Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×C4×#6471 |
| Fitting | C2×C4×C7×M16 ⋊ C2 |
| Sylow | C7 ⋊ C2×C4×AGL(1,ℤ/8) |
3242 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
328 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 1033634);