Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3×C9 |
No aliases for this group.
| Fitting | C9×C27×C37 ⋊ C3 |
| Sylow | C37 ⋊ #10624535 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
Polycyclic presentation:
3^6,37|b^3=d^2e,c^3=e^2f,d^3=f^2,b^a=bc,c^a=cd,d^a=de,e^a=ef,g^a=g^263005 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 833);