Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#89971 |
| Fitting | C4×C7×AGL(1,ℤ/8) ⋊ C2 |
| Sylow | C7 ⋊ C4×#472 |
946 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
196 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 176444);