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 ⋊ #10624507 |
232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 999 |
Polycyclic presentation:
3^6,37|a^3=d,d^3=f,b^a=bc,c^a=ce,e^a=ef,d^b=df^2,g^b=g^26669 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 730);