Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#11731705 |
| Sylow | C7 ⋊ C2×#2320 |
2438 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1792 |
256 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 328225);