Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#15689531 |
| Sylow | C47 ⋊ C2×#501 |
384 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 165 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
676 conjugacy classes — view the full character table.
| maximal subgroup of | #26225087, C4×#15689531, #26225098, … |
| maximal normal subgroup of | #26225087, C4×#15689531, #26225098, … |
| maximal quotient of | C2×#20243555, C2×#20244125, C2×#20244127, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15028);