Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C43×#466 ⋊ C2 |
| Sylow | C43 ⋊ #3294 |
494 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=de,f^c=fg,h^c=h^42,h^d=h^42497 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#3294, C2×#19146403, #25973081, … |
| maximal normal subgroup of | D43×#3294, C2×#19146403, #25973081, … |
| maximal quotient of | #25111998, #25112806, #25113735, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 16318);