Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C37×#6894 ⋊ C3 |
| Sylow | C37 ⋊ #10624872 |
824 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
Polycyclic presentation:
3^6,37|a^3=f,d^3=e,b^a=be,c^a=cf,g^b=g^10,g^d=g^26765 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 3350);