Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2364 |
716 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^2=g,c^2=ef,b^a=be,c^a=cf,h^a=h^88,d^b=de1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36450986, #36450990, #36451000, … |
| maximal normal subgroup of | #36450986, #36450990, #36451000, … |
| maximal quotient of | #36475861, #36475926, #36476008, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7560);