Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#15688916 |
| Sylow | C47 ⋊ C2×#353 |
368 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 77 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
670 conjugacy classes — view the full character table.
| maximal subgroup of | #26104017, #26104018, #26104041, … |
| maximal normal subgroup of | #26104017, #26104018, #26104041, … |
| maximal quotient of | C2×#20241320, C2×#20241334, #26125548, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6168);