Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C4×M16×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2873 |
564 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=e,b^2=f,e^2=g,d^a=dg,c^b=cg,h^c=h^881828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36451760, #36451762, #36451765, … |
| maximal normal subgroup of | #36451760, #36451762, #36451765, … |
| maximal quotient of | #36520010, #36520034, #36520060, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12927);