Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C35 |
No aliases for this group.
| Fitting | C32×H(3,𝔽3)×C43 ⋊ C3 |
| Sylow | C43 ⋊ #10624735 |
596 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3483 |
Polycyclic presentation:
3^6,43|b^a=bd,c^a=ce,d^a=df,g^a=g^36,c^b=cf1443 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 2280);