Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C47 ⋊ #1565 |
180 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 113 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,47|a^2=e,b^2=d,d^2=f,e^2=g,b^a=bd,d^a=df,h^a=h^46,c^b=cf964 conjugacy classes — view the full character table.
| maximal subgroup of | #26110141, #26110142, #26110146, … |
| maximal normal subgroup of | #26110141, #26110142, #26110146, … |
| maximal quotient of | #26105740, #26107475, #26109121, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 3262);