Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#468 ⋊ C2 |
| Sylow | C43 ⋊ #3183 |
370 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|b^2=g,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^c=dg,h^d=h^42368 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#3183, C2×#19145317, #25966571, … |
| maximal normal subgroup of | D43×#3183, C2×#19145317, #25966571, … |
| maximal quotient of | #25097197, #25100913, #25100924, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 15232);