Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | SD16×D188 |
| Fitting | C4×SD16×C47 ⋊ C2 |
| Sylow | C47 ⋊ D4×SD16 |
546 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 546 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 | #26205634, #26205642, #26205649, … |
| maximal normal subgroup of | #26205634, #26205642, #26205649, … |
| maximal quotient of | #26205750, #26205765, #26205780, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 16207);