Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic107 |
| Sylow | C107 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
770 conjugacy classes — view the full character table.
| maximal subgroup of | #28338305, D16×Dic107, SD32×Dic107, … |
| maximal normal subgroup of | #28338305, D16×Dic107, SD32×Dic107, … |
| maximal quotient of | D8×C107⋊C8, #28335291, #28335346, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 632);