Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C33 · Schur multiplier (H2) = C2×C32 |
| direct product | S4×#737 |
| unambiguous semidirect product | A4⋊(C2×#737) |
| Fitting | C22×#737 ⋊ D3 |
537 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 537 conjugacy classes of subgroups — too many to draw. Only its 116 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
165 conjugacy classes — view the full character table.
| maximal subgroup of | S4×3−1+4 |
| maximal normal subgroup of | S4×3−1+4 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3583);