Finite Group DatabasebetaFinite Group Databasebeta| order | 29727 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C32 |
| direct product | C3×#23755307 |
| Fitting | C3×C9×C367 ⋊ C3 |
| Sylow | C367 ⋊ C3×3−1+2 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9909 |
3327 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29727, 44);