Finite Group Databasebeta

← Group #244521

Character table — Group #244521

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222222244442244444444888888882244444444444888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11-1111-11-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-11111-11-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111
χ511111111111111-11-11-11-1-1-1111111-1-1-11-1-1-1-1-11-111-1-1111-11-1
χ611111111111111-11-11-11-1-1-11111-1-111-1-1-1-1-11-1-11-1-11111-11-11
χ711111111111111-11-11-11-1-1-1-1-1-1-111-1-111111-1-11-1-1-111-1-11-1-11
χ811111111111111-11-11-11-1-1-1-1-1-1-1-1-1111-11111-1-1111-1-1-1-1-111-1
χ91111111111111-11-11-11-11-1-111-1-111111-11-1-1-1-1-1-1-1-1111-1111-1
χ101111111111111-11-11-11-11-1-111-1-1-1-1-1-1111-1-11-11111-1-11-1-1-1-11
χ111111111111111-11-11-11-11-1-1-1-1111111-1-1-111-1-1-1-111-1-1-1111-11
χ121111111111111-11-11-11-11-1-1-1-111-1-1-1-1-11-1111-111-1-111-11-1-11-1
χ131111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11111-11-1-1-1-11-11-111
χ141111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-111-111-111111-1-11-1-1
χ151111111111111-1-1-1-1-1-1-1-111-1-11111-1-11-11-1-111-111111-111-1-1-1
χ161111111111111-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-111-1-1-1-1-1-11-1111
χ1722222-22-2-22-22-202020-20-20000220000000-22000000000-20000
χ1822222-22-2-22-22-202020-20-20000-2-200000002-200000000020000
χ1922222-22-2-22-22-20-20-2020200002200000002-2000000000-20000
χ2022222-22-2-22-22-20-20-202020000-2-20000000-2200000000020000
χ2122222-22-2-2-22-222020-20-2000000022000200000-20000000-2000
χ2222222-22-2-2-22-222020-20-20000000-2-2000-200000200000002000
χ2322222-22-2-2-22-22-20-20202000000022000-20000020000000-2000
χ2422222-22-2-2-22-22-20-202020000000-2-2000200000-200000002000
χ252222-22-22-22-2-2220-20-2020000000002200000-20020000000-200
χ262222-22-22-22-2-2220-20-202000000000-2-200000200-20000000200
χ272222-22-22-22-2-22-202020-20000000002200000200-20000000-200
χ282222-22-22-22-2-22-202020-2000000000-2-200000-20020000000200
χ292222-22-22-2-222-2020-20-2020022000000-2020000000000-200000
χ302222-22-22-2-222-2020-20-20200-2-200000020-20000000000200000
χ312222-22-22-2-222-20-202020-2002200000020-20000000000-200000
χ322222-22-22-2-222-20-202020-200-2-2000000-2020000000000200000
χ332222-2-2-2-22-2-22222-2-222-2-2-2-2000000000000002000000000000
χ342222-2-2-2-22-2-2222-2-222-2-222200000000000000-2000000000000
χ352222-2-2-2-22-2-222-222-2-222-22200000000000000-2000000000000
χ362222-2-2-2-22-2-222-2-222-2-222-2-2000000000000002000000000000
χ37444444444-4-4-4-40000000000000000000000000000000000000
χ384444-4-4-4-4444-4-40000000000000000000000000000000000000
χ3944-4-4-4040000000000000000002i2−2i222−22000000000002i−2i00000000
χ4044-4-4-4040000000000000000002i2−2i2−222200000000000−2i2i00000000
χ4144-4-4-404000000000000000000−2i22i222−2200000000000−2i2i00000000
χ4244-4-4-404000000000000000000−2i22i2−2222000000000002i−2i00000000
χ434-4-44040-40000000000000002i2−2i2000022−22000000000002i−2i000000
χ444-4-44040-40000000000000002i2−2i20000−222200000000000−2i2i000000
χ454-4-44040-4000000000000000−2i22i2000022−2200000000000−2i2i000000
χ464-4-44040-4000000000000000−2i22i20000−2222000000000002i−2i000000
χ4788-8-880-80000000000000000000000000000000000000000000
χ488-88-8000000000000000004i−4i000000000000000000000000000
χ498-88-800000000000000000−4i4i000000000000000000000000000
χ508-8-880-808000000000000000000000000000000000000000000

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