Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C43×#468 ⋊ C2 |
| Sylow | C43 ⋊ #3062 |
504 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,d^b=dg,d^c=dg,h^c=h^42,h^d=h^42368 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#3062, C2×#19144270, #25963850, … |
| maximal normal subgroup of | D43×#3062, C2×#19144270, #25963850, … |
| maximal quotient of | #25080076, #25080098, #25080120, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14185);