Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | Dic7×#496 |
| Sylow | C7 ⋊ C4×#496 |
1262 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
160 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 178111);