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 ⋊ #3346 |
356 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=eg,c^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^46,c^b=cg,d^b=de,h^b=h^46,f^c=fg,h^c=h^46535 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3346, C2×#20255879, #27094929, … |
| maximal normal subgroup of | D47×#3346, C2×#20255879, #27094929, … |
| maximal quotient of | #26232602, #26232662, #26233986, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 17001);