Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D3×#65690 |
| Fitting | C3×C42×C5 ⋊ C2×C4 |
| Hall | C3×C5 ⋊ C2×#383 |
| Sylow | C5 ⋊ D3×#383 |
| Sylow | C3 ⋊ C2×#65690 |
1248 conjugacy classes of subgroups; only the 260 normal subgroups are shown.
This group has 1248 conjugacy classes of subgroups — too many to draw. Only its 260 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
132 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 45721);