Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C3×C9 |
No aliases for this group.
| Sylow | C43 ⋊ #10624810 |
238 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 55 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 3483 |
Polycyclic presentation:
3^6,43|b^3=f,c^3=d,b^a=bd,c^a=ce,g^b=g^36,e^c=ef,g^c=g^6787 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 2929);