−2i2i002i−2i-22−22−22i2i2−i2−i20000000000−i2i22−20000
χ3122-2-222-2-20000−2i2i00−2i2i2-22−22−2−i2−i2i2i20000000000−i2i22−20000
χ3222-2-222-2-20000−2i2i00−2i2i2-2−22−22i2i2−i2−i20000000000i2−i2−220000
χ332-2-222-2-222-22-20000000000002-22-20000002i−2i2i−2i00000000
χ342-2-222-2-222-22-20000000000002-22-2000000−2i2i−2i2i00000000
χ352-2-222-2-222-22-2000000000000-22-220000002i−2i−2i2i00000000
χ362-2-222-2-222-22-2000000000000-22-22000000−2i2i2i−2i00000000
χ374444-4-4-4-4-4-4440000000000000000000000000000000000
χ3844-4-4-4-44400000000000022−22−22220000000000000000000000
χ3944-4-4-4-444000000000000−222222−220000000000000000000000
χ404-44-44-44-400000000000000002i2−2i2−2i22i2000000000000000000
χ414-44-44-44-40000000000000000−2i22i22i2−2i2000000000000000000
χ424-44-4-44-440000004-4000000000000000000000000000000
χ434-44-4-44-44000000-44000000000000000000000000000000
χ444-4-444-4-44-44-440000000000000000000000000000000000
χ454-4-44-444-44-4-440000000000000000000000000000000000
χ464-4-44-444-4-444-40000000000000000000000000000000000

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