Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4×C9 · Schur multiplier (H2) = C2×C32 |
| direct product | C2×Dic3×C32⋊C9 |
| unambiguous semidirect product | (C2×C3)⋊(C4×C32⋊C9) |
| unambiguous semidirect product | (C2×C32×Dic3)⋊C9 |
| Sylow | C3×C32⋊C9 ⋊ C2×C4 |
613 conjugacy classes of subgroups; only the 182 normal subgroups are shown.
This group has 613 conjugacy classes of subgroups — too many to draw. Only its 182 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
396 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1800);