Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#15689141 |
| Fitting | C2×#117×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
964 conjugacy classes — view the full character table.
| maximal subgroup of | #26121739, #26121741, #26121746, … |
| maximal normal subgroup of | #26121739, #26121741, #26121746, … |
| maximal quotient of | C2×#20241780, C2×#20241784, C2×#20241776, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13053);