Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | C37×#6869 ⋊ C3 |
| Sylow | C37 ⋊ #10624530 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
Polycyclic presentation:
3^6,37|a^3=d,c^3=f^2,d^3=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^26,c^b=cef,e^b=ef,g^b=g^10669 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 819);