Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#525 ⋊ C2 |
| Sylow | C43 ⋊ #3191 |
424 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|d^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,c^b=ce,f^c=fg,h^c=h^42620 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#3191, C2×#19145383, #25967167, … |
| maximal normal subgroup of | D43×#3191, C2×#19145383, #25967167, … |
| maximal quotient of | #25105612, #25105618, #25106860, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 15298);