Finite Group Databasebeta

← Group #489863

Character table — Group #489863

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111224444444444448888888881616161616161616161616161616161632323232
order1222442444448888884444444482222448816161616161616164488
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-1
χ9111111-1-1-11-11-1-111111-11-111-1-1-11-11-11-11-111-1-111-1-11-11-1
χ10111111-1-1-11-11-1-111111-11-111-1-1-11-11-11-11-1-1-111-1-111-11-11
χ11111111-1-1-11-11-1-111111-11-1-1-111-1-11-11-111-111-1-111-1-1-11-11
χ12111111-1-1-11-11-1-111111-11-1-1-111-1-11-11-111-1-1-111-1-1111-11-1
χ13111111-1-1-11-11-1-11111-11-1111-1-1-11-1-11-11-1111-1-1-1-1111-1-11
χ14111111-1-1-11-11-1-11111-11-1111-1-1-11-1-11-11-11-1-11111-1-1-111-1
χ15111111-1-1-11-11-1-11111-11-11-1-111-1-111-11-1-1111-1-1-1-111-111-1
χ16111111-1-1-11-11-1-11111-11-11-1-111-1-111-11-1-11-1-11111-1-11-1-11
χ17222222222222-2-2-2-2-2-222220000-2000000-2-2000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-20000-200000022000000000000
χ192222222-22-2-2-22222-2-200002222-2-2-2000000000000000000
χ202222222-22-2-2-22222-2-20000-2-2-2-2-222000000000000000000
χ212222222-22-2-2-2-2-2-2-222000000002002-2-2200000000000000
χ222222222-22-2-2-2-2-2-2-22200000000200-222-200000000000000
χ23222222-22-2-22-222-2-22200000000-20022-2-200000000000000
χ24222222-22-2-22-222-2-22200000000-200-2-22200000000000000
χ25222222-22-2-22-2-2-222-2-2000022-2-22-22000000000000000000
χ26222222-22-2-22-2-2-222-2-20000-2-22222-2000000000000000000
χ27222222-2-2-22-2222-2-2-2-22-22-200002000000-22000000000000
χ28222222-2-2-22-2222-2-2-2-2-22-22000020000002-2000000000000
χ292222-2-222-2-2-220000002-2-2200000000000002−22−22−22−20000
χ302222-2-222-2-2-220000002-2-220000000000000−22−22−22−220000
χ312222-2-222-2-2-22000000-222-200000000000002−22−2−22−220000
χ322222-2-222-2-2-22000000-222-20000000000000−22−222−22−20000
χ332222-2-2-2-22-22200000022-2-200000000000002−2−222−2−220000
χ342222-2-2-2-22-22200000022-2-20000000000000−222−2−222−20000
χ352222-2-2-2-22-222000000-2-22200000000000002−2−22−222−20000
χ362222-2-2-2-22-222000000-2-2220000000000000−222−22−2−220000
χ374444-4-44-4-444-400000000000000000000000000000000000
χ384444-4-4-4444-4-400000000000000000000000000000000000
χ394-44-44-4000000004-4000000004i−4i000000000000000000000
χ404-44-44-4000000004-400000000−4i4i000000000000000000000
χ414-44-44-400000000-440000004i−4i00000000000000000000000
χ424-44-44-400000000-44000000−4i4i00000000000000000000000
χ4388-8-80000000042−42000000000000000000000000000000000
χ4488-8-800000000−4242000000000000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-8800000000000042−4200000000000000000000000000000
χ478-8-88000000000000−424200000000000000000000000000000

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