Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16810588 |
| Fitting | C2×C22⋊C8×C53 ⋊ C2 |
| Sylow | C53 ⋊ C2×#408 |
792 conjugacy classes of subgroups.
1096 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27293155, C4×#16810588, #27381619, … |
| maximal normal subgroup of | #27293155, C4×#16810588, #27381619, … |
| maximal quotient of | C2×#20273060, C2×#20273062, C2×#20273065, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 12948);