Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic424 |
| Sylow | C53 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
1708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27271544, #27271546, #27271550, … |
| maximal normal subgroup of | #27271544, #27271546, #27271550, … |
| maximal quotient of | C8×Dic424, #27296010, #27296084, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 6370);