Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×#72215648 |
| Fitting | C2×#63076 ⋊ D3 |
23798 conjugacy classes of subgroups.
| transitive degree | μt(G) = 64 |
172 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72215818, C2×#72240988, #72343876, … |
| maximal normal subgroup of | C2×#72215818, C2×#72240988, #72343876, … |
Past the SmallGroups library coverage — no SmallGroups id.