Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×#91323 |
| Hall | C3×C5 ⋊ C22×C4×Q8 |
| Sylow | C5 ⋊ C22×C4×Dic6 |
| Sylow | C3 ⋊ C22×#4033 |
3328 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1920 |
288 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 204559);