Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | #485×D53 |
| Fitting | C53×#485 ⋊ C2 |
| Sylow | C53 ⋊ C2×#485 |
416 conjugacy classes of subgroups.
532 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#485×D53, D53×#3091, D53×#3093, … |
| maximal normal subgroup of | C2×#485×D53, D53×#3091, D53×#3093, … |
| maximal quotient of | D53×#1825, D53×#1854, D53×#1873, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 14398);