Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C4 |
| direct product | D5×#4545 |
| Hall | C3×C5 ⋊ C2×#353 |
| Sylow | C5 ⋊ C2×#4545 |
| Sylow | C3 ⋊ D5×#353 |
736 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 100 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 120 |
108 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 39056);