Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C33×C9 |
No aliases for this group.
| Fitting | C43×#6855 ⋊ C3 |
| Sylow | C43 ⋊ C9×C32⋊C9 |
662 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 662 conjugacy classes of subgroups — too many to draw. Only its 211 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 10449 |
Polycyclic presentation:
3^6,43|a^3=e,b^3=f,c^3=e,b^a=bd,g^c=g^361683 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 859);