Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#11728766 |
| Fitting | C2×C7×#459 ⋊ C2 |
| Sylow | C7 ⋊ C2×#1625 |
1322 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
166 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 145264);