Finite Group DatabasebetaFinite Group Databasebeta| order | 1728 |
| isoclinism | isoclinic class of D3×A4 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C9 · Schur multiplier (H2) = C24 |
| direct product | C2×C4×D3×C22⋊C9 |
| unambiguous semidirect product | (C23×C4×D3)⋊C9 |
| derived | C22×C3 ⋊ C22×C4×C9 |
1226 conjugacy classes of subgroups.
| transitive degree | μt(G) = 144 |
288 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1728, 30667);