Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#15688960 |
| Fitting | C2×Q32×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
544 conjugacy classes — view the full character table.
| maximal subgroup of | #26136854, C4×#15688960, #26136867, … |
| maximal normal subgroup of | #26136854, C4×#15688960, #26136867, … |
| maximal quotient of | C2×#20241565, C2×#20241569, C2×#20241589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6810);