Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#15688864 |
| Sylow | C47 ⋊ C2×#330 |
232 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 85 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 | #26107195, C4×#15688864, #26107203, … |
| maximal normal subgroup of | #26107195, C4×#15688864, #26107203, … |
| maximal quotient of | C2×#20241210, C2×#20241212, #26104249, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 3093);