Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×Q16×C43 ⋊ C2 |
| Sylow | C43 ⋊ #3104 |
384 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=g,c^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^42,f^c=fg626 conjugacy classes — view the full character table.
| maximal subgroup of | #25066487, #25066489, #25066520, … |
| maximal normal subgroup of | #25066487, #25066489, #25066520, … |
| maximal quotient of | #25096607, #25099587, #25099589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14547);