Finite Group DatabasebetaFinite Group Databasebeta| order | 1458 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C33 · Schur multiplier (H2) = C33 |
| direct product | D3×#6913 |
| unambiguous semidirect product | C3⋊(C2×#6913) |
| Fitting, Sylow | C3×#6913 ⋊ C2 |
437 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 437 conjugacy classes of subgroups — too many to draw. Only its 99 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 54 |
105 conjugacy classes — view the full character table.
| maximal subgroup of | #72243648, D3×#10624934, #72243736, … |
| maximal normal subgroup of | D3×#10624934, D3×#6913⋊C2 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1458, 1711);