Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C22×#85443 |
| Fitting | C24×M16 ⋊ D3 |
12371 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
128 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72240986, C22×S4×AGL(1,ℤ/8) |
| maximal normal subgroup of | C22×S4×AGL(1,ℤ/8) |
Past the SmallGroups library coverage — no SmallGroups id.