Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | SD16×C22⋊D47 |
| Fitting | C22×SD16×C47 ⋊ C2 |
| Sylow | C47 ⋊ D4×SD16 |
546 conjugacy classes of subgroups.
679 conjugacy classes — view the full character table.
| maximal subgroup of | D4×SD16×D47, C2×SD16×C22⋊D47, #27091567, … |
| maximal normal subgroup of | D4×SD16×D47, C2×SD16×C22⋊D47, #27091567, … |
| maximal quotient of | #26205741, #26205746, #26205756, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 16200);