Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4×C5 · Schur multiplier (H2) = C26 |
| direct product | C5×D3×#383 |
| Fitting | C3×C5×#383 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#383 |
| Sylow | C3 ⋊ C2×C5×#383 |
1248 conjugacy classes of subgroups; only the 442 normal subgroups are shown.
This group has 1248 conjugacy classes of subgroups — too many to draw. Only its 442 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
420 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 45699);