The Intransitive Groups of Degree 9 |
Common terms and phrases
02 order 12 in G 18-3 isomorphism 3-1 isomorphism 9 which contain ab.de th ab.ef ab.fg abode ac.df acbd ad.be.cf alternating group be.od C₁ C₂ order 108 constituent of degree contain a transitive contain the invariant contains no invariant Croups cyclic 3 group D₂ D5 order 40 degree 9 degree and order dihedral group direct product distinct invariant subgroups E₂ F₁ F₂ fh.gi G₁ G₁₂ G₂ groups of degree groups of order half its order intransitive groups invariant subgroup abc isomorphic to F isomorphism 34 isomorphism F leaves two distinct metacyclic group octic group one-third its order order 12 order 18 F order 24 order 9 permutation possible invariant sub possible invariant subgroup quotient group simple group stituent of degree subgroup of half subgroup of order Sylow subgroup symetric group third its order three invariant subgroups three possible invariant tive constituent transitive constituent