Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×D8×C43 ⋊ C2 |
| Sylow | C43 ⋊ #3100 |
492 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^42,f^c=fg626 conjugacy classes — view the full character table.
| maximal subgroup of | #25066460, #25066462, #25066529, … |
| maximal normal subgroup of | #25066460, #25066462, #25066529, … |
| maximal quotient of | #25096593, #25099521, #25099523, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14508);