Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×#41×C43 ⋊ C2 |
| Sylow | C43 ⋊ #2943 |
492 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=f,c^2=f,d^2=g,e^2=g,b^a=be,c^a=cg,e^a=eg,e^b=eg,h^b=h^42884 conjugacy classes — view the full character table.
| maximal subgroup of | #25095155, #25095158, #25095174, … |
| maximal normal subgroup of | #25095155, #25095158, #25095174, … |
| maximal quotient of | #25066001, #25066167, #25066171, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13308);