Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C27 · Schur multiplier (H2) = C23×C3 |
| direct product | C22×C3×D3×C27 |
| unambiguous semidirect product | C3⋊(C23×C3×C27) |
| unambiguous semidirect product | (C2×C3)⋊(C22×C3×C27) |
| Fitting | C22×C32×C27 ⋊ C2 |
| derived | C3 ⋊ C23×C3×C27 |
| Sylow | C32×C27 ⋊ C23 |
558 conjugacy classes of subgroups; only the 294 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 294 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 648 |
972 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2868);