Finite Group Databasebeta

← Group #13014512

Character table — Group #13014512

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1124445588881016161616161616203232323232404040404040408080808080808080
order12245102224410244101020202042020202020244888844448888
χ111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-111-1-1-1-1
χ31111111111111-1-11111111-1-1-1-1111111111-1-1-1-1-1-1
χ41111111111111-1-11111111-1-1-1-1111-1-1-1-1-1-1-1-11111
χ511111111-1-1111i−i-1-11111-1ii−i−i-11-11111-1-1i−iii−i−i
χ611111111-1-1111i−i-1-11111-1ii−i−i-11-1-1-1-1-111i−i−i−iii
χ711111111-1-1111−ii-1-11111-1−i−iii-11-11111-1-1−ii−i−iii
χ811111111-1-1111−ii-1-11111-1−i−iii-11-1-1-1-1-111−iiii−i−i
χ9111111-1-11111-11111111-111111-1-1-1ii−i−ii−i-1-1i−ii−i
χ10111111-1-11111-11111111-111111-1-1-1−i−iii−ii-1-1−ii−ii
χ11111111-1-11111-1-1-111111-11-1-1-1-1-1-1-1ii−i−ii−i11−ii−ii
χ12111111-1-11111-1-1-111111-11-1-1-1-1-1-1-1−i−iii−ii11i−ii−i
χ13111111-1-1-1-111-1i−i-1-1111-1-1ii−i−i1-11ii−i−i−ii−ii-111-1
χ14111111-1-1-1-111-1i−i-1-1111-1-1ii−i−i1-11−i−iiii−i−ii1-1-11
χ15111111-1-1-1-111-1−ii-1-1111-1-1−i−iii1-11ii−i−i−iii−i1-1-11
χ16111111-1-1-1-111-1−ii-1-1111-1-1−i−iii1-11−i−iiii−ii−i-111-1
χ17222222222-2-22200222-2-22-200002-2-2000000000000
χ1822222222-22-22200-2-22-2-2220000-2-22000000000000
χ19222222-2-22-2-22-200222-2-2-2-20000-222000000000000
χ20222222-2-2-22-22-200-2-22-2-2-22000022-2000000000000
χ214444-1-100444-1044-1-1-1-1-10-1-1-1-1-1000000000000000
χ224444-1-100444-10-4-4-1-1-1-1-10-11111000000000000000
χ234444-1-1004-4-4-1000-1-1-111015−55−5000000000000000
χ244444-1-1004-4-4-1000-1-1-11101−55−55000000000000000
χ254444-1-100-44-4-100011-1110-1i5−i5−i5i5000000000000000
χ264444-1-100-44-4-100011-1110-1−i5i5i5−i5000000000000000
χ274444-1-100-4-44-104i−4i11-1-1-101−i−iii000000000000000
χ284444-1-100-4-44-10−4i4i11-1-1-101ii−i−i000000000000000
χ29444-44444000440000-400-400000000000000000000
χ30444-444-4-40004-40000-400400000000000000000000
χ3144-404444000-4-400000000000000002-22-200000000
χ3244-404444000-4-40000000000000000-22-2200000000
χ3344-4044-4-4000-4400000000000000002i−2i−2i2i00000000
χ3444-4044-4-4000-440000000000000000−2i2i2i−2i00000000
χ35888-8-2-200000-200025−25200000000000000000000000
χ36888-8-2-200000-2000−2525200000000000000000000000
χ378-8008-88-8000000000000000000000000000000000
χ388-8008-8-88000000000000000000000000000000000
χ391616-160-4-400000400000000000000000000000000000
χ4016-1600-440000000000002i5−2i5000000000000000000000
χ4116-1600-44000000000000−2i52i5000000000000000000000

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