Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | #410×D53 |
| Fitting | C53×#410 ⋊ C2 |
| Sylow | C53 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
616 conjugacy classes — view the full character table.
| maximal subgroup of | D53×#1391, #27299048, D53×#1395, … |
| maximal normal subgroup of | D53×#1391, #27299048, D53×#1395, … |
| maximal quotient of | D53×#1458, D53×#1460, D53×#1461, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 12964);