Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#14545224 |
| unambiguous semidirect product | D17⋊#2276 |
| Fitting | C2×C4×Q8×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#2276 |
3654 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
296 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1114106);