Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4 |
| direct product | C22×#89632 |
| Fitting | C22×C7×#106 ⋊ C2 |
| Sylow | C7 ⋊ C22×#427 |
3006 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
280 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 1033215);