Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Sylow | C37 ⋊ #10624891 |
602 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8991 |
Polycyclic presentation:
3^6,37|b^3=f,c^3=e,b^a=be,c^a=cf,d^a=de,c^b=ce,g^b=g^26,g^c=g^10717 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 3509);