Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C28 |
| direct product | C22×(C2×#3633)⋊C4 |
| Fitting | C23×C4×C17 ⋊ C8 |
| Sylow | C17 ⋊ C22×#336 |
3086 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, 1118121);