Averaging multiple columns based on row values

Hi all, I am trying to do an average for a specific set of columns (some contiguous and some non-contiguous) and want to only average them by criteria that is specified in a seperate column. For example lets say we have Table1 below.

A B C D E
$20 $2 $12 12 Shoe1
$25 $1 $10 11 Shoe1
$19 $2 $10 5 Shoe1
$21 $2 $11 3 Shoe2
$23 $2 $9 17 Shoe2

On a different sheet, I have Table2 as such.
Shoe1 Shoe2
FORMULA HERE that refers to "Shoe1" above and averages columns A-C Formula dragged across here to refer to Shoe2
FORMULA HERE that refers to "Shoe1" above and averages columns A, B and D Formula dragged across here to refer to Shoe2

How could I have a formula in one cell on a different sheet find me the average of all values for "Shoe1" for Columns A-C and another find me the average of Columns A, B and D? And set up so that it can be dragged across Table2. Would appreciate any help here! Thanks.