Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C24 |
| direct product | D7×#1375 |
| Fitting | C7×#1375 ⋊ C2 |
| Sylow | C7 ⋊ C2×#1375 |
630 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
220 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 84413);