Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C28 |
| direct product | C3×D5×#564 |
| Fitting | C3×C5×#564 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#564 |
| Sylow | C5 ⋊ C2×C3×#564 |
1792 conjugacy classes of subgroups; only the 918 normal subgroups are shown.
This group has 1792 conjugacy classes of subgroups — too many to draw. Only its 918 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
228 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 221277);