Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | C3×C37×#733 ⋊ C3 |
| Sylow | C37 ⋊ #10624478 |
122 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
Polycyclic presentation:
3^6,37|a^3=f,c^3=f^2,b^a=bc,c^a=cd,d^a=df,c^b=ce,e^b=ef,g^b=g^10653 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 608);