Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | C4⋊#15667918 |
| Sylow | C89 ⋊ C4⋊C32 |
62 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,b^2=c,d^2=e,e^2=f,f^2=g,b^a=bc,h^a=h^882896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441866, #36441867, #36441869, … |
| maximal normal subgroup of | #36441866, #36441867, #36441869, … |
| maximal quotient of | #36442094, #36442101, #36442115, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2706);