Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C47×#465 ⋊ C2 |
| Sylow | C47 ⋊ #3173 |
362 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^d=h^46538 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3173, C2×#20253998, #27086125, … |
| maximal normal subgroup of | D47×#3173, C2×#20253998, #27086125, … |
| maximal quotient of | #26216834, #26220534, #26220538, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15120);