Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#14530783 |
| Fitting | C2×C17×B(4,𝔽2) ⋊ C2 |
| Sylow | C17 ⋊ C2×#2199 |
1392 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
290 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 323595);