Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| isoclinism | isoclinic class of #6226 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C3 |
| direct product | C22×C4⋊(C3⋊Dic9) |
| Sylow | C3×C9 ⋊ C22×C4⋊C4 |
2090 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1728 |
456 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 20461);