Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
| direct product | C3×#17987574 |
| Fitting | C3×C19×C27 ⋊ C9 |
| Sylow | C19 ⋊ C3×#6875 |
212 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
267 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 4314);