Finite Group Databasebeta

← Group #486731

Character table — Group #486731

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112244444444444488888161616161616161616161616161616161616161616163232
order1222442444448888882244822222444444488161616161616161688
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ5111111111111111111-1-1-1-1111-111-111-1-111-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-11-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-11-1-11-1-11-1-111-1-1-1-11111-1-1-1-111
χ91111111-1-1-1-11-1-111111-11-1-11-1111-11-11-1-1-11-111-1-111-1-11-1
χ101111111-1-1-1-11-1-111111-11-1-11-11-1-1-11-11-1111-1-1-111-1-111-11
χ111111111-1-1-1-11-1-111111-11-1-1-11-1111-11-11-1-11-1-1-111-1-1111-1
χ121111111-1-1-1-11-1-111111-11-1-1-11-1-1-11-11-11111-111-1-111-1-1-11
χ131111111-1-1-1-11-1-11111-11-11-11-1-11111-1-11-1-1-1111-1-1-1-111-11
χ141111111-1-1-1-11-1-11111-11-11-11-1-1-1-111-1-1111-11-1-11111-1-11-1
χ151111111-1-1-1-11-1-11111-11-11-1-11111-1-111-1-1-1-11-1-11111-1-1-11
χ161111111-1-1-1-11-1-11111-11-11-1-111-1-1-1-111-111-1111-1-1-1-1111-1
χ17222222222222-2-2-2-2-2-22222-2000000000000-2-20000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2000000000000220000000000
χ192222222-2-2-2-2222-2-2-2-22-22-22000000000000-220000000000
χ202222222-2-2-2-2222-2-2-2-2-22-2220000000000002-20000000000
χ21222222-222-2-2-22222-2-20000-200200-200-2200000000000000
χ22222222-222-2-2-22222-2-20000-200-2002002-200000000000000
χ23222222-222-2-2-2-2-2-2-22200002220000-2-20000000000000000
χ24222222-222-2-2-2-2-2-2-22200002-2-20000220000000000000000
χ25222222-2-2-222-222-2-2220000-22-20000-220000000000000000
χ26222222-2-2-222-222-2-2220000-2-2200002-20000000000000000
χ27222222-2-2-222-2-2-222-2-20000200200200-2-200000000000000
χ28222222-2-2-222-2-2-222-2-20000200-200-2002200000000000000
χ292222-2-2-22-22-2200000022-2-20000000000000002−22−22−22−200
χ302222-2-2-22-22-2200000022-2-2000000000000000−22−22−22−2200
χ312222-2-2-22-22-22000000-2-2220000000000000002−22−2−22−2200
χ322222-2-2-22-22-22000000-2-222000000000000000−22−222−22−200
χ332222-2-2-2-22-2220000002-2-220000000000000002−2−222−2−2200
χ342222-2-2-2-22-2220000002-2-22000000000000000−222−2−222−200
χ352222-2-2-2-22-222000000-222-20000000000000002−2−22−222−200
χ362222-2-2-2-22-222000000-222-2000000000000000−222−22−2−2200
χ374444-4-444-4-44-400000000000000000000000000000000000
χ384444-4-44-444-4-400000000000000000000000000000000000
χ3944-4-44-40000004i−4i0000000000002-2000002i−2i000000000000
χ4044-4-44-40000004i−4i000000000000-2200000−2i2i000000000000
χ4144-4-44-4000000−4i4i0000000000002-200000−2i2i000000000000
χ4244-4-44-4000000−4i4i000000000000-22000002i−2i000000000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-8000000000042−420000000000000000000000000000000
χ458-88-80000000000−42420000000000000000000000000000000
χ468-8-8800000000000042−4200000000000000000000000000000
χ478-8-88000000000000−424200000000000000000000000000000

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