Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11728668 |
| Fitting | C2×C4×C7×Q16 ⋊ C2 |
| Sylow | C7 ⋊ C2×#2207 |
806 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
226 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 323812);