Finite Group Databasebeta

← Group #250044

Character table — Group #250044

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12224444442444222444448888888822444444448888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11-111111-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1111-1-1-1111-1-1-1-1-1-111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-1-1-111-111111111-11-1-1-1-1-11-1-1111111-1-1-1-1
χ61111111111111111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-111-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1111-111-1-1111111-1-1
χ911111111111111-1-1111-1-1111-1-111111-1-1-11-1-1-1-1-11-111-1-1111-1
χ1011111111111111-1-1111-1-1111-1-1-1-1-1-111-1-11-1-11111-1-1-111-1-1-11
χ1111111111111111-1-1111-1-11-1-1111111-1-1-1-1-111-1-1-1-11-1-11111-11
χ1211111111111111-1-1111-1-11-1-111-1-1-1-1-11-1-1-111111-1111-1-1-1-11-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-111-1111-111-1-1-1-1-11
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1111-1-11-1-1-111111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-11111111-1111-1-1-111-11-1-111-1-11-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-1-1111-1-111-11
χ1722222222-2-2-2-2-2222000-2-20000022-2-20200000-2000000000000
χ1822222222-2-2-2-2-2222000-2-200000-2-2220-2000002000000000000
χ1922222222-2-2-2-2-22-2-2000220000022-2-20-2000002000000000000
χ2022222222-2-2-2-2-22-2-20002200000-2-2220200000-2000000000000
χ2122222-22-222-2-22-20022-200-2220000002000-200000-2000000000
χ2222222-22-222-2-22-20022-200-2-2-2000000-20002000002000000000
χ2322222-22-222-2-22-200-2-2200222000000-2000200000-2000000000
χ2422222-22-222-2-22-200-2-22002-2-20000002000-2000002000000000
χ252222-22-2222-22-2-2002-2200-200220000000002-20000-200000000
χ262222-22-2222-22-2-2002-2200-200-2-2000000000-220000200000000
χ272222-22-2222-22-2-200-22-20020022000000000-220000-200000000
χ282222-22-2222-22-2-200-22-200200-2-20000000002-20000200000000
χ292222-2-2-2-2222-2-222-22-2-22-2200000000002-20000000000000000
χ302222-2-2-2-2222-2-222-2-2222-2-20000000000-220000000000000000
χ312222-2-2-2-2222-2-22-222-2-2-2220000000000-220000000000000000
χ322222-2-2-2-2222-2-22-22-222-22-200000000002-20000000000000000
χ332222-2-2-2-2-2-2-22222-2000-22000000000000000002-20000002-200
χ342222-2-2-2-2-2-2-22222-2000-2200000000000000000-22000000-2200
χ352222-2-2-2-2-2-2-2222-220002-2000000000000000002-2000000-2200
χ362222-2-2-2-2-2-2-2222-220002-200000000000000000-220000002-200
χ3744444-44-4-4-444-4-4000000000000000000000000000000000000
χ384444-44-44-4-44-44-4000000000000000000000000000000000000
χ3944-4-440-400000000000000022−220022−22000000000000002-2000000
χ4044-4-440-400000000000000022−2200−222200000000000000-22000000
χ4144-4-440-4000000000000000−22220022−2200000000000000-22000000
χ4244-4-440-4000000000000000−222200−2222000000000000002-2000000
χ434-44-4040-4000000000000000022−22002i2−2i2000000000000002i−2i0000
χ444-44-4040-4000000000000000022−2200−2i22i200000000000000−2i2i0000
χ454-44-4040-40000000000000000−2222002i2−2i200000000000000−2i2i0000
χ464-44-4040-40000000000000000−222200−2i22i2000000000000002i−2i0000
χ4788-8-8-8080000000000000000000000000000000000000000000
χ488-88-80-808000000000000000000000000000000000000000000
χ498-8-8800008-80000000000000000000000000000000000000000
χ508-8-880000-880000000000000000000000000000000000000000

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