Finite Group Databasebeta

← Group #244739

Character table — Group #244739

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444488888888888888161616161616161616161616161616161616161632
order12224444442224444424444444448888244444444488888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111111
χ3111111111111111111111111-1-1-1-111-1-11111-111-1-1-1-1111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1111-1-1-111-11111-1-1-111-1-1-1-1-1
χ511111111111111-1-111-11-11-1111111111-11-1-1-1-11-1-1-111-1-11111-1-1-1
χ611111111111111-1-111-11-11-111111-1-1-1-1-1-1111-1-1111-1-111-1-111-1-1-1
χ711111111111111-1-111-11-11-11-1-1-1-111-1-1-11-1-11-11111-11-1-1-1-1-1-1111
χ811111111111111-1-111-11-11-11-1-1-1-1-1-111-1-111-1-1-1-1-1-11-11111-1-1111
χ91111111111-1-11111111-11-11-111111111-1-1-1-11-1-11-1-11111-1-1-1-111-1
χ101111111111-1-11111111-11-11-11111-1-1-1-1-1111-1-11-111-1-1-1-111-1-111-1
χ111111111111-1-11111111-11-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11111111-1-11
χ121111111111-1-11111111-11-11-1-1-1-1-1-1-111-11111-111-1-11-1-1-1-1-111-1-11
χ131111111111-1-111-1-111-1-1-1-1-1-1111111111-111-11-1-11111-1-1-1-1-1-1-1-11
χ141111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11
χ151111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-11111-11-1-1-11-1-1111111-1
χ161111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1111-111-1-11111-1
χ17222222-222-222-2-200-220-20-20200002200020000-20000-2000000000
χ18222222-222-222-2-200-220-20-2020000-2-2000-20000200002000000000
χ19222222-222-2-2-2-2-200-2202020-2000022000-2000020000-2000000000
χ20222222-222-2-2-2-2-200-2202020-20000-2-200020000-200002000000000
χ2122222-222-2200-2-2222-220-20-20000000220000-200200-20000000000
χ2222222-222-2200-2-2222-220-20-20000000-2-20000200-20020000000000
χ2322222-222-2200-2-2-2-22-2-202020000000220000200-200-20000000000
χ2422222-222-2200-2-2-2-22-2-202020000000-2-20000-20020020000000000
χ252222-222-22222-2222-2-2-2-2-222-200000000-200002000000000000000
χ262222-222-22222-22-2-2-2-22-222-2-20000000020000-2000000000000000
χ272222-222-222-2-2-2222-2-2-22-2-2220000000020000-2000000000000000
χ282222-222-222-2-2-22-2-2-2-2222-2-2200000000-200002000000000000000
χ292222-22-2-22-2222-2002-2020-20-200000000002-2000000002-20000000
χ302222-22-2-22-2222-2002-2020-20-20000000000-2200000000-220000000
χ312222-22-2-22-2-2-22-2002-20-2020200000000002-200000000-220000000
χ322222-22-2-22-2-2-22-2002-20-202020000000000-22000000002-20000000
χ332222-2-22-2-22002-222-22-2020-2000000000000000002-200002-200000
χ342222-2-22-2-22002-222-22-2020-200000000000000000-220000-2200000
χ352222-2-22-2-22002-2-2-2-2220-202000000000000000002-20000-2200000
χ362222-2-22-2-22002-2-2-2-2220-20200000000000000000-2200002-200000
χ3744444-4-44-4-4004400-4-400000000000000000000000000000000000
χ384444-4-4-4-4-4-400-44004400000000000000000000000000000000000
χ3944-4-40400-404-400000000000022-2-2000000000000000000002-2000
χ4044-4-40400-404-4000000000000-2-22200000000000000000000-22000
χ4144-4-40400-40-4400000000000022-2-200000000000000000000-22000
χ4244-4-40400-40-44000000000000-2-222000000000000000000002-2000
χ434-44-400-400400004i−4i000000002i−2i2i−2i00000000000000000000002-20
χ444-44-400-400400004i−4i00000000−2i2i−2i2i0000000000000000000000-220
χ454-44-400-40040000−4i4i000000002i−2i2i−2i0000000000000000000000-220
χ464-44-400-40040000−4i4i00000000−2i2i−2i2i00000000000000000000002-20
χ474-4-44400-400000000000000002i−2i−2i2i2i2−2i222−22000000000000000000000
χ484-4-44400-400000000000000002i−2i−2i2i−2i22i2−2222000000000000000000000
χ494-4-44400-40000000000000000−2i2i2i−2i2i2−2i2−2222000000000000000000000
χ504-4-44400-40000000000000000−2i2i2i−2i−2i22i222−22000000000000000000000
χ5188-8-80-800800000000000000000000000000000000000000000000
χ528-88-800800-80000000000000000000000000000000000000000000
χ538-8-88-8008000000000000000000000000000000000000000000000

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