Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Sylow | C43 ⋊ #2884 |
716 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=f,c^2=g,d^2=g,b^a=be,e^a=eg,h^a=h^42,f^b=fg,d^c=dg755 conjugacy classes — view the full character table.
| maximal subgroup of | #25014189, #25014193, #25014203, … |
| maximal normal subgroup of | #25014189, #25014193, #25014203, … |
| maximal quotient of | #25062426, #25062430, #25062530, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12974);