Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | Dic9×#208 |
| Sylow | C3×C9 ⋊ C4×M16 |
494 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
216 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 5408);