Finite Group Databasebeta

← Group #264767

Character table — Group #264767

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444448888888888816161616161616161616161616161616161616163232
order12222244444444488222244448882224444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-11111-11-11-1-11-1-1-1-111-1-1-1-1-1-111
χ41111111111111111111-1-111-1-11111-1-1-11-1-1-111-1-1-1-1111111-1-1
χ511111111111111111-1-111-1-111111-1-11-1-1-1-1111111111-1-1-1-1-1-1
χ611111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111-1-1-1-1-1-1-1-1111-1111-1111-1-1-1-111-1-11111-1-1
χ811111111111111111-1-1-1-1-1-1-1-1111-11-11-111-111-1-1-1-111-1-1-1-111
χ9111111111111111-1-11111-1-111-1-1-1-111-111-11-1-1-1-1-1-11111-1-11-1
χ10111111111111111-1-11111-1-111-1-1-1-11-1-111-1-111-1-111-1-1-1-111-11
χ11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1111111-1-1-1-1-1-1111-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-111111111-1-1-11
χ13111111111111111-1-1-1-1111111-1-1-11-111-1-111-1-1-1-1-1-111-1-111-11
χ14111111111111111-1-1-1-1111111-1-1-11-1-11-1-11-111-1-111-1-111-1-11-1
χ15111111111111111-1-1-1-1-1-111-1-1-1-1-1111-1-11-111111-1-1-1-111-1-1-11
χ16111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-11-1-1-1-1111111-1-1111-1
χ1722222222-2-222-2-2-222220022002-2-2-2000-200000000000000000
χ1822222222-2-222-2-2-222-2-200-2-2002-2-22000200000000000000000
χ1922222222-2-222-2-2-2-2-22200-2-200-2222000-200000000000000000
χ2022222222-2-222-2-2-2-2-2-2-2002200-222-2000200000000000000000
χ21222222-2-2-2-2-2-2-22200002-2002-20000020000-20000002-2000000
χ22222222-2-2-2-2-2-2-22200002-2002-200000-200002000000-22000000
χ23222222-2-2-2-2-2-2-2220000-2200-220000020000-2000000-22000000
χ24222222-2-2-2-2-2-2-2220000-2200-2200000-2000020000002-2000000
χ252222-2-222-2-2-2-222-200002200-2-2000000000002i−2i002i−2i00000000
χ262222-2-222-2-2-2-222-200002200-2-200000000000−2i2i00−2i2i00000000
χ272222-2-222-2-2-2-222-20000-2-20022000000000002i−2i00−2i2i00000000
χ282222-2-222-2-2-2-222-20000-2-2002200000000000−2i2i002i−2i00000000
χ292222-2-2-2-22222-22-222002-200-22-22-200000000002-20000000000
χ302222-2-2-2-22222-22-22200-22002-2-22-20000000000-220000000000
χ312222-2-2-2-22222-22-2-2-2002-200-222-220000000000-220000000000
χ322222-2-2-2-22222-22-2-2-200-22002-22-2200000000002-20000000000
χ332222-2-2-2-2-2-2222-222200000000-2-22020-20-22000000000000000
χ342222-2-2-2-2-2-2222-222200000000-2-220-20202-2000000000000000
χ352222-2-2-2-2-2-2222-22-2-20000000022-202020-2-2000000000000000
χ362222-2-2-2-2-2-2222-22-2-20000000022-20-20-2022000000000000000
χ37444444-4-444-4-44-4-400000000000000000000000000000000000
χ384444-4-44444-4-4-4-4400000000000000000000000000000000000
χ394-44-44-44-4004-400000000000000000000000000000000002i2−2i200
χ404-44-44-44-4004-40000000000000000000000000000000000−2i22i200
χ414-44-44-4-4400-440000000004i−4i000000000000000000000000000
χ424-44-44-4-4400-44000000000−4i4i000000000000000000000000000
χ434-44-4-444-400-44000004-40000000000000000000000000000000
χ444-44-4-444-400-4400000-440000000000000000000000000000000
χ454-44-4-44-44004-40000000000000000000000000000000022−220000
χ464-44-4-44-44004-400000000000000000000000000000000−22220000
χ4788-8-800008i−8i0000000000000000000000000000000000000000
χ4888-8-80000−8i8i0000000000000000000000000000000000000000
χ498-8-880000000000042−42000000000000000000000000000000000
χ508-8-8800000000000−4242000000000000000000000000000000000

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