Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×AGL(1,ℤ/8)×D19 |
| Fitting | C2×C19×AGL(1,ℤ/8) ⋊ C2 |
| Sylow | C19 ⋊ C22×AGL(1,ℤ/8) |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 304 |
242 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 19240);