Finite Group Databasebeta

← Group #273293

Character table — Group #273293

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122224444488888888888816161616161616161616161616161616161616163232
order12222244444442444444488882444444444888888888848
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-111-1-1-11111-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ5111111111111111-1-111-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ6111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111
χ7111111111111111-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1-11-1-111
χ8111111111111111-1-111-1-1-1-1-1-11-1-1111-1-111-1-1-11111-111-1-1
χ91111111111111-1-111-1-11111111-1-11-1-1-1-1-1-1-11-1-1-111111-11
χ101111111111111-1-111-1-11111-1-11-1-11-1-11111-11-111-1-1-1-1-11-1
χ111111111111111-1-111-1-111-1-111-1-1-1-111-1-1-1-11-1111-1-11111-1
χ121111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111-11-1-111-1-1-1-11
χ131111111111111-1-1-1-1-1-1-1-11111-111-111-1-111-11-1-1-1111-1-11-1
χ141111111111111-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-11-111-1-1-111-11
χ151111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1111-1-11-1-1-11
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-11-1-111-1111-1
χ1722222222-22-2-2-2002200-2-22200200-20000000-20000000000
χ1822222222-22-2-2-2002200-2-2-2-200-2002000000020000000000
χ1922222222-22-2-2-200-2-200222200-20020000000-20000000000
χ2022222222-22-2-2-200-2-20022-2-200200-2000000020000000000
χ21222222-2-2-2-2-2222200-2-20000220000002-2000000000-20000
χ22222222-2-2-2-2-2222200-2-20000-2-2000000-2200000000020000
χ23222222-2-2-2-2-222-2-20022000022000000-22000000000-20000
χ24222222-2-2-2-2-222-2-200220000-2-20000002-200000000020000
χ252222-2-2222-2-2-22002-2002-2000000002-2000020-2000000000
χ262222-2-2222-2-2-22002-2002-200000000-220000-202000000000
χ272222-2-2222-2-2-2200-2200-22000000002-20000-202000000000
χ282222-2-2222-2-2-2200-2200-2200000000-22000020-2000000000
χ292222-2-222-2-222-22-22-22-2-22000002-20000000000000000000
χ302222-2-222-2-222-22-2-222-22-200000-220000000000000000000
χ312222-2-222-2-222-2-222-2-22-2200000-220000000000000000000
χ322222-2-222-2-222-2-22-22-222-2000002-20000000000000000000
χ332222-2-2-2-222-22-22-200-22000000000000002i−2i000000002i−2i00
χ342222-2-2-2-222-22-22-200-2200000000000000−2i2i00000000−2i2i00
χ352222-2-2-2-222-22-2-22002-2000000000000002i−2i00000000−2i2i00
χ362222-2-2-2-222-22-2-22002-200000000000000−2i2i000000002i−2i00
χ37444444-4-44-44-4-40000000000000000000000000000000000
χ384444-4-4-4-4-444-440000000000000000000000000000000000
χ3944-4-44-400000000000000022−2222−220000000000000002-200000
χ4044-4-44-400000000000000022−22−2222000000000000000-2200000
χ4144-4-44-4000000000000000−222222−22000000000000000-2200000
χ4244-4-44-4000000000000000−2222−22220000000000000002-200000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-800000000000000000000000000000000002i2−2i20000000
χ458-88-80000000000000000000000000000000000−2i22i20000000
χ468-8-88008-8000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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