Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C23×C3×C4 |
| direct product | C3×C22⋊C4×C3⋊Dic3 |
| Sylow | C33 ⋊ C4×C22⋊C4 |
2076 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, 29042);