Finite Group Databasebeta

← Group #273254

Character table — Group #273254

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122224444488888888888816161616161616161616161616161616161616163232
order12222244444442444444488882444444444888888888848
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-11-1-1-11111-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ5111111111111111-1-11-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ6111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111
χ7111111111111111-1-11-1-11-1-111-11-111111-1-1-1-1-1-1-1-1-11-1-111
χ8111111111111111-1-11-1-11-1-1-1-1-11-1111-1-111-1-1-11111-111-1-1
χ91111111111111-1-111-111-11111-1-1-111-1-1-1-1-11-1-1-1-111111-11
χ101111111111111-1-111-111-111-1-1-1-1-111-111111-1-111-1-1-1-1-11-1
χ111111111111111-1-111-111-1-1-111-11-1-1-11-1-1-1-1-11111-1-11111-1
χ121111111111111-1-111-111-1-1-1-1-1-11-1-1-111111-111-1-111-1-1-1-11
χ131111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1111-1-1-1-1111-1-11-1
χ141111111111111-1-1-1-1-1-1-1-111-1-1111-1-1111-1-11-1-111-1-1-111-11
χ151111111111111-1-1-1-1-1-1-1-1-1-1111-1111-1-1-111-11111-1-11-1-1-11
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-1-111-1-111-1111-1
χ17222222222-2-2-2-200220-2-2022000002-200000-200000000000
χ18222222222-2-2-2-200220-2-20-2-200000-2200000200000000000
χ19222222222-2-2-2-200-2-202202200000-2200000-200000000000
χ20222222222-2-2-2-200-2-20220-2-2000002-200000200000000000
χ21222222-2-2-2-2-2222-200200-20022000000-22000000000-20000
χ22222222-2-2-2-2-2222-200200-200-2-20000002-200000000020000
χ23222222-2-2-2-2-222-2200-200200220000002-2000000000-20000
χ24222222-2-2-2-2-222-2200-200200-2-2000000-2200000000020000
χ252222-2-222-22-2-22002-202-20000002000-2000002-2000000000
χ262222-2-222-22-2-22002-202-2000000-2000200000-22000000000
χ272222-2-222-22-2-2200-220-220000002000-200000-22000000000
χ282222-2-222-22-2-2200-220-22000000-20002000002-2000000000
χ292222-2-222-2-222-2222-2-2-22-2000020-20000000000000000000
χ302222-2-222-2-222-222-22-22-2-20000-2020000000000000000000
χ312222-2-222-2-222-2-2-22-22-2220000-2020000000000000000000
χ322222-2-222-2-222-2-2-2-2222-22000020-20000000000000000000
χ332222-2-2-2-222-22-22-200-20020000000000002i−2i000000002i−2i00
χ342222-2-2-2-222-22-22-200-2002000000000000−2i2i00000000−2i2i00
χ352222-2-2-2-222-22-2-2200200-20000000000002i−2i00000000−2i2i00
χ362222-2-2-2-222-22-2-2200200-2000000000000−2i2i000000002i−2i00
χ37444444-4-4-444-4-40000000000000000000000000000000000
χ384444-4-4-4-44-44-440000000000000000000000000000000000
χ394-44-4-440000000000000002i2−2i222−220000000000000002i−2i00000
χ404-44-4-440000000000000002i2−2i2−2222000000000000000−2i2i00000
χ414-44-4-44000000000000000−2i22i222−22000000000000000−2i2i00000
χ424-44-4-44000000000000000−2i22i2−22220000000000000002i−2i00000
χ4388-8-8008-8000000000000000000000000000000000000000
χ4488-8-800-88000000000000000000000000000000000000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-8-8800000000000000000000000000000000002i2−2i20000000
χ478-8-880000000000000000000000000000000000−2i22i20000000

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