Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4 |
| direct product | C4×#90216 |
| Fitting | C4×C7×#117 ⋊ C2 |
| Sylow | C7 ⋊ C4×#535 |
3602 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, 328600);