Please see MaximalSubgroups (I presume you should know already how
to construct D8 from previous replies, so I am not giving an example).

This is how to find its documentation in GAP:

gap> ?MaximalSubgroups
Help: several entries match this topic - type ?2 to get match [2]

[1] Reference: MaximalSubgroups
[2] Reference: MaximalSubgroupsLattice
[3] Reference: MaximalSubgroups for groups with pcgs
[4] Reference: MaximalSubgroupsTom

Now type ?1 etc.

Also, this is useful:


> On 2 May 2015, at 09:37, abdulhakeem alayiwola <> wrote:
> how do one find the maximal subgroups of a group say D8  using gap?
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