Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #468×D53 |
| Fitting | C53×#468 ⋊ C2 |
| Sylow | C53 ⋊ C2×#468 |
544 conjugacy classes of subgroups.
448 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#468×D53, D53×#3054, D53×#3055, … |
| maximal normal subgroup of | C2×#468×D53, D53×#3054, D53×#3055, … |
| maximal quotient of | D53×#1685, D53×#1691, D53×#1697, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 14094);