Finite Group Databasebeta

← Group #13026747

Character table — Group #13026747

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size112444445588810161616161616162020203232323232404040404040404040404040404080808080
order12222451044441044810102020202442020204040248888888888884888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111-1-1111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ411111111111111-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ51111111111-1-1111-111-1-11111-111-1-1-1-111-1-1111111-1-11-1-1-1
χ61111111111-1-1111-111-1-11111-111-1-1-1-1-1-111-1-1-1-1-1-1111-111
χ71111111111-1-111-1111-1-11111-1-1-111-1-111-1-1-1-1-1-111-1-1-1111
χ81111111111-1-111-1111-1-11111-1-1-111-1-1-1-1111111-1-111-11-1-1
χ911111111-1-1111-11111111-1-1-111111-1-1i−ii−iii−i−ii−ii−i-1-1i−i
χ1011111111-1-1111-11111111-1-1-111111-1-1−ii−ii−i−iii−ii−ii-1-1−ii
χ1111111111-1-1111-1-1-111111-1-1-11-1-1-1-1-1-1i−ii−i−i−iiii−ii−i11−ii
χ1211111111-1-1111-1-1-111111-1-1-11-1-1-1-1-1-1−ii−iiii−i−i−ii−ii11i−i
χ1311111111-1-1-1-11-11-111-1-11-1-1-1-111-1-111i−i−iiii−i−ii−i−ii-11−ii
χ1411111111-1-1-1-11-11-111-1-11-1-1-1-111-1-111−iii−i−i−iii−iii−i-11i−i
χ1511111111-1-1-1-11-1-1111-1-11-1-1-1-1-1-11111i−i−ii−i−iiii−i−ii1-1i−i
χ1611111111-1-1-1-11-1-1111-1-11-1-1-1-1-1-11111−iii−iii−i−i−iii−i1-1−ii
χ172222-2-222222-222002-222-2-2-22-200002-20000000000000000
χ182222-2-22222-2222002-2-2-2-2-2-2220000-220000000000000000
χ192222-2-222-2-22-22-2002-222-222-2-20000-220000000000000000
χ202222-2-222-2-2-222-2002-2-2-2-222-2200002-20000000000000000
χ21222-22-22222002200-2200-2-22-2000000022000000-2-2000000
χ22222-22-22222002200-2200-2-22-20000000-2-200000022000000
χ23222-22-222-2-2002-200-2200-22-2200000002i−2i000000−2i2i000000
χ24222-22-222-2-2002-200-2200-22-220000000−2i2i0000002i−2i000000
χ25222-2-222222002200-2-20022-2-200000000022000000-2-20000
χ26222-2-222222002200-2-20022-2-2000000000-2-2000000220000
χ27222-2-2222-2-2002-200-2-2002-2220000000002i−2i000000−2i2i0000
χ28222-2-2222-2-2002-200-2-2002-222000000000−2i2i0000002i−2i0000
χ29444444-1-10044-1044-1-1-1-1-1000-1-1-1-1-1000000000000000000
χ30444444-1-10044-10-4-4-1-1-1-1-1000-11111000000000000000000
χ31444444-1-100-4-4-104-4-1-111-10001-1-111000000000000000000
χ32444444-1-100-4-4-10-44-1-111-1000111-1-1000000000000000000
χ334444-4-4-1-1004-4-1000-11-1-110001i5−i5i5−i5000000000000000000
χ344444-4-4-1-1004-4-1000-11-1-110001−i5i5−i5i5000000000000000000
χ354444-4-4-1-100-44-1000-11111000-1i5−i5−i5i5000000000000000000
χ364444-4-4-1-100-44-1000-11111000-1−i5i5i5−i5000000000000000000
χ3744-4000444400-4-40000000000000000000002-22-200000000
χ3844-4000444400-4-4000000000000000000000-22-2200000000
χ3944-400044-4-400-440000000000000000000002i−2i−2i2i00000000
χ4044-400044-4-400-44000000000000000000000−2i2i2i−2i00000000
χ41888-88-8-2-20000-20002-200200000000000000000000000000
χ42888-8-88-2-20000-20002200-200000000000000000000000000
χ438-800008-88i−8i0000000000000000000000000000000000000
χ448-800008-8−8i8i0000000000000000000000000000000000000
χ451616-16000-4-4000040000000000000000000000000000000000
χ4616-160000-4400000000002i5−2i5000000000000000000000000000
χ4716-160000-440000000000−2i52i5000000000000000000000000000

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