Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic428 |
| Sylow | C107 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1724 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28334424, #28334426, #28334430, … |
| maximal normal subgroup of | #28334424, #28334426, #28334430, … |
| maximal quotient of | C8×Dic428, #28335313, #28335359, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 645);