Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #416×D47 |
| Fitting | C47×#416 ⋊ C2 |
| Sylow | C47 ⋊ C2×#416 |
792 conjugacy classes of subgroups.
700 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1764, D47×#1765, #26214138, … |
| maximal normal subgroup of | D47×#1764, D47×#1765, #26214138, … |
| maximal quotient of | D47×#1476, D47×#1488, #26182686, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13002);