Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#15688958 |
| Fitting | C2×D16×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×D32 |
120 conjugacy classes of subgroups.
544 conjugacy classes — view the full character table.
| maximal subgroup of | #26136849, C4×#15688958, #26136878, … |
| maximal normal subgroup of | #26136849, C4×#15688958, #26136878, … |
| maximal quotient of | C2×#20241565, C2×#20241566, C2×#20241587, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6807);