Finite Group DatabasebetaFinite Group Databasebeta| order | 1488 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C1 |
| direct product | Q16×C31⋊C3 |
| unambiguous semidirect product | (Q16×C31)⋊C3 |
| Fitting, Hall | Q16×C31 ⋊ C3 |
| Sylow | C31 ⋊ C3×Q16 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
91 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1488, 55);