Finite Group Databasebeta

← Group #28129

Character table — Group #28129

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222244442244444422224444444444444488888888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1111-1-11-1-111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ711111111111111-1-111-1-1-1-111-111-11111-1-1-1-1-1-1-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ11111111111111-1-111-1-111-1-111-111-1-1-1-1-11111-1-1-1-111-1-111
χ12111111111111-1-111-1-111-1-1-1-1-111-1-1-11111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-111-1-1-1-111
χ1722222222-2-2-2-22222-2-2-2-20000-2002000000000000000000
χ1822222222-2-2-2-222-2-2-2-2220000200-2000000000000000000
χ1922222222-2-2-2-2-2-22222-2-20000200-2000000000000000000
χ2022222222-2-2-2-2-2-2-2-222220000-2002000000000000000000
χ2122-22-22-2-22-22-2002i−2i002i−2i00000000002-200002i−2i00000000
χ2222-22-22-2-22-22-2002i−2i002i−2i0000000000-220000−2i2i00000000
χ2322-22-22-2-22-22-200−2i2i00−2i2i00000000002-20000−2i2i00000000
χ2422-22-22-2-22-22-200−2i2i00−2i2i0000000000-2200002i−2i00000000
χ2522-22-22-2-2-22-22002i−2i00−2i2i002-200000000002i−2i0000000000
χ2622-22-22-2-2-22-22002i−2i00−2i2i00-220000000000−2i2i0000000000
χ2722-22-22-2-2-22-2200−2i2i002i−2i002-20000000000−2i2i0000000000
χ2822-22-22-2-2-22-2200−2i2i002i−2i00-2200000000002i−2i0000000000
χ292-22-2-22-2222-2-22-2002-200000002i−2i02i−2i0000000000000000
χ302-22-2-22-2222-2-22-2002-20000000−2i2i0−2i2i0000000000000000
χ312-22-2-22-2222-2-2-2200-2200000002i−2i0−2i2i0000000000000000
χ322-22-2-22-2222-2-2-2200-220000000−2i2i02i−2i0000000000000000
χ332-22-2-22-22-2-2222-200-22002-200000000002-2000000000000
χ342-22-2-22-22-2-2222-200-2200-220000000000-22000000000000
χ352-22-2-22-22-2-222-22002-2002-20000000000-22000000000000
χ362-22-2-22-22-2-222-22002-200-2200000000002-2000000000000
χ37444-44-4-4-400000000000000000000000000000022−22000000
χ38444-44-4-4-4000000000000000000000000000000−2222000000
χ3944-4-4-4-444000000000000000000000000000000000022−2200
χ4044-4-4-4-4440000000000000000000000000000000000−222200
χ414-444-4-44-4000000000000000000000000000000002i2−2i20000
χ424-444-4-44-400000000000000000000000000000000−2i22i20000
χ434-4-444-4-4400000000000000000000000000000000000022−22
χ444-4-444-4-44000000000000000000000000000000000000−2222
χ454-4-4-4444-44-4-440000000000000000000000000000000000
χ464-4-4-4444-4-444-40000000000000000000000000000000000

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