Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C92 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Sylow | C43 ⋊ #10624472 |
170 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3483 |
Polycyclic presentation:
3^6,43|a^3=d,b^3=e,c^3=f^2,e^3=f,b^a=bc,c^a=cf,e^a=ef^2,g^a=g^6,d^b=df1491 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 585);