Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#15689940 |
| Fitting | C2×#131×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#578 |
1408 conjugacy classes of subgroups; only the 549 normal subgroups are shown.
This group has 1408 conjugacy classes of subgroups — too many to draw. Only its 549 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
964 conjugacy classes — view the full character table.
| maximal subgroup of | #26131968, #26131971, #26131978, … |
| maximal normal subgroup of | #26131968, #26131971, #26131978, … |
| maximal quotient of | C2×#20251922, C2×#20251988, C2×#20252233, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 19277);