Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #339×D47 |
| Fitting | C47×#339 ⋊ C2 |
| Sylow | C47 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
700 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#339×D47, D47×#1733, #26213667, … |
| maximal normal subgroup of | C2×#339×D47, D47×#1733, #26213667, … |
| maximal quotient of | D47×#1276, #26105718, #26105724, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 4214);