Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C9 · Schur multiplier (H2) = C3 |
| direct product | Dic6×C9⋊C9 |
| unambiguous semidirect product | C3⋊(Q8×C9⋊C9) |
| unambiguous semidirect product | (C9×Dic6)⋊C9 |
| Sylow | C3×C9⋊C9 ⋊ Q8 |
288 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 126 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 648 |
297 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1684);