Finite Group DatabasebetaFinite Group Databasebeta| order | 6784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic848 |
| Sylow | C53 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
1702 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27271972, #27271974, #27271984, … |
| maximal normal subgroup of | #27271972, #27271974, #27271984, … |
| maximal quotient of | C2×#20272897, C2×#20272915, C4×Dic848, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6784, 6815);