Finite Group Databasebeta

← Group #486261

Character table — Group #486261

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444444444444442224444444448888888844
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111-1111-1-1-1111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111-1-1-11-1-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-1-1-111-1-111111-11-1-111-11-11111-1-1-1-1-1-1
χ6111111111111111-1-1-1-111-1-1111-1-1-11-1-1-1-1-11-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-11111-111-1-11111-1-11-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111111-1-1-1-111
χ91111111-1-11-1-1-1-1-111-1-111111111-1-1-11-11-11-1-111-1-111-1-11-1
χ101111111-1-11-1-1-1-1-111-1-11111111-11-1-11-1-111-1-1-1-111-1-111-11
χ111111111-1-11-1-1-1-1-111-1-1-1-1-1-111-11-1-11-111-1111-1-111-1-1111-1
χ121111111-1-11-1-1-1-1-111-1-1-1-1-1-111-1-11-11-11-1111111-1-111-1-1-11
χ131111111-1-11-1-1-1-1-1-1-11111-1-11111-11-1-111-1-1-1111-1-1-1-111-11
χ141111111-1-11-1-1-1-1-1-1-11111-1-1111-111-1-11-11-1-11-1-11111-1-11-1
χ151111111-1-11-1-1-1-1-1-1-111-1-11111-11-1111-11-1-11-1-1-11111-1-1-11
χ161111111-1-11-1-1-1-1-1-1-111-1-11111-1-11111-1-11-11-111-1-1-1-1111-1
χ172222222222-2-222-222220000-2-2000-200000-2000000000000
χ182222222222-2-222-2-2-2-2-20000-2-20002000002000000000000
χ192222222-2-2222-2-2222-2-20000-2-2000200000-2000000000000
χ202222222-2-2222-2-22-2-2220000-2-2000-2000002000000000000
χ21222222-222-222-2-2-200002200-22-2000-200000200000000000
χ22222222-222-222-2-2-20000-2-200-222000200000-200000000000
χ23222222-222-2-2-2-2-22000000222-200000-220000-20000000000
χ24222222-222-2-2-2-2-22000000-2-22-2000002-2000020000000000
χ25222222-2-2-2-22222-2000000222-200000-2-2000020000000000
χ26222222-2-2-2-22222-2000000-2-22-200000220000-20000000000
χ27222222-2-2-2-2-2-222200002200-22-2000200000-200000000000
χ28222222-2-2-2-2-2-22220000-2-200-222000-200000200000000000
χ292-2-22-22-22-22002-202-22-20000000000000000002−22−22−22−200
χ302-2-22-22-22-22002-202-22-2000000000000000000−22−22−22−2200
χ312-2-22-22-22-22002-20-22-220000000000000000002−22−2−22−2200
χ322-2-22-22-22-22002-20-22-22000000000000000000−22−222−22−200
χ332-2-22-22-2-22200-2202-2-220000000000000000002−2−222−2−2200
χ342-2-22-22-2-22200-2202-2-22000000000000000000−222−2−222−200
χ352-2-22-22-2-22200-220-222-20000000000000000002−2−22−222−200
χ362-2-22-22-2-22200-220-222-2000000000000000000−222−22−2−2200
χ374444-4-400004-400000000000000220000-2-20000000000000
χ384444-4-400004-400000000000000-2-20000220000000000000
χ394444-4-40000-44000000000000002-20000-220000000000000
χ404444-4-40000-4400000000000000-2200002-20000000000000
χ414-4-44-4444-4-400-44000000000000000000000000000000000
χ424-4-44-444-44-4004-4000000000000000000000000000000000
χ4388-8-80000000000000004-400000000000000000000000000
χ4488-8-8000000000000000-4400000000000000000000000000
χ458-88-8000000000000000004i−4i000000000000000000000000
χ468-88-800000000000000000−4i4i000000000000000000000000
χ478-8-888-800000000000000000000000000000000000000000

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