Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic424 |
| Sylow | C53 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
1708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27301169, #27301171, #27301204, … |
| maximal normal subgroup of | #27301169, #27301171, #27301204, … |
| maximal quotient of | C22×#16810428, C22×#16810449, C2×C4×Dic424, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 17623);