Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11729198 |
| Fitting | C22×C7×M32 ⋊ C2 |
| Sylow | C7 ⋊ C2×#2220 |
734 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
292 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 324026);