Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C3 |
| direct product | C2×#11720575 |
| Sylow | C3×C9 ⋊ C2×#100 |
930 conjugacy classes of subgroups.
| transitive degree | μt(G) = 432 |
282 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 10875);