Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C2×#11737749 |
| Fitting | C2×C7×B(4,𝔽2) ⋊ C2 |
| Sylow | C7 ⋊ C2×#3025 |
5086 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
160 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 1036288);