Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16811423 |
| Fitting | C22×M16×C53 ⋊ C2 |
| Sylow | C53 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
1084 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27290862, #27290866, #27290869, … |
| maximal normal subgroup of | #27290862, #27290866, #27290869, … |
| maximal quotient of | C2×#20283235, C2×#20283305, C2×#20283517, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 19257);