Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16810463 |
| Sylow | C53 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
610 conjugacy classes — view the full character table.
| maximal subgroup of | #27304675, C4×#16810463, #27304687, … |
| maximal normal subgroup of | #27304675, C4×#16810463, #27304687, … |
| maximal quotient of | C2×#20272895, C2×#20272896, C2×#20272914, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 6814);