Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C47×#482 ⋊ C2 |
| Sylow | C47 ⋊ #3341 |
364 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=eg,b^2=g,c^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=de,f^c=fg,h^d=h^46472 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3341, C2×#20255805, #27094785, … |
| maximal normal subgroup of | D47×#3341, C2×#20255805, #27094785, … |
| maximal quotient of | #26232537, #26232542, #26233933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 16927);