Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11748293 |
| Fitting | C2×C3×C5×Q16 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#509 |
| Sylow | C5 ⋊ C2×#4914 |
| Sylow | C3 ⋊ C2×#65203 |
800 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 800 conjugacy classes of subgroups — too many to draw. Only its 156 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
126 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 204070);