Finite Group Databasebeta

← Group #273985

Character table — Group #273985

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244488888888888888888888161616161616161616161616161616163232
order12222244444444424444444448888888888224448888888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1
χ31111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-11111-1-1111-1-1-1-1
χ41111111111111111111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-11111-1-11111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111-1-11111-1-1-1-111-1-111111-1-1-1-11-1-1-11-111111-1-1
χ711111111111111111-1-1-1-111-1-111-1-1111111-11-1-11-1111-11-1-1-111-1-1
χ811111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-11111-1-111
χ9111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-1111-1
χ10111111111111111-1-11111-1-111-1-1-1-1-1-1111111-1-11-1-111-1-1-111-1-1-11
χ11111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-111-1-1111-1-1-1-1-11
χ12111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-111111-1
χ13111111111111111-1-1-1-111-1-1-1-111-1-11111111-111-1-11-1-1-11-111-1-11-1
χ14111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-111-11-111-111-1-111-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-11-1-11-1-11111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111111-1111-11-1-1-1-11-1
χ17222222-222-222-2-2-22-200222-2000022000000-200000000-200000000
χ18222222-222-222-2-2-22-200-2-22-20000-2-2000000200000000200000000
χ19222222-222-222-2-2-2-220022-220000-2-2000000-200000000200000000
χ20222222-222-222-2-2-2-2200-2-2-22000022000000200000000-200000000
χ21222222-2-2-2-2-2-22-22002-200002-2000000000000000002i−2i0002i−2i0000
χ22222222-2-2-2-2-2-22-22002-200002-200000000000000000−2i2i000−2i2i0000
χ23222222-2-2-2-2-2-22-2200-220000-22000000000000000002i−2i000−2i2i0000
χ24222222-2-2-2-2-2-22-2200-220000-2200000000000000000−2i2i0002i−2i0000
χ252222-2-22222-2-2-2-2200220000-2-22200000000000002-20000-2000000
χ262222-2-22222-2-2-2-2200220000-2-2-2-20000000000000-2200002000000
χ272222-2-22222-2-2-2-2200-2-2000022220000000000000-2-200002000000
χ282222-2-22222-2-2-2-2200-2-2000022-2-20000000000000220000-2000000
χ292222-2-22-2-22222-2-2220000-2-20000002200000-200200000-20000000
χ302222-2-22-2-22222-2-2220000-2-2000000-2-200000200-20000020000000
χ312222-2-22-2-22222-2-2-2-20000220000002200000200-200000-20000000
χ322222-2-22-2-22222-2-2-2-2000022000000-2-200000-20020000020000000
χ332222-2-2-2-2-2-222-2222-22-200-22-220000000000002-200000000000000
χ342222-2-2-2-2-2-222-2222-2-2200-222-2000000000000-2200000000000000
χ352222-2-2-2-2-2-222-222-222-2002-2-22000000000000-2200000000000000
χ362222-2-2-2-2-2-222-222-22-22002-22-20000000000002-200000000000000
χ374444444-4-44-4-4-44-400000000000000000000000000000000000000
χ384444-4-4-444-4-4-444-400000000000000000000000000000000000000
χ3944-4-400-40040000000000000002i2−2i2002i2−2i222-2-2000000000000000000
χ4044-4-400-40040000000000000002i2−2i200−2i22i2-2-222000000000000000000
χ4144-4-400-4004000000000000000−2i22i2002i2−2i2-2-222000000000000000000
χ4244-4-400-4004000000000000000−2i22i200−2i22i222-2-2000000000000000000
χ434-44-44-404-404-400000000000000000002i2−2i22i2−2i2000000000000000000
χ444-44-44-404-404-40000000000000000000−2i22i2−2i22i2000000000000000000
χ454-44-44-40-440-4400000004i−4i00000000000000000000000000000000
χ464-44-44-40-440-440000000−4i4i00000000000000000000000000000000
χ474-44-4-4404-40-440000000000000004i−4i000000000000000000000000
χ484-44-4-4404-40-44000000000000000−4i4i000000000000000000000000
χ494-44-4-440-4404-400000000000000000000000000000000000002i2−2i200
χ504-44-4-440-4404-40000000000000000000000000000000000000−2i22i200
χ5188-8-800800-80000000000000000000000000000000000000000000
χ528-8-880000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ538-8-88000000000000000000000000000−2i22i22i2−2i2000000000000000000

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