Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C33×C9 · Schur multiplier (H2) = C34×C9 |
| direct product | C3×#17987403 |
| Fitting | C3×C92×C19 ⋊ C3 |
| Sylow | C19 ⋊ C3×#6887 |
1052 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4617 |
1755 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 3266);