Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C24×C3×C4 |
| direct product | C2×C3×#64086 |
| Sylow | C33 ⋊ C2×#117 |
2508 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 45294);