Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #478×C89 ⋊ C2 |
| Sylow | C89 ⋊ #3240 |
328 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|b^2=eg,c^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,c^b=ceg,h^b=h^88,f^c=fg,h^d=h^88862 conjugacy classes — view the full character table.
| maximal quotient of | #36563969, #36564172, #36565006, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 15749);