Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C29×C4 |
| direct product | C22×C3×#4020 |
| Fitting | C22×C3×C42×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C22×#127 |
| Sylow | C5 ⋊ C22×C3×#127 |
6000 conjugacy classes of subgroups; only the 1610 normal subgroups are shown.
This group has 6000 conjugacy classes of subgroups — too many to draw. Only its 1610 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
552 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 205663);