Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#15688963 |
| Sylow | C47 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
544 conjugacy classes — view the full character table.
| maximal subgroup of | #26136861, C4×#15688963, #26136873, … |
| maximal normal subgroup of | #26136861, C4×#15688963, #26136873, … |
| maximal quotient of | C2×#20241568, C2×#20241569, C2×#20241587, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6814);