Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C43 ⋊ #2911 |
492 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=f,b^2=e,d^2=g,e^2=g,b^a=be,e^a=eg,c^b=cg,h^b=h^42884 conjugacy classes — view the full character table.
| maximal subgroup of | #25002668, #25002670, #25002671, … |
| maximal normal subgroup of | #25002668, #25002670, #25002671, … |
| maximal quotient of | #25065580, #25065619, #25065631, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13099);