Finite Group Databasebeta

← Group #248757

Character table — Group #248757

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244224444422244444422444444444444444888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-111-1-111-1-1-11111-1111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111-1-111-1-111-1-1-111-1-1-1-1-11-1-111111111-1-1
χ71111111111111111-1-111-1-1-1-111-1-1-111-111-1111111-1-1-1-1-1-1
χ81111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ91111111111-1-1111-111-1-11111-1-1-1-1-11-1-11-111111-1-111-1-11-1
χ101111111111-1-1111-111-1-11111-1-1-1-1-1-11-1-11111-1-111-1-111-11
χ111111111111-1-1111-111-1-111-1-111-1111-1-11-1-1-1-1-1-11111-1-1-11
χ121111111111-1-1111-111-1-111-1-111-111-11-1-11-1-1-111-1-1-1-1111-1
χ131111111111-1-1111-1-1-1-1-1-1-111111-1-11-111-11-1-1-1-111-1-1111-1
χ141111111111-1-1111-1-1-1-1-1-1-111111-1-1-111-111-1-111-1-111-1-1-11
χ151111111111-1-1111-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-111-11
χ161111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1111-111-11-111-1-11111-1-11-1
χ1722222222-2-2222-2-2-2222-2-2-2000020000-2000000000000000
χ1822222222-2-2222-2-2-2-2-22-2220000-200002000000000000000
χ1922222222-2-2-2-22-2-2222-22-2-20000-200002000000000000000
χ2022222222-2-2-2-22-2-22-2-2-2222000020000-2000000000000000
χ21222222-2-22222-2-2-2200-2-200002-20000000002-20000000000
χ22222222-2-22222-2-2-2200-2-20000-22000000000-220000000000
χ23222222-2-222-2-2-2-2-2-2002200002-2000000000-220000000000
χ24222222-2-222-2-2-2-2-2-200220000-220000000002-20000000000
χ25222222-2-2-2-222-222-200-220022000-2200000-2000000000000
χ26222222-2-2-2-222-222-200-2200-2-20002-2000002000000000000
χ27222222-2-2-2-2-2-2-2222002-200220002-200000-2000000000000
χ28222222-2-2-2-2-2-2-2222002-200-2-2000-22000002000000000000
χ292222-2-2222-200-22-202-2002-200000000200-20000000002-200
χ302222-2-2222-200-22-202-2002-200000000-2002000000000-2200
χ312222-2-2222-200-22-20-2200-2200000000200-2000000000-2200
χ322222-2-2222-200-22-20-2200-2200000000-20020000000002-200
χ332222-2-222-2200-2-2202-200-220000000200-2000000002-20000
χ342222-2-222-2200-2-2202-200-220000000-200200000000-220000
χ352222-2-222-2200-2-220-22002-20000000200-200000000-220000
χ362222-2-222-2200-2-220-22002-20000000-2002000000002-20000
χ374444-4-4-4-44-4004-4400000000000000000000000000000000
χ384444-4-4-4-4-440044-400000000000000000000000000000000
χ3944-4-4-4400004-400000000000000000000000002i−2i2i−2i000000
χ4044-4-4-4400004-40000000000000000000000000−2i2i−2i2i000000
χ4144-4-4-440000-4400000000000000000000000002i−2i−2i2i000000
χ4244-4-4-440000-440000000000000000000000000−2i2i2i−2i000000
χ4388-8-88-800000000000000000000000000000000000000000
χ448-88-80000000000000000004i−4i00000000000000000000000
χ458-88-8000000000000000000−4i4i00000000000000000000000
χ468-8-88008-8000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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