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 ⋊ #3247 |
398 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|b^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,c^b=ce,f^c=fg,h^c=h^46,h^d=h^46538 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3247, C2×#20254709, #27089104, … |
| maximal normal subgroup of | D47×#3247, C2×#20254709, #27089104, … |
| maximal quotient of | #26226178, #26226185, #26226663, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15831);