Finite Group Databasebeta

← Group #72245418

Character table — Group #72245418

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1124444488888161616161616161616161616161616163232323232326464646464646464
order12224444244442224448888888888288888444416161616
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111-1-111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ611111111111111-1-111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii
χ711111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ811111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ91111-1-111-1-11-111111-1-11111-1-1-1-111-1-111-1-11-11-11-11-1
χ101111-1-111-1-11-111111-1-11111-1-1-1-111-1-111-1-1-11-11-11-11
χ111111-1-111-1-11-111111-1-1-1-1-1-1111111-1-1-1-1111-11-1-11-11
χ121111-1-111-1-11-111111-1-1-1-1-1-1111111-1-1-1-111-11-111-11-1
χ131111-1-111-1-11-111-1-11-1-11111-1-1-1-1-1-111-1-111i−i−iii−i−ii
χ141111-1-111-1-11-111-1-11-1-11111-1-1-1-1-1-111-1-111−iii−i−iii−i
χ151111-1-111-1-11-111-1-11-1-1-1-1-1-11111-1-11111-1-1i−i−ii−iii−i
χ161111-1-111-1-11-111-1-11-1-1-1-1-1-11111-1-11111-1-1−iii−ii−i−ii
χ172222222222222-222-2-2-200000000-2-22-2000000000000
χ182222222222222-2-2-2-2-2-20000000022-22000000000000
χ192222-2-222-2-22-22-222-22200000000-2-2-22000000000000
χ202222-2-222-2-22-22-2-2-2-22200000000222-2000000000000
χ21222-2002-20020-222-2-20000002i2i−2i−2i2-200002i−2i00000000
χ22222-2002-20020-222-2-2000000−2i−2i2i2i2-20000−2i2i00000000
χ23222-2002-20020-22-22-20000002i2i−2i−2i-220000−2i2i00000000
χ24222-2002-20020-22-22-2000000−2i−2i2i2i-2200002i−2i00000000
χ25222-2002-20020-2-22-22002i2i−2i−2i0000-22002i−2i0000000000
χ26222-2002-20020-2-22-2200−2i−2i2i2i0000-2200−2i2i0000000000
χ27222-2002-20020-2-2-222002i2i−2i−2i00002-200−2i2i0000000000
χ28222-2002-20020-2-2-22200−2i−2i2i2i00002-2002i−2i0000000000
χ29444400-4-44-40000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ30444400-4-44-4000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ31444400-4-4-440000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ32444400-4-4-44000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ3344444444-4-4-44-4000000000000000000000000000000
χ344444-4-44444-4-4-4000000000000000000000000000000
χ35444-4004-400-40400004-4000000000000000000000000
χ36444-4004-400-4040000-44000000000000000000000000
χ37444-444-44000-400000002-2-222-2-220000000000000000
χ38444-444-44000-40000000-222-2-222-20000000000000000
χ39444-4-4-4-44000400000002-2-22-222-20000000000000000
χ40444-4-4-4-4400040000000-222-22-2-220000000000000000
χ411616-160000000000000000000000000000000000000000
χ4216-16008-80000000000000000000000000000000000000
χ4316-1600-880000000000000000000000000000000000000

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