Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C2×C32 |
| direct product | C3×C4⋊#4169 |
| unambiguous semidirect product | C4⋊(C3×#4169) |
| Fitting | C3×C4×C32⋊C9 ⋊ C2 |
| Sylow | C3×C32⋊C9 ⋊ D4 |
502 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 502 conjugacy classes of subgroups — too many to draw. Only its 96 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
225 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1680);