Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26 |
| direct product | D3×D5×#97 |
| Fitting | C3×C5×#97 ⋊ C22 |
| Hall | C3×C5 ⋊ C22×#97 |
| Sylow | C5 ⋊ C2×D3×#97 |
| Sylow | C3 ⋊ C2×D5×#97 |
1360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | D3×AGL(1,𝔽5)×#97 |
| maximal normal subgroup of | D3×AGL(1,𝔽5)×#97 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 136903);