Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #344×D53 |
| Fitting | C53×#344 ⋊ C2 |
| Sylow | C53 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
616 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#344×D53, #27381547, D53×#1757, … |
| maximal normal subgroup of | C2×#344×D53, #27381547, D53×#1757, … |
| maximal quotient of | D53×#1281, #27273721, #27273724, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 4250);