Finite Group Databasebeta

← Group #487817

Character table — Group #487817

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222222244442244444444444444442444444448888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-11-11-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-1-1-1111-11-11111-1-1-1-1-11111-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-1-1-111
χ51111111111111-1-111-1-11111-1-111-1-1111-11-111-1-11-1-1-1-1-1-1-1-111
χ61111111111111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1
χ71111111111111-1-111-1-1-1-1-1-111-1-11111111111-1-1-11111-1-1-1-1-1-1
χ81111111111111-1-111-1-1-1-1-1-111-1-11111-11-11-1-1-1-1-1-1-1-1-1111111
χ91111-1-111-11-1-1111-1-1-1-111-1-111-1-1-1-1111-111-1-11-1111-1-111-1-11-1
χ101111-1-111-11-1-1111-1-1-1-111-1-111-1-1-1-111-1-1-11111-11-1-111-1-111-11
χ111111-1-111-11-1-1111-1-1-1-1-1-111-1-1111111111-1-1-11-1-1-1-11111-1-1-11
χ121111-1-111-11-1-1111-1-1-1-1-1-111-1-1111111-11-1-1111-1-111-1-1-1-1111-1
χ131111-1-111-11-1-11-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1111-1
χ141111-1-111-11-1-11-1-1-1-11111-1-1-1-1-1-11111-11-1-111-11111-1-111-1-1-11
χ151111-1-111-11-1-11-1-1-1-111-1-1111111-1-1111-111-1-1-11-111-1-1-1-111-11
χ161111-1-111-11-1-11-1-1-1-111-1-1111111-1-111-1-1-1111-11-1-1-11111-1-11-1
χ172222222222-2-22002-2000000220022-2-20-20-2000000000000000
χ182222222222-2-22002-2000000-2-200-2-2-2-20202000000000000000
χ19222222222-222-222-2-22200000000002-2000000-2-200000000000
χ20222222222-222-2-2-2-2-2-2-200000000002-20000002200000000000
χ21222222222-2-2-2-200-2200222200-2-200-2200000000-20000000000
χ22222222222-2-2-2-200-2200-2-2-2-2002200-220000000020000000000
χ232222-2-222-2222200-220000002200-2-2-2-2020-2000000000000000
χ242222-2-222-2222200-22000000-2-20022-2-20-202000000000000000
χ252222-2-222-2-222-2002-20022-2-2002200-2200000000-20000000000
χ262222-2-222-2-222-2002-200-2-22200-2-200-220000000020000000000
χ272222-2-222-2-2-2-2-22222-2-200000000002-2000000-2200000000000
χ282222-2-222-2-2-2-2-2-2-2222200000000002-20000002-200000000000
χ29444444-4-4-4000000000000000000000020-202-20000000000000
χ30444444-4-4-40000000000000000000000-2020-220000000000000
χ314444-4-4-4-44000000000000000000000020-20-220000000000000
χ324444-4-4-4-440000000000000000000000-20202-20000000000000
χ3344-4-4004-40400-4000000000000000000000000000000022−220000
χ3444-4-4004-40400-40000000000000000000000000000000−22220000
χ3544-4-4004-40-40040000000000000000000000000000000002i2−2i200
χ3644-4-4004-40-4004000000000000000000000000000000000−2i22i200
χ3744-4-400-44004i−4i00000000000000000000000000002i−2i2-2000000
χ3844-4-400-44004i−4i0000000000000000000000000000−2i2i-22000000
χ3944-4-400-4400−4i4i00000000000000000000000000002i−2i-22000000
χ4044-4-400-4400−4i4i0000000000000000000000000000−2i2i2-2000000
χ414-44-44-400000002-2002-22i−2i2i−2i2i−2i002i−2i000000000000000000000
χ424-44-44-400000002-2002-2−2i2i−2i2i−2i2i00−2i2i000000000000000000000
χ434-44-44-40000000-2200-222i−2i2i−2i−2i2i00−2i2i000000000000000000000
χ444-44-44-40000000-2200-22−2i2i−2i2i2i−2i002i−2i000000000000000000000
χ454-44-4-4400000002-200-222i−2i−2i2i2i−2i00−2i2i000000000000000000000
χ464-44-4-4400000002-200-22−2i2i2i−2i−2i2i002i−2i000000000000000000000
χ474-44-4-440000000-22002-22i−2i−2i2i−2i2i002i−2i000000000000000000000
χ484-44-4-440000000-22002-2−2i2i2i−2i2i−2i00−2i2i000000000000000000000
χ498-8-880000000000000000000004i−4i00000000000000000000000
χ508-8-88000000000000000000000−4i4i00000000000000000000000

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