Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #338×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2091 |
222 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=de,d^2=g,b^a=bd,c^a=ce,f^a=fg,c^b=cf,d^b=dg,e^b=eg,h^b=h^88,h^c=h^88994 conjugacy classes — view the full character table.
| maximal subgroup of | #36467754, #36467759, #36467765, … |
| maximal normal subgroup of | #36467754, #36467759, #36467765, … |
| maximal quotient of | #36459398, #36459405, #36459410, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6027);