Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#15689237 |
| Fitting | C2×#104×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
700 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#15689237, #26214829, #26214836, … |
| maximal normal subgroup of | C4×#15689237, #26214829, #26214836, … |
| maximal quotient of | C2×#20242180, C2×#20242185, C2×#20242191, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13397);