Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C2×#97×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2875 |
556 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=e,b^2=f,e^2=g,b^a=bg,d^c=dg,h^d=h^881828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36451236, #36451240, #36451243, … |
| maximal normal subgroup of | #36451236, #36451240, #36451243, … |
| maximal quotient of | #36520018, #36520037, #36520099, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12935);