Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C3×C9 |
No aliases for this group.
| Fitting | C43×#6864 ⋊ C3 |
| Sylow | C43 ⋊ C9×C27⋊C3 |
320 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10449 |
Polycyclic presentation:
3^6,43|a^3=d,b^3=e,d^3=f,c^a=cf,g^b=g^36,g^c=g^61683 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 1971);