Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C43×#416 ⋊ C2 |
| Sylow | C43 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=f,c^2=f,d^2=g,e^2=g,b^a=be,e^a=eg,e^b=eg,h^c=h^42644 conjugacy classes — view the full character table.
| maximal subgroup of | #25095148, #25095167, #25095186, … |
| maximal normal subgroup of | #25095148, #25095167, #25095186, … |
| maximal quotient of | #25065971, #25066122, #25066131, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13278);