Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C27 · Schur multiplier (H2) = C32 |
| direct product | C19⋊C3×C81⋊C3 |
| Fitting | C19×C81⋊C3 ⋊ C3 |
| Sylow | C19 ⋊ C3×C81⋊C3 |
164 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1539 |
891 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 3083);