Finite Group Databasebeta

← Group #487847

Character table — Group #487847

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444488888816161616161616161616161616161616161616161616163232
order12222222244444444442224444444444448888888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111-1-111-111-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111111-1-11-1-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-1111-111-1-111-111-1-11-11111-1-1-1-1-1-1
χ6111111111111111-1-1111-1-1-1-1-1-11-1-11-1-11-1-1-1-1-1111111
χ7111111111111111-1-111-1111-1-11-111-11-1-11-1-1-1-11111-1-1
χ8111111111111111-1-111-11-1-1-1-1-1-11-1-11-1-111111-1-1-1-111
χ91111-1-111-11-1-11-1-111111-1111-1-1-11-1-1-1-11111-1-111-1-11-1
χ101111-1-111-11-1-11-1-111111-1-1-11-11-111-1-1-111-1-111-1-111-11
χ111111-1-111-11-1-11-1-11111-11111-1-11-1-111-1-1-1-1-111-1-1111-1
χ121111-1-111-11-1-11-1-11111-11-1-11-111-1111-1-1-111-1-111-1-1-11
χ131111-1-111-11-1-11-1-1-1-1111111-11-1-1-1-1-1111-111-1-1-1-111-11
χ141111-1-111-11-1-11-1-1-1-11111-1-1-111-1-11-1111-1-1-11111-1-11-1
χ151111-1-111-11-1-11-1-1-1-111-1-111-11-111-11-11-11-1-11111-1-1-11
χ161111-1-111-11-1-11-1-1-1-111-1-1-1-1-1111111-11-1111-1-1-1-1111-1
χ172222222222-2-222-200-2-22000000200-200-200000000000
χ182222222222-2-222-200-2-2-2000000-200200200000000000
χ19222222222-222-2-2-2002-202000000200-200-20000000000
χ20222222222-222-2-2-2002-20-2000000-20020020000000000
χ21222222222-2-2-2-2-2222-220000-2-20000002000000000000
χ22222222222-2-2-2-2-22-2-2-22000022000000-2000000000000
χ232222-2-222-22222-2200-2-22000000-200200-200000000000
χ242222-2-222-22222-2200-2-2-2000000200-200200000000000
χ252222-2-222-2-222-22-222-220000-22000000-2000000000000
χ262222-2-222-2-222-22-2-2-2-2200002-20000002000000000000
χ272222-2-222-2-2-2-2-222002-202000000-200-20020000000000
χ282222-2-222-2-2-2-2-222002-20-2000000200200-20000000000
χ29444444-4-4-40000000000002-200-2002000000000000000
χ30444444-4-4-4000000000000-2200200-2000000000000000
χ314444-4-4-4-440000000000002-200200-2000000000000000
χ324444-4-4-4-44000000000000-2200-2002000000000000000
χ3344-4-4004-40400-400000000000000000000000000022−2200
χ3444-4-4004-40400-4000000000000000000000000000−222200
χ3544-4-4004-40-400400000000000000000000000002i2−2i20000
χ3644-4-4004-40-40040000000000000000000000000−2i22i20000
χ3744-4-400-44004i−4i00000000000000000000002-22i−2i000000
χ3844-4-400-44004i−4i0000000000000000000000-22−2i2i000000
χ3944-4-400-4400−4i4i00000000000000000000002-2−2i2i000000
χ4044-4-400-4400−4i4i0000000000000000000000-222i−2i000000
χ418-88-8000000000004i−4i000000000000000000000000000
χ428-88-800000000000−4i4i000000000000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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