Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C47×#364 ⋊ C2 |
| Sylow | C47 ⋊ #1359 |
102 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=d,c^2=f,d^2=efg,e^2=g,b^a=bc,c^a=ce,e^a=eg,f^a=fg,c^b=cf,d^b=defg,e^b=eg,h^b=h^46667 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1359, C2×#20241428, #26127493, … |
| maximal normal subgroup of | D47×#1359, C2×#20241428, #26127493, … |
| maximal quotient of | #26103002, #26103004, #26103005, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 2550);