Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of Dic18 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C9 · Schur multiplier (H2) = C2×C3 |
| direct product | C3×C9×#611 |
| Fitting | C22×C3×C92 ⋊ C2 |
| Sylow | C3×C92 ⋊ D4 |
480 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 120 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
567 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#14517439, C3×#13047160, D3×C9×#611, … |
| maximal normal subgroup of | C3×#14517439, C3×#13047160, D3×C9×#611, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1796);