Finite Group Databasebeta

← Group #5418

Character table — Group #5418

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size111166666688881212111166666688881212
order12224488883666442222448888666644
χ111111111111111111111111111111111
χ2111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ31-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i
χ41-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii
χ52222220000-1-1-1-1002222220000-1-1-1-100
χ622-2-2002−22−2-111-10022-2-2002−22−2-111-100
χ722-2-200−22−22-111-10022-2-200−22−22-111-100
χ82-22-22-20000-1-111002-22-22-20000-1-11100
χ92-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-1100
χ102-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-1100
χ113333-1-111110000-1-13333-1-111110000-1-1
χ123333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011
χ133-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii
χ143-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i
χ1544-4-40000001-1-110044-4-40000001-1-1100
χ164-4-440000001-11-1004-4-440000001-11-100
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ191-11-11-1ii−i−i11-1-1i−i-11-11-11−i−iii-1-111−ii
χ201-11-11-1−i−iii11-1-1−ii-11-11-11ii−i−i-1-111i−i
χ212222220000-1-1-1-100-2-2-2-2-2-20000111100
χ2222-2-2002−22−2-111-100-2-22200−22−221-1-1100
χ2322-2-200−22−22-111-100-2-222002−22−21-1-1100
χ242-22-22-20000-1-11100-22-22-22000011-1-100
χ252-2-2200i2−i2−i2i2-11-1100-222-200−i2i2i2−i21-11-100
χ262-2-2200−i2i2i2−i2-11-1100-222-200i2−i2−i2i21-11-100
χ273333-1-111110000-1-1-3-3-3-311-1-1-1-1000011
χ283333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1
χ293-33-3-11ii−i−i0000−ii-33-331-1−i−iii0000i−i
χ303-33-3-11−i−iii0000i−i-33-331-1ii−i−i0000−ii
χ3144-4-40000001-1-1100-4-444000000-111-100
χ324-4-440000001-11-100-444-4000000-11-1100

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