Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
| direct product | C22×#90466 |
| Fitting | C22×C7×AGL(1,ℤ/8) ⋊ C2 |
| Sylow | C7 ⋊ C22×#577 |
11118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
220 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 1083386);