Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#15689119 |
| Sylow | C47 ⋊ C2×#416 |
792 conjugacy classes of subgroups.
976 conjugacy classes — view the full character table.
| maximal subgroup of | #26121779, #26121781, #26121800, … |
| maximal normal subgroup of | #26121779, #26121781, #26121800, … |
| maximal quotient of | C2×#20241770, C2×#20241822, #26182690, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13006);