Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| isoclinism | isoclinic class of D96 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C2×C3 |
| direct product | C32×D96 |
| Fitting | C33×C32 ⋊ C2 |
| Sylow | C33 ⋊ D32 |
252 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
459 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 11814);