Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C33 · Schur multiplier (H2) = C2×C32 |
| direct product | D3×#66436 |
| unambiguous semidirect product | C3⋊(C2×#66436) |
| Fitting | C22×C32×C9 ⋊ C2×C3 |
533 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 533 conjugacy classes of subgroups — too many to draw. Only its 108 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
180 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3630);