Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C22×M16×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2896 |
772 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,d^2=g,e^2=g,b^a=be,c^a=cg,e^a=eg,h^a=h^88,e^b=eg,h^b=h^881804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36459889, #36459895, #36459921, … |
| maximal normal subgroup of | #36459889, #36459895, #36459921, … |
| maximal quotient of | #36520804, #36520864, #36520883, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13030);