Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C22⋊C4×#3633 |
| Fitting | C2×C22⋊C4×C17 ⋊ C8 |
| Sylow | C17 ⋊ C2×C8×C22⋊C4 |
2046 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
200 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1118124);