Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×C7⋊#1308 |
| unambiguous semidirect product | (C2×C7)⋊#1308 |
| Sylow | C7 ⋊ C2×#1308 |
526 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
220 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 59969);