Finite Group DatabasebetaFinite Group Databasebeta| order | 29727 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C27×C367 ⋊ C3 |
| Sylow | C367 ⋊ C27⋊C3 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9909 |
Polycyclic presentation:
3^4,367|a^3=c,c^3=d,b^a=bd,e^b=e^833327 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29727, 26);