Finite Group DatabasebetaFinite Group Databasebeta| order | 1458 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C9 |
| direct product | D3×#6881 |
| unambiguous semidirect product | C3⋊(C2×#6881) |
| Fitting, Sylow | C3×#6881 ⋊ C2 |
119 conjugacy classes of subgroups.
| transitive degree | μt(G) = 54 |
57 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1458, 1378);