Finite Group DatabasebetaFinite Group Databasebeta| order | 2880 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32×C4 · Schur multiplier (H2) = C25×C3 |
| direct product | C32×#65779 |
| Fitting | C2×C32×C5×D4 ⋊ C4 |
| Hall | C32×C5 ⋊ #386 |
| Sylow | C5 ⋊ C32×#386 |
1716 conjugacy classes of subgroups.
| transitive degree | μt(G) = 360 |
342 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C32×AGL(1,𝔽5)×#120, #72230349, C3⋊D3×#65779 |
| maximal normal subgroup of | C32×AGL(1,𝔽5)×#120, #72230349, C3⋊D3×#65779 |
Past the SmallGroups library coverage — no SmallGroups id.