Finite Group Databasebeta

← Group #284951

Character table — Group #284951

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888888888816161616161616161616161616323232
order12222244444444424444444888888888888884444448888888488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11111-1-1-1-1-1-11-1-1111-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-11
χ5111111111111111111-1-11-1-111-1-111-1-1111111-1-1-1-111-111-1-1-11-1-11
χ6111111111111111111-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1
χ7111111111111111111-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1111-1-1-1
χ8111111111111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111
χ9111111111111111-1-1-111-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11
χ10111111111111111-1-1-111-11111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-11-1
χ11111111111111111-1-1-111-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1
χ12111111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-111-1-111
χ13111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-11-1-11111-111
χ14111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111111111-11-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1111-1-11-1-11-11-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1-1-11-11
χ1722222222-222-2-2-2-222-222-2-2-200000000000000000000-2002000000
χ1822222222-222-2-2-2-222-2-2-2-22200000000000000000000200-2000000
χ1922222222-222-2-2-2-2-2-22222-2-200000000000000000000200-2000000
χ2022222222-222-2-2-2-2-2-22-2-222200000000000000000000-2002000000
χ21222222-2-2-2-2-2-2-22200000000002i−2i002i−2i000000002-20002i−2i0000000
χ22222222-2-2-2-2-2-2-22200000000002i−2i002i−2i00000000-22000−2i2i0000000
χ23222222-2-2-2-2-2-2-2220000000000−2i2i00−2i2i000000002-2000−2i2i0000000
χ24222222-2-2-2-2-2-2-2220000000000−2i2i00−2i2i00000000-220002i−2i0000000
χ252222-2-22-222-22-2-222-2200-2002200-2-2000022-2-20000000000000000
χ262222-2-22-222-22-2-222-2200-200-2-200220000-2-2220000000000000000
χ272222-2-22-222-22-2-22-22-2002002200-2-20000-2-2220000000000000000
χ282222-2-22-222-22-2-22-22-200200-2-20022000022-2-20000000000000000
χ292222-2-22-2-22-2-222-22-2-200200002i−2i00−2i2i00000000000000002i−2i0000
χ302222-2-22-2-22-2-222-22-2-20020000−2i2i002i−2i0000000000000000−2i2i0000
χ312222-2-22-2-22-2-222-2-22200-200002i−2i00−2i2i0000000000000000−2i2i0000
χ322222-2-22-2-22-2-222-2-22200-20000−2i2i002i−2i00000000000000002i−2i0000
χ332222-2-2-222-222-22-200000000002200-2-22200002-20000000000-2000
χ342222-2-2-222-222-22-200000000002200-2-2-2-20000-2200000000002000
χ352222-2-2-222-222-22-20000000000-2-20022220000-220000000000-2000
χ362222-2-2-222-222-22-20000000000-2-20022-2-200002-200000000002000
χ37444444-4-44-4-444-4-400000000000000000000000000000000000000
χ384444-4-4-44-4-44-44-4400000000000000000000000000000000000000
χ3944-4-40000400-4000000000000000000022−2222−220000002-20000000000
χ4044-4-40000400-4000000000000000000022−22−2222000000-220000000000
χ4144-4-40000400-40000000000000000000−222222−22000000-220000000000
χ4244-4-40000400-40000000000000000000−2222−22220000002-20000000000
χ434-44-44-44-40-4400000000000022−220022−22000000000000000000000000
χ444-44-44-44-40-44000000000000−222200−2222000000000000000000000000
χ454-44-44-4-4404-400000004-4000000000000000000000000000000000
χ464-44-44-4-4404-40000000-44000000000000000000000000000000000
χ474-44-4-44440-4-400000000000022−2200−2222000000000000000000000000
χ484-44-4-44440-4-4000000000000−22220022−22000000000000000000000000
χ494-44-4-44-4-404400000000004i−4i000000000000000000000000000000
χ504-44-4-44-4-40440000000000−4i4i000000000000000000000000000000
χ5188-8-80000-800800000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000000004-40000000000000000
χ538-8-880000000000000000000000000000000-440000000000000000

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