Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C43×#520 ⋊ C2 |
| Sylow | C43 ⋊ #3046 |
472 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=g,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^42,d^b=dg,f^c=fg746 conjugacy classes — view the full character table.
| maximal subgroup of | #25134662, #25134667, #25134677, … |
| maximal normal subgroup of | #25134662, #25134667, #25134677, … |
| maximal quotient of | #25082063, #25082074, #25082085, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14060);