Finite Group Databasebeta

← Group #248809

Character table — Group #248809

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244224444424444444422222444444444444888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-1-1-1111-111-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-11-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111-1-11-1-111-11-1-111-11111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111-1-11-1-111-11-1-1-1-1-11-1-11-1-111111111-1-1
χ711111111111111111-1-11-1-1-1-1-1-11111-1-111-1111111-1-1-1-1-1-1
χ811111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111
χ911111111111-1-111-1-111-11111-1-1-1-111-1-1-1-111111-1-111-1-11-1
χ1011111111111-1-111-1-111-11111-1-1-1-1-1-1-1-111111-1-111-1-111-11
χ1111111111111-1-111-1-111-111-1-1-111111-11-1-1-1-1-1-1-11111-1-1-11
χ1211111111111-1-111-1-111-111-1-1-1111-1-1-1111-1-1-111-1-1-1-1111-1
χ1311111111111-1-111-1-1-1-1-1-1-1111-111111-1-1-11-1-1-1-111-1-1111-1
χ1411111111111-1-111-1-1-1-1-1-1-1111-111-1-11-1111-1-111-1-111-1-1-11
χ1511111111111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111-1-1-1-111-11
χ1611111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-11111-1-11-1
χ1722222222-2-2222-2-22-222-2-2-200-20000020000000000000000
χ1822222222-2-2222-2-22-2-2-2-22200200000-20000000000000000
χ1922222222-2-22-2-2-2-2-22222-2-200200000-20000000000000000
χ2022222222-2-22-2-2-2-2-22-2-222200-20000020000000000000000
χ21222222-2-222-222-2-2-2-20020000002-200000002-20000000000
χ22222222-2-222-222-2-2-2-2002000000-220000000-220000000000
χ23222222-2-222-2-2-2-2-22200-20000002-20000000-220000000000
χ24222222-2-222-2-2-2-2-22200-2000000-2200000002-20000000000
χ25222222-2-2-2-2-22222-2200-200220-200000200-2000000000000
χ26222222-2-2-2-2-22222-2200-200-2-20200000-2002000000000000
χ27222222-2-2-2-2-2-2-2222-200200220200000-200-2000000000000
χ28222222-2-2-2-2-2-2-2222-200200-2-20-2000002002000000000000
χ292222-2-2222-2-2002-2002-202-200000000002-20000000002-200
χ302222-2-2222-2-2002-2002-202-20000000000-22000000000-2200
χ312222-2-2222-2-2002-200-220-2200000000002-2000000000-2200
χ322222-2-2222-2-2002-200-220-220000000000-220000000002-200
χ332222-2-222-22-200-22002-20-220000002-2000000000002-20000
χ342222-2-222-22-200-22002-20-22000000-2200000000000-220000
χ352222-2-222-22-200-2200-2202-20000002-200000000000-220000
χ362222-2-222-22-200-2200-2202-2000000-22000000000002-20000
χ374444-4-4-4-44-4400-4400000000000000000000000000000000
χ384444-4-4-4-4-444004-400000000000000000000000000000000
χ3944-4-44-4000004i−4i0000000000000000000000002i−2i2-2000000
χ4044-4-44-4000004i−4i000000000000000000000000−2i2i-22000000
χ4144-4-44-400000−4i4i0000000000000000000000002i−2i-22000000
χ4244-4-44-400000−4i4i000000000000000000000000−2i2i2-2000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-80000000000000000004-400000000000000000000000
χ458-88-8000000000000000000-4400000000000000000000000
χ468-8-88008-8000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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