Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16810672 |
| Sylow | C53 ⋊ C2×#430 |
460 conjugacy classes of subgroups.
1084 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27290181, #27290183, #27290188, … |
| maximal normal subgroup of | #27290181, #27290183, #27290188, … |
| maximal quotient of | C2×#20273467, #27353076, C2×#20273482, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 13117);