Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic107 |
| Sylow | C107 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
770 conjugacy classes — view the full character table.
| maximal subgroup of | #28338310, SD32×Dic107, #28338317, … |
| maximal normal subgroup of | #28338310, SD32×Dic107, #28338317, … |
| maximal quotient of | Q16×C107⋊C8, #28335312, #28335358, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 644);