Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | C3×#10615841 |
| Fitting | C2×C3×C5×H(5,𝔽2) ⋊ C2 |
| Hall | C3×C5 ⋊ #3026 |
| Sylow | C5 ⋊ C3×#3026 |
1600 conjugacy classes of subgroups; only the 322 normal subgroups are shown.
This group has 1600 conjugacy classes of subgroups — too many to draw. Only its 322 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
291 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 151403);