Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | #482×D53 |
| Fitting | C53×#482 ⋊ C2 |
| Sylow | C53 ⋊ C2×#482 |
468 conjugacy classes of subgroups.
532 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#482×D53, D53×#3091, D53×#3093, … |
| maximal normal subgroup of | C2×#482×D53, D53×#3091, D53×#3093, … |
| maximal quotient of | D53×#1825, D53×#1854, D53×#1875, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 14390);