Finite Group Databasebeta

← Group #330930

Character table — Group #330930

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444444888888888816161616161616161616161616161616161616163232
order12222244442244444422444444448888888888888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-11-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1
χ7111111111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ8111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ91111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-1111-1
χ111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-11
χ121111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-11
χ131111111111-1-1-1-11111-1-1-111-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-11
χ141111111111-1-1-1-11111-1-1-111-1-1-11111-1-111-1-111-1-1-1-11111-1-1-11
χ151111111111-1-1-1-11111-1-1-111-1-1-111-1-111-1-111-1-111-1-11111-1-11-1
χ161111111111-1-1-1-11111-1-1-111-1-1-111-1-1-1-1111111-1-111-1-1-1-1111-1
χ1722222222222222-2-2-2-222-222-2-2-2-2-20000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-222220000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2222-2-22-2-2220000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2222222-2-20000000000000000000000
χ21222222-2-2-2-222-2-222-2-200-20020000000000002i−2i2i−2i0000000000
χ22222222-2-2-2-222-2-222-2-200-2002000000000000−2i2i−2i2i0000000000
χ23222222-2-2-2-222-2-2-2-22200200-20000002i−2i2i−2i0000000000000000
χ24222222-2-2-2-222-2-2-2-22200200-2000000−2i2i−2i2i0000000000000000
χ25222222-2-2-2-2-2-22222-2-200200-20000000000002i−2i−2i2i0000000000
χ26222222-2-2-2-2-2-22222-2-200200-2000000000000−2i2i2i−2i0000000000
χ27222222-2-2-2-2-2-222-2-22200-20020000002i−2i−2i2i0000000000000000
χ28222222-2-2-2-2-2-222-2-22200-2002000000−2i2i2i−2i0000000000000000
χ292-22-2-222-22-22-22-200000000002i−2i2i−2i000000000000i2−i2i2−i22−22−200
χ302-22-2-222-22-22-22-200000000002i−2i2i−2i000000000000−i2i2−i2i2−22−2200
χ312-22-2-222-22-22-22-20000000000−2i2i−2i2i000000000000i2−i2i2−i2−22−2200
χ322-22-2-222-22-22-22-20000000000−2i2i−2i2i000000000000−i2i2−i2i22−22−200
χ332-22-2-222-22-2-22-2200000000002i−2i−2i2i000000000000i2−i2−i2i22−2−2200
χ342-22-2-222-22-2-22-2200000000002i−2i−2i2i000000000000−i2i2i2−i2−222−200
χ352-22-2-222-22-2-22-220000000000−2i2i2i−2i000000000000i2−i2−i2i2−222−200
χ362-22-2-222-22-2-22-220000000000−2i2i2i−2i000000000000−i2i2i2−i22−2−2200
χ374444-4-44-4-4400004-44-400000000000000000000000000000000
χ384444-4-44-4-440000-44-4400000000000000000000000000000000
χ394444-4-4-444-400004-4-4400000000000000000000000000000000
χ404444-4-4-444-40000-444-400000000000000000000000000000000
χ414-44-44-444-4-4000000004-4000000000000000000000000000000
χ424-44-44-444-4-400000000-44000000000000000000000000000000
χ434-44-44-4-4-444000000000004-4000000000000000000000000000
χ444-44-44-4-4-44400000000000-44000000000000000000000000000
χ454-44-4-44-44-444-4-44000000000000000000000000000000000000
χ464-44-4-44-44-44-444-4000000000000000000000000000000000000
χ4788-8-80000000000000000000000000000002i2−2i200000000000000
χ4888-8-8000000000000000000000000000000−2i22i200000000000000
χ498-8-8800000000000000000000000022−2200000000000000000000
χ508-8-88000000000000000000000000−222200000000000000000000

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