Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #542×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3257 |
358 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|d^2=e,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^88,c^b=ce,d^b=dg,f^c=fg994 conjugacy classes — view the full character table.
| maximal quotient of | #36564402, #36564411, #36564835, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 15921);