Finite Group DatabasebetaFinite Group Databasebeta| order | 29727 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | 3−1+2×C367 ⋊ C3 |
| Sylow | C367 ⋊ #737 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9909 |
Polycyclic presentation:
3^4,367|c^3=d,b^a=bd,e^a=e^83,e^c=e^2831375 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29727, 48);