I just noticed a difference in the repitation shown in different panels.
As you can see in the first screenshot, I am allied with the faction "United Soch Constitution Party".
As you can see in the second screenshot, you can see my reputation with the same faction is only "friendly".
As I am "friendly" with the superior Empire Faction, I assume this rep adds to the subordinate faction rep, presenting an overall "Allied" repution in your overview.
Still this is not correct, at least for the bulletin board, as there are missions that I can not accept due to a lack of trust with this faction.
This also leads to the following behaviour:
If I open the Bulletin Board, I can see all mission as possible to accept.
When I refresh the board, some missions become unavailable, due to missing trust.
Before submitting a ticket, I just want to make sure I didn't miss anythin obvious.
As you can see in the first screenshot, I am allied with the faction "United Soch Constitution Party".

As you can see in the second screenshot, you can see my reputation with the same faction is only "friendly".

As I am "friendly" with the superior Empire Faction, I assume this rep adds to the subordinate faction rep, presenting an overall "Allied" repution in your overview.
Still this is not correct, at least for the bulletin board, as there are missions that I can not accept due to a lack of trust with this faction.
This also leads to the following behaviour:
If I open the Bulletin Board, I can see all mission as possible to accept.
When I refresh the board, some missions become unavailable, due to missing trust.
Before submitting a ticket, I just want to make sure I didn't miss anythin obvious.