Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C27 |
| direct product | C2×#72236864 |
| Fitting, Sylow | C2×#6573729 ⋊ C3 |
15256 conjugacy classes of subgroups.
| transitive degree | μt(G) = 64 |
124 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72240992, C2×#72240991, C2×#72240977 |
| maximal normal subgroup of | C2×#72240992, C2×#72240991, C2×#72240977 |
Past the SmallGroups library coverage — no SmallGroups id.