Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×#104×C47 ⋊ C2 |
| Sylow | C47 ⋊ #3018 |
724 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^46,e^b=eg,f^b=fg,e^c=eg,h^c=h^46676 conjugacy classes — view the full character table.
| maximal subgroup of | #26222237, #26222242, #26222248, … |
| maximal normal subgroup of | #26222237, #26222242, #26222248, … |
| maximal quotient of | #26188386, #26188437, #26188488, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13861);