Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C211 |
| direct product | C2×D3×#1896 |
| Fitting | C2×C3×#1896 ⋊ C2 |
| Sylow | C3 ⋊ C22×#1896 |
19100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D3×#23906 |
| maximal normal subgroup of | C2×D3×#23906 |
Past the SmallGroups library coverage — no SmallGroups id.