Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42×C9 · Schur multiplier (H2) = C25 |
| direct product | C2×C9×C3⋊#95 |
| unambiguous semidirect product | (C2×C3)⋊(C9×#95) |
| Sylow | C3×C9 ⋊ C2×#95 |
1226 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
648 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 9580);