Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C215 |
| direct product | C2×D3×#2358 |
| Fitting | C2×C3×#2358 ⋊ C2 |
| Sylow | C3 ⋊ C22×#2358 |
51236 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
300 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.