Finite Group Databasebeta

← Group #265200

Character table — Group #265200

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444448888888888816161616161616161616161616161616161616163232
order12222244444444488224444448882244444488888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-111-1111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111
χ41111111111111111111-1-111-1-11111-1-1-1-11-1-111-1-1-1-1111111-1-1
χ511111111111111111-1-111-1-111111-11-1-11-1-1-111111111-1-1-1-1-1-1
χ611111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111-1-1-1-1-1-1-1-1111-11111-111-1-1-1-111-1-11111-1-1
χ811111111111111111-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111
χ9111111111111111-1-11111-1-111-1-1-1-11-1-1111111-1-1-1-1-1-111-1-11-1
χ10111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-11
χ11111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-1111-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-11-1-1111111-1-111-1-1-11
χ13111111111111111-1-1-1-1111111-1-1-111111-1-1-111-1-1-1-1-1-1-1-111-11
χ14111111111111111-1-1-1-1111111-1-1-11-111-1-1-1-1-1-1-1-1111111-1-11-1
χ15111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-11-111-1-111-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1111-1
χ1722222222-2-222-2-2-2222200-2-200-2-2220000-20000000000000000
χ1822222222-2-222-2-2-222-2-2002200-2-22-2000020000000000000000
χ1922222222-2-222-2-2-2-2-22200220022-2-20000-20000000000000000
χ2022222222-2-222-2-2-2-2-2-2-200-2-20022-22000020000000000000000
χ21222222-2-222-2-22-2-200002200-2-20000000000000002i−2i2i−2i000000
χ22222222-2-222-2-22-2-200002200-2-2000000000000000−2i2i−2i2i000000
χ23222222-2-222-2-22-2-20000-2-200220000000000000002i−2i−2i2i000000
χ24222222-2-222-2-22-2-20000-2-20022000000000000000−2i2i2i−2i000000
χ252222-2-22-2222-2-2-2200002-2002-20000200-20002-2000000000000
χ262222-2-22-2222-2-2-2200002-2002-20000-2002000-22000000000000
χ272222-2-22-2222-2-2-220000-2200-220000200-2000-22000000000000
χ282222-2-22-2222-2-2-220000-2200-220000-20020002-2000000000000
χ292222-2-2-2222-22-22-222002-200-222-2-200000000002-20000000000
χ302222-2-2-2222-22-22-22200-22002-22-2-20000000000-220000000000
χ312222-2-2-2222-22-22-2-2-2002-200-22-2220000000000-220000000000
χ322222-2-2-2222-22-22-2-2-200-22002-2-22200000000002-20000000000
χ332222-2-2-22-2-2-222-222200000000-22-2002-2002-200000000000000
χ342222-2-2-22-2-2-222-222200000000-22-200-2200-2200000000000000
χ352222-2-2-22-2-2-222-22-2-2000000002-22002-200-2200000000000000
χ362222-2-2-22-2-2-222-22-2-2000000002-2200-22002-200000000000000
χ37444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ384444-4-44-4-4-44-444-400000000000000000000000000000000000
χ394-44-44-44400-4-4000000000000000000000000000000000022−2200
χ404-44-44-44400-4-40000000000000000000000000000000000−222200
χ414-44-44-4-4-40044000004-40000000000000000000000000000000
χ424-44-44-4-4-4004400000-440000000000000000000000000000000
χ434-44-4-444-400-440000000004i−4i000000000000000000000000000
χ444-44-4-444-400-44000000000−4i4i000000000000000000000000000
χ454-44-4-44-44004-4000000000000000000000000000000002i2−2i20000
χ464-44-4-44-44004-400000000000000000000000000000000−2i22i20000
χ4788-8-80000000000042−42000000000000000000000000000000000
χ4888-8-800000000000−4242000000000000000000000000000000000
χ498-8-8800008-80000000000000000000000000000000000000000
χ508-8-880000-880000000000000000000000000000000000000000

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