Finite Group DatabasebetaFinite Group Databasebeta| order | 1458 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting, Sylow | #10624729 ⋊ C2 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 162 |
Polycyclic presentation:
2,3^6|b^3=f,c^3=e,d^3=f,f^3=g,c^a=c^2e^2,e^a=e^2,c^b=ce,d^b=dg^2126 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1458, 1104);