Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C32×C27×C43 ⋊ C3 |
| Sylow | C43 ⋊ C27⋊H(3,𝔽3) |
256 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10449 |
Polycyclic presentation:
3^6,43|a^3=e,c^3=e,e^3=f,b^a=bd,c^a=cf,g^a=g^363555 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 2137);