Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#11723723 |
| Sylow | C33 ⋊ C22×C22⋊C4 |
3842 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
192 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 44850);