Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D8×D188 |
| Fitting | C4×D8×C47 ⋊ C2 |
| Sylow | C47 ⋊ D4×D8 |
620 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
679 conjugacy classes — view the full character table.
| maximal subgroup of | #26129701, #26129705, #26129729, … |
| maximal normal subgroup of | #26129701, #26129705, #26129729, … |
| maximal quotient of | #26205630, #26205645, #26205660, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 16186);