Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#15689526 |
| Sylow | C47 ⋊ C2×#500 |
424 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 197 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
688 conjugacy classes — view the full character table.
| maximal subgroup of | #26111531, #26111532, #26111534, … |
| maximal normal subgroup of | #26111531, #26111532, #26111534, … |
| maximal quotient of | C2×#20243547, C2×#20244118, C2×#20244348, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15016);