Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#15689120 |
| Fitting | C23×C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#416 |
792 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 269 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26121778, #26121784, #26121799, … |
| maximal normal subgroup of | #26121778, #26121784, #26121799, … |
| maximal quotient of | C2×#20241771, C2×#20241823, #26182691, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13007);