Finite Group Databasebeta

← Group #27607

Character table — Group #27607

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222244442222444424444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ12111111111111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1722222222-2-2-2-22222-2-2-2-2-22000000000000000000000000
χ1822222222-2-2-2-222-2-2-2-2222-2000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-22-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-22222-22000000000000000000000000
χ2122-222-2-2-222-2-2002-2002-20000000000002i−2i002i−2i00000000
χ2222-222-2-2-222-2-2002-2002-2000000000000−2i2i00−2i2i00000000
χ2322-222-2-2-222-2-200-2200-220000000000002i−2i00−2i2i00000000
χ2422-222-2-2-222-2-200-2200-22000000000000−2i2i002i−2i00000000
χ2522-222-2-2-2-2-222002-200-2200000000002i−2i002i−2i0000000000
χ2622-222-2-2-2-2-222002-200-220000000000−2i2i00−2i2i0000000000
χ2722-222-2-2-2-2-22200-22002-200000000002i−2i00−2i2i0000000000
χ2822-222-2-2-2-2-22200-22002-20000000000−2i2i002i−2i0000000000
χ292-222-22-2-22-22-22-2002-2000000002i−2i2i−2i0000000000000000
χ302-222-22-2-22-22-22-2002-200000000−2i2i−2i2i0000000000000000
χ312-222-22-2-22-22-2-2200-22000000002i−2i−2i2i0000000000000000
χ322-222-22-2-22-22-2-2200-2200000000−2i2i2i−2i0000000000000000
χ332-222-22-2-2-22-222-200-2200002i−2i2i−2i00000000000000000000
χ342-222-22-2-2-22-222-200-220000−2i2i−2i2i00000000000000000000
χ352-222-22-2-2-22-22-22002-200002i−2i−2i2i00000000000000000000
χ362-222-22-2-2-22-22-22002-20000−2i2i2i−2i00000000000000000000
χ37444-4-4-44-400000000000000000000000000000000000022−22
χ38444-4-4-44-4000000000000000000000000000000000000−2222
χ3944-4-4-44-44000000000000000000000000000000002i2−2i20000
χ4044-4-4-44-4400000000000000000000000000000000−2i22i20000
χ414-44-44-4-4400000000000000000000000000000000002i2−2i200
χ424-44-44-4-440000000000000000000000000000000000−2i22i200
χ434-4-44-4-4444-4-440000000000000000000000000000000000
χ444-4-44-4-444-444-40000000000000000000000000000000000
χ454-4-4-4444-400000000000000000000000000000022−22000000
χ464-4-4-4444-4000000000000000000000000000000−2222000000

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