Subgroup structure of general affine group:GA(2,3)

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Full information on the subgroup structure is not yet available. Below are listed some subgroups of interest:


 * Special affine group:SA(2,3) is a subgroup of order 216 and index 2.
 * General affine group:GA(1,9) can be viewed as a subgroup of order 72 and index 6.
 * Mathieu group:M9 can be viewed as a subgroup of order 72 and index 6.
 * General linear group:GL(2,3) is a subgroup of order 48 and index 9. It is a retract, i.e., the non-normal part of a semidirect product. Thus, all its subgroups (see subgroup structure of general linear group:GL(2,3)) also occur as subgroups of the whole group.