Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C8 · Schur multiplier (H2) = C210 |
| direct product | C2×D3×#12067 |
| Fitting | C2×C3×#12067 ⋊ C2 |
| Sylow | C3 ⋊ C22×#12067 |
7050 conjugacy classes of subgroups.
| transitive degree | μt(G) = 768 |
276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3⋊D3×#12067, C2×D3×AGL(1,ℤ/32) |
| maximal normal subgroup of | C2×D3×AGL(1,ℤ/32) |
| maximal quotient of | C2×C3⋊D3×#12067, C2×D3×AGL(1,ℤ/32) |
Past the SmallGroups library coverage — no SmallGroups id.