Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C37×#6887 ⋊ C3 |
| Sylow | C37 ⋊ #10624904 |
622 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8991 |
Polycyclic presentation:
3^6,37|b^3=f,d^3=e,b^a=be,c^a=cf,g^a=g^10,d^b=de,g^d=g^261309 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 3703);