Finite Group Databasebeta

← Group #32265

Character table — Group #32265

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442222444488888888444444444488884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11
χ411111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1
χ511111111111111-1-111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1
χ611111111111111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111
χ711111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-11
χ9111111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1111111-1-1-1-1-11
χ10111111111111-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-111-1-1111-1
χ11111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1111-111
χ12111111111111-1-111-1-1-1-1-1-1-1-11111-1-11-1111111-1-111-11-1-1
χ13111111111111-1-1-1-1-1-1111111-1-1-1-111-111111-1-1-1-111-1-11-1
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-111-1-11111-11
χ15111111111111-1-1-1-1-1-111-1-1-1-1111111-1111-1-11111-1-11-1-1-1
χ16111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-11-1-111-1-111-1-1-1111
χ1722222222-2-2-2-22222-2-2-2-20000000000-2200000000000000
χ1822222222-2-2-2-222-2-2-2-22200000000002-200000000000000
χ1922222222-2-2-2-2-2-22222220000000000-2-200000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-200000000002200000000000000
χ2122-2-22-22-2-22-220000000022-2-200002i−2i00002i−2i0000000000
χ2222-2-22-22-2-22-220000000022-2-20000−2i2i0000−2i2i0000000000
χ2322-2-22-22-2-22-2200000000-2-22200002i−2i0000−2i2i0000000000
χ2422-2-22-22-2-22-2200000000-2-2220000−2i2i00002i−2i0000000000
χ252-2222-2-2-2-2-22200000000000022-2-200002i−2i002i−2i00000000
χ262-2222-2-2-2-2-22200000000000022-2-20000−2i2i00−2i2i00000000
χ272-2222-2-2-2-2-222000000000000-2-22200002i−2i00−2i2i00000000
χ282-2222-2-2-2-2-222000000000000-2-2220000−2i2i002i−2i00000000
χ292-22-2-222-20000002-22i−2i2i−2i2−22−2i2−i2i2−i200000000002−2i2−i20000
χ302-22-2-222-20000002-22i−2i2i−2i−22−22−i2i2−i2i20000000000−22−i2i20000
χ312-22-2-222-20000002-2−2i2i−2i2i2−22−2−i2i2−i2i200000000002−2−i2i20000
χ322-22-2-222-20000002-2−2i2i−2i2i−22−22i2−i2i2−i20000000000−22i2−i20000
χ332-22-2-222-2000000-222i−2i−2i2i2−22−2i2−i2i2−i20000000000−22−i2i20000
χ342-22-2-222-2000000-222i−2i−2i2i−22−22−i2i2−i2i200000000002−2i2−i20000
χ352-22-2-222-2000000-22−2i2i2i−2i2−22−2−i2i2−i2i20000000000−22i2−i20000
χ362-22-2-222-2000000-22−2i2i2i−2i−22−22i2−i2i2−i200000000002−2−i2i20000
χ37444-4-4-4-4400000000000000002i2−2i2−2i22i2000000000000000000
χ38444-4-4-4-440000000000000000−2i22i22i2−2i2000000000000000000
χ3944-44-44-4-400004-400000000000000000000000000000000
χ4044-44-44-4-40000-4400000000000000000000000000000000
χ4144-4-44-44-44-44-40000000000000000000000000000000000
χ424-4444-4-4-444-4-40000000000000000000000000000000000
χ434-4-44-4-44400000000000022−22−22220000000000000000000000
χ444-4-44-4-444000000000000−222222−220000000000000000000000
χ454-4-4-444-444-4-440000000000000000000000000000000000
χ464-4-4-444-44-444-40000000000000000000000000000000000

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