Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C47 ⋊ #1377 |
140 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 140 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.
Polycyclic presentation:
2^7,47|a^2=d,b^2=e,d^2=f,f^2=g,b^a=bc,c^a=cg,d^b=dg,h^b=h^46964 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1377, C2×#20241471, #26131138, … |
| maximal normal subgroup of | D47×#1377, C2×#20241471, #26131138, … |
| maximal quotient of | #26103111, #26103121, #26103128, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 2593);