Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C43 ⋊ #2916 |
440 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=f,b^2=e,e^2=g,f^2=g,b^a=be,e^a=eg,h^a=h^42,d^c=dg884 conjugacy classes — view the full character table.
| maximal subgroup of | #25012932, #25012936, #25012937, … |
| maximal normal subgroup of | #25012932, #25012936, #25012937, … |
| maximal quotient of | #25065586, #25065591, #25065640, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13121);