Finite Group Databasebeta

← Group #328573

Character table — Group #328573

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444444444448888888844448888888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-11-1-11111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-11-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-1111111-1-11-1-1111-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ101111111111-1-1-1-1111111-1-11-1-1111-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ111111111111-1-1-1-1111111-1-11-1-1111-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-11
χ121111111111-1-1-1-1111111-1-11-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1111-1
χ131111111111-1-1-1-1111111-1-11-1-11-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-11
χ141111111111-1-1-1-1111111-1-11-1-11-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1
χ151111111111-1-1-1-1111111-1-11-1-11-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-1
χ161111111111-1-1-1-1111111-1-11-1-11-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-11
χ1722222222222222-2-2-222-222-2-2-2-222-2220000-2-200-2-2000000000000000000000000
χ1822222222222222-2-2-222-222-2-2-2-2-2-2-2-2-20000220022000000000000000000000000
χ192222222222-2-2-2-2-2-2-222-2-2-2-222-2222-2-200002200-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-222-2-2-2-222-2-2-22220000-2-20022000000000000000000000000
χ2122222222-2-22222222-2-22-2-2-222-200-200222200-2-200-2-20000000000000000000000
χ2222222222-2-22222222-2-22-2-2-222-200-200-2-2-2-2002200220000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-22-2-2200200000000000000000000002-22-20000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-22-2-220020000000000000000000000-22-220000000000
χ2522222222-2-2-2-2-2-2222-2-2222-2-2-2-20020022-2-200-2-200220000000000000000000000
χ2622222222-2-2-2-2-2-2222-2-2222-2-2-2-200200-2-222002200-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-200000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-20000000000000000000000-222-20000000000
χ2922-22-2-22-22-22i2i−2i−2i0002-202i−2i00000000000002-2002i−2i00i2i2−i2−i222−2−2000000002−2i2−i200
χ3022-22-2-22-22-22i2i−2i−2i0002-202i−2i00000000000002-2002i−2i00−i2−i2i2i2−2−22200000000−22−i2i200
χ3122-22-2-22-22-22i2i−2i−2i0002-202i−2i0000000000000-2200−2i2i00i2i2−i2−i222−2−200000000−22−i2i200
χ3222-22-2-22-22-22i2i−2i−2i0002-202i−2i0000000000000-2200−2i2i00−i2−i2i2i2−2−222000000002−2i2−i200
χ3322-22-2-22-22-2−2i−2i2i2i0002-20−2i2i00000000000002-200−2i2i00i2i2−i2−i2−2−22200000000−22i2−i200
χ3422-22-2-22-22-2−2i−2i2i2i0002-20−2i2i00000000000002-200−2i2i00−i2−i2i2i222−2−2000000002−2−i2i200
χ3522-22-2-22-22-2−2i−2i2i2i0002-20−2i2i0000000000000-22002i−2i00i2i2−i2−i2−2−222000000002−2−i2i200
χ3622-22-2-22-22-2−2i−2i2i2i0002-20−2i2i0000000000000-22002i−2i00−i2−i2i2i222−2−200000000−22i2−i200
χ372-2-2-22-222002-22-22-2-20020002-20000000000002-2002-22−22−22−22−200002−22−2000000
χ382-2-2-22-222002-22-22-2-20020002-20000000000002-2002-2−22−22−22−220000−22−22000000
χ392-2-2-22-222002-22-22-2-20020002-2000000000000-2200-222−22−22−22−20000−22−22000000
χ402-2-2-22-222002-22-22-2-20020002-2000000000000-2200-22−22−22−22−2200002−22−2000000
χ412-2-2-22-22200-22-222-2-2002000-220000000000002-200-222−22−2−22−2200002−2−22000000
χ422-2-2-22-22200-22-222-2-2002000-220000000000002-200-22−22−222−22−20000−222−2000000
χ432-2-2-22-22200-22-222-2-2002000-22000000000000-22002-22−22−2−22−220000−222−2000000
χ442-2-2-22-22200-22-222-2-2002000-22000000000000-22002-2−22−222−22−200002−2−22000000
χ45444-44-4-4-44-40000000-4400000004-40000000000000000000000000000000000000
χ46444-44-4-4-44-40000000-440000000-440000000000000000000000000000000000000
χ47444-44-4-4-4-4400000004-400000000004-40000000000000000000000000000000000
χ48444-44-4-4-4-4400000004-40000000000-440000000000000000000000000000000000
χ4944-44-4-44-4-444i4i−4i−4i000-440−4i4i0000000000000000000000000000000000000000000
χ5044-44-4-44-4-44−4i−4i4i4i000-4404i−4i0000000000000000000000000000000000000000000
χ5144-4-4-44-4444000044-4-4-4-400400-4000000000000000000000000000000000000000
χ5244-4-4-44-44440000-4-44-4-4400-4004000000000000000000000000000000000000000
χ5344-4-4-44-44-4-4000044-444-400-4004000000000000000000000000000000000000000
χ5444-4-4-44-44-4-40000-4-4444400400-4000000000000000000000000000000000000000
χ554-444-4-4-440000004-4400-400000000000004i−4i000000000000000000000000000000
χ564-444-4-4-440000004-4400-40000000000000−4i4i000000000000000000000000000000
χ574-444-4-4-44000000-44-4004000000000004-400000000000000000000000000000000
χ584-444-4-4-44000000-44-400400000000000-4400000000000000000000000000000000
χ594-44-4-444-4004i−4i−4i4i000000000000000000000000000002i−2i−2i2i2-2-2200000000000000
χ604-44-4-444-4004i−4i−4i4i00000000000000000000000000000−2i2i2i−2i-222-200000000000000
χ614-44-4-444-400−4i4i4i−4i000000000000000000000000000002i−2i−2i2i-222-200000000000000
χ624-44-4-444-400−4i4i4i−4i00000000000000000000000000000−2i2i2i−2i2-2-2200000000000000
χ634-4-4-44-444004-44-4-44400-4000-440000000000000000000000000000000000000000
χ644-4-4-44-44400-44-44-44400-40004-40000000000000000000000000000000000000000
χ658-8-8888-8-8000000000000000000000000000000000000000000000000000000000

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