DATA

xhahhxha	60	3	hahaghagah	10	1	101
xhahhxha	60	3	jrthtahtat	8	1	110
xhahhxha	60	3	shdgehsh	8	1	150
hsghtahs	100	19	hahaghagah	10	20	200
hsghtahs	100	19	jrthtahtat	10	20	300
hsghtahs	100	19	shdgehsh	10	20	400

I want to sort this data such that it outputs a unique string from first column (sorted based on second column value, lowest value string first and its best possible match based on the lowest value in the fifth column and highest value in seventh column (if value in the fifth column is equal). so the output should look like this for the above example:

xhahhxha	60	3	shdgehsh	8	1	150
hsghtahs	100	19	shdgehsh	10	20	400