Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#13093943 |
| Sylow | C47 ⋊ C22×#101 |
736 conjugacy classes of subgroups; only the 309 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 309 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 | #26121600, #26121601, #26121645, … |
| maximal normal subgroup of | #26121600, #26121601, #26121645, … |
| maximal quotient of | C22×#15688849, C2×#20241712, C2×#20241718, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 12980);