Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C81 · Schur multiplier (H2) = C32 |
| unambiguous semidirect product | C32⋊#15688534 |
| Sylow | C37 ⋊ C32⋊C81 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8991 |
Polycyclic presentation:
3^6,37|a^3=d,d^3=e,e^3=f,b^a=bc,g^a=g^16,g^d=g^26621 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4129);