Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C32×C9 |
| direct product | C3×#17987382 |
| Fitting | C3×C19×#733 ⋊ C3 |
| Sylow | C19 ⋊ C3×#6881 |
224 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
363 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 3135);