Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×#10625336 |
| Fitting | C8×Q8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C8×SD16 |
180 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 77 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 | #26128041, C16×#10625336, #26128048, … |
| maximal normal subgroup of | #26128041, C16×#10625336, #26128048, … |
| maximal quotient of | C8×#13093944, C8×#13093948, C8×#13093955, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 3310);