Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #436×C89 ⋊ C2 |
| Sylow | C89 ⋊ #2969 |
370 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,h^a=h^88,c^b=cg,h^b=h^88,d^c=dg,h^c=h^88,h^d=h^881282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36525341, #36525345, #36525378, … |
| maximal normal subgroup of | #36525341, #36525345, #36525378, … |
| maximal quotient of | #36552699, #36552730, #36552823, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13517);