Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C2×#11741555 |
| Fitting | C22×C7×H(5,𝔽2) ⋊ C2 |
| Sylow | C7 ⋊ C2×#3026 |
5318 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
262 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 1036296);