Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C1 |
| direct product | C3×C3⋊SU(3,𝔽2) |
| unambiguous semidirect product | C3⋊(C3×SU(3,𝔽2)) |
| Fitting, Sylow | C32×H(3,𝔽3) ⋊ Q8 |
217 conjugacy classes of subgroups; only the 30 normal subgroups are shown.
This group has 217 conjugacy classes of subgroups — too many to draw. Only its 30 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
90 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3548);