Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C37 ⋊ #10624510 |
200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
Polycyclic presentation:
3^6,37|a^3=d,d^3=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^34,c^b=cf,d^b=df^2,g^b=g^26,g^d=g^10189 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4149);