Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C43 ⋊ #1370 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=d,b^2=ce,c^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^b=h^42896 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1370, C2×#19132664, #25008166, … |
| maximal normal subgroup of | D43×#1370, C2×#19132664, #25008166, … |
| maximal quotient of | #24983336, #24983338, #24983459, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 2579);