Finite Group DatabasebetaFinite Group Databasebeta| order | 6848 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D856 |
| Fitting | C4×C8×C107 ⋊ C2 |
| Sylow | C107 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
1724 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28334421, #28334423, #28334427, … |
| maximal normal subgroup of | #28334421, #28334423, #28334427, … |
| maximal quotient of | C8×D856, #28335292, #28335347, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6848, 633);