Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C47×#449 ⋊ C2 |
| Sylow | C47 ⋊ #3013 |
712 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|b^2=g,d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,e^b=eg,h^b=h^46,d^c=dg,h^d=h^46469 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3013, C2×#20252701, #27082740, … |
| maximal normal subgroup of | D47×#3013, C2×#20252701, #27082740, … |
| maximal quotient of | #26189491, #26189499, #26189579, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13823);