Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×Q16×#595 |
| unambiguous semidirect product | D17⋊(C2×C4×Q16) |
| Fitting | C22×Q16×C17 ⋊ C4 |
| Sylow | C17 ⋊ C22×C4×Q16 |
2830 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
224 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1114997);