Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of D3×D9 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C9 · Schur multiplier (H2) = C2 |
| direct product | D3×C9×Dic9 |
| derived | C3×C9 ⋊ C2×C4×C9 |
| Sylow | C3×C92 ⋊ C2×C4 |
278 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 75 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 72 |
324 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D3×#11757569, D3×#10619528, D3×C9×#611, … |
| maximal normal subgroup of | D3×#11757569, D3×#10619528, D3×C9×#611, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1139);