Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11751013 |
| Fitting | C2×C3×C5×D16 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#508 |
| Sylow | C5 ⋊ C2×#4912 |
| Sylow | C3 ⋊ C2×#65201 |
736 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 167 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
198 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 203963);