Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#465 ⋊ C2 |
| Sylow | C43 ⋊ #3173 |
362 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^d=h^42494 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#3173, C2×#19145205, #25966444, … |
| maximal normal subgroup of | D43×#3173, C2×#19145205, #25966444, … |
| maximal quotient of | #25097153, #25100853, #25100857, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 15120);