Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×D17⋊AΣL(1,𝔽16) |
| unambiguous semidirect product | D17⋊(C2×AΣL(1,𝔽16)) |
| Fitting | C2×C17×#120 ⋊ C4 |
| Sylow | C17 ⋊ C22×AΣL(1,𝔽16) |
2774 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
164 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1113452);