Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#15689279 |
| Sylow | C47 ⋊ C2×#451 |
740 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 740 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.
958 conjugacy classes — view the full character table.
| maximal subgroup of | #26111405, #26111411, #26112716, … |
| maximal normal subgroup of | #26111405, #26111411, #26112716, … |
| maximal quotient of | C2×#20242345, C2×#20242413, C2×#20242362, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13704);