Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of D3×A4 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C27 · Schur multiplier (H2) = C2×C3 |
| direct product | C3×D3×C22⋊C27 |
| unambiguous semidirect product | C3⋊(C2×C3×C22⋊C27) |
| unambiguous semidirect product | (C22×C3×D3)⋊C27 |
| derived | C22×C3 ⋊ C2×C3×C27 |
251 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 251 conjugacy classes of subgroups — too many to draw. Only its 72 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 324 |
324 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2560);