Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C47×#451 ⋊ C2 |
| Sylow | C47 ⋊ #1602 |
256 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 51 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=f,b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,e^b=eg,d^c=dg,h^c=h^46460 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1602, C2×#20242343, #26188380, … |
| maximal normal subgroup of | D47×#1602, C2×#20242343, #26188380, … |
| maximal quotient of | #26105097, #26105099, #26105114, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 3465);