Finite Group Databasebeta

← Group #490356

Character table — Group #490356

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112244444444444488888161616161616161616161616161616161616161616163232
order1222442444448888884444822444444888888161616161616161622
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-111-11-111-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111-11-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-11-11-11-1-111-1-11111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-11-11-11-1-111-1-1-1-1-1-11111-1-1-1-111
χ9111111-1-11-1-11-1-1111111-1-1-1111-1-1-11-11-111-1-111-1-111-1-11-1
χ10111111-1-11-1-11-1-1111111-1-1-1111-1-1-11-11-1-1-111-1-111-1-111-11
χ11111111-1-11-1-11-1-1111111-1-1-1-1-1-1111-111-111-1-1-1-111-1-1111-1
χ12111111-1-11-1-11-1-1111111-1-1-1-1-1-1111-111-1-1-11111-1-111-1-1-11
χ13111111-1-11-1-11-1-11111-1-111-11-111-1-1-11-1111-1-111-1-1-1-111-11
χ14111111-1-11-1-11-1-11111-1-111-11-111-1-1-11-11-1-111-1-11111-1-11-1
χ15111111-1-11-1-11-1-11111-1-111-1-11-1-1111-1-1111-1-1-1-11111-1-1-11
χ16111111-1-11-1-11-1-11111-1-111-1-11-1-1111-1-11-1-11111-1-1-1-1111-1
χ17222222222222-2-2-2-2-2-22222-200000000-2-200000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2000000002200000000000000
χ1922222222-2-2-2-22222-2-20000-2020-200-220000000000000000
χ2022222222-2-2-2-22222-2-20000-20-202002-20000000000000000
χ2122222222-2-2-2-2-2-2-2-2220000220-202-2000000000000000000
χ2222222222-2-2-2-2-2-2-2-22200002-2020-22000000000000000000
χ23222222-2-22-2-2222-2-2-2-222-2-2200000000-2200000000000000
χ24222222-2-22-2-2222-2-2-2-2-2-2222000000002-200000000000000
χ25222222-2-2-222-222-2-2220000-220-20-22000000000000000000
χ26222222-2-2-222-222-2-2220000-2-20202-2000000000000000000
χ27222222-2-2-222-2-2-222-2-200002020200-2-20000000000000000
χ28222222-2-2-222-2-2-222-2-2000020-20-200220000000000000000
χ292222-2-22-2-22-220000002-22-20000000000000002−22−22−22−200
χ302222-2-22-2-22-220000002-22-2000000000000000−22−22−22−2200
χ312222-2-22-2-22-22000000-22-220000000000000002−22−2−22−2200
χ322222-2-22-2-22-22000000-22-22000000000000000−22−222−22−200
χ332222-2-2-22-2-2220000002-2-220000000000000002−2−222−2−2200
χ342222-2-2-22-2-2220000002-2-22000000000000000−222−2−222−200
χ352222-2-2-22-2-222000000-222-20000000000000002−2−22−222−200
χ362222-2-2-22-2-222000000-222-2000000000000000−222−22−2−2200
χ374444-4-44-44-44-400000000000000000000000000000000000
χ384444-4-4-4444-4-400000000000000000000000000000000000
χ3944-4-44-4000000004-400000000000000000002i2−2i20000000000
χ4044-4-44-4000000004-40000000000000000000−2i22i20000000000
χ4144-4-44-400000000-44000000000000000002i2−2i2000000000000
χ4244-4-44-400000000-4400000000000000000−2i22i2000000000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-800000000000042−4200000000000000000000000000000
χ458-88-8000000000000−424200000000000000000000000000000
χ468-8-880000000042−42000000000000000000000000000000000
χ478-8-8800000000−4242000000000000000000000000000000000

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