Finite Group Databasebeta

← Group #13014444

Character table — Group #13014444

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size112444445588810161616161616162020203232323232404040404040404040404040404080808080
order12244451022241024410102020204442020202020244444888888884488
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ411111111111111-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ511111111-1-1111-11111111-1-1-111111-1-1ii−i−iiiii−i−i−i−i-1-1i−i
χ611111111-1-1111-11111111-1-1-111111-1-1−i−iii−i−i−i−iiiii-1-1−ii
χ711111111-1-1111-1-1-111111-1-1-11-1-1-1-1-1-1ii−i−i−i−i−i−iiiii11i−i
χ811111111-1-1111-1-1-111111-1-1-11-1-1-1-1-1-1−i−iiiiiii−i−i−i−i11−ii
χ91111-1-11111-1111i−i-1-11-1-11-1-11ii−i−i-111111ii−i−iii−i−ii−i-1-1
χ101111-1-11111-1111i−i-1-11-1-11-1-11ii−i−i-11-1-1-1-1−i−iii−i−iiii−i11
χ111111-1-11111-1111−ii-1-11-1-11-1-11−i−iii-111111−i−iii−i−iii−ii-1-1
χ121111-1-11111-1111−ii-1-11-1-11-1-11−i−iii-11-1-1-1-1ii−i−iii−i−i−ii11
χ131111-1-111-1-1-111-1i−i-1-11-1-1-1111ii−i−i1-1ii−i−i-1-11111-1-1−ii−ii
χ141111-1-111-1-1-111-1i−i-1-11-1-1-1111ii−i−i1-1−i−iii11-1-1-1-111−iii−i
χ151111-1-111-1-1-111-1−ii-1-11-1-1-1111−i−iii1-1ii−i−i11-1-1-1-111i−i−ii
χ161111-1-111-1-1-111-1−ii-1-11-1-1-1111−i−iii1-1−i−iii-1-11111-1-1i−ii−i
χ172222222222-2-22200-2-2222222-20000-2-20000000000000000
χ1822222222-2-2-2-22-200-2-2222-2-2-2-20000220000000000000000
χ192222-2-222222-22200222-2-22-2-2-200002-20000000000000000
χ202222-2-222-2-22-22-200222-2-2-222-20000-220000000000000000
χ21444444-1-10044-1044-1-1-1-1-1000-1-1-1-1-1000000000000000000
χ22444444-1-10044-10-4-4-1-1-1-1-1000-11111000000000000000000
χ23444444-1-100-4-4-100011-1-1-10001i5−i5i5−i5000000000000000000
χ24444444-1-100-4-4-100011-1-1-10001−i5i5−i5i5000000000000000000
χ254444-4-4-1-1004-4-1000-1-1-11100015−5−55000000000000000000
χ264444-4-4-1-1004-4-1000-1-1-1110001−555−5000000000000000000
χ274444-4-4-1-100-44-104i−4i11-111000-1−i−iii000000000000000000
χ284444-4-4-1-100-44-10−4i4i11-111000-1ii−i−i000000000000000000
χ29444-400444400440000-400-40000000000000000000000000
χ30444-40044-4-4004-40000-40040000000000000000000000000
χ3144-4000444400-4-4000000000000000002-22-2000000000000
χ3244-4000444400-4-400000000000000000-22-22000000000000
χ3344-400044-4-400-44000000000000000002i−2i−2i2i000000000000
χ3444-400044-4-400-4400000000000000000−2i2i2i−2i000000000000
χ354-4002i−2i4-44-40000000002i−2i02i−2i000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ364-4002i−2i4-44-40000000002i−2i02i−2i00000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ374-4002i−2i4-4-440000000002i−2i0−2i2i000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000
χ384-4002i−2i4-4-440000000002i−2i0−2i2i00000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000
χ394-400−2i2i4-44-4000000000−2i2i0−2i2i000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ404-400−2i2i4-44-4000000000−2i2i0−2i2i00000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ414-400−2i2i4-4-44000000000−2i2i02i−2i000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000
χ424-400−2i2i4-4-44000000000−2i2i02i−2i00000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000
χ43888-800-2-20000-200025−2520000000000000000000000000000
χ44888-800-2-20000-2000−252520000000000000000000000000000
χ451616-16000-4-4000040000000000000000000000000000000000
χ4616-16008i−8i-4400000000000−2i2i00000000000000000000000000
χ4716-1600−8i8i-44000000000002i−2i00000000000000000000000000

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