Finite Group Databasebeta

← Group #280985

Character table — Group #280985

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444448888888888816161616161616161616161616161616161616163232
order12222244444444488224444448884444444488888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ511111111111111111-1-1-1-11111111-1-111-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-1-1-11111-1-1
χ811111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ9111111111111111-1-111-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-11-1
χ10111111111111111-1-111-1-11111-1-1-1-11-1-1-1-111-1-111-1-111-1-111-11
χ11111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1111-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-111-1-1-11
χ13111111111111111-1-1-1-1111111-1-1-11-11111-1-111-1-1-1-1-1-1-1-111-11
χ14111111111111111-1-1-1-1111111-1-1-11-1-1-111-1-1-1-111-1-11111-1-11-1
χ15111111111111111-1-1-1-111-1-1-1-1-1-1-11-111-1-111-1-1-1-1111111-1-1-11
χ16111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1111-1
χ1722222222-2-222-2-2-22222-2-200002-2-22-200000000000000000000
χ1822222222-2-222-2-2-222-2-22200002-2-2-2200000000000000000000
χ1922222222-2-222-2-2-2-2-222220000-222-2-200000000000000000000
χ2022222222-2-222-2-2-2-2-2-2-2-2-20000-2222200000000000000000000
χ21222222-2-222-2-22-2-200000022-2-200000000000002i−2i002i−2i000000
χ22222222-2-222-2-22-2-200000022-2-20000000000000−2i2i00−2i2i000000
χ23222222-2-222-2-22-2-2000000-2-22200000000000002i−2i00−2i2i000000
χ24222222-2-222-2-22-2-2000000-2-2220000000000000−2i2i002i−2i000000
χ252222-2-22-2-2-2-2222-20000002i−2i2i−2i000002-200002i−2i000000000000
χ262222-2-22-2-2-2-2222-20000002i−2i2i−2i00000-220000−2i2i000000000000
χ272222-2-22-2-2-2-2222-2000000−2i2i−2i2i000002-20000−2i2i000000000000
χ282222-2-22-2-2-2-2222-2000000−2i2i−2i2i00000-2200002i−2i000000000000
χ292222-2-2-22222-2-22-22200000000-22-200002i−2i2i−2i00000000000000
χ302222-2-2-22222-2-22-22200000000-22-20000−2i2i−2i2i00000000000000
χ312222-2-2-22222-2-22-2-2-2000000002-2200002i−2i−2i2i00000000000000
χ322222-2-2-22222-2-22-2-2-2000000002-220000−2i2i2i−2i00000000000000
χ332222-2-2-22-2-22-22-222200002i−2i−2i2i-2-220000000000002i−2i00000000
χ342222-2-2-22-2-22-22-22220000−2i2i2i−2i-2-22000000000000−2i2i00000000
χ352222-2-2-22-2-22-22-22-2-200002i−2i−2i2i22-2000000000000−2i2i00000000
χ362222-2-2-22-2-22-22-22-2-20000−2i2i2i−2i22-20000000000002i−2i00000000
χ37444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ384444-4-44-444-44-4-4400000000000000000000000000000000000
χ3944-4-44-44-4004-40000000000000000000000000000000022−220000
χ4044-4-44-44-4004-400000000000000000000000000000000−22220000
χ4144-4-44-4-4400-4400000004i−4i00000000000000000000000000000
χ4244-4-44-4-4400-440000000−4i4i00000000000000000000000000000
χ4344-4-4-444400-4-4000004-40000000000000000000000000000000
χ4444-4-4-444400-4-400000-440000000000000000000000000000000
χ4544-4-4-44-4-40044000000000000000000000000000000000022−2200
χ4644-4-4-44-4-400440000000000000000000000000000000000−222200
χ478-88-8000000000004i2−4i2000000000000000000000000000000000
χ488-88-800000000000−4i24i2000000000000000000000000000000000
χ498-8-8800008i−8i0000000000000000000000000000000000000000
χ508-8-880000−8i8i0000000000000000000000000000000000000000

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