Finite Group DatabasebetaFinite Group Databasebeta| order | 2880 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | D5×#64241 |
| Fitting | C22×C32×C5 ⋊ C2×D4 |
| Hall | C32×C5 ⋊ C2×#120 |
| Sylow | C32 ⋊ D5×#120 |
| Sylow | C5 ⋊ C2×#64241 |
2308 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 2308 conjugacy classes of subgroups — too many to draw. Only its 142 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 60 |
108 conjugacy classes — view the full character table.
| maximal subgroup of | AGL(1,𝔽5)×#64241 |
| maximal normal subgroup of | AGL(1,𝔽5)×#64241 |
Past the SmallGroups library coverage — no SmallGroups id.