Finite Group Databasebeta

← Group #330960

Character table — Group #330960

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444444888888888816161616161616161616161616161616161616163232
order12222244444444444424444444448888888888888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111-1-1-1-11-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1
χ61111111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111-1-1-1-11-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ91111111111-1-1-1-11111-111-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-11111-111-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-11
χ111111111111-1-1-1-11111-111-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1
χ121111111111-1-1-1-11111-111-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-11
χ131111111111-1-1-1-11111-1-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111-11
χ141111111111-1-1-1-11111-1-1-111-1-1-11111-1-1-1-111-1-111-1-11111-1-11-1
χ151111111111-1-1-1-11111-1-1-111-1-1-111-1-11111-1-111-1-1-1-11111-1-1-11
χ161111111111-1-1-1-11111-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1
χ1722222222222222-2-2-2-2-222-2-2-2-2-2220000000000000000000000
χ1822222222222222-2-2-2-2-2-2-222-222-2-20000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000
χ202222222222-2-2-2-2-2-2-2-22-2-2-2-2222220000000000000000000000
χ21222222-2-2-2-222-2-222-2-220000-20000002i−2i002i−2i00000000000000
χ22222222-2-2-2-222-2-222-2-220000-2000000−2i2i00−2i2i00000000000000
χ23222222-2-2-2-222-2-2-2-222-20000200002i−2i002i−2i0000000000000000
χ24222222-2-2-2-222-2-2-2-222-2000020000−2i2i00−2i2i0000000000000000
χ25222222-2-2-2-2-2-22222-2-2-2000020000002i−2i00−2i2i00000000000000
χ26222222-2-2-2-2-2-22222-2-2-200002000000−2i2i002i−2i00000000000000
χ27222222-2-2-2-2-2-222-2-22220000-200002i−2i00−2i2i0000000000000000
χ28222222-2-2-2-2-2-222-2-22220000-20000−2i2i002i−2i0000000000000000
χ292-2-222-22-22-22i−2i2i−2i000002i−2i000002-2000000000000i2−i22−22−2i2−i200
χ302-2-222-22-22-22i−2i2i−2i000002i−2i000002-2000000000000−i2i2−22−22−i2i200
χ312-2-222-22-22-22i−2i2i−2i00000−2i2i00000-22000000000000i2−i22−2−22−i2i200
χ322-2-222-22-22-22i−2i2i−2i00000−2i2i00000-22000000000000−i2i2−222−2i2−i200
χ332-2-222-22-22-2−2i2i−2i2i000002i−2i00000-22000000000000i2−i2−222−2−i2i200
χ342-2-222-22-22-2−2i2i−2i2i000002i−2i00000-22000000000000−i2i22−2−22i2−i200
χ352-2-222-22-22-2−2i2i−2i2i00000−2i2i000002-2000000000000i2−i2−22−22i2−i200
χ362-2-222-22-22-2−2i2i−2i2i00000−2i2i000002-2000000000000−i2i22−22−2−i2i200
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
χ414-4-444-4-44-444i−4i−4i4i000000000000000000000000000000000000
χ424-4-444-4-44-44−4i4i4i−4i000000000000000000000000000000000000
χ434-4-44-4444-4-4000000000004i−4i000000000000000000000000000
χ444-4-44-4444-4-400000000000−4i4i000000000000000000000000000
χ454-4-44-44-4-444000000000000004-4000000000000000000000000
χ464-4-44-44-4-44400000000000000-44000000000000000000000000
χ4788-8-8000000000000000000000000000000002i2−2i2000000000000
χ4888-8-800000000000000000000000000000000−2i22i2000000000000
χ498-88-800000000000000000000000000000000002i2−2i20000000000
χ508-88-80000000000000000000000000000000000−2i22i20000000000

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