Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C22×SD16×S4 |
| Fitting | C24×SD16 ⋊ D3 |
12303 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72240995, C22×S4×AGL(1,ℤ/8) |
| maximal normal subgroup of | C22×S4×AGL(1,ℤ/8) |
Past the SmallGroups library coverage — no SmallGroups id.