Finite Group Databasebeta

← Group #32607

Character table — Group #32607

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888224444444488882444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ511111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ611111111111111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-11-1-11
χ711111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-1
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-11
χ9111111111111-1-111-1-1-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-11
χ10111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1
χ11111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-11
χ12111111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1111-1-111-1-11-1
χ13111111111111-1-1-1-1-1-1111111-1-1-1-11111-1-11-111-1-1111-1-1-1
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1111
χ15111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1111-11111-1-1-11-1-1
χ16111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-1-1-111-1-11-111
χ1722222222-2-2-2-22222-2-22200000000000000-2-20000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200000000000000220000000000
χ1922222222-2-2-2-2-2-22222-2-2000000000000002-20000000000
χ2022222222-2-2-2-2-2-2-2-2222200000000000000-220000000000
χ21222-22-2-2-2-22-22000000002i2i−2i−2i00002-22i−2i00000000000000
χ22222-22-2-2-2-22-22000000002i2i−2i−2i0000-22−2i2i00000000000000
χ23222-22-2-2-2-22-2200000000−2i−2i2i2i00002-2−2i2i00000000000000
χ24222-22-2-2-2-22-2200000000−2i−2i2i2i0000-222i−2i00000000000000
χ2522-22-2-2-2200002i−2i2i−2i002-22−22−2i2i2−i2−i20000000000i2−i22−20000
χ2622-22-2-2-2200002i−2i2i−2i002-2−22−22−i2−i2i2i20000000000−i2i2−220000
χ2722-22-2-2-2200002i−2i−2i2i00-222−22−2i2i2−i2−i20000000000−i2i2−220000
χ2822-22-2-2-2200002i−2i−2i2i00-22−22−22−i2−i2i2i20000000000i2−i22−20000
χ2922-22-2-2-220000−2i2i2i−2i00-222−22−2−i2−i2i2i20000000000i2−i2−220000
χ3022-22-2-2-220000−2i2i2i−2i00-22−22−22i2i2−i2−i20000000000−i2i22−20000
χ3122-22-2-2-220000−2i2i−2i2i002-22−22−2−i2−i2i2i20000000000−i2i22−20000
χ3222-22-2-2-220000−2i2i−2i2i002-2−22−22i2i2−i2−i20000000000i2−i2−220000
χ332-2-222-22-222-2-20000000000002-22-200002i−2i002i−2i00000000
χ342-2-222-22-222-2-20000000000002-22-20000−2i2i00−2i2i00000000
χ352-2-222-22-222-2-2000000000000-22-2200002i−2i00−2i2i00000000
χ362-2-222-22-222-2-2000000000000-22-220000−2i2i002i−2i00000000
χ37444-44-4-4-44-44-40000000000000000000000000000000000
χ3844-4-4-444-40000000000002i2−2i2−2i22i20000000000000000000000
χ3944-4-4-444-4000000000000−2i22i22i2−2i20000000000000000000000
χ404-444-44-4-400000000000000002i2−2i2−2i22i2000000000000000000
χ414-444-44-4-40000000000000000−2i22i22i2−2i2000000000000000000
χ424-44-4-4-444000000004-40000000000000000000000000000
χ434-44-4-4-44400000000-440000000000000000000000000000
χ444-4-444-44-4-4-4440000000000000000000000000000000000
χ454-4-4-444-444-4-440000000000000000000000000000000000
χ464-4-4-444-44-444-40000000000000000000000000000000000

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