Finite Group Databasebeta

← Group #487849

Character table — Group #487849

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444488888816161616161616161616161616161616161616161616163232
order12222222244444444442444444444444448888888888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-111-1-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-1111111-1-1-111-11-1-11-11111-1-1-1-1-1-1
χ6111111111111111-1-111111-11-1-11-11-11-1-11-1-1-1-11111-1-1
χ7111111111111111-1-111-1-1-11-1-1-1-11-11-1-11-1-1-1-1-1111111
χ8111111111111111-1-111-1-1-1-11-1-1-1-11-11-1-111111-1-1-1-111
χ91111-1-111-1-1-111-1-111111-111-11-1-1-11-1-1-11111-1-111-1-11-1
χ101111-1-111-1-1-111-1-111111-11-111-1-11-111-1-1-1-1-111-1-1111-1
χ111111-1-111-1-1-111-1-11111-11-11-11-11-11-1-1-111-1-111-1-111-11
χ121111-1-111-1-1-111-1-11111-11-1-111-111-111-1-1-111-1-111-1-1-11
χ131111-1-111-1-1-111-1-1-1-1111-1111-11-1-1-1-1111-111-1-1-1-111-11
χ141111-1-111-1-1-111-1-1-1-1111-11-1-1-11-1111-11-11-1-11111-1-1-11
χ151111-1-111-1-1-111-1-1-1-111-11-111-111-1-1-1111-1-1-11111-1-11-1
χ161111-1-111-1-1-111-1-1-1-111-11-1-1-1-111111-11-1111-1-1-1-1111-1
χ1722222222222-2-2-2-2002-200002000020-200-20000000000
χ1822222222222-2-2-2-2002-20000-20000-2020020000000000
χ19222222222-2-222-2200-2-20002000020-200-200000000000
χ20222222222-2-222-2200-2-2000-20000-20200200000000000
χ21222222222-2-2-2-22-222-2200000-2-2000002000000000000
χ22222222222-2-2-2-22-2-2-2-22000002200000-2000000000000
χ232222-2-222-222222-200-2-200020000-20200-200000000000
χ242222-2-222-222222-200-2-2000-2000020-200200000000000
χ252222-2-222-222-2-2-2222-2200000-2200000-2000000000000
χ262222-2-222-222-2-2-22-2-2-22000002-2000002000000000000
χ272222-2-222-2-2-2-2-222002-2000020000-20-20020000000000
χ282222-2-222-2-2-2-2-222002-20000-2000020200-20000000000
χ29444444-4-4-4000000000022-20000-200000000000000000
χ30444444-4-4-40000000000-2-220000200000000000000000
χ314444-4-4-4-4400000000002-2-20000200000000000000000
χ324444-4-4-4-440000000000-2220000-200000000000000000
χ334-44-4004-40004-400000000000000000000000000022−2200
χ344-44-4004-40004-4000000000000000000000000000−222200
χ354-44-4004-4000-4400000000000000000000000002i2−2i20000
χ364-44-4004-4000-440000000000000000000000000−2i22i20000
χ374-44-400-4404i−4i000000000000000000000002-22i−2i000000
χ384-44-400-4404i−4i00000000000000000000000-22−2i2i000000
χ394-44-400-440−4i4i000000000000000000000002-2−2i2i000000
χ404-44-400-440−4i4i00000000000000000000000-222i−2i000000
χ4188-8-88-800000000000000000000000000000000000000
χ4288-8-8-8800000000000000000000000000000000000000
χ438-8-88000000000004i−4i000000000000000000000000000
χ448-8-8800000000000−4i4i000000000000000000000000000

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