Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C32×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2258 |
106 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=d,d^2=e,e^2=f,f^2=g,c^b=cg,h^c=h^882896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442240, #36442242, #36474990, … |
| maximal normal subgroup of | #36442240, #36442242, #36474990, … |
| maximal quotient of | #36474606, #36474607, #36474623, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6803);