Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16810451 |
| Sylow | C53 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
1708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27271800, #27271801, #27271806, … |
| maximal normal subgroup of | #27271800, #27271801, #27271806, … |
| maximal quotient of | C2×#20272789, #27295737, #27295777, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 6290);