Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#482 ⋊ C2 |
| Sylow | C43 ⋊ #3122 |
418 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,f^c=fg,h^c=h^42,h^d=h^42431 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#3122, C2×#19144834, #25964960, … |
| maximal normal subgroup of | D43×#3122, C2×#19144834, #25964960, … |
| maximal quotient of | #25096684, #25099683, #25099691, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14749);