Finite Group Databasebeta

← Group #245993

Character table — Group #245993

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222244444444224444444442444444444448888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-11-11-1111-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-11-111-1-11-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-1-1-1-1-1111111-11-11-11-11-11111-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111-11-1-1-1-11-1-1-11-1-1-1-1-1111111
χ71111111111111111-1-1-1-1-1-11-1-11-1111-1-1111-11-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-11-1-1-1-1-11-1-1-11-11-1111111111-1-1
χ91111111-1-111111-1-11111-1-1-1111-1-1-11-1-1-1-111111-1-111-1-11-1
χ101111111-1-111111-1-11111-1-1-111-1-11-1-1-1-1-11111-1-111-1-111-11
χ111111111-1-111111-1-11111-1-1-1-1-111-111-111-1-1-1-1-1-11111-1-1-11
χ121111111-1-111111-1-11111-1-1-1-1-1-1111-1-1111-1-1-111-1-1-1-1111-1
χ131111111-1-111111-1-1-1-1-1-111-1111-1-1111-11-1-11-111-1-1-1-111-11
χ141111111-1-111111-1-1-1-1-1-111-111-1-111-11-111-11-1-1-11111-1-11-1
χ151111111-1-111111-1-1-1-1-1-111-1-1-111-1-1111-1-11-11-1-111-1-1111-1
χ161111111-1-111111-1-1-1-1-1-111-1-1-1-111-1-111-111-1111-1-111-1-1-11
χ17222222222-2-2-2-222-222-2-222-20000000-20000000000000000
χ18222222222-2-2-2-222-2-2-222-2-2-2000000020000000000000000
χ192222222-2-2-2-2-2-22-2222-2-2-2-22000000020000000000000000
χ202222222-2-2-2-2-2-22-22-2-2222220000000-20000000000000000
χ21222222-22222-2-2-2-22000000-2000002000-2020-20000000000
χ22222222-22222-2-2-2-22000000-200000-200020-2020000000000
χ23222222-222-2-222-2-2-20000002220-200002000-200000000000
χ24222222-222-2-222-2-2-20000002-2-2020000-2000200000000000
χ25222222-2-2-222-2-2-22-20000002000002000-20-2020000000000
χ26222222-2-2-222-2-2-22-2000000200000-20002020-20000000000
χ27222222-2-2-2-2-222-222000000-222020000-2000-200000000000
χ28222222-2-2-2-2-222-222000000-2-2-20-200002000200000000000
χ292222-2-2-2002-22-22002-22-20000000200000-20000000002-200
χ302222-2-2-2002-22-22002-22-20000000-2000002000000000-2200
χ312222-2-2-2002-22-2200-22-220000000200000-2000000000-2200
χ322222-2-2-2002-22-2200-22-220000000-20000020000000002-200
χ332222-2-2-200-22-222002-2-22000002000-2000000000002-20000
χ342222-2-2-200-22-222002-2-2200000-2000200000000000-220000
χ352222-2-2-200-22-22200-222-2000002000-200000000000-220000
χ362222-2-2-200-22-22200-222-200000-20002000000000002-20000
χ374444-4-44004-4-44-4000000000000000000000000000000000
χ384444-4-4400-444-4-4000000000000000000000000000000000
χ394-44-4-4404i−4i00000000000000000000000000002-22i−2i000000
χ404-44-4-4404i−4i0000000000000000000000000000-22−2i2i000000
χ414-44-4-440−4i4i00000000000000000000000000002-2−2i2i000000
χ424-44-4-440−4i4i0000000000000000000000000000-222i−2i000000
χ4388-8-800000000000000000004-40000000000000000000000
χ4488-8-80000000000000000000-440000000000000000000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-8-8800000000000000004i−4i0000000000000000000000000
χ478-8-880000000000000000−4i4i0000000000000000000000000

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