Finite Group Databasebeta

← Group #32280

Character table — Group #32280

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888444444444488884444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-111
χ511111111111111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1111
χ611111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1111-1-1-1
χ711111111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-1111111-1-1-11-1-1
χ811111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-111-1-11-111
χ9111111111111-1-11111-1-111111111-111-1-1-111-1-1-1-1-1-11-11-1
χ10111111111111-1-11111-1-111111111-1-1-1-111-1-111-1-1-1-1-11-11
χ11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111-1-11
χ12111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1
χ13111111111111-1-1-1-1-1-1111111-1-1-1-1111-111-1-11111-1-1-1-11-1
χ14111111111111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-111-1-111-1-111-11
χ15111111111111-1-1-1-1-1-111-1-1-1-11111111-11111-1-1-1-111-1-1-11
χ16111111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-111-1-111111-1
χ1722222222-2-2-2-22222-2-2-2-200000000200-200000000000000
χ1822222222-2-2-2-222-2-2222200000000-200-200000000000000
χ1922222222-2-2-2-2-2-222-2-22200000000-200200000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-200000000200200000000000000
χ2122-22-22-2-2-22-220000000022-2-2000000002i−2i002i−2i00000000
χ2222-22-22-2-2-22-220000000022-2-200000000−2i2i00−2i2i00000000
χ2322-22-22-2-2-22-2200000000-2-222000000002i−2i00−2i2i00000000
χ2422-22-22-2-2-22-2200000000-2-22200000000−2i2i002i−2i00000000
χ252-22-222-2-2-2-22200000000000022-2-202i−2i0002i−2i0000000000
χ262-22-222-2-2-2-22200000000000022-2-20−2i2i000−2i2i0000000000
χ272-22-222-2-2-2-222000000000000-2-22202i−2i000−2i2i0000000000
χ282-22-222-2-2-2-222000000000000-2-2220−2i2i0002i−2i0000000000
χ292-2-222-22-200002-2002-22-2i2−i2i2−i2i2−i2i2−i20000000000i2−i2i2−i20000
χ302-2-222-22-200002-2002-22-2−i2i2−i2i2−i2i2−i2i20000000000−i2i2−i2i20000
χ312-2-222-22-200002-200-22-22i2−i2i2−i2−i2i2−i2i20000000000−i2i2i2−i20000
χ322-2-222-22-200002-200-22-22−i2i2−i2i2i2−i2i2−i20000000000i2−i2−i2i20000
χ332-2-222-22-20000-22002-2-22i2−i2i2−i2i2−i2i2−i20000000000−i2i2−i2i20000
χ342-2-222-22-20000-22002-2-22−i2i2−i2i2−i2i2−i2i20000000000i2−i2i2−i20000
χ352-2-222-22-20000-2200-222-2i2−i2i2−i2−i2i2−i2i20000000000i2−i2−i2i20000
χ362-2-222-22-20000-2200-222-2−i2i2−i2i2i2−i2i2−i20000000000−i2i2i2−i20000
χ37444-4-4-44-40000004-4000000000000000000000000000000
χ38444-4-4-44-4000000-44000000000000000000000000000000
χ3944-44-44-4-44-44-40000000000000000000000000000000000
χ4044-4-44-4-4400000000000000002i2−2i2−2i22i2000000000000000000
χ4144-4-44-4-440000000000000000−2i22i22i2−2i2000000000000000000
χ424-444-4-4-440000000000002i2−2i2−2i22i20000000000000000000000
χ434-444-4-4-44000000000000−2i22i22i2−2i20000000000000000000000
χ444-44-444-4-444-4-40000000000000000000000000000000000
χ454-4-4-4-44444-4-440000000000000000000000000000000000
χ464-4-4-4-4444-444-40000000000000000000000000000000000

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