Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16810365 |
| Sylow | C53 ⋊ C2×#330 |
232 conjugacy classes of subgroups.
766 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16810365, #330×Dic53, #27275018, … |
| maximal normal subgroup of | C4×#16810365, #330×Dic53, #27275018, … |
| maximal quotient of | C2×#20272538, #27272064, #27272318, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 3094);