Finite Group Databasebeta

← Group #249782

Character table — Group #249782

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12224444442444222444448888888822222444448888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1111-1-1-1111-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111-1111-1-1-11-1-1-1-1-1-111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-1-111-1-111111111-1-1-1-1-11-1-1-11111111-1-1-1-1
χ61111111111111111-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111
χ71111111111111111-1-111-1-1-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1111111-1-1
χ911111111111111-1-111-1-11111-1-11111-1-11-1-1-1-11-1-11-111-1-1111-1
χ1011111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-1-11
χ1111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-11-11-1-11-1-11111-11
χ1211111111111111-1-111-1-111-1-111-1-1-1-1-1-1-11111-111-1111-1-1-1-11-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-1111111-111-11-11-11-111-1-1-1-1-11
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1111-1-1-111111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-11-1-111-1-11-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-11-11-1111-1-111-11
χ172222222-2-22-2-2-222200-2-200000022-2-2000002000-20000000000
χ182222222-2-22-2-2-222200-2-2000000-2-22200000-200020000000000
χ192222222-2-22-2-2-22-2-2002200000022-2-200000-200020000000000
χ202222222-2-22-2-2-22-2-20022000000-2-222000002000-20000000000
χ2122222-2222-2-2-22-2002200-2-22200000000-20000200-2000000000
χ2222222-2222-2-2-22-2002200-2-2-2-20000000020000-2002000000000
χ2322222-2222-2-2-22-200-2-20022220000000020000-200-2000000000
χ2422222-2222-2-2-22-200-2-20022-2-200000000-200002002000000000
χ252222-22-2222-22-2-2002-200-2200220000000000-20200-200000000
χ262222-22-2222-22-2-2002-200-2200-2-2000000000020-200200000000
χ272222-22-2222-22-2-200-22002-20022000000000020-200-200000000
χ282222-22-2222-22-2-200-22002-200-2-20000000000-20200200000000
χ292222-2-2-222-22-2-222-22-22-22-2000000002-2000000000000000000
χ302222-2-2-222-22-2-222-2-222-2-2200000000-22000000000000000000
χ312222-2-2-222-22-2-22-222-2-222-200000000-22000000000000000000
χ322222-2-2-222-22-2-22-22-22-22-22000000002-2000000000000000000
χ332222-2-2-2-2-2-2-22222-200-2200000000000002-2000000000002-200
χ342222-2-2-2-2-2-2-22222-200-220000000000000-2200000000000-2200
χ352222-2-2-2-2-2-2-2222-22002-200000000000002-200000000000-2200
χ362222-2-2-2-2-2-2-2222-22002-20000000000000-22000000000002-200
χ3744444-44-4-4-444-4-4000000000000000000000000000000000000
χ384444-44-4-4-444-44-4000000000000000000000000000000000000
χ3944-4-440-40000000000000002i2−2i20022−22000000000000002i−2i000000
χ4044-4-440-40000000000000002i2−2i200−222200000000000000−2i2i000000
χ4144-4-440-4000000000000000−2i22i20022−2200000000000000−2i2i000000
χ4244-4-440-4000000000000000−2i22i200−2222000000000000002i−2i000000
χ434-4-440-400040000000000000022−220022−22000000000000002-20000
χ444-4-440-400040000000000000022−2200−222200000000000000-220000
χ454-4-440-4000400000000000000−22220022−2200000000000000-220000
χ464-4-440-4000400000000000000−222200−2222000000000000002-20000
χ4788-8-8-8080000000000000000000000000000000000000000000
χ488-88-80008-800000000000000000000000000000000000000000
χ498-88-8000-8800000000000000000000000000000000000000000
χ508-8-8808000-80000000000000000000000000000000000000000

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