Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Sylow | C43 ⋊ #2896 |
772 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=f,d^2=g,e^2=g,b^a=be,c^a=cg,e^a=eg,h^a=h^42,e^b=eg884 conjugacy classes — view the full character table.
| maximal subgroup of | #25002059, #25002061, #25002091, … |
| maximal normal subgroup of | #25002059, #25002061, #25002091, … |
| maximal quotient of | #25062972, #25063032, #25063051, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13029);