Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | D5×#5727 |
| Fitting | C3×C5×C4⋊Q8 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×D4×Q8 |
| Sylow | C5 ⋊ C2×#5727 |
| Sylow | C3 ⋊ D4×Q8×D5 |
3136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
156 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 208624);