Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D4×#10587548 |
| Fitting | D42×C17 ⋊ C4 |
| Sylow | C17 ⋊ D4×#104 |
1608 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
170 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1109734);