Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#15689560 |
| Fitting | C2×SD32×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#509 |
400 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
538 conjugacy classes — view the full character table.
| maximal subgroup of | #26369593, C4×#15689560, #26369615, … |
| maximal normal subgroup of | #26369593, C4×#15689560, #26369615, … |
| maximal quotient of | C2×#20245102, C2×#20245099, C2×#20245175, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 17634);