Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C47 ⋊ #3178 |
350 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^b=dg,h^d=h^46400 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3178, C2×#20254049, #27086171, … |
| maximal normal subgroup of | D47×#3178, C2×#20254049, #27086171, … |
| maximal quotient of | #26216852, #26220561, #26220581, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15171);