Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#13093951 |
| Sylow | C47 ⋊ C22×#104 |
856 conjugacy classes of subgroups; only the 309 normal subgroups are shown.
This group has 856 conjugacy classes of subgroups — too many to draw. Only its 309 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
976 conjugacy classes — view the full character table.
| maximal subgroup of | #26121786, #26121788, #26121793, … |
| maximal normal subgroup of | #26121786, #26121788, #26121793, … |
| maximal quotient of | C22×D4⋊(C47⋊C8), C22×Q8⋊(C47⋊C8), C2×#20241770, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13047);