Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25×C4 |
| direct product | C3×#10615857 |
| Fitting | C3×C5×#585 ⋊ C2 |
| Hall | C3×C5 ⋊ #3027 |
| Sylow | C5 ⋊ C3×#3027 |
1544 conjugacy classes of subgroups; only the 322 normal subgroups are shown.
This group has 1544 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, 151446);