Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#15689222 |
| Fitting | C2×#107×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#440 |
544 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 544 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 | #26214767, C4×#15689222, #26214794, … |
| maximal normal subgroup of | #26214767, C4×#15689222, #26214794, … |
| maximal quotient of | C2×#20242199, C2×#20242244, C2×#20242265, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13288);