Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#16811003 |
| Sylow | C53 ⋊ C2×#494 |
552 conjugacy classes of subgroups.
1708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27279397, #27283331, #27283333, … |
| maximal normal subgroup of | #27279397, #27283331, #27283333, … |
| maximal quotient of | C2×#20274312, C2×#20274325, C2×#20274333, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 14926);