Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×#126×#595 |
| unambiguous semidirect product | D17⋊(C4×#126) |
| Fitting | C2×C17×#126 ⋊ C4 |
| Sylow | C17 ⋊ C2×C4×#126 |
2838 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
224 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1114144);