Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11726504 |
| Fitting | C2×C7×#339 ⋊ C2 |
| Sylow | C7 ⋊ C2×#1932 |
1046 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
232 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 172150);