Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#14533715 |
| Fitting | C23×C22⋊C4×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#2539 |
5726 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
716 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 339600);