Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#15689203 |
| Fitting | C2×#102×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×C4×D8 |
616 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 205 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
700 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#15689203, #26214757, #26214784, … |
| maximal normal subgroup of | C4×#15689203, #26214757, #26214784, … |
| maximal quotient of | C2×#20242180, C2×#20242214, C2×#20242220, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13258);