Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C47 ⋊ #2245 |
132 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=g,b^2=eg,c^2=d,d^2=fg,e^2=f,f^2=g,b^a=bd,c^a=ce,d^a=df,e^a=efg,f^a=fg,h^a=h^46,c^b=cg946 conjugacy classes — view the full character table.
| maximal subgroup of | #26129942, #26129943, #26129949, … |
| maximal normal subgroup of | #26129942, #26129943, #26129949, … |
| maximal quotient of | #26132664, #26134215, #26134514, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6756);