Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#15688866 |
| Fitting | C2×C4⋊C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#331 |
360 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 117 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 | #26107217, C4×#15688866, #26107230, … |
| maximal normal subgroup of | #26107217, C4×#15688866, #26107230, … |
| maximal quotient of | C2×#20241208, #26104252, #26104554, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 3150);