Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C3×C92 |
No aliases for this group.
| Fitting | C92×C37 ⋊ C9 |
| Sylow | C37 ⋊ #10624544 |
440 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
Polycyclic presentation:
3^6,37|a^3=e,b^3=f,c^3=d,b^a=bd,g^b=g^16,g^f=g^26621 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4206);