Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D16×Dic47 |
| Sylow | C47 ⋊ C4×D16 |
174 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 67 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
550 conjugacy classes — view the full character table.
| maximal subgroup of | #26136849, D32×Dic47, SD64×Dic47, … |
| maximal normal subgroup of | #26136849, D32×Dic47, SD64×Dic47, … |
| maximal quotient of | D16×C47⋊C8, #26128174, #26128257, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6357);