Finite Group Databasebeta

← Group #273290

Character table — Group #273290

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122224444488888888888816161616161616161616161616161616161616163232
order12222244444442444444488882244444444888888888848
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
χ51111111111111111-1-11-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ61111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111
χ71111111111111111-1-11-1-1-1-111-111-11111-1-1-1-1-1-1-1-1-11-1-111
χ81111111111111111-1-11-1-1-1-1-1-1-111-111-1-111-1-1-11111-111-1-1
χ91111111111111-1-1-111-1111111-1-11-11-1-1-1-1-1-11-1-1-111111-11
χ101111111111111-1-1-111-11111-1-1-1-11-11-11111-11-111-1-1-1-1-11-1
χ111111111111111-1-1-111-111-1-111-11-1-1-11-1-1-1-11-1111-1-11111-1
χ121111111111111-1-1-111-111-1-1-1-1-11-1-1-1111111-11-1-111-1-1-1-11
χ131111111111111-1-1-1-1-1-1-1-1111111-11-11-1-111-11-1-1-1111-1-11-1
χ141111111111111-1-1-1-1-1-1-1-111-1-111-11-1111-1-1-11-111-1-1-111-11
χ151111111111111-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1111-1111-1-11-1-1-11
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-11-11-1-111-1111-1
χ17222222222-2-2-2-2000220-2-222000020-2000000-20000000000
χ18222222222-2-2-2-2000220-2-2-2-20000-20200000020000000000
χ19222222222-2-2-2-2000-2-2022220000-202000000-20000000000
χ20222222222-2-2-2-2000-2-2022-2-2000020-200000020000000000
χ21222222-2-2-2-22-222-2-2002000022000000-22000000000-20000
χ22222222-2-2-2-22-222-2-20020000-2-20000002-200000000020000
χ23222222-2-2-2-22-22-22200-20000220000002-2000000000-20000
χ24222222-2-2-2-22-22-22200-20000-2-2000000-2200000000020000
χ252222-2-222-22-2-220002-202-2000002000-2000020-2000000000
χ262222-2-222-22-2-220002-202-200000-200020000-202000000000
χ272222-2-222-22-2-22000-220-22000002000-20000-202000000000
χ282222-2-222-22-2-22000-220-2200000-20002000020-2000000000
χ292222-2-222-2-222-22-222-2-2-220000200-2000000000000000000
χ302222-2-222-2-222-22-22-22-22-20000-2002000000000000000000
χ312222-2-222-2-222-2-22-22-22-220000-2002000000000000000000
χ322222-2-222-2-222-2-22-2-2222-20000200-2000000000000000000
χ332222-2-2-2-2222-2-222-200-2000000000000002i−2i000000002i−2i00
χ342222-2-2-2-2222-2-222-200-200000000000000−2i2i00000000−2i2i00
χ352222-2-2-2-2222-2-2-2-22002000000000000002i−2i00000000−2i2i00
χ362222-2-2-2-2222-2-2-2-2200200000000000000−2i2i000000002i−2i00
χ37444444-4-4-44-44-40000000000000000000000000000000000
χ384444-4-4-4-44-4-4440000000000000000000000000000000000
χ394-4-444-400000000000000022−222i2−2i20000000000000002i−2i00000
χ404-4-444-400000000000000022−22−2i22i2000000000000000−2i2i00000
χ414-4-444-4000000000000000−22222i2−2i2000000000000000−2i2i00000
χ424-4-444-4000000000000000−2222−2i22i20000000000000002i−2i00000
χ4388-8-8000000000000000000000000000000000022−220000000
χ4488-8-80000000000000000000000000000000000−22220000000
χ458-88-8008-8000000000000000000000000000000000000000
χ468-88-800-88000000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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