Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11746779 |
| unambiguous semidirect product | D5⋊#4564 |
| Fitting | C2×C3×C5×Q16 ⋊ C4 |
| Hall | C3×C5 ⋊ C2×#358 |
| Sylow | C5 ⋊ C2×#4564 |
| Sylow | C3 ⋊ C2×#64908 |
464 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
114 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 39519);