Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C37×#6887 ⋊ C3 |
| Sylow | C37 ⋊ #10624845 |
188 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
Polycyclic presentation:
3^6,37|b^3=e^2,c^3=f,d^3=f^2,b^a=bd,d^a=de,e^a=ef,g^a=g^26,d^b=df1245 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 3151);