Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C47×#485 ⋊ C2 |
| Sylow | C47 ⋊ #3197 |
418 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|d^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^46,c^b=ceg,h^b=h^46,f^c=fg,h^c=h^46463 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3197, C2×#20254232, #27086919, … |
| maximal normal subgroup of | D47×#3197, C2×#20254232, #27086919, … |
| maximal quotient of | #26225343, #26225344, #26226562, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15354);