Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×AGL(1,ℤ/8)×C47 ⋊ C2 |
| Sylow | C47 ⋊ #3274 |
556 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|b^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,c^b=cg,d^b=de,e^b=eg,h^c=h^46,e^d=eg535 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3274, C2×#20255002, #27091452, … |
| maximal normal subgroup of | D47×#3274, C2×#20255002, #27091452, … |
| maximal quotient of | #26207559, #26207646, #26207652, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 16124);