Finite Group Databasebeta

← Group #245992

Character table — Group #245992

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222244444444224444444442224444444448888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-111-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-111-11-1-11-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-11-1-1-1-111-1-111111-11-11-11111-1-1-1-1-1-1
χ61111111111111111-1-11-1-1-1-111-1-1-1-11-11-1-1-11-1-1-1-1-1111111
χ71111111111111111-1-11-1-1-1-1-1-1-1111-11-1111-11-1-1-1-1-1-1-1-111
χ81111111111111111-1-11-1-1-1-1-1-1-11-1-1-1-1-11-11-1111111111-1-1
χ91111111-1-111111-1-111-111-1-111-1-111-1-1-1-1-111111-1-111-1-11-1
χ101111111-1-111111-1-111-111-1-111-1-1-1-1-11-1-11111-1-111-1-111-11
χ111111111-1-111111-1-111-111-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-11
χ121111111-1-111111-1-111-111-1-1-1-1-11-1-111111-1-1-111-1-1-1-1111-1
χ131111111-1-111111-1-1-1-1-1-1-111111111-1-1-11-1-11-111-1-1-1-111-11
χ141111111-1-111111-1-1-1-1-1-1-1111111-1-1-11-111-11-1-1-11111-1-11-1
χ151111111-1-111111-1-1-1-1-1-1-111-1-11-1111-11-1-11-11-1-111-1-1111-1
χ161111111-1-111111-1-1-1-1-1-1-111-1-11-1-1-1111-111-1111-1-111-1-1-11
χ17222222222-2-2-2-222-222-2-2-22200-2000000000000000000000
χ18222222222-2-2-2-222-2-2-2-222-2-2002000000000000000000000
χ192222222-2-2-2-2-2-22-22222-2-2-2-2002000000000000000000000
χ202222222-2-2-2-2-2-22-22-2-22222200-2000000000000000000000
χ21222222-22222-2-2-2-2-2002000022000020-2000-200000000000
χ22222222-22222-2-2-2-2-20020000-2-20000-202000200000000000
χ23222222-222-2-222-2-2200-20000000200000-2020-20000000000
χ24222222-222-2-222-2-2200-20000000-20000020-2020000000000
χ25222222-2-2-222-2-2-22200-20000220000-202000-200000000000
χ26222222-2-2-222-2-2-22200-20000-2-2000020-2000200000000000
χ27222222-2-2-2-2-222-22-20020000000200000-20-2020000000000
χ28222222-2-2-2-2-222-22-20020000000-2000002020-20000000000
χ292222-2-2-2002-22-22002-202-2000000000200-20000000002-200
χ302222-2-2-2002-22-22002-202-2000000000-2002000000000-2200
χ312222-2-2-2002-22-2200-220-22000000000200-2000000000-2200
χ322222-2-2-2002-22-2200-220-22000000000-20020000000002-200
χ332222-2-2-200-22-222002-20-220000002-20000000000002-20000
χ342222-2-2-200-22-222002-20-22000000-22000000000000-220000
χ352222-2-2-200-22-22200-2202-20000002-2000000000000-220000
χ362222-2-2-200-22-22200-2202-2000000-220000000000002-20000
χ374444-4-44004-4-44-4000000000000000000000000000000000
χ384444-4-4400-444-4-4000000000000000000000000000000000
χ3944-4-4-4404i−4i00000000000000000000000000002-22i−2i000000
χ4044-4-4-4404i−4i0000000000000000000000000000-22−2i2i000000
χ4144-4-4-440−4i4i00000000000000000000000000002-2−2i2i000000
χ4244-4-4-440−4i4i0000000000000000000000000000-222i−2i000000
χ4388-8-88-800000000000000000000000000000000000000000
χ448-88-8000000000000000004i−4i000000000000000000000000
χ458-88-800000000000000000−4i4i000000000000000000000000
χ468-8-8800000000000000000004-40000000000000000000000
χ478-8-880000000000000000000-440000000000000000000000

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