Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C212 |
| direct product | C2×#72231720 |
| Fitting | C2×C3×#12705 ⋊ C2 |
| Sylow | C3 ⋊ C2×#511790 |
At least 6790 conjugacy classes of subgroups; only the 1287 normal subgroups are shown.
174 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D3×#511790, #72271584, #72271684 |
| maximal normal subgroup of | C2×D3×#511790, #72271584, #72271684 |
Past the SmallGroups library coverage — no SmallGroups id.