Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C82 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×(C2×#3633)⋊C8 |
| Fitting | C22×C8×C17 ⋊ C8 |
| Sylow | C17 ⋊ C2×#1273 |
982 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, 1116805);