Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×Q32×#595 |
| unambiguous semidirect product | D17⋊(C4×Q32) |
| Fitting | C2×C17×Q32 ⋊ C4 |
| Sylow | C17 ⋊ C2×C4×Q32 |
678 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1113838);