Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×#131×C43 ⋊ C2 |
| Sylow | C43 ⋊ #3067 |
452 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|b^2=e,d^2=g,e^2=g,f^2=g,b^a=be,c^a=cf,e^a=eg,f^a=fg,h^a=h^42,f^c=fg872 conjugacy classes — view the full character table.
| maximal subgroup of | #25013553, #25013555, #25013609, … |
| maximal normal subgroup of | #25013553, #25013555, #25013609, … |
| maximal quotient of | #25078839, #25078867, #25078907, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14230);