Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×D8×C47 ⋊ C2 |
| Sylow | C47 ⋊ #3297 |
420 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=eg,b^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^46,d^b=de,h^b=h^46,f^c=fg,h^d=h^46679 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3297, C2×#20255243, #27092759, … |
| maximal normal subgroup of | D47×#3297, C2×#20255243, #27092759, … |
| maximal quotient of | #26231700, #26232534, #26233457, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 16365);