Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q32×Dic47 |
| Sylow | C47 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
550 conjugacy classes — view the full character table.
| maximal subgroup of | #26136854, SD64×Dic47, #26136861, … |
| maximal normal subgroup of | #26136854, SD64×Dic47, #26136861, … |
| maximal quotient of | Q32×C47⋊C8, #26128195, #26128269, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6369);