Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C32×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22⋊C32 |
82 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,d^2=e,e^2=f,f^2=g,b^a=bc,h^b=h^882896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊C32×D89, C2×#26018389, #36474620, … |
| maximal normal subgroup of | C22⋊C32×D89, C2×#26018389, #36474620, … |
| maximal quotient of | #36441766, #36441826, #36441865, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2647);