Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #496×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3399 |
418 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=eg,c^2=e,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^b=de,f^c=fg,h^c=h^88,h^d=h^88733 conjugacy classes — view the full character table.
| maximal quotient of | #36571261, #36571272, #36573277, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17549);