Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C27 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | C37×C81⋊C3 ⋊ C3 |
| Sylow | C37 ⋊ #10624833 |
154 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8991 |
Polycyclic presentation:
3^6,37|a^3=d,d^3=e,e^3=f,g^a=g^10,c^b=cf,g^c=g^261485 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 3089);