Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×M16×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2970 |
406 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,d^a=dg,h^a=h^88,h^b=h^88,d^c=dg1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36450222, #36450226, #36450236, … |
| maximal normal subgroup of | #36450222, #36450226, #36450236, … |
| maximal quotient of | #36552709, #36552715, #36552835, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13525);