Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #467×D53 |
| Fitting | C53×#467 ⋊ C2 |
| Sylow | C53 ⋊ C2×#467 |
512 conjugacy classes of subgroups.
616 conjugacy classes — view the full character table.
| maximal subgroup of | D53×#1348, #27294331, D53×#1350, … |
| maximal normal subgroup of | D53×#1348, #27294331, D53×#1350, … |
| maximal quotient of | D53×#1669, D53×#1675, D53×#1683, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 14080);