Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×Dic3×AΣL(1,𝔽27) |
| unambiguous semidirect product | (C2×C3)⋊(C4×AΣL(1,𝔽27)) |
| Sylow | C3×AΣL(1,𝔽27) ⋊ C2×C4 |
535 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 535 conjugacy classes of subgroups — too many to draw. Only its 104 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 72 |
204 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1844);