Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C43 ⋊ #3083 |
376 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=e,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^b=h^42,f^c=fg620 conjugacy classes — view the full character table.
| maximal subgroup of | #25154128, #25154131, #25154152, … |
| maximal normal subgroup of | #25154128, #25154131, #25154152, … |
| maximal quotient of | #25096122, #25097599, #25097632, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14359);