Finite Group Databasebeta

← Group #141521

Character table — Group #141521

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222444444444444488888888161616161616161616161616323232323232
order12222244222244444888844888888224444448888448888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ611111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-111
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111
χ811111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-1
χ91111111111-1-1-11-1-1-11111-11-1-111-1-11111ii−i−iii−i−i-1-1i−ii−i
χ101111111111-1-1-11-1-1-11111-11-1-111-1-11111−i−iii−i−iii-1-1−ii−ii
χ111111111111-1-1-11-1-1-11111-11-1-111-1-1-1-1-1-1ii−i−iii−i−i11−ii−ii
χ121111111111-1-1-11-1-1-11111-11-1-111-1-1-1-1-1-1−i−iii−i−iii11i−ii−i
χ131111111111-1-1-11-1-1-1-1-1-1-1-1111-1-11111-1-1ii−i−i−i−iii-11i−i−ii
χ141111111111-1-1-11-1-1-1-1-1-1-1-1111-1-11111-1-1−i−iiiii−i−i-11−iii−i
χ151111111111-1-1-11-1-1-1-1-1-1-1-1111-1-111-1-111ii−i−i−i−iii1-1−iii−i
χ161111111111-1-1-11-1-1-1-1-1-1-1-1111-1-111-1-111−i−iiiii−i−i1-1i−i−ii
χ1722222222-2-222-2222-22222-2-2-2-2-2-222000000000000000000
χ1822222222-2-222-2222-2-2-2-2-2-2-22222-2-2000000000000000000
χ1922222222-2-2-2-222-2-2222222-222-2-2-2-2000000000000000000
χ2022222222-2-2-2-222-2-22-2-2-2-22-2-2-22222000000000000000000
χ21222222-2-222222-2-2-220000-2-200000000002-22-20000000000
χ22222222-2-222222-2-2-220000-2-20000000000-22-220000000000
χ23222222-2-222-2-2-2-222-200002-200000000002i−2i−2i2i0000000000
χ24222222-2-222-2-2-2-222-200002-20000000000−2i2i2i−2i0000000000
χ25222222-2-2-2-222-2-2-2-2-2000022000000000000002i−2i2i−2i000000
χ26222222-2-2-2-222-2-2-2-2-200002200000000000000−2i2i−2i2i000000
χ27222222-2-2-2-2-2-22-22220000-22000000000000002-2-22000000
χ28222222-2-2-2-2-2-22-22220000-2200000000000000-222-2000000
χ294444-4-44400000-400044-4-400000000000000000000000000
χ304444-4-44400000-4000-4-44400000000000000000000000000
χ314444-4-4-4-400000400000000000004i−4i000000000000000000
χ324444-4-4-4-40000040000000000000−4i4i000000000000000000
χ3344-4-44-4000000004i−4i000000022−222i2−2i200000000000000000000
χ3444-4-44-4000000004i−4i0000000−2222−2i22i200000000000000000000
χ3544-4-44-400000000−4i4i000000022−22−2i22i200000000000000000000
χ3644-4-44-400000000−4i4i0000000−22222i2−2i200000000000000000000
χ3744-4-4-44004-44-44000-4000000000000000000000000000000
χ3844-4-4-44004-4-44-40004000000000000000000000000000000
χ3944-4-4-4400-444-4-40004000000000000000000000000000000
χ4044-4-4-4400-44-444000-4000000000000000000000000000000
χ414-4-4400-44000000000004-4000000002-22-200000000000000
χ424-4-4400-44000000000004-400000000-22-2200000000000000
χ434-4-4400-4400000000000-44000000002-2-2200000000000000
χ444-4-4400-4400000000000-4400000000-222-200000000000000
χ458-88-800000000000004i2−4i20000000000000000000000000000
χ468-88-80000000000000−4i24i20000000000000000000000000000
χ478-8-88008-8000000000000000000000000000000000000000

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