Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C47×#540 ⋊ C2 |
| Sylow | C47 ⋊ #3257 |
358 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|d^2=e,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,c^b=ce,d^b=dg,f^c=fg,h^c=h^46532 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3257, C2×#20254793, #27089256, … |
| maximal normal subgroup of | D47×#3257, C2×#20254793, #27089256, … |
| maximal quotient of | #26226246, #26226266, #26226685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15915);