Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C3×C37×C9⋊C9 ⋊ C3 |
| Sylow | C37 ⋊ #10624850 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 999 |
Polycyclic presentation:
3^6,37|b^3=e^2,c^3=f^2,d^3=f^2,b^a=bd,d^a=de,e^a=ef,g^a=g^26,c^b=cf,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, 3181);