Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×D5⋊(C4⋊(C3⋊C8)) |
| unambiguous semidirect product | D5⋊(C2×C4⋊(C3⋊C8)) |
| Hall | C3×C5 ⋊ C22×C4⋊C8 |
| Sylow | C5 ⋊ C22×C4⋊(C3⋊C8) |
| Sylow | C3 ⋊ C2×D5⋊(C4⋊C8) |
1280 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 138673);