Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #578×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3289 |
448 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=g,e^2=g,f^2=g,b^a=be,c^a=cf,e^a=eg,f^a=fg,d^b=de,e^b=eg,f^c=fg,h^c=h^88,e^d=eg994 conjugacy classes — view the full character table.
| maximal quotient of | #36543799, #36543806, #36543820, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 16281);