Finite Group Databasebeta

← Group #487659

Character table — Group #487659

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444488888816161616161616161616161616161616161616161616163232
order12222222222442224442224444444444444444888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111-11-111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ511111111111111-1-1111-111-111-1111-1-1-11-11111-1-1-1-1-1-1
χ611111111111111-1-1111-11-1-1-11-1-1-11-1-1-11-1-1-1-1-1111111
χ711111111111111-1-1111-1-1111-1111-11-1-1-11-1-1-1-11111-1-1
χ811111111111111-1-1111-1-1-11-1-11-1-1-11-1-1-111111-1-1-1-111
χ91111-1-1111-11-1-1-111-111-111-11-11-1-1111-1-1-111-1-111-1-11-1
χ101111-1-1111-11-1-1-111-111-11-1-1-1-1111111-1-1-1-1-111-1-111-11
χ111111-1-1111-11-1-1-111-111-1-11111-1-1-1-1-11-111-1-111-1-1111-1
χ121111-1-1111-11-1-1-111-111-1-1-11-11-111-1-11-11111-1-111-1-1-11
χ131111-1-1111-11-1-1-1-1-1-11111111-1-1-1-11-1-11-1111-1-1-1-111-11
χ141111-1-1111-11-1-1-1-1-1-11111-11-1-1-1111-1-11-11-1-11111-1-11-1
χ151111-1-1111-11-1-1-1-1-1-1111-11-1111-1-1-11-111-1-1-11111-1-1-11
χ161111-1-1111-11-1-1-1-1-1-1111-1-1-1-11111-11-111-111-1-1-1-1111-1
χ1722222222222-2-2200-2-2-2020002000-2000-200000000000
χ1822222222222-2-2200-2-2-20-2000-20002000200000000000
χ1922222222-22-222-200-22-20002002000-2000-20000000000
χ2022222222-22-222-200-22-2000-200-2000200020000000000
χ2122222222-22-2-2-2-2222-2220000000000-2-2000000000000
χ2222222222-22-2-2-2-2-2-22-22-2000000000022000000000000
χ232222-2-2222-2222-2002-2-202000-2000-2000200000000000
χ242222-2-2222-2222-2002-2-20-200020002000-200000000000
χ252222-2-222-2-2-222222-2-22-20000000000-22000000000000
χ262222-2-222-2-2-2222-2-2-2-22200000000002-2000000000000
χ272222-2-222-2-2-2-2-220022-2000200-20002000-20000000000
χ282222-2-222-2-2-2-2-220022-2000-2002000-200020000000000
χ29444444-4-40-40000000000020-2002-20000000000000000
χ30444444-4-40-400000000000-20200-220000000000000000
χ314444-4-4-4-4040000000000020-200-220000000000000000
χ324444-4-4-4-40400000000000-202002-20000000000000000
χ3344-4-4004-40004i−4i0000000000000000000002-22i−2i000000
χ3444-4-4004-40004i−4i000000000000000000000-22−2i2i000000
χ3544-4-4004-4000−4i4i0000000000000000000002-2−2i2i000000
χ3644-4-4004-4000−4i4i000000000000000000000-222i−2i000000
χ3744-4-400-4440-40000000000000000000000000002i2−2i20000
χ3844-4-400-4440-4000000000000000000000000000−2i22i20000
χ3944-4-400-44-4040000000000000000000000000000022−2200
χ4044-4-400-44-40400000000000000000000000000000−222200
χ418-88-800000000004-40000000000000000000000000000
χ428-88-80000000000-440000000000000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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