Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15688919 |
| Fitting | C2×#101×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#355 |
260 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 69 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
532 conjugacy classes — view the full character table.
| maximal subgroup of | #26131455, C4×#15688919, #26131467, … |
| maximal normal subgroup of | #26131455, C4×#15688919, #26131467, … |
| maximal quotient of | C2×#20241319, C2×#20241331, #26125550, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6187);