Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C89 ⋊ #2030 |
290 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=d,c^2=g,b^a=bd,c^a=ce,f^a=fg,c^b=cf,e^b=eg,h^c=h^88994 conjugacy classes — view the full character table.
| maximal subgroup of | #36467153, #36467155, #36467167, … |
| maximal normal subgroup of | #36467153, #36467155, #36467167, … |
| maximal quotient of | #36457405, #36457410, #36457425, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 5676);