Finite Group Databasebeta

← Group #489804

Character table — Group #489804

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111224444444444448888888881616161616161616161616161616161632323232
order1222442444448888882244444484444448816161616161616164488
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-11111-1-11-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-11111-1-11-1-1-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1
χ9111111-11-1-1-11-1-111111-111-1-11-1-111-1-11-11-111-1-111-1-11-11-1
χ10111111-11-1-1-11-1-111111-111-1-11-1-111-1-11-11-1-1-111-1-111-11-11
χ11111111-11-1-1-11-1-111111-1-1-1111-1-1-1-111-111-111-1-111-1-1-11-11
χ12111111-11-1-1-11-1-111111-1-1-1111-1-1-1-111-111-1-1-111-1-1111-11-1
χ13111111-11-1-1-11-1-11111-1111-1-1-11-1-1-1111-1-1111-1-1-1-1111-1-11
χ14111111-11-1-1-11-1-11111-1111-1-1-11-1-1-1111-1-11-1-11111-1-1-111-1
χ15111111-11-1-1-11-1-11111-11-1-111-11-111-1-1-11-1111-1-1-1-111-111-1
χ16111111-11-1-1-11-1-11111-11-1-111-11-111-1-1-11-11-1-11111-1-11-1-11
χ17222222222222-2-2-2-2-2-222000022-2000000-2-2000000000000
χ18222222222222-2-2-2-2-2-2-2-20000-2-2-200000022000000000000
χ192222222-2-2-22-222-2-22200222200-20000-2-200000000000000
χ202222222-2-2-22-222-2-22200-2-2-2-200-200002200000000000000
χ212222222-2-2-22-2-2-222-2-20000000022-22-20000000000000000
χ222222222-2-2-22-2-2-222-2-2000000002-22-220000000000000000
χ23222222-22-2-2-2222-2-2-2-22-200002-22000000-22000000000000
χ24222222-22-2-2-2222-2-2-2-2-220000-2220000002-2000000000000
χ25222222-2-222-2-22222-2-200000000-22-2-220000000000000000
χ26222222-2-222-2-22222-2-200000000-2-222-20000000000000000
χ27222222-2-222-2-2-2-2-2-2220022-2-20020000-2200000000000000
χ28222222-2-222-2-2-2-2-2-22200-2-22200200002-200000000000000
χ292222-2-22-22-2-220000002-20000-220000000002−22−22−22−20000
χ302222-2-22-22-2-220000002-20000-22000000000−22−22−22−220000
χ312222-2-22-22-2-22000000-2200002-20000000002−22−2−22−220000
χ322222-2-22-22-2-22000000-2200002-2000000000−22−222−22−20000
χ332222-2-2-2-2-2222000000220000-2-20000000002−2−222−2−220000
χ342222-2-2-2-2-2222000000220000-2-2000000000−222−2−222−20000
χ352222-2-2-2-2-2222000000-2-20000220000000002−2−22−222−20000
χ362222-2-2-2-2-2222000000-2-2000022000000000−222−22−2−220000
χ374444-4-444-44-4-400000000000000000000000000000000000
χ384444-4-4-444-44-400000000000000000000000000000000000
χ394-4-44-4400000000004-400004i−4i00000000000000000000000
χ404-4-44-4400000000004-40000−4i4i00000000000000000000000
χ414-4-44-440000000000-44004i−4i0000000000000000000000000
χ424-4-44-440000000000-4400−4i4i0000000000000000000000000
χ4388-8-8000000000042−420000000000000000000000000000000
χ4488-8-80000000000−42420000000000000000000000000000000
χ458-88-80000000042−42000000000000000000000000000000000
χ468-88-800000000−4242000000000000000000000000000000000
χ478-8-888-800000000000000000000000000000000000000000

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