Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #91159 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#91159 |
| unambiguous semidirect product | D5⋊(C2×#808) |
| Hall | C3×C5 ⋊ C22×#106 |
| Sylow | C5 ⋊ C22×#808 |
| Sylow | C3 ⋊ C22×#3993 |
1200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
144 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 138960);