Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#15689105 |
| Fitting | C22×M16×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
964 conjugacy classes — view the full character table.
| maximal subgroup of | #26121614, #26121617, #26121624, … |
| maximal normal subgroup of | #26121614, #26121617, #26121624, … |
| maximal quotient of | C2×#20241700, C2×#20241704, #26182089, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 12983);