Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#15689318 |
| Fitting | C2×C4×D4×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#459 |
648 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 181 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 | #26111037, #26111039, #26111058, … |
| maximal normal subgroup of | #26111037, #26111039, #26111058, … |
| maximal quotient of | C2×#20242729, C2×#20242743, C2×#20242753, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13922);