Finite Group Databasebeta

← Group #486178

Character table — Group #486178

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222222244444444444444422244444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11-111-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111-1-1-1-1-1-1111-111-111-111-11-11111-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111-1-1-1-1-11-1-11-11-1-1-1-1-1111111
χ71111111111111111-1-1-1-1-1-111-1111-11-111-11-11-1-1-1-11111-1-1
χ81111111111111111-1-1-1-1-1-111-11-1-1-1-1-11-1-11-111111-1-1-1-111
χ91111-1-111-1-1-1-1-111-11111-1-1111-111-1-1-11-1-111-111-1-111-1-11-1
χ101111-1-111-1-1-1-1-111-11111-1-1111-1-1-1-11-111-111-1-1-111-1-111-11
χ111111-1-111-1-1-1-1-111-11111-1-111-1111-1-11-1-11-1-11-1-111-1-1111-1
χ121111-1-111-1-1-1-1-111-11111-1-111-11-1-1-111-111-1-1111-1-111-1-1-11
χ131111-1-111-1-1-1-1-111-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-11
χ141111-1-111-1-1-1-1-111-1-1-1-1-1111111-1-111-1-11-1-111-1-11111-1-11-1
χ151111-1-111-1-1-1-1-111-1-1-1-1-11111-1-1111-111-111-1-1-1-11111-1-1-11
χ161111-1-111-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-1111-1
χ1722222222222-2-2-2-2-20000002-20200000200-20-20000000000
χ1822222222222-2-2-2-2-20000002-20-200000-2002020000000000
χ19222222222-2-222-2-2-2000000-22200000200-20-200000000000
χ20222222222-2-222-2-2-2000000-22-200000-20020200000000000
χ21222222222-2-2-2-222222-2-2-2-2-2-200002000000000000000000
χ22222222222-2-2-2-2222-2-22222-2-20000-2000000000000000000
χ232222-2-222-2222222-222-2-222-2-20000-2000000000000000000
χ242222-2-222-2222222-2-2-222-2-2-2-200002000000000000000000
χ252222-2-222-222-2-2-2-22000000-22200000-20020-200000000000
χ262222-2-222-222-2-2-2-22000000-22-200000200-20200000000000
χ272222-2-222-2-2-222-2-220000002-20200000-20020-20000000000
χ282222-2-222-2-2-222-2-220000002-20-200000200-2020000000000
χ2922-2-200-2202i−2i2i−2i2-202i−2i002-20000000000000002−2i2−i2i2−i22−200
χ3022-2-200-2202i−2i2i−2i2-202i−2i002-2000000000000000−22−i2i2−i2i2−2200
χ3122-2-200-2202i−2i2i−2i2-20−2i2i00-220000000000000002−2i2−i2−i2i2−2200
χ3222-2-200-2202i−2i2i−2i2-20−2i2i00-22000000000000000−22−i2i2i2−i22−200
χ3322-2-200-220−2i2i−2i2i2-202i−2i00-220000000000000002−2−i2i2i2−i2−2200
χ3422-2-200-220−2i2i−2i2i2-202i−2i00-22000000000000000−22i2−i2−i2i22−200
χ3522-2-200-220−2i2i−2i2i2-20−2i2i002-20000000000000002−2−i2i2−i2i22−200
χ3622-2-200-220−2i2i−2i2i2-20−2i2i002-2000000000000000−22i2−i2i2−i2−2200
χ37444444-4-4-4000000000000000002-20-200200000000000000
χ38444444-4-4-400000000000000000-220200-200000000000000
χ394444-4-4-4-44000000000000000002-20200-200000000000000
χ404444-4-4-4-4400000000000000000-220-200200000000000000
χ4144-4-400-4404i−4i−4i4i-4400000000000000000000000000000000
χ4244-4-400-440−4i4i4i−4i-4400000000000000000000000000000000
χ4388-8-8008-8000000000000000000000000000000000000000
χ448-88-8000000000000004i−4i000000000000000000000000000
χ458-88-800000000000000−4i4i000000000000000000000000000
χ468-8-888-800000000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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