Finite Group Databasebeta

← Group #273249

Character table — Group #273249

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122224444488888888888816161616161616161616161616161616161616163232
order12222244444442224444488882224444444888888888848
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-11111-1-1-111
χ5111111111111111-111-1-1-11111-11-1-1-11-1-1-1-11-1-1-1-111111-11
χ6111111111111111-111-1-1-111-1-1-11-1-1-1111111-1-111-1-1-1-1-11-1
χ7111111111111111-111-1-1-1-1-111-1-11-11-1-1-1-1-1-11111-1-11111-1
χ8111111111111111-111-1-1-1-1-1-1-1-1-11-11-11111-111-1-111-1-1-1-11
χ91111111111111-1-11-1-11111111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ101111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111
χ111111111111111-1-11-1-1111-1-111-111-11111-1-1-1-1-1-1-1-1-11-1-111
χ121111111111111-1-11-1-1111-1-1-1-1-111-111-1-111-1-1-11111-111-1-1
χ131111111111111-1-1-1-1-1-1-1-111111-1111-1-1-1111-1-1-1-1111-1-11-1
χ141111111111111-1-1-1-1-1-1-1-111-1-11-1111-111-1-11-1-111-1-1-111-11
χ151111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-11111-1-11-1-1-11
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-111-1-111-1111-1
χ1722222222-22-2-2-2220-2-2000220002000-20000-200000000000
χ1822222222-22-2-2-2220-2-2000-2-2000-200020000200000000000
χ1922222222-22-2-2-2-2-202200022000-200020000-200000000000
χ2022222222-22-2-2-2-2-2022000-2-20002000-20000200000000000
χ21222222-2-2-2-22-2200200-22-20022000000-22000000000-20000
χ22222222-2-2-2-22-2200200-22-200-2-20000002-200000000020000
χ23222222-2-2-2-22-2200-2002-2200220000002-2000000000-20000
χ24222222-2-2-2-22-2200-2002-2200-2-2000000-2200000000020000
χ252222-2-2222-2-2-222-202-200000000020-20000002-2000000000
χ262222-2-2222-2-2-222-202-2000000000-202000000-22000000000
χ272222-2-2222-2-2-22-220-2200000000020-2000000-22000000000
χ282222-2-2222-2-2-22-220-22000000000-2020000002-2000000000
χ292222-2-222-2-222-22-22-22-2-220000200-2000000000000000000
χ302222-2-222-2-222-22-2-2-2222-20000-2002000000000000000000
χ312222-2-222-2-222-2-2222-2-2-220000-2002000000000000000000
χ322222-2-222-2-222-2-22-22-222-20000200-2000000000000000000
χ332222-2-2-2-2222-2-2002002-2-20000000000002i−2i000000002i−2i00
χ342222-2-2-2-2222-2-2002002-2-2000000000000−2i2i00000000−2i2i00
χ352222-2-2-2-2222-2-200-200-2220000000000002i−2i00000000−2i2i00
χ362222-2-2-2-2222-2-200-200-222000000000000−2i2i000000002i−2i00
χ37444444-4-44-4-44-40000000000000000000000000000000000
χ384444-4-4-4-4-44-4440000000000000000000000000000000000
χ394-44-44-400000000000000022−222i2−2i20000000000000002i−2i00000
χ404-44-44-400000000000000022−22−2i22i2000000000000000−2i2i00000
χ414-44-44-4000000000000000−22222i2−2i2000000000000000−2i2i00000
χ424-44-44-4000000000000000−2222−2i22i20000000000000002i−2i00000
χ4388-8-800000000000000000000000000000000002i2−2i20000000
χ4488-8-80000000000000000000000000000000000−2i22i20000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-88008-8000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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