Finite Group Databasebeta

← Group #268652

Character table — Group #268652

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444448888888888888888888161616161616161616161616161616163232
order12224444442224444444444444488888888244444888888888848
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111-1-1-1-111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-11111-1-1-1-1-1
χ511111111111111111-1-111-1-111111111-1-1-1-1-11-1-11-11-1-111-1-1111-1-1
χ611111111111111111-1-111-1-11111-1-1-1-111111-1-1-1-11-111-1-111-111-1-1
χ711111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-11-1-11-1-11-1-1-1111-1-111
χ811111111111111111-1-111-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-1111-1-1-1-1-111
χ91111111111-1-11111-111-1-111111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-11
χ101111111111-1-11111-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-11
χ111111111111-1-11111-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1
χ121111111111-1-11111-111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111-1
χ131111111111-1-11111-1-1-1-1-1-1-111111111-1-1-1-11-111-111-1-1-1-1111-1-11-1
χ141111111111-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-11111-1-11111-1-1-1-1-11-1
χ151111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-111-11-11-111-1-1111-11
χ161111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-11-11-1-111-111-11
χ17222222-222-200-2-2-2202200-2-200000022-2-200000000-220000000000
χ18222222-222-200-2-2-2202200-2-2000000-2-222000000002-20000000000
χ19222222-222-200-2-2-220-2-20022000000222200000000-2-20000000000
χ20222222-222-200-2-2-220-2-20022000000-2-2-2-200000000220000000000
χ2122222-222-2222-2-22-2200-2-20000000000002220000-200-2000000000
χ2222222-222-2222-2-22-2200-2-2000000000000-2-2-200002002000000000
χ2322222-222-22-2-2-2-22-2-2002200000000000022-20000200-2000000000
χ2422222-222-22-2-2-2-22-2-20022000000000000-2-220000-2002000000000
χ252222-222-22222-22-2-2-200-22000000220000000-200200000000-20000
χ262222-222-22222-22-2-2-200-22000000-2-20000000200-20000000020000
χ272222-222-222-2-2-22-2-22002-2000000220000000200-200000000-20000
χ282222-222-222-2-2-22-2-22002-2000000-2-20000000-20020000000020000
χ292222-2-22-2-22222-2-22-22-22-22-2000000000000002-200000000000000
χ302222-2-22-2-22222-2-22-2-222-2-2200000000000000-2200000000000000
χ312222-2-22-2-22-2-22-2-2222-2-222-200000000000000-2200000000000000
χ322222-2-22-2-22-2-22-2-222-22-22-22000000000000002-200000000000000
χ332222-2-2-2-2-2-200-222202-200-220000000000000000000002i−2i2i−2i00000
χ342222-2-2-2-2-2-200-222202-200-22000000000000000000000−2i2i−2i2i00000
χ352222-2-2-2-2-2-200-22220-22002-20000000000000000000002i−2i−2i2i00000
χ362222-2-2-2-2-2-200-22220-22002-2000000000000000000000−2i2i2i−2i00000
χ3744444-4-44-4-40044-4-40000000000000000000000000000000000000
χ384444-44-4-44-4004-44-40000000000000000000000000000000000000
χ3944-4-4400-400000000000000022-2-2000022−2222−22000000000000000000
χ4044-4-4400-400000000000000022-2-20000−2222−2222000000000000000000
χ4144-4-4400-4000000000000000-2-222000022−22−2222000000000000000000
χ4244-4-4400-4000000000000000-2-2220000−222222−22000000000000000000
χ434-44-400-40044-4000000000002i−2i2i−2i00000000000000000000002i−2i00
χ444-44-400-40044-400000000000−2i2i−2i2i0000000000000000000000−2i2i00
χ454-44-400-4004-44000000000002i−2i2i−2i0000000000000000000000−2i2i00
χ464-44-400-4004-4400000000000−2i2i−2i2i00000000000000000000002i−2i00
χ474-4-440400-4000000000000002i−2i−2i2i22−222i2−2i20000000000000000000000
χ484-4-440400-4000000000000002i−2i−2i2i−2222−2i22i20000000000000000000000
χ494-4-440400-400000000000000−2i2i2i−2i22−22−2i22i20000000000000000000000
χ504-4-440400-400000000000000−2i2i2i−2i−22222i2−2i20000000000000000000000
χ5188-8-8-8008000000000000000000000000000000000000000000000
χ528-88-800800-80000000000000000000000000000000000000000000
χ538-8-880-800800000000000000000000000000000000000000000000

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