Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D3×D5×#99 |
| Fitting | C3×C5×#99 ⋊ C22 |
| Hall | C3×C5 ⋊ C22×#99 |
| Sylow | C5 ⋊ C2×D3×#99 |
| Sylow | C3 ⋊ C2×D5×#99 |
2224 conjugacy classes of subgroups.
| transitive degree | μt(G) = 120 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | D3×D5×B(4,𝔽2), D3×AGL(1,𝔽5)×#99, D3×#10603919 |
| maximal normal subgroup of | D3×D5×B(4,𝔽2), D3×AGL(1,𝔽5)×#99, D3×#10603919 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 137592);