Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C43 ⋊ #1338 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=d,b^2=e,c^2=eg,d^2=f,f^2=g,b^a=bc,c^a=ce,c^b=ceg,d^b=dg,h^b=h^42878 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1338, C2×#19132576, #25006414, … |
| maximal normal subgroup of | D43×#1338, C2×#19132576, #25006414, … |
| maximal quotient of | #24983378, #24983408, #24983508, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 2491);