Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C3×C92 |
No aliases for this group.
| Sylow | C43 ⋊ #10624544 |
440 conjugacy classes of subgroups.
| transitive degree | μt(G) = 31347 |
Polycyclic presentation:
3^6,43|a^3=e,b^3=f,c^3=d,b^a=bd,g^b=g^363699 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 858);