Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #465×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3174 |
362 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|b^2=g,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^d=h^881000 conjugacy classes — view the full character table.
| maximal quotient of | #36554984, #36558684, #36558688, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 15131);