Finite Group Databasebeta

← Group #10593216

Character table — Group #10593216

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11116666668888121222221212121212121616161624243333181818181818242424243636
order12224488883666443666121224242424366612122222448888666644
χ1111111111111111111111111111111111111111111111111
χ2111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ31-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i
χ41-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii
χ52222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100
χ622-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-100
χ722-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-100
χ82-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-11100
χ92-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-1100
χ102-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-1100
χ113333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1
χ123333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011
χ133-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii
χ143-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i
χ1544-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-1100
χ164-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-100
χ1711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ191-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i-11-11-11−i−iii-1-111−ii
χ201-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii-11-11-11ii−i−i-1-111i−i
χ212222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100
χ2222-2-2002−22−2-111-10022-2-2002−22−2-111-100-2-22200−22−221-1-1100
χ2322-2-200−22−22-111-10022-2-200−22−22-111-100-2-222002−22−21-1-1100
χ242-22-22-20000-1-111002-22-22-20000-1-11100-22-22-22000011-1-100
χ252-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-1100-222-200−i2i2i2−i21-11-100
χ262-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-1100-222-200i2−i2−i2i21-11-100
χ273333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011
χ283333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1
χ293-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii-33-331-1−i−iii0000i−i
χ303-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i-33-331-1ii−i−i0000−ii
χ3144-4-40000001-1-110044-4-40000001-1-1100-4-444000000-111-100
χ324-4-440000001-11-1004-4-440000001-11-100-444-4000000-11-1100
χ332222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222222-2-2-2-22222-2-2-1-1-1-1-1-11111-1-1-1-1110000000000000000
χ352-22-22-22i2i−2i−2i22-2-22i−2i-11-11-11−i−iii-1-111−ii0000000000000000
χ362-22-22-2−2i−2i2i2i22-2-2−2i2i-11-11-11ii−i−i-1-111i−i0000000000000000
χ374444440000-2-2-2-200-2-2-2-2-2-200001111000000000000000000
χ3844-4-40022−2222−22-222-200-2-22200−22−221-1-11000000000000000000
χ3944-4-400−2222−2222-222-200-2-222002−22−21-1-11000000000000000000
χ404-44-44-40000-2-22200-22-22-22000011-1-1000000000000000000
χ414-4-44002i2−2i2−2i22i2-22-2200-222-200−i2i2i2−i21-11-1000000000000000000
χ424-4-4400−2i22i22i2−2i2-22-2200-222-200i2−i2−i2i21-11-1000000000000000000
χ436666-2-222220000-2-2-3-3-3-311-1-1-1-10000110000000000000000
χ446666-2-2-2-2-2-2000022-3-3-3-31111110000-1-10000000000000000
χ456-66-6-222i2i−2i−2i0000−2i2i-33-331-1−i−iii0000i−i0000000000000000
χ466-66-6-22−2i−2i2i2i00002i−2i-33-331-1ii−i−i0000−ii0000000000000000
χ4788-8-80000002-2-2200-4-444000000-111-1000000000000000000
χ488-8-880000002-22-200-444-4000000-11-11000000000000000000

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