Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C2×#11741402 |
| Fitting | C22×C7×AGL(1,ℤ/8) ⋊ C2 |
| Sylow | C7 ⋊ C2×#3021 |
4934 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
190 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 1036219);