Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4×C9 · Schur multiplier (H2) = C27 |
| direct product | C22×C9×#217 |
| Sylow | C3×C9 ⋊ C22×C22⋊C4 |
2770 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
648 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 19823);