Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#15688961 |
| Sylow | C47 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
544 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#15688961, #26136860, #26136866, … |
| maximal normal subgroup of | C4×#15688961, #26136860, #26136866, … |
| maximal quotient of | C2×#20241566, C2×#20241568, C2×#20241589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6811);