Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| isoclinism | isoclinic class of #213 |
| automorphism | ? |
| homology | Abelianization (H1) = C42×C9 · Schur multiplier (H2) = C23 |
| direct product | C9×#4529 |
| Sylow | C3×C9 ⋊ #340 |
434 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
432 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 1627);