Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C43 ⋊ #1328 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=d,b^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,e^a=eg,c^b=cg,d^b=de,h^b=h^42,d^c=dg488 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1328, C2×#19132547, #25005789, … |
| maximal normal subgroup of | D43×#1328, C2×#19132547, #25005789, … |
| maximal quotient of | #24983235, #24983237, #24983238, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 2462);