Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C27 |
| direct product | C2×#72236859 |
| Fitting, Sylow | C2×#6629045 ⋊ C3 |
14916 conjugacy classes of subgroups.
| transitive degree | μt(G) = 64 |
118 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72240989, C2×#72240988, C2×#72240977 |
| maximal normal subgroup of | C2×#72240989, C2×#72240988, C2×#72240977 |
Past the SmallGroups library coverage — no SmallGroups id.