Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×#14545326 |
| unambiguous semidirect product | D17⋊#2378 |
| Fitting | C2×C17×C22⋊Q8 ⋊ C4 |
| Sylow | C17 ⋊ C2×#2378 |
2566 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
188 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1114452);