Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C82 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×C7⋊#1273 |
| unambiguous semidirect product | (C2×C7)⋊#1273 |
| Sylow | C7 ⋊ C2×#1273 |
982 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1792 |
544 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 58947);