DizzyMum - I have also successfully referred cases to the LGO. However, they do not act as a further appeal. They will only overturn the decision of a panel if there have been procedural irregularities or if the panel's decision is clearly contrary to the facts, e.g. they have applied ICS rules in a non-ICS case or have ignored clear evidence of the admission procedures being incorrect. Up to now we haven't had that in this case, but I think we now have something to work with.
AngryMa - Thanks for this information. Going through it a bit at a time...
You have confirmed the net capacity and the PAN. I am afraid the fact that classes fall short of 30 does not give them a reason to admit your children. What matters is that the school is up to PAN in the relevant years. Even if they taught them all in classes of 5 it still wouldn't make a place for your children.
It is not unusual for a school to exceed PAN in some years. This can happen due to successful appeals, children with statements of SEN or for a number of other reasons. Unfortunately it doesn't help you. Indeed, in this particular case it probably hinders you.
They seem to have sent out the information in good time so there is nothing to complain about there.
The two small classrooms are definitely crowded. The spreadsheet used to calculate net capacity suggests they can each accommodate 25 children. The 47m2 classroom can take 29 and the others can take 30. The Y3 and Y4 classes will be overcrowded on these figures - the classrooms are not big enough for 34 or 35 children.
The LA's case seems fairly standard to me but I keep coming back to the admission number. There is no way this school should have an admission number of 35. Is this a community school? If so, the admission number is determined by the LA, NOT the governors.
Looking at the decision letter, the one thing that jumps out at me is that there is no indication whatsoever that the panel has considered whether or not your children will be prejudiced by not being admitted to this school. It reads as if they have decided that admitting them to this school would cause prejudice to the school and have stopped at that point. That is the wrong process. They are required to consider the extent to which your children will be prejudiced by not being admitted to this school and then decide whether that outweighs the prejudice to the school. There is nothing in the decision letter to indicate they have done that. In my view that gives you a case to take to the LGO.
Having said that, even if the LGO finds in your favour the most you are likely to get is a further appeal. You don't have to present the same case at the new appeal so you would need to think about how to strengthen your case. The big problem is that admission number. I think we need to get to the bottom of that and find out why it is so high.