Finite Group Databasebeta

← Group #274052

Character table — Group #274052

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244488888888888888888888161616161616161616161616161616163232
order12222244444444422244444448888888888244448888888888828
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1
χ41111111111111111111111-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-111-1-111-111-1-1-1-1-1-1-1-111-1-11-111-1-11-1-1-1111-1
χ611111111111111111-111-1-111-1-1-1-1-1-1-1111111-1-11-1-1-111-111-1-1-1-11
χ711111111111111111-111-1-1-1-1-11111111111-1-1-1-1-1111-1-11-1-11-1-1-11
χ811111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1111111-1
χ9111111111111111-1-11-1-1111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1111-1-1-111
χ10111111111111111-1-11-1-111111-1-111-1-111111-1-1-1-111111-1-1-1-111-1-1
χ11111111111111111-1-11-1-111-1-1111-1-1111111-11-1-11-1-1-1-1-1111111-1-1
χ12111111111111111-1-11-1-111-1-11-1-1-1-111-1-1-1-1-11-1-11-11111-1-1-11-1-111
χ13111111111111111-1-1-1-1-1-1-111-111-1-11111111-111-1-1-1-1111-1-11-1-11-1
χ14111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11-111-1-111-1-1-111111-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1111-1-1-111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11111111-1-1-111-1-1-11-1
χ1722222222-2-222-2-2-2002002-222-200-2-2000000-200002000000000000
χ1822222222-2-222-2-2-2002002-2-2-2-2002200000020000-2000000000000
χ1922222222-2-222-2-2-200-200-222220022000000-20000-2000000000000
χ2022222222-2-222-2-2-200-200-22-2-2200-2-2000000200002000000000000
χ21222222-2-2-2-2-2-22-222-202-2000000000000000000000002i−2i02i−2i00000
χ22222222-2-2-2-2-2-22-222-202-200000000000000000000000−2i2i0−2i2i00000
χ23222222-2-2-2-2-2-22-22-220-22000000000000000000000002i−2i0−2i2i00000
χ24222222-2-2-2-2-2-22-22-220-2200000000000000000000000−2i2i02i−2i00000
χ252222-2-22-2222-2-2-22220-2-20000022000000000000002-200-20000000
χ262222-2-22-2222-2-2-22220-2-200000-2-200000000000000-220020000000
χ272222-2-22-2222-2-2-22-2-2022000002200000000000000-2200-20000000
χ282222-2-22-2222-2-2-22-2-202200000-2-2000000000000002-20020000000
χ292222-2-2-2222-222-2-200200-2200-200002200000-200200000000-20000
χ302222-2-2-2222-222-2-200200-2200-20000-2-200000200-20000000020000
χ312222-2-2-2222-222-2-200-2002-200200002200000200-200000000-20000
χ322222-2-2-2222-222-2-200-2002-20020000-2-200000-20020000000020000
χ332222-2-2-22-2-2-22-2222-22-22-2-20020000000000002-200000000000000
χ342222-2-2-22-2-2-22-2222-2-2-222200-2000000000000-2200000000000000
χ352222-2-2-22-2-2-22-222-2222-2-2-2002000000000000-2200000000000000
χ362222-2-2-22-2-2-22-222-22-22-22200-20000000000002-200000000000000
χ37444444-4-444-4-4-44-400000000000000000000000000000000000000
χ384444-4-44-4-4-44-444-400000000000000000000000000000000000000
χ3944-4-44-44400-4-4000000000000000000000000000000000000022−2200
χ4044-4-44-44400-4-40000000000000000000000000000000000000−222200
χ4144-4-44-4-4-400440000000000000004-4000000000000000000000000
χ4244-4-44-4-4-40044000000000000000-44000000000000000000000000
χ4344-4-4-444-400-4400000000004i−4i00000000000000000000000000000
χ4444-4-4-444-400-440000000000−4i4i00000000000000000000000000000
χ4544-4-4-44-44004-400000000000000000002i22i2−2i2−2i2000000000000000000
χ4644-4-4-44-44004-40000000000000000000−2i2−2i22i22i2000000000000000000
χ474-44-400004-400000000000000022−22002i2−2i22i−2i2i−2i000000000000000000
χ484-44-400004-400000000000000022−2200−2i22i2−2i2i−2i2i000000000000000000
χ494-44-400004-4000000000000000−2222002i2−2i2−2i2i−2i2i000000000000000000
χ504-44-400004-4000000000000000−222200−2i22i22i−2i2i−2i000000000000000000
χ518-88-80000-880000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000022−22−2222000000000000000000
χ538-8-88000000000000000000000000000−222222−22000000000000000000

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